diff --git "a/data/dm_maths/full_data_1/131_11255.jsonl" "b/data/dm_maths/full_data_1/131_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/131_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Convert 27556.01 micrometers to nanometers.\nAnswer: 27556010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252137 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(4) + (sqrt(64)\/sqrt(2))\/sqrt(8))\/sqrt(2).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3 + -2 - 1)*-19. Let x(y) = 29*y**2 + 3*y + y**3 - 3 - u*y**2 - 12*y**2. Let v be x(2). Which is the closest to v? (a) -1 (b) -2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*h + 11. Solve 0 = -q - 0*q + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 616? (a) 33\/7 (b) 0.6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 4.0808?\nAnswer: 32.9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -855771.72\nAnswer: 5990402.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/58 and 26\/261.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeiihezeiihzzhfee. What is prob of picking 1 h and 1 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62.6 and -6346?\nAnswer: 6283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let r be g(5). Let a(h) = 7*h + 4. Let b(t) = 15*t + 7. Let s(k) = r*b(k) + 7*a(k). Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from yqqyqyyqyyy?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*13.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36717 greater than -335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 4) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661297 to the power of 1\/2, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3\/4 - 21*b**2\/4 - 21*b\/2 + 36 = 0.\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 + 636\/72 + -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.2 - 47. Let u = -1\/55 - 2\/11. Let i = -119\/6 - -41\/2. Put u, r, i in descending order.\nAnswer: i, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + (-6*sqrt(152)*2)\/(1*sqrt(8)*1) + 5)*-2.\nAnswer: -20 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 18*j - 202. Let z(g) = g**2 - g - 3. Let l be z(3). Calculate the highest common factor of l and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)*i**(-1\/5)*i\/(i*i*((i*i*i**(-5\/3)*i*i)\/i)\/i*i*i)*i*i*(i**(-4\/5)\/i)\/i)**46)**(17\/2) assuming i is positive.\nAnswer: i**(-11339\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 133862*c - 23*c**3 - 133862*c.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m. Let o = 4 - 0. Let q(y) = -y + 4*y - o*y. Calculate q(n(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-9) + 280\/21 + -12. Solve -m + 13 = -b*y, -2*y - 2*m + 10 = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32169709111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, -0.14, -58\/3, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37058878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, -20, -56, -94, -134, -176, -220?\n\"Answer: -z**2 - 31*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599024 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i + 0*i**2 + 13*i + i**2 - 25*i in the form p*i**2 + c*i + g and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h + 2. Let u(i) = 31*i + 6. Determine 4*r(v) - u(v).\nAnswer: 57*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88702416 divided by -3828.\nAnswer: 23172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-247) - (-1582)\/26. Suppose v*w = 68*w - 84. Calculate the least common multiple of 20 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -3281?\nAnswer: 3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + i**4 + i**4 + (-i**3 - 1 + 1)*(-6*i + i + 4*i) to the form t*i**4 + m*i**2 + s + j*i + v*i**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11215, 11160, 10947, 10498, 9735, 8580, 6955, 4782?\n\"Answer: -13*b**3 - b**2 + 39*b + 11190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -124592 in descending order.\nAnswer: 2, -9, -124592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) -13 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/11837 and -61\/305092.\nAnswer: 40577236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 40437*j + 40881795. What is b(-1011)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1468 = h, -6 = h - 10. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70635)\/(-2295) + (-22 - (-1 - -4 - 2)).\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2837*h + 158860. Give z(56).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3135 + -2635. Calculate the remainder when k is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-441)\/(-4)*1656\/3105 + 3*2. Let x(y) be the first derivative of -6 - 36\/5*y**2 - 4\/15*y**3 - d*y. Factor x(i).\nAnswer: -4*(i + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/35)*l*l*l**3*l*l*l**(-2\/3)*l\/l**(-9) assuming l is positive.\nAnswer: l**(1709\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 140 = 2*n. Suppose n = 5*w - 0*w. Suppose w*z = 3*h + 2*z - 625, 2*h = 3*z + 415. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111863507 - -6.858?\nAnswer: -111863500.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30589366 to the nearest integer?\nAnswer: 5531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -33. Let v(u) = 3*u**2 - u - 3*u**2 + u**q. Let o(w) = w**2 - w. Calculate o(p) + v(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*z**3 - 3 + 2 - 3 + 4.\nAnswer: 725*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*o - 52 = 83*o. Let i = 8 + -5. Suppose 94 = i*a + o. What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 32\/3*z**3 - 1 - 8*z**2 - 36\/5*z**5 + 3*z**4 + 0*z. Find p such that r(p) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*t + 53 = 68, 0 = -5*j - 5*t - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 33. Give n(-9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-2\/17))\/m)\/(m*m*m*m\/m**(-2\/11)))**(-2\/61))**(-1\/7) assuming m is positive.\nAnswer: m**(-1520\/79849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -1 + sqrt(76) + 2 - (0 + sqrt(76) + 0 + 5))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -54a?\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.5 (b) 0 (c) -1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-2\/7)*u)\/u)**(1\/28)\/(u*u**(1\/5)*u*(u\/((u*u**(-2)\/u)\/u))\/u*u)*u*u**4*u*u**(-4)*(u**1)**(-12) assuming u is positive.\nAnswer: u**(-3949\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 8550.\nAnswer: 94050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290 + 272. Is q greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 167*w**2 + 1028*w - 579. Give r(-173).\nAnswer: 1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**7\/2520 + v**6\/240 + v**5\/30 - v**4\/12 - 5*v**2. Let t(m) be the second derivative of h(m). What is t(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -1. Let m = r + 0.6. Suppose -4*f = 5*y + 5, 2*y + 2*f - 9 + 11 = 0. What is the closest to m in y, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d - 447916 = -84334. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 39 + 7 = 3*t, -4*b + 171 = -t. Let w = -8 + b. Sort 2, 4, -3, w.\nAnswer: -3, 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdwtdwwdwwtwww. Give prob of picking 2 d and 2 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 1\/20*z**4 + 0 - 1\/10*z**3 + 3\/100*z**5 + 9*z - 1\/50*z**6 + 0*z**2. Factor o(y).\nAnswer: -3*y*(y - 1)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 4:10 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13847 - 10281 = -104*d. What is the highest common divisor of 493 and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -fc0e (base 16) in base 14?\nAnswer: -19730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1908 + -1273. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -933*a**2 + 1731*a - 9150550.\nAnswer: -1866*a + 1731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 5*t + 6. Let r be y(-2). Solve -10 = 2*n - 2*b, r = 2*n - 3*b + 10 + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**5 + 851*h**2 + 33123*h?\nAnswer: 140*h**3 + 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16396875 and 6413.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2140 + -2135. Solve -4*r = -2*o - 35 + 15, -r + 2*o + l = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55047899?\nAnswer: 55047899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -18 (c) -4 (d) 5 (e) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 at least as big as 698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/1440 and 92\/836385.\nAnswer: 80292960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*i + 198, -98 = 10*i - 12*i + 2*m. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62852 - -5?\nAnswer: 62857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 6\/29 (b) 0.2 (c) -2\/15 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/37101746 and 73\/7665650.\nAnswer: 927543650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1\/2))\/v)\/v*v)\/(v\/(v\/v**(1\/6))))\/(v**25\/((v*v**(-12\/7))\/v*v)) assuming v is positive.\nAnswer: v**(-554\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, b: 5}. What is prob of sequence bjb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753788 + 376893 - 454*h**3 + 376895.\nAnswer: -454*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25378*b**2 + 25378*b**2 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 7:08 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - x - 6. Let t be 1\/4 - (-4)\/(-16). Suppose t = -3*k + 6*k + 21. Let p be y(k). Sort -5, p, 4.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.43489 hours to milliseconds.\nAnswer: 19565604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3 = v, -2*r - 5*v - 5 = -2*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16771 is divided by 1522?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 202022212012 (base 4) to base 2\nAnswer: 100010001010100110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**3 + 7*n**2 + 14*n + 36. Let d be z(6). Calculate the remainder when 132 is divided by (-268)\/d - 3\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5599134 divided by 1\nAnswer: 5599134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*b + 4*s - 28 = 127*b, 4*s = 3*b + 8. Let a(k) = -k**2 + 2*k + 3. Let u(r) = 2*r**2 - 3*r - 2. Give b*a(f) + 3*u(f).\nAnswer: 2*f**2 - f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 2*m**3 + 0*m**3 - m**4 + 2*m**2 - 4*m**3 to the form q*m**3 + v*m + n*m**2 + j + a*m**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -446b?\nAnswer: -446b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/31234395 and 191\/10050?\nAnswer: 312343950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 11:00 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70336?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*w - 232*w + 8481893 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*i - 2 = 0, -4*i + 0*i = 5*g - 30. Suppose -g*u = -4*u + 36. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-36))\/(-5) + 29\/18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -106. Suppose f = -3*p + q, -2*f - 4*p + 440 = 3*f. Suppose -72 = -2*w + 2*j - 0*j, -2*w + f = -5*j. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 174205 and -522558.\nAnswer: -348353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/(c**(1\/24)*c)*c\/(c*c\/c**8*c)*c*(c*c**15)\/c)**(-34) assuming c is positive.\nAnswer: c**(-25925\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:06 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19423*y**2 - 1 + 3 + 19425*y**2 - 2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.93*-1352.\nAnswer: 6665.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1206 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(4\/11)*w*w\/(w\/(w**(-4\/3)\/w))*(w*(w**(1\/19)\/w)\/w)\/(w*w**6\/w) assuming w is positive.\nAnswer: w**(-4337\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - b52?\nAnswer: -b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (4 - 6 - 1\/(-1)). Put 0.4, i, -6, -45, -5 in increasing order.\nAnswer: -45, -6, -5, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**5 - 373751*h**4 - 46719*h**3.\nAnswer: h**3*(h - 46719)*(8*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115779 is divided by 19296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*m = -3129 - 8484 - 13965 + 3381 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1205162*y*z**2 + 2*z**2 - 158922*z wrt y.\nAnswer: 1205162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61597, 116107, 170617?\n\"Answer: 54510*z + 7087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/18963 and -67\/14?\nAnswer: 37926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.133 and 4803?\nAnswer: -10244.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 - 5*j + 8. Let a be w(-6). What is the second derivative of -4*i**5 + i + 3*i**5 - 2*i - a*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-7 + 0 + (-110 - -92))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ec + -5?\nAnswer: -1f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, v: 3, w: 3}. Give prob of sequence vovv.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 37133688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.01. Let k = l + 0.24. Which is the second smallest value? (a) -3 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76) + (sqrt(76) + -1)*6 + sqrt(76))*5.\nAnswer: -27 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 6898230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 52*a**5\/5 - 35*a**3\/3 + 61. What is the third derivative of n(d) wrt d?\nAnswer: 1248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 1. What is the closest to u in -0.3, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/35 and -4\/69595.\nAnswer: 487165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -477. What are the prime factors of b?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45834083?\nAnswer: 37, 1238759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -40 + 21 + 21 - 2*q. Let x(f) = f - 2. Let m be x(-1). Determine a(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y, 0 = -5*b - 2*y + y + 4372. Suppose -147*d + b = -142*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 118 + (1780\/(-200) - (-3)\/(-30)). What is the highest common divisor of m and 1853?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11777405, -11777413, -11777419, -11777423, -11777425, -11777425?\nAnswer: -11777423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 5241*i**2 - 131956*i - 1611396.\nAnswer: (i - 34)*(i + 9)*(i + 5266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 12*g**2 + 2*g - 16. Let x = 109 + 63. Let f = -160 + x. What is m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z - 6. Let r(v) = 21*v + 6. Determine 4*r(l) + 6*u(l).\nAnswer: -30*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**5\/5 - 278*k**4\/5 - 2904*k**3\/5 + 78002*k**2\/5 + 42272*k - 24960 = 0.\nAnswer: -40, -3, 1\/2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-6 - 50) + -15 + (-2 - 5)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -73*c - 52. What are the prime factors of z(-13)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 76*g. Let o(j) = -252*j. Determine x(o(m)).\nAnswer: -19152*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + a + 0*a)*(-80502 + 55559 + 42641) in the form u + m*a and give m.\nAnswer: 17698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 49613*c + 2827993. Determine o(-57).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 5*k**6\/6 + 37*k**5\/5 - 7*k**4\/4 - 41*k**3\/3 + k**2 + 34*k + 822. Find the third derivative of i(p) wrt p.\nAnswer: 300*p**2 + 888*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 5. Let q be (-2)\/(2 - (-1 - j)). Let b = 37 + -19. Solve -b = -5*l + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14030 is divided by 203.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 1665*y + 47193. Calculate u(28).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -931*c**2*v**2 + 498469*c**2*v - c**2 + 23*c*v**2 + c*v + 12*v**2 + v - 1 wrt v.\nAnswer: -1862*c**2 + 46*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {a: 1, e: 1, h: 2, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z**2 - 18*z**2 - 14*z**2 + 837*z**3 - 819*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006436 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/16*-2*(-2)\/(-2477). Let y = 235333\/44586 - t. Let m = 642 - 3863\/6. What is the common denominator of y and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(265\/30) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k - 4. What is the remainder when r(5) is divided by 49\/(980\/(-240)) - -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m + 108. What is r(1)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u, -16*l + 2*u + 358 = -12*l. Let d(r) = 10*r + 2. Let s be d(1). Calculate the greatest common factor of l and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 8, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33083?\nAnswer: 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3208073369.\nAnswer: 151, 21245519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375817 is divided by 125271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174986363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12560 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 117392.\nAnswer: 117392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -9) + -1 + 28 + -35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 59. What is the tens digit of (t\/4)\/(-5 - 61\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*r**2 - 888*r**2 + 8*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 = -0, 4*h - 153 = -5*r. What is the remainder when 292 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 2. Let j(l) = 0*l - 3 + 4*l - 5*l. Let r be j(m). Solve -r*k + 4*k = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69940*x**2 + 3*x**3 - 3*x + 2*x + 69940*x**2 + x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 281842?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 + 151*q + 858. What is n(-9)?\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*n**15)*n)\/n*n)**(-3\/23) assuming n is positive.\nAnswer: n**(39\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) -7091 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14795860099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 13*h**2 + 4*h)*(-3 + 3 - 2*h**2) - 1 + h**4 + 1 + 0*h - 3*h**4 + 0*h - h**2 as g*h**4 + f*h**3 + k + n*h**2 + j*h and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 3077.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 126190, -0.6, -0.3, 13 in decreasing order.\nAnswer: 126190, 13, -0.3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 361810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 2581692.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:12 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 51840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(-37 + 28 - 37\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7397885 and 6985.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(931) - sqrt(57)\/(3*sqrt(3)).\nAnswer: 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -518*g + 13*g**2 + 3671*g - 16*g**2.\nAnswer: -3*g*(g - 1051)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664304 is divided by 21427.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*i + 117*i - 18*i + 57*i**3.\nAnswer: 57*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -34. Suppose u + q = 0, 5*o - u - u = -122. Let k = 80 + o. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdg when three letters picked without replacement from vddfggvfvvduvvvvzfv?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:03 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/93 + 5846\/16058?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:04 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*d + 350, -51*i = -49*i - 3*d - 225. Solve -9*t - i + 102 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1216) + (0 + sqrt(1216) + sqrt(1216) - sqrt(1216)) + -5 + sqrt(1216)*1 + -5)**2 - (sqrt(209)\/sqrt(176) - ((sqrt(76)\/sqrt(4))**2 + 1))*5).\nAnswer: -1925*sqrt(19)\/4 + 11145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 759\/370 - 188611\/2590. Let o = d + 356\/5. Factor -3\/7*t**3 + 5\/7*t**2 - 4\/7 - 1\/7*t**4 + o*t.\nAnswer: -(t - 1)**2*(t + 1)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(450) + -4 + sqrt(450) + -4 + 2*(2 + sqrt(450)))**2*-4.\nAnswer: -28864 + 1920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/18943?\nAnswer: 3\/18943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6 and -69\/266704?\nAnswer: 800112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1569826898 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + 3*p)*(-2 + 2 - p**4) + (p**3 + 4*p**3 - 3*p**3)*(-3*p**2 - p + p + (-3*p + 3*p - 2*p)*(2*p + p + 0*p)).\nAnswer: -21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*o + 12 - 38, -4*f = 3*o + 3. Suppose 3*s = f*y + 43 + 11, -4*s = y - 52. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4*v**2 + 2*v)*(9 - 9 + 6*v**3)*(-27 + 7 + 11).\nAnswer: 216*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 4*x + 1. Let c be u(-5). Let s be 8\/c - 4\/(-6). Solve -p - s = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2796.2 and 2610978138.\nAnswer: 2610975341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a hour in seconds?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 71, 92, 115, 140, 167, 196?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4177\/319 - 1922\/29. Let r = -14559\/275 - g. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = -10*r - 185 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161172 and 188034?\nAnswer: 1128204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6184.3 * 63\nAnswer: -389610.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61098 is divided by 5554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -558845 divided by -111769\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0)**18*(x**(1\/7)\/x)\/x*x\/(x\/x**(-4\/7)) assuming x is positive.\nAnswer: x**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 5. Let o be p(-8). Let b be (14\/o)\/(2\/(-2440872)). Let m = -3695368 - b. What is m rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 + 1 - 35*z**2 + 1 - 2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*a**2 - 184*a + 70*a**2 - 7*a**2 - 35*a**2 wrt a?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5950\/136 - (-6)\/24. Solve 27*c + h - 179 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 96, 152, 208, 264?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-11 - -4) + -3. What is the third derivative of 4 - w**2 + 0*w**2 + 8*w**3 - a wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*l + 252*l + 1 = -5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/6 + 2\/4. Let g be (-10)\/c*48\/40. Let x be (5\/(-10))\/(2\/(-4)). Solve -4*b = g*u - 28, -14 = u - 4*b - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3914928 divided by -186\nAnswer: -21048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-4)*1)\/2. Solve -g + 2*g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 - 26. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -10.56?\nAnswer: -21.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/10 + 2)*1676\/2514?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in -1\/3, -2.2, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 18328 = -1184. Let s = r + -437. Suppose 5*c - 2*w = 83, 0*c + 5*w = 5*c - 95. What is the highest common factor of c and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -699, -1397, -2095, -2793, -3491?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + 48. Let z = 26 + b. Find h, given that -h**2 + h**z + 5*h**3 - 2*h**3 - 3*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 0, -3*v + 3*k = -0*k - 39. Calculate the greatest common divisor of 136 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.4217 litres to millilitres.\nAnswer: 81421.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = c - 21, -c = -6*c + 2*g + 128. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12045, -12044, -12043, -12042?\n\"Answer: x - 12046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -183000764*a*c**3*q - 103*a*c**2*q + 47835*a*c*q + 5*a wrt c.\nAnswer: -1098004584*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 5969184?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110376093 to seven dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m**2 + 7*m - 5. Let p(k) = -17*k**2 + 6*k - 4. Let o(y) = 5*p(y) - 4*s(y). Factor o(a).\nAnswer: -a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055 - 0.422.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5)\/r**(1\/12))\/(r**3*r**(2\/19))*((r\/r**(-2\/9)*r)**11)**(-35) assuming r is positive.\nAnswer: r**(-2935537\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -78?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 143*y**2 - 5067*y - 229. Let u be s(78). Let 0 - 12*x**2 + 2*x**3 - 9\/2*x**u + 27*x**4 + 0*x = 0. What is x?\nAnswer: -2\/3, 0, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 47. Let g be (-774)\/4*(-2)\/(-84). Let r = g - -34\/7. Which is the second smallest value? (a) r (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyyxixixiyiyxxx. Give prob of picking 1 i, 1 x, and 2 y.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 + -0.07. Let o = 0.5 - t. Which is the closest to -0.1? (a) 5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 (base 6) in base 7?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 6*u = -240. Let z = 92 + u. Suppose 58 + z = 2*x. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -655 + 213. Let g = -239 - f. Calculate the smallest common multiple of g and 10.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, b: 1, t: 1, p: 1, f: 9}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from qqjfjqqlmq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -2bda73?\nAnswer: -2bda6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**28*(f*f*f**26)\/f*f*f)\/((f\/f**13)\/((f\/(f*((f*f**(19\/4)\/f)\/f)\/f))\/f)))**17 assuming f is positive.\nAnswer: f**(4437\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = 6*v. Let h be (v\/(-6))\/(3 + 35\/(-15)). Is -3\/83 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358 = 9*d - 38. Let q = d + -36. Suppose 241 + 39 = 5*h. Calculate the highest common divisor of q and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/9 (b) 5 (c) -2\/35 (d) 4 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i + 1789. Let a(o) = 2*o**2. Determine a(d(t)).\nAnswer: 200*t**2 - 71560*t + 6401042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2762 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1889, -8, 177?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:58 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**3 - 63*w**3 + 107*w**3.\nAnswer: 77*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h. Let v(n) = 11*n + 6. Let w(c) = 61*c + 39. Let x(p) = 123*p + 77. Let s(q) = 7*w(q) - 4*x(q). Let g(k) = 6*s(k) + 35*v(k). Give t(g(a)).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 39 and 40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 28*w - 156 = -23*w, 5*w = 5*c - 120 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/4)\/(2\/4). Suppose 5*a - 290 = -5*b, b - 3*a + 233 = h*b. Suppose -o = -3*d + 1, 0 = -5*o - 2*d + 4 + b. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a)\/a*a*a**7\/a*a*a*a**(-1\/11)\/(a**3\/a))**(-2\/7) assuming a is positive.\nAnswer: a**(-20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - -0.143\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40605296549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -9. Let g = n - -13. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229534 (base 11) to base 10.\nAnswer: 364005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001424 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54*-3\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t - 6. What is the remainder when 130 is divided by n(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f - -bb?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Let c(y) = y - 1. Let f(v) = v - 4. Give t*c(l) - f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 191775919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80962 * 0.4.\nAnswer: 32384.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - z - 690 = 0, 5*z + 325 = -4*d + 1075. Suppose -4*a = -a - 75. Calculate the greatest common divisor of d and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 3936140?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 68. Let j(y) = 92*y - 29. Is j(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (432*p - 432*p - 3084*p**4)*(-3 + 2 + 3)*(2 - 4 + 0).\nAnswer: 12336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 29*i**3 + 608*i**2 - 35*i - 258. Determine b(-21).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (100\/250)\/(2\/10) + (86 - -8). Calculate the highest common divisor of 14176 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2381990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -5, -98, 51\/5, 1, 0.4?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from srppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m*m*m\/(((m*m**(-2))\/m)\/m))**(-1\/7)\/((m*m**1\/m)**(-7\/3)\/(m\/((m\/((m**(-1)\/m)\/m))\/m))**(2\/67)) assuming m is positive.\nAnswer: m**(1591\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8 + -12 + 1261\/104.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4500, 12940, 27006, 46698, 72016, 102960, 139530?\nAnswer: 181726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5686.367 nanometers to centimeters.\nAnswer: 0.0005686367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**3 + 2*p**2 + 0*p**2 - 4*p**2 + (-14*p**2 - 37*p**2 - 58*p**2)*(4*p - 4*p + p) + 2*p**3 + 2*p**3 - 6*p**3.\nAnswer: -117*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.14 (b) 14 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -47*p**2 - 3*p. Let n be u(3). What is the common denominator of -79\/2 and 2\/9 - 2766\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28312 + -19075. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b**2 - 92*b + 264. Calculate q(3).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + -8 + (4 - 1). Let d(m) = -5 - 2*m + 0 + m. Let j be d(s). Solve 3*o - 4 = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 36*p - 1\/10*p**5 - 11 + 1\/15*p**6 + 4\/3*p**3 + 0*p**2 - 2\/3*p**4. Let n(l) be the first derivative of m(l). Factor n(x).\nAnswer: 2*x*(x - 2)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 599*j + 28. Let y be a(6). Suppose 15*k - y - 5798 = 0. List the prime factors of k.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44*(-1)\/(-60))\/(13\/78)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2759, 2, 4, 1, -4, -3 in increasing order.\nAnswer: -2759, -4, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6 (b) 2\/3 (c) 343 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 88*z**2 - 2*z + 6. Let r be v(-12). Suppose -5*n = -n - s - 25408, -s - r = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/630 and 109\/560?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 644.\nAnswer: 3\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 9. Let v be f(-3). Suppose v = 3*m - z + 6*z - 38, -2*m = 4*z - 26. What is the derivative of -14 - m + 11*b**2 + 39 - 20 wrt b?\nAnswer: 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g + 2*s, 0*g + 5*g = -2*s - 11. Let p = 43.09 - 43.19. Let r = -15 - -11. What is the closest to 4 in p, g, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52161685 - 23061685. What is l rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 9*u. Let b = 1 - -1. Let y(t) = -b*t**2 + 5*t + 25 - 25. Determine -5*n(a) - 9*y(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21800\/933 - -7119932\/306335. Let j = q + -2\/197. Which is greater: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -827876*s - 562 + 374*s**3 + 827876*s wrt s?\nAnswer: 1122*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 423, 0.3, -10, 0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*f = 69, 0 = -4*p + 5*f + 35 + 26. Let i = 22 - p. Suppose i*q + 3 = 5*a - 2, 0 = a + 2*q - 14. Solve 2*d - 3 = -a*b + 3, 0 = -4*d - 5*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 + 2*n**3 - 2*n**2 - 7*n - 1. What is the remainder when p(-5) is divided by -5 - (-1148)\/63 - (-4)\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - r - 3, 4*o = r + 15. Suppose 2*u = -0*u - 8. Sort u, -5, o in increasing order.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 2*z + 20*d, d - 162 - 128 + 321 = -3*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283222.\nAnswer: 2, 23, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 18 = 0. Let j be ((-1)\/w)\/((-14)\/12). Which is the third biggest value? (a) j (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:59 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173645 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.3543124 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 4*k = -21. Suppose -4*a = -3 - 1. Sort k, a, -3, 4.\nAnswer: -3, k, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 28)\/(6\/(-12))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 517241453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 21*y - 18. Let x be w(22). Factor 163*f - 2*f**x - 163*f - 3*f**4 - 15*f**3.\nAnswer: -5*f**3*(f + 3)","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: Suppose -1\/4*x**5 + 969\/4*x**3 - 485\/4*x**2 - 483\/4*x**4 + 0*x + 0 = 0. What is x?\nAnswer: -485, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k*((k*k\/(k*k\/k**(-3\/5))*k)\/k)\/k)\/k*k*k*k)\/k)\/k)\/k*k)\/(k*k**6\/k))\/((k*k**(4\/3))\/k**(9\/2)) assuming k is positive.\nAnswer: k**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let l(k) = k. Suppose 3*y - 12 = 5*a, 7*a - 9*a + 4 = y. Let b(n) = y*j(n) - 10*l(n). Let i(g) = -169*g**2. What is b(i(s))?\nAnswer: 338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*d - 492 - 1047 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -4677.4844913.\nAnswer: -4677.0844913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - z + 1. What is x(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286.1 - 263. Let r = 23.099799 - p. What is r rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011110100110101101 (base 2) to base 8\nAnswer: -2364655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzzg when four letters picked without replacement from zozoggooozgz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 1. Let v(f) = -5*f - 50. Give -2*o(y) - v(y).\nAnswer: y + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82628705 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 15581469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/60 - c**3 + c**2. Let t(v) = -3 - 4 + 5*v - 4*v. Let d be t(7). Determine j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-48)\/(-11) - (-36)\/110.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -5*x**8\/504 - 2*x**7\/315 + 4*x**2. Factor s(y).\nAnswer: -2*y**4*(5*y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9018842 + 468.2.\nAnswer: 9019310.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/7)*g)\/(g\/(g*g**(-11\/2))))\/(g**(1\/4)\/g**(-27)) assuming g is positive.\nAnswer: g**(-901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334 and 7181?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 21*u + 3885 = 0. Calculate the greatest common factor of u and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/25752)\/((-615)\/164). Is -1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w**2 - 90*w + 8. Give z(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/24 - 2*i**3\/3 - 14*i**2. Let k be g(-6). Suppose 2*a + 4*w - 2107 = 971, -4601 = -3*a - k*w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 118 = -49. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72 - -2e7?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*m - g, -3*g = -25*m + 24*m - 2. Let s be (1\/(-5))\/((-56)\/35). Which is the nearest to 4? (a) -2\/15 (b) m (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - 77\/5. Let i be 8\/z - 0\/2. Let k be ((-82)\/(-6) + -13)*2\/4. Which is the closest to -2\/7? (a) k (b) -0.02 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 33075\nAnswer: 3307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4023712 and 11928.\nAnswer: 12071136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -254597 divided by -1?\nAnswer: 254597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(2\/115)\/(((a*a\/(a*a**(1\/4)))\/a)\/a**(-3\/5)) assuming a is positive.\nAnswer: a**(-177\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-7)*a*a*a\/(a*(a**(-2)*a*a)\/a))**(-33\/7) assuming a is positive.\nAnswer: a**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9120682 (base 10) to base 3.\nAnswer: -122011101020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011000 (base 3) in base 7?\nAnswer: -30366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 322. Let b(x) = -3*x**2. What is z(b(y))?\nAnswer: -21*y**2 - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**5\/20 - w**4\/4 + w**3\/2 + 2*w**2 + 13*w. Let z = -2 - -3. Let d be (1 - z)\/3 - 4. Give o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = -k + 122*v, -508*k + 2*v = -511*k + v + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -c + 9 + 1, -c = 4*o + 5. Calculate the remainder when (3 - 5)*81\/(-6) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00443222 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7*2)\/(9\/(-42))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 7*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/2)*i*i\/i**(-13)*(i*i*i*(i**(-13)\/i)\/i*i)\/i*i**11 assuming i is positive.\nAnswer: i**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1\/9)\/f)*f*f)\/((f\/f**(1\/2)*f)\/f)*(f**(2\/3))**(-9))**(11\/2) assuming f is positive.\nAnswer: f**(-473\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -438 + 991. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by (-98)\/(2 + -2 + -2).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731663857.\nAnswer: 731663857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:36 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 4530?\nAnswer: -4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 8*z**3\/3 - 4*z**2 - 5*z + 13. Let q(y) = -3*y**2 + 3*y + 2. Let s(r) = -4*l(r) - 11*q(r). Determine s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f. Let z(k) = 53*k**3 - 3*k - 43. Let v(l) = -3*d(l) + z(l). Find the first derivative of v(a) wrt a.\nAnswer: 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -676 - -688. What is the greatest common factor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 9 - 38)*(-g - 4*g + g)*(2 - 1 - 6).\nAnswer: -1520*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 - (-12 - 1296\/(-90))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) 181 (c) -1\/2 (d) 9 (e) 2 (f) 1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 3797802.\nAnswer: 3797802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-4) + (-2)\/(-8). Suppose -q*n + n = 4. Let i be n - (-12)\/(-2 - -5). Solve -w + 5 + 6 = 2*u, -i*u = 5*w - 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) -5 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 - -517\/4. Let l = -3 + 3.07. Let v = 0.47 - l. Which is the biggest value? (a) s (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29079)\/(-486) - 60)*-126\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17801?\nAnswer: -2\/17801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**3 - 2*d**3 + 3*d**4)*(-32 - 233 + 92) - 2*d**4 + 3*d**3 - 3*d**3 in the form x*d + g + r*d**4 + p*d**3 + b*d**2 and give r.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2720981\/80 + -34013. Find the common denominator of 7\/(-10)*(-85)\/72 and h.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3464 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z + 2*z)*(-508 + 15*z**2 + 508).\nAnswer: 75*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - y)*(1 + 2 - 1)*((-1 - y + 1)*(-3*y + 0*y + 4*y) - 1 - 3*y**2 + 1) + 3*y - 3*y**3 - 3*y.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -99, -293, -615, -1095, -1763, -2649?\n\"Answer: -5*r**3 - 19*r**2 - 4*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*h = -0*h + 180, 2*o - 5*h = 200. Let k be 0*(-3 + 4) + (-2662)\/28. Let c = k + o. What is the common denominator of -15\/2 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 121?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 88*l**3 + 367*l**2\/2 - 30*l - 1. Is v(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-126373)\/(-12) - (-9)\/(-17 - 91)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5790 from -229.\nAnswer: -6019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -5\/6 (b) 3 (c) -2\/5 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/50 and 127\/11020?\nAnswer: 55100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14159 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 + -1?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**3 - 10*g**2 + 3. Let m(u) = 7*u**3 + 18*u**2 - 7. Let w be (-4 + 12\/8)*2. Let n(y) = w*x(y) - 3*m(y). Give n(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162168 and 12528.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 - 0.24. Let b = 0.1 - 0.2. Suppose 0 = -5*x - 5 - 5. What is the nearest to b in d, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17326\/101 or -172?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100040554 (base 6) to base 2.\nAnswer: -110011011011000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.3367735 and -0.03.\nAnswer: -4.3667735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 116107?\nAnswer: -116107.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 2. Let n(f) = -f**2 + f. Let u(y) = -2*n(y) - s(y). Let z be u(-2). Solve v = 2*i - 7, -i = -0*i - 5*v - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(5 + 2*g**2 - 5) + 4866 - 3740*g**2 - 4866.\nAnswer: -3742*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c = -5*s + 2588, 2062 = 4*s - 5*c. Suppose 0 = -152*i + 150*i + s. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 705*((-44)\/(-10) - 4). Let t = g - 172. Suppose 2 = m, -4 + t = 4*h - 3*m. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h - 32*h + 2*h**2 + 25*h - 63*h.\nAnswer: 2*h**2 - 129*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1317 or 30087?\nAnswer: -1\/1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 160 - 0?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3838506 and 151\/4386864.\nAnswer: 30708048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 = -5*q - 1906. Let x = 508 + q. Solve -b = -x*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -64, -81, -94?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19195)\/(-25) - (-1)\/5. Let i = 3713 - p. Suppose 5*s - i = 2*r, -5*s + 2*r = -3*r - 2960. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 - 5*u**3 - 6*u - 12*u + 14*u + u**4 + 1 as g*u**4 + b*u**3 + o + l*u**2 + a*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 36*m - 299. Let v be x(13). Determine i so that -3\/4*i**2 + v*i**3 + 0 - 3\/8*i**5 + 3\/4*i**4 + 3\/8*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**2 + m**3 + 10*m**2 + 20 - 9*m**2 - 5*m. What are the prime factors of w(-10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -0*j. Let o = 2146 + -17085\/8. Find the common denominator of 484\/(-24) - (10\/j - 3) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -1 (b) -0.75 (c) -2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 6*y + 12. Suppose 0 = -4*w - u + 43, -9*u + 15 = -4*u. Let i be (10\/w)\/((-1)\/(-4)). Let v be f(i). Solve -v = -4*h + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 18. Is 11\/5 + -2 - (-344)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.26 (b) -4\/11 (c) -14 (d) 3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 4:03 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8 - 3913772927.\nAnswer: -3913772912.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k*k**(-3\/7))*k)))\/k**(-33) assuming k is positive.\nAnswer: k**(241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3074151060 + -4.\nAnswer: 3074151056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-60)*15\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.99 and 524.3.\nAnswer: 526.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36622823?\nAnswer: 19, 47, 41011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 25*h**2 + 45*h - 21. Let s be y(-23). Suppose 0 = 4*r + 2*u - 8 - 70, -2*r + 36 = -s*u. Suppose -23*x + 1072 = -r*x. Does 36 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 6997469962 + 6997469962.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 2*t + 1. Let d be s(4). Let i be d\/5 - 4\/(-5). Let q be i\/(-4) + 3\/12. Solve q*o + 12 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 48 + 25 - 73 - 7*u. Let a(z) = -78*z. Calculate a(w(b)).\nAnswer: 546*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -655 + 655 + 113*u**4 + (2*u**2 + u**2 - u**2)*(u**2 - 2*u**2 + 0*u**2).\nAnswer: 111*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47453 - 47452.972953. What is z rounded to 3 dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -l, -4*l - 3 - 12 = -3*n. Suppose -6*s + n*s = -5. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6421 is divided by 1252.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/15 + (0 - 8\/20). Put 0, 1\/8, l in decreasing order.\nAnswer: 1\/8, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + 8. Let f be u(-4). Which is greater: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/30 - 11*o**4\/24 + 2*o**3 + 3*o**2\/2 - 8*o - 2. Let p(b) be the second derivative of c(b). Determine p(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 8, q - 6*q = -c + 26. Let a be (-3 + c\/2)\/(-3). Which is bigger: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (-7 + 4) - (-1 - 12). Suppose 6*y - p*y = -15. Let z(b) = b. Let o(h) = -9*h + 3. Let s(j) = o(j) + 5*z(j). Determine s(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**4 - 6*j**3 - 2 + 9*j**4 + 11*j**3 - 8*j**3 wrt j.\nAnswer: 20*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 16*m**2 - 134*m - 13. Let u be g(-6). What is the closest to -6\/7 in 0.5, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2238731156?\nAnswer: 2, 17, 5153, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 10. Let l(m) = 6*m - 29. Let h(p) = -2*l(p) + 7*y(p). Let z be h(8). Solve 2*n - 2 = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*s - 5*g, -3*g + 5 = 117*s - 116*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 305818649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29219260 to the nearest one hundred thousand.\nAnswer: 29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 14\/11 (c) 5 (d) 0.08 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60 or 430\/7?\nAnswer: 430\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4\/5, 3196, 1\/4, -3.\nAnswer: -3, -4\/5, 1\/4, 2, 5, 3196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-13 + 29 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 161*o + 2 + 28 - 63*o + 168*o. Let j(a) = a. Let w(g) = -2*f(g) - 6*j(g). Let n be w(-20). What is n rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42792196*a**2 - 87349777 wrt a.\nAnswer: 85584392*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 1. Let h be s(1). Let i(c) be the second derivative of c**4\/12 + c**3\/2 + c**2\/2 - 2*c. Let g be i(-4). Solve g*q - 10 + 5 = h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 3:11 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 12. Let r be 24\/(-9) - q\/(-6). Suppose 48*o - 15*o = 23*o. What is the second smallest value in r, o, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107 + 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2111 + 2110. Put 6\/7, l, 1223, -5 in descending order.\nAnswer: 1223, 6\/7, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 6 - (0 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 276*p + 236. Let y be u(5). Suppose -y = 29*c - 45*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1818 + 960. Let n = f - -1813. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*a - 290, 8*a - 3*a = -3*j + 725. Let m be -1*6\/a + 0. Let o = m + -804\/1595. What is the third biggest value in o, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/9 and 67\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61aa (base 11) to base 8.\nAnswer: -20043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-6)*-3 + -2. Let g be (3 + -2)*2 + 1. What is the greatest common factor of g and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20014 (base 5) to base 8\nAnswer: -2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 0 + 0 - 4*d to the form x + n*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22.46424 and -0.1?\nAnswer: 22.56424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001328053 to seven decimal places.\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.09 and 633644099929.\nAnswer: 633644099927.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1794 - -3093. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + (2 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. What is the second smallest value in i, -0.08, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/624930 and -191\/287490.\nAnswer: 161856870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29102 = -6*q - 581102. What is q rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 4 + -6 + 63\/3. Suppose 98 = -19*b + k*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t - 6. Give j(4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let g(o) = 0 - 3 + m - o. Let z be g(1). Is z greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/20 - j**4\/8 - 53*j**3\/6 - 5*j**2 - j. What is the derivative of a(r) wrt r?\nAnswer: -6*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/8 + 13*y**4\/8 + 55*y**3\/8 + 15*y**2\/8 - 13*y\/2 - 7\/2 = 0. Calculate y.\nAnswer: -2, -1, -2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 264370 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10801 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5852670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -42 - (3 - 3) - 4. Let i be -2 - (t\/8 + 4). Which is the closest to 0.2? (a) 0.4 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 2.9. Put 5, q, -2\/5, -9 in descending order.\nAnswer: 5, q, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = -20. Let a = -14 + b. Let l be 6\/2 + (-1 - a). What is the greatest common factor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3\/52, -1215, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3420\/(-54))\/19*(-324)\/(-45)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26.8? (a) -4\/3 (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d - 4 - 34*d + 4. Let f be t(-2). Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j + 126. Let m be p(-12). Suppose h = n + 17, -5*n - 3 = -h + m. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + r + 0*r)*(1 + 0 - 2) + r - 2*r + 0*r as t*r + v and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.771 + -55.197708?\nAnswer: -54.426708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**3 - r**3 - 3*r + 4*r**3.\nAnswer: 3*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.09 (c) 1\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let d(o) be the first derivative of 1\/12*o**4 + 2 - o**2 + 0*o**3 + 0*o. Let x(c) be the second derivative of d(c). Calculate z(x(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(19)) - (sqrt(684) + -1 - sqrt(684))**2.\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q - 2. Let z(r) = -1. Let b(m) = m - 2. Let l(u) = 4*b(u) - 5*z(u). Calculate 3*c(f) - 2*l(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-7)*196\/84. Solve -5 = -3*g - 5*j, -g + a*j = g - 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*3\/((-1323)\/84).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.98 + -4.55. Let z = 2.3436 - f. What is z rounded to three decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -11, -44, -99, -182, -299, -456?\n\"Answer: -p**3 - 2*p**2 - 4*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -30*w + 1. Suppose -16 = 7*r + 5. What are the prime factors of t(r)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12252*3.\nAnswer: 36756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.872 - 0.88. Let u = -2.992 + g. Which is the second biggest value? (a) -5 (b) u (c) 0.1 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*b = -25, 3*m - b + 10 = b. Suppose m - 8 = -2*f. Let s(c) = -c**2 + 9*c - 11. Let n be s(7). Sort f, n, 5 in descending order.\nAnswer: 5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.92225g in nanograms?\nAnswer: 12922250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 358 = -1258. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 + 2*i + 4. Let z(r) = -r**3 + 3*r**2 + 7*r - 6. Let b be z(4). Give p(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:34 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5657*t - 166013 - 195634 = 2449*t - 37407 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -666.\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 25*a = 4*k + 16, 2*a + 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 75.99999758. What is i rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.49 + 46.89. Let j = 8 + -4. Which is the second smallest value? (a) z (b) -1 (c) j (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 18*f - 20*f - 55.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 + -3 + -2 + -12 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 5 = 4*l - 3*r, 5*r + 11 = l. Let g(y) = -y**3 + 6*y**2 - y + 6. Let c be g(l). Suppose c = -2*k + 4 + 10. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 13*u - 13*u - 2*u**2 - 3 + 3 + (0*u + u - 2*u)*(1 + 2*u - 1) - 3*u**2 + 4*u**2 - 3*u**2 - 3*u**2 + 7*u**2 - 3*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 59?\nAnswer: 8\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.5 (c) -18 (d) 110\/571 (e) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 10 + 10 - 2*m**3 + 0*m**2 to the form o*m**2 + r*m**3 + u + x*m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3692 - 3692. Is l at most as big as -1\/1886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*z - 15 = 0, 3*z - 70 = -5*m - 67 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 - -37?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -10, 30 in ascending order.\nAnswer: -10, 1\/5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 15*q + 136. Determine z(-35).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142713 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: Let f = 9 + -4. Suppose -f*z + 380 = -0*g - g, -3*g + 210 = 3*z. What is the highest common factor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b + 2*a + 9, a = b - 6. Let k be 4\/(-8)*(b - -205). Let z = k - -170. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260919045098 - -5.\nAnswer: 1260919045103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.4, 0.8, -41 in descending order.\nAnswer: 0.8, -0.4, -2\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 46 = 9*z. Let w be (1 - 2 - z) + -2. Suppose -s = -w - 2. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50167607891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 - 14*c**2 + c + 1. Let z be k(3). Solve 0 = 2*p - 23 + z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -3550?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2075 - -2343. Let o = 50 + -35. Calculate the remainder when a is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 0*p, -3*h - 4*p + 588 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*c + 263160 - 7175 = 0, 2*c - 191994 = 3*f. Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2662*t**3 - 2376*t + 864 = 0.\nAnswer: -12\/11, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = p. Let z(t) = -t**2 - 4*t - 5. Let o be z(p). Let r(g) = g**3 + 5*g**2 - g - 4. Give r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 0, 7, 5, 1\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18378 - -1020?\nAnswer: -17358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26\/7, 5\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aaa22 (base 15) to base 12.\nAnswer: -2219a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1534 in -0.5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - k - 1. Let d(q) be the first derivative of 7*q**3\/3 + 2*q**2 + 5*q - 94. Calculate -d(b) - 4*s(b).\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(3 - 2 - 2). Let w be (-52)\/s + 6\/(-15). Let i be (-111)\/(-15) + (-4)\/w. Which is smaller: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -16*j**5 - 196*j**4 + 624*j**3 - 536*j**2 + 64*j + 60 = 0?\nAnswer: -15, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89476 is divided by 89414.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 11 - 18 + 2 - 4 + 0 + (-2 + 1 - 1)*(1 - 2 - 1))*(10 - 10 - k**3) to c*k + t + q*k**2 + y*k**3 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 35*h + 6. Let t(y) = -16*y - 3. Give -9*t(u) - 4*w(u).\nAnswer: 4*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/3*10\/(-220)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = q + 68, -35 = -113*q + 108*q. Calculate the remainder when 2092 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 3*p - 64. Let z be k(9). Let r(l) = l**2 + 9*l - 12. Let i be r(z). Sort 1, 4, i in descending order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d**5 - 39*d**4 - 407*d**3 - 141*d**2 + 32*d + 12 = 0. What is d?\nAnswer: -2, -1\/3, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/48)\/(1410\/280 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74089631633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 - g. Let j be (6\/9*3)\/2. Does 2 divide b(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**5 - y**4 + y**2 + y + 2. Let n(c) = 6*c**5 + 10*c**4 + 6*c**3 - 9*c**2 - 13*c - 10. Let j(b) = 10*i(b) + 2*n(b). Factor j(q).\nAnswer: 2*q*(q - 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-56))\/((-9)\/(-21)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 20454 - 231214. Suppose n = 13*c - 78422. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-3) + (-3)\/9. Let a = -64 + 94. Let k = a + r. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(16\/3)*i*i**(-7\/4))**13 assuming i is positive.\nAnswer: i**(715\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 + -168. What is the highest common divisor of n and 561?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -227\/4. Let t = -0.034 - -5.034. Which is the third smallest value? (a) -1 (b) 0.1 (c) t (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 5*b + 1965, 0 = 2*p - b - 791. Let i = -259 + p. Calculate the remainder when i is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 3\/2, 0.5, 0.25, 312.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 10*u + 17. Let d be f(8). Let t = 14 - 14. Put d, t, -5 in descending order.\nAnswer: d, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 - 11*f**2 - 7*f - 11. Let n(w) = 3*w**3 + 6*w**2 + 4*w + 6. Let m(j) = -4*i(j) - 7*n(j). Determine m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*(-61)\/20740*323.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/3674 smaller than 25\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*x - 304352 + 304352.\nAnswer: 515*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1\/2)\/z)**(-3\/13))**(-28))**(-22))**(2\/13) assuming z is positive.\nAnswer: z**(5544\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3029 (base 14) in base 15?\nAnswer: -26b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c - 3*c)*(6 - 6 + c)*(-2*c + 2*c**2 + 3*c - 1671 + 1655).\nAnswer: -2*c**4 - c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29aa3b - 2?\nAnswer: 29aa39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 11*u - 20. Let i be a(5). Let k(t) be the third derivative of -1\/180*t**5 + i*t - 5*t**2 + 0 + 1\/9*t**3 - 1\/72*t**4. Solve k(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -174 (b) 2 (c) -2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 398.55231101.\nAnswer: 398.65231101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - y - y - 12 = 0, -3*c - 5*y - 33 = 0. Let d be (1 - -1)*(-3)\/c. What is the units digit of -3 + 1 - (-15)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/12 and -51\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-6)\/(-9)*3. Let t = 10 + o. Let u be (t\/(-2))\/(6\/4). Sort -3, u, 1 in decreasing order.\nAnswer: 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 2*o**3 - 5*o**3 + o**2 - 2*o + 1 + 5*o.\nAnswer: -(o - 1)*(o + 1)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2543147*h**3 - 5086405*h**3 + 2543265*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 16*q. Suppose 5*k + 3*o + 56 = 257, q = -5*k + 5*o + 225. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1.5, 18?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1682272 (base 9) to base 2\nAnswer: 11100101011110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(3\/10)*k*k**(-1\/3)*k*(k*k**(-9))\/(k*k\/k**(-3)) assuming k is positive.\nAnswer: k**(-289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:38 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56751.\nAnswer: 3, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 - -124286 - -5 - 22 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133\/((-10614)\/290 + 38).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15254356 is divided by 814?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 2*w, -4*v - 13*w = -11*w - 26. Solve -3*p + 3*o = v*o + 2, 0 = -3*o + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12052*f*h**3*j**3 + 465*f*h**3*j - 31*f*h**2*j**3 + f*h*j**2 + 4*f*h*j - 14*h**3*j**2 + 3*h**2 wrt j.\nAnswer: -72312*f*h**3 - 186*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47\/4 of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 3\/8 (c) 2\/3 (d) 3\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(160\/72)*240\/936?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36.17 + 0.5\nAnswer: 36.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11213548 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71841280 by -7385.\nAnswer: -9728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 a factor of 521396459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -1.1. Let f = q + 3. Let t = 0.600066 - f. What is t rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.4, -0.3, 3\/5, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 771483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i + 0*i)*(235*i**4 + 234*i**4 - 492*i**4).\nAnswer: -92*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/6)\/((-4)\/24). Let s = 17 + t. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87690 to the power of 1\/2, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 35*s - 164. Give h(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -197. What is the nearest to -7 in 1\/4, b, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {m: 6, p: 1, z: 7, x: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/((-294)\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 13*q - 17. Let m be (3 - (5 - 3))*47. Suppose -2*f + m + 27 = 0. What is the remainder when f is divided by a(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - u + 1. Let p(r) = 7*r**3 + 6*r**2 - r + 2. What is 4*i(b) - p(b)?\nAnswer: -3*b**3 - 2*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 37 = -51. Let p(k) = k**3 - 22*k**2 + 6*k + 11. What is the tens digit of p(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-42)\/12 - (-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 10*j = 91 - 166, -3*w - 47 = 2*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.54 + -2.54. Let b = n + -52.7. Is b greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 4*t + 16 = -12*n - 13*n, -32*n + t - 130 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 997 + -963. Let q(s) = 2*s**2 - 2*s + 8. Suppose -2*o - 14 = 5*l - 46, 28 = 4*l + 4*o. Let b be q(l). Calculate the highest common divisor of b and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 353049, -1\/2, 0.1, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 4026*w**2 - 4024*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a. Let v be j(-5). Let s = -172 - -174. Solve -s*u + v = -6*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 329 and 2960\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673266.092 - 0.5.\nAnswer: 673265.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-129)\/(-5))*(115 - 120). Calculate the greatest common factor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -150*z**3 - 6*z**2 - 111*z - 432. Does 4 divide i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42343 and -332.\nAnswer: 14057876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = -5*x, 369 - 362 = -2*k - 3*x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 42*s**2 + 298*s - 187. Determine h(26).\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4151 (base 6) to base 14\nAnswer: 4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 18. Let m be -1 + 1 + 2 + (f - 5). Suppose m*a + 31 = 317. List the prime factors of a.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118193 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/120)\/(1\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 276130 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*q + 4, 5*u - 169*q + 172*q - 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895*d - 904*d = -99. What is the smallest common multiple of 227 and d?\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -26*p. Put p, 5, -3, 3 in increasing order.\nAnswer: -3, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.1, 3, 2669?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 179, -2\/11, -0.05, -0.3 in ascending order.\nAnswer: -0.3, -0.2, -2\/11, -0.05, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 771 and 39.\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*l + 51*l - 61*l)*(-2 + 37 + 10)*(2*l + l - 4*l).\nAnswer: -3915*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*j - 157 + 157 + 249*j as a + r*j and give r.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -93426.551 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a factor of 316327700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -m - 19, 5*m + 0*m + 3*n - 15 = 0. Suppose -2*q - q = -m. What is the units digit of (3 - -11 - -1) + q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -23 - 0\/2. Suppose -5*m - 6 = -a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 5*b - 10 - 4, 4*i = -4*b + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 243*n**2 - 16071*n + 2213. Calculate o(66).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m**2 + 10*m - 79. Let i(r) = 12*r**2 + 7*r - 53. Calculate 5*g(c) - 7*i(c).\nAnswer: c**2 + c - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*h - 9 = 0, 609*y = 611*y - h + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 4, m: 7}. Give prob of sequence rraa.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 1 - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4729*t - 6285*t + 594*t - 135460 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let f(c) = -2*c**3 - 18*c**2. Suppose 4*u - 216 + 72 = 0. Give u*l(w) - 2*f(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - 6*t + 4. Let q be c(6). Solve -2*i - i + 11 = q*y, -y + 5*i = 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let z(i) = -3*i**2 + 10*i**2 + 6*i**2 - 2*i + 1. What are the prime factors of z(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/((-2744)\/1722) - -29 - (-3)\/7?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372922 and 69575.\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -617a - 0?\nAnswer: -617a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 453a21 (base 11) to base 3\nAnswer: 1100201021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 249395, 498911, 748549, 998309?\n\"Answer: 61*z**2 + 249333*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 16*a + 44. Let i be v(13). Let y be 378\/5 + (-4)\/(-10). Suppose -g + i*g = y. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6354*x + 93 - 93 - 24268*x.\nAnswer: -30622*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (44 - 16 - 8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -624 (b) 3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 228\/152*8\/3. Solve r*s + j = s + 7, -4*s - j = -9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1464\/(-7808))\/((-9)\/(-12))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -478\/3. Let i be (327\/(-84) + 4)\/(12\/14). What is the nearest to 0 in i, -26, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1465567 (base 9) to base 10\nAnswer: 811114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:49 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -1\/2, 4, -55, 0.34, -2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -5*i + 4*l + 12, -10326*i + 10328*i - 4*l = 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*l = 75, -5*v + 3*l = -8*v + 63. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {i: 1, v: 8, o: 5, j: 1, x: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3549 - -3553. Let r(v) = 2*v - 7. Let c be r(5). Suppose w*g = -c*g + 595. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -127.\nAnswer: -7\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose -q = -2, 0 = 3*g + g - 5*q + 2. Suppose 4*b = n*t - 30, 5*t - 102 = g*b - b. Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1))*v\/((v\/(v\/v**(-2\/25)))\/v))\/((v*(v*v\/((v**(-1\/13)*v)\/v))\/v)\/v**1) assuming v is positive.\nAnswer: v**(1\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15\/4, 5, -1, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/10)\/((-6)\/30). Suppose 0 = y*u - 7*u - 284. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27980 - 15*w + 19*w - 15*w + 27978 - 83947 + 27989.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + f + 13, f - 47 = -l - 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 70*m + 1513. Let x be t(-21). Solve x = 7*s + 71 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 + 6*l**2 + (-4*l + 3*l - l + (4 - 4 + 1)*(l + 2*l - 2*l) + (1 - 2 - 2)*(-l + 3*l + 3*l))*(-39*l - 37*l - 23*l).\nAnswer: 1586*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**5 - 91*f**4 - f**3 - 812*f**2 wrt f?\nAnswer: -180*f**2 - 2184*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32541*w**3 - 65103*w**3 + 1 + 32554*w**3.\nAnswer: -8*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.3, 17, 5\/2, 0.03866 in ascending order.\nAnswer: 0.03866, 5\/2, 6.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 39 = -2*m, -m = 4*c - 3*m - 52. Calculate the highest common divisor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3308 divided by -6?\nAnswer: 1654\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3604 - -54062\/15. What is the closest to 0.1 in 4, -3\/5, p, 49\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 3566918?\nAnswer: 25\/3566918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 174 - 78 = 0. Let v = -144 - -212. Suppose y*i - v = 3*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -36. Let h = -31 + d. What is the tens digit of (-2)\/(-1)*-1 - h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*t + 3*p, -t + 1 = -0*t + 5*p. Suppose 0 = t*y - 15*y. Solve -2\/5*s**3 + y*s + 6\/5*s**2 - 8\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 0.02023.\nAnswer: 1.02023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, and 2 i when four letters picked without replacement from ieznereiiaeenn.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2769 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**3 - 44*l + 44*l - 23 + 80.\nAnswer: 14*l**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**3 - 7*j**3 + 6*j**3.\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*i + 20 - 9, 3*o = -i + 15. What is the lowest common multiple of o and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c. Give v(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 1, e: 2, b: 1, a: 1, u: 2}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29205 and 12980?\nAnswer: 116820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574852*g**2 + 574852*g**2 + 19*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -0.05287009.\nAnswer: -0.65287009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -383.25 - -0.43\nAnswer: -382.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -114, -395, -676, -957, -1238?\n\"Answer: -281*t + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 0.01, 6, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 9*q**2 - 3*q - 13. Let v be j(9). Let a = -25 - v. Let r = a - 4. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/50 and 11\/15792630.\nAnswer: 78963150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 12.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v + 6 - 3 + 0*v**2. Let o(c) = -c**2 - c. Let i = -13 + 12. Let j(a) = i*r(a) - 3*o(a). Differentiate j(s) wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 + 3*t**2 - 5*t + 5. Let v(d) = 9*d**3 + 13*d**2 - 21*d + 21. Calculate -26*k(s) + 6*v(s).\nAnswer: 2*s**3 + 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1727 + 1796. Solve -18*i + w = -21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q = 3. What are the prime factors of (1 - q)*(-15)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4\/z**(-2\/9)*z**(-8)*z*z**(1\/7) assuming z is positive.\nAnswer: z**(-166\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1033 - 1037. Let k(p) = -2*p**3 + p**2 + p. Let h(n) = 2*n**3 - n**2. Determine i*k(u) - 3*h(u).\nAnswer: 2*u**3 - u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4044\/229 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319.\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21896, -22293, -22690?\n\"Answer: -397*h - 21499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 106 - 11563*w + 131 to the form t + y*w and give y.\nAnswer: -11563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 177098231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 plus -1.695?\nAnswer: 25.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1800))\/sqrt(3))\/(-6*sqrt(3)*-2 - sqrt(48)*1) + 2 + 0.\nAnswer: 5*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/9 + 6644*q**4\/9 - 6810026*q**3\/9 + 220884200*q**2 + 1831249896*q - 4539995040 = 0. What is q?\nAnswer: -10, 2, 516, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 + 207 - -1*(-10)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 11, 24.6, 3\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(4\/18 - (-140)\/(-225))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 169 from 13.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 - 11 = 0. Suppose -y*g = -g - 12. Is 4 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*k - 28 + 433. Solve -34*g - k*m = -33*g - 7, g = 3*m + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -18 + (9 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1841 = -7*z - 0*z. Let h = 287 - z. What is the lowest common multiple of h and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 6:02 AM?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -206.3 (c) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81301706 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125484 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*m**6 - 2*m**5 + 2*m**2 - 9*m wrt m?\nAnswer: -6240*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40758777 + -14.026753.\nAnswer: -40758791.026753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -1.99, 2\/11, -0.9, -5, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.17 + 1.83. Let k = -80 + j. What is the biggest value in 0.1, -4, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**2 - 466*n - 3. Let j(w) = -4*w**2 - 466*w - 2. Let v(k) = 2*g(k) - 3*j(k). Suppose v(x) = 0. What is x?\nAnswer: 0, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/270 and -35\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3\/7, -16, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 99*v**2 - 51*v + 87. Calculate the remainder when 1504 is divided by w(-50).\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748762 is divided by 458.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p**2 + 4*p**2 - 6*p**2)*(0*p**2 + 2*p**2 - 8*p**2) to d*p**3 + t*p**4 + z*p + j*p**2 + s and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763037629?\nAnswer: 763037629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/4 + g. Let l(f) = -11*f. Let u(c) = 17*c. Let y(r) = 8*l(r) + 5*u(r). What is y(o(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 414789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 636 - 623. What is the remainder when 44 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 + r + 4. Let s be h(0). Suppose -2*b = -v + 7, v - s*b = 6*v - 21. Factor 2\/3*p**3 - 2\/3*p**2 - 1\/3 + p**4 + 1\/3*p**v - p.\nAnswer: (p - 1)*(p + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 4*x + 5. Let j(o) = 16*o**2 + 21*o - 26. Let v = 1045 - 1034. Calculate v*a(k) + 2*j(k).\nAnswer: -k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c**2 - c**2 + 2*c**2)*(-4 + 5 - 8790*c + 8334*c) in the form n*c + t*c**3 + g*c**2 + p and give t.\nAnswer: 2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558922392?\nAnswer: 2, 3, 7, 19, 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 160\/(-3) + (-26)\/(-6) + -4. Let h = b + 61. Suppose 3*f - 217 = -1. Calculate the highest common factor of f and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75946\/(-3175) - ((-19)\/75 - 1\/(-3))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 35*g**2 + 120*g - 195. Let n(r) = 2*r**2 + 6*r + 1. Let x be n(-4). Let b(s) = 8*s - 1 + 5*s**2 + x*s - 27. Let z(d) = 20*b(d) - 3*l(d). Factor z(c).\nAnswer: -5*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/12 - h. Let u(o) be the first derivative of 4 + 5\/2*o**2 + 0*o. Calculate y(u(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2*r + 9 = 7*l, -l + 2*r - 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3785400 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2. Let u(n) = 26509*n**2 + 4328*n - 2164. Let w(g) = -12*g**2 - 2*g + 1. Let f(y) = -u(y) - 2164*w(y). Give i(f(z)).\nAnswer: -1170724*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 + 6*f - 8. Let w be k(-7). Let y be (-810 - w)*(-1 + 2). Let o = y - -1530. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/28)\/((-5)\/(-35)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11333375 a multiple of 1636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 0.4, -495 in descending order.\nAnswer: 0.4, 0.1, -1, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -337*(-2)\/(-4)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 1:58 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93645 and 6105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-412)\/(-9) - 6\/(-27)) + -1. Let u(w) = 3*w - 45 + w + s. Let f(b) = 10*b. What is u(f(c))?\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -125 - 423 + 548 + 30*k. Let i(m) = m - 4*m + 4*m + 4*m. Give s(i(d)).\nAnswer: 150*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2*(4\/8 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 262?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 25854 - 30666 = 0. Solve x*b - 6 = 403*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(28\/(-36)) - 4. Solve 0 = -s*z + 5*k + 5, 3*z + 29 = -0*z - 5*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1980 and 5\/363?\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76162351 to the nearest integer?\nAnswer: 8727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00511690278 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86874, -173747, -260622, -347499, -434378?\nAnswer: -521259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3490499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.066104 and 4.29.\nAnswer: 4.356104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 952?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000907 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:53 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 5440*f**2.\nAnswer: -2*f**2*(f - 2720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/4 (b) -2\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1116 and -151\/108.\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(0 + sqrt(539)))**2.\nAnswer: 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1438 + -1398. What is the nearest to 1 in o, -2\/5, 2\/5, -1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-4\/11)\/w)\/w**(-11)*(w*w**(-1\/7)*w)\/w*(w\/(w**20*w))\/w*w)**(-18\/5) assuming w is positive.\nAnswer: w**(10404\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62426570 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.48 - 0.6. Let v = -0.98 + k. Let o be 1 - (0 - (-5)\/8). Put -3, v, o in decreasing order.\nAnswer: o, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w - 6*w + 3*w. Let s(v) = -7*v + 1. Calculate -5*b(x) + 2*s(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 37. Let b be (-29 + 4 - 0)\/j. Is -8 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/15 + 5\/15. Let h = l - -14\/15. What is the smallest value in h, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*i*n**2 - 9*i*n + 33*i - 111747*n**2 wrt i.\nAnswer: -118*n**2 - 9*n + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - 24. Let j = -22 - g. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 + 17*o - 3. Let w(c) = -34*c**2 + c + c + 35*c**2. Let a(k) = r(k) - 5*w(k). What is a(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r + 0*r)*(-3*r**2 - 5 + 5)*(-715*r + 1399*r - 690*r - 273).\nAnswer: -36*r**5 - 1638*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 1\/45*z**5 + 272\/3*z**3 + 3 - 288*z**2 - 12*z + 71\/27*z**4. Let a(y) = 0. Calculate y.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 0*w)*(77 - 10*w + 66 + 61 - 204).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 9 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/45)\/(3\/(-90)). Suppose 0 = -4*i + 2*a, 0 = i + 4*a - 30 + t. Solve -4*u - 29 = -2*l - 3*l, 3*l - 17 = i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9604384717+19\nAnswer: 9604384736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 12*i + 13. Let a = -618 + 604. Give f(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 9:09 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 76*m + 136.\nAnswer: 4*(m - 17)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 11424?\nAnswer: 11445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 16*k**2 + 7*k + 5. Is 9 a factor of l(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 7*h + 41 - h - h + h + (0*h + h + h)*(-3 + 1 + 3) + 0*h + 4*h - 3*h - 8 - h + 8 in the form s + a*h and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11232 + 11275. What is the biggest value in g, -1, -1\/45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 7 + (-3 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 136395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121 - 2?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 446963009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 403 - 392. Let w(f) = 0*f + 2*f - f + k*f + 0*f. Let j(g) = 6*g**2. Calculate j(w(p)).\nAnswer: 864*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -43, -158, -323?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3439*c. Let m(y) = 10312*y + 1. Determine -2*m(t) - 7*n(t).\nAnswer: 3449*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1952 divided by -8.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7340 divided by -4?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -3\/8, 0.3, -5, 11\/16?\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4400834293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 452 and 13359538.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:04 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48177, 48119, 48023, 47889?\n\"Answer: -19*m**2 - m + 48197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -591, -185, 589, 1731?\nAnswer: 3241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103683 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9413 is divided by 66.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -180640, -361280, -541920, -722560, -903200?\n\"Answer: -180640*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 1702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 0 - (232 + -253) - (3 - 5)) + 4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1835\/4 - 461. Let m = -15\/4 - i. Let x = 1 + -6. Put x, 0.1, m in ascending order.\nAnswer: x, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 30. Sort -2, 1, -5, a in decreasing order.\nAnswer: 1, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 3*l**2 - 1. Let y be w(3). Let d(v) = -v**3 + 8*v**2 + 10*v - 4. Let f be d(9). Suppose -f*j - 8 = -y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)\/(p\/p**6))\/(((p**(2\/15)\/p)\/p)\/p**(-4)))**44 assuming p is positive.\nAnswer: p**(-748\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/120 and -15\/7.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 492285.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -83. Let y be 3\/2*(-23 + c). Let j(l) = -l**3 - 20*l**2 - 43*l - 4. List the prime factors of j(y).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 4*s + 2*s**4 + 10*s**2 - s**4 + 0*s**3 - 4. Let k(u) = 3*u**3 - 9*u**2 - 3*u + 3. Let o(t) = -4*k(t) - 3*r(t). Find j such that o(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/29 (b) -85093 (c) 1\/5 (d) -2\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5390 + -5342. Suppose -y + 573 = t, -2*y = y + 5*t - 1713. What is the highest common divisor of g and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s. Let p(i) = 4*i**2 - i + 1. Suppose 231 = -4*q + 3*a, q - a = -0*q - 57. Let w be (-2)\/8 - 75\/q. Calculate w*p(r) - t(r).\nAnswer: 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 79, 125, 221, 385, 635, 989, 1465?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291828507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9209 - -8880.92. Let x = c - -328. Sort x, 2, 2\/3.\nAnswer: x, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 3*q**2 + 6*q - 6. Let x be y(4). Suppose x*d - 140 = -5*h, -5*h + 4*d + 1 = -139. What is the greatest common divisor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, -0.5, 3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6032693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let h = 15\/13 + -1. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 3*i + 4*t, -3*t + 92 - 8 = 2*i. List the prime factors of (4 + (-16)\/6)*i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 225344213\nAnswer: -225344213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u = 100*u. Let m(v) = v**3 - 12*v**2 + 9*v + 24. Let y be m(11). Suppose l + 2*l = 0. Solve u = -2*o - l + y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -716 - -632. Is r equal to -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/210 and -67\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 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: What is the value of ((-7740)\/(-144) - 37) + -14?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) -2691 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33c (base 15) in base 5?\nAnswer: -10412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/70 and -41\/176.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -68, -95, -132, -185?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 a factor of 10060814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from ooqqqoqw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1518, 1290, 1062, 834?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Let q = -6.04 + v. Let b = q + 0.24. Put -0.11, b, 4 in decreasing order.\nAnswer: 4, b, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9760, 19600, 29452, 39322, 49216, 59140, 69100, 79102?\nAnswer: 89152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2810?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, o: 1}. What is prob of picking 1 n and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjujjjuj. What is prob of sequence jj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = 4*j - 18, 4*j = 5*i - 39. Let n(g) = g**2 - 7*g - 4. Let q be n(i). What are the prime factors of -4 - q\/(2\/(-92)*-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+11208994274\nAnswer: 11208994273.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3725?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - j**2 - 7 - 137*j + 112*j.\nAnswer: -j**2 - 25*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*((5*(sqrt(68) + sqrt(68) + sqrt(68)*-1) - (-5 + -1 + sqrt(68))) + -4 + 2) + -1)**2.\nAnswer: 960*sqrt(17) + 17633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(1824\/(-15))*-1*(-10)\/(-25)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + l + 0*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.6. Let w(u) = 59*u + 945. Let i be w(-16). Which is the second biggest value? (a) 4 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -302 (b) -2\/9 (c) 2\/15 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1337\/1953 - (-2)\/(-9) and 21\/8.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204107 (base 8) to base 7\nAnswer: 401150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 3 - (1 + -15 + (-11 - -24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 2. Determine s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4))**(-13\/4))**(-2\/65)*((y**(1\/5))**(-27))**(-4\/31) assuming y is positive.\nAnswer: y**(371\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13569 and -0.3.\nAnswer: -0.43569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**2. Let n(f) be the first derivative of -f**2 - 3 + 2*f - 3 - 2*f. Give r(n(g)).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 15*j**2 - 16*j - 2. Let n(x) = 6*x**3 - 91*x**2 - 97*x - 13. Let a(g) = 6*n(g) - 39*z(g). Factor a(s).\nAnswer: -3*s*(s - 14)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 5b?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*r = -3925, 2*p - 1962 = r - 3*r. Suppose -2*s + 4*z + p = -0*s, 5*s = -z + 2450. Suppose -20 - 56 = -l + 4*j, -2*j + s = 5*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35444475, -35444473, -35444473, -35444475?\n\"Answer: -u**2 + 5*u - 35444479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((36708 - 3) + -1 + 2)*83. Let r = 236598 - g. What is r rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 469792073 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d*q**3 - 1869*d*q**2 - 16*d*q - 2*d - 14*q**2 - q - 2055 wrt q.\nAnswer: -30*d*q - 3738*d - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 3, -2.6003, 0.7, -3, -1\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 5*y - 573 = 11*h, 1116 = 2*h - 4*y. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000131111 (base 4) in base 8?\nAnswer: 2003525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 + 4*r**4 - 4*r + 93*r**3 - 94*r**3 - 2 to the form k*r**2 + a*r**3 + n + p*r**4 + f*r and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 20, 949 = p + 3*f + 952 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 7*g**3 + g**3 + (-3*g + 5*g - g)*(-g**2 - 4*g**2 + 3*g**2).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 365.32?\nAnswer: -365.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 35*j**2 + 182*j - 3820. Calculate q(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -444524*y**3 - 442744.\nAnswer: -1333572*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35572\/8 + 12\/8.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*2)\/((-2)\/379). Suppose 5*i + 5 = 5*w, -w = -3*w + 4*i - 2. Suppose -6 = w*b, 5*b + g - 1024 = -5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734453217 to the power of 1\/3, to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 5*n + 16*n)*(n - 4*n + n) as o*n + d + v*n**2 and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*u**4 + 20112*u**3 - 545643*u**2 + 954342*u + 1520289 = 0. What is u?\nAnswer: -1, 3, 411\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*84\/(-364)*26\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:07 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 125771*x + 251546.\nAnswer: -(x - 125773)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 1, x: 1, i: 8, c: 3, u: 2}. Give prob of sequence ilcu.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 464605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*h - h + 360. Solve -4 = 4*q, -2*q + 0*q - 17 = -h*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135778182.\nAnswer: 2, 3, 4153, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -g, 2*u - g = 7*u. Let c(x) = -3*x + 4 + 3*x - 2*x**2 + 3*x**2. Let d be c(u). Which is bigger: d or 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**7\/840 - m**6\/60 + m**5\/20 - 5*m**4\/24 + m**3\/3 - 11*m**2. Let i(v) be the first derivative of c(v). Determine i(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + (sqrt(1400)\/sqrt(8))**2).\nAnswer: -1050 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 20 - 20)*(-1 + 8*p**2 - 5*p**2 + 0) in the form y*p + c + b*p**3 + r*p**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5564228254 to the power of 1\/2, to the nearest integer?\nAnswer: 74594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 48*c - 43*c. Solve c*k = -5*t - 0*t + 13, 5*k = -3*t + 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1993*v**3 + 6 - 3 - 364*v**3 + 124*v**3 - 1 to the form m + q*v**2 + h*v**3 + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 47. Suppose 4*k - 8 - 24 = -4*m, l = 4*k - 4*m. Let r be 15 + -2 + -6 + k. Solve 0*d - r = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - 20) + 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/5))\/r**(1\/8))\/(((r*r\/(r\/(r*r*r**0)))\/r)\/(r*r**4)) assuming r is positive.\nAnswer: r**(147\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61516828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and 33.1.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*b - 315*b - 22*r - 192 = 0, -b - 23 = b + 3*r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/28 + -64 + (-592829)\/(-9345).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(4\/5)*o)\/((o*o**(-16))\/o))\/(o*o**14*(o\/(o**(-3\/16)*o))\/o))**(-2\/57) assuming o is positive.\nAnswer: o**(-123\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 22*z - 61. Let m be b(3). Suppose 0 = m*j + 3*d - 8462, 5*d + 8470 = 6*j - j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.37 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:11 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 387 + -384. Let x(k) = k**3 - 14*k**2 + 12*k + 13. Let c be x(13). Solve 3*l + q = -5*w, 23 = -c*l + 5*l - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1 (b) -3\/4 (c) -2\/7 (d) -1\/4 (e) -5\/3 (f) 1858\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:04 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i**3 - 16*i**2 + 11*i - 6. Suppose 2*k + 32 = -2*k. Let u be -3 - 4\/(k\/10). Let c(t) = 2*t**3 + 3*t**2 - 2*t + 1. What is u*n(p) + 11*c(p)?\nAnswer: 2*p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -174*i**2 - 86*i - 8. Give f(-2).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 + 4 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45551 is divided by 115.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20270760 to the power of 1\/2, to the nearest integer?\nAnswer: 4502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65d (base 15) in base 3?\nAnswer: 1222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 520146469 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 + 4*d + 4. Let b be z(-3). Let j = -29 + 26. Let a be (10\/(-15))\/(1\/j). Solve a*x = 7*x - b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (5 - 2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 31 + 0 + 1 - (-17 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -46137039.4 to the nearest one hundred thousand.\nAnswer: -46100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67683.\nAnswer: 3, 7, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 158*d - 154*d - 16)*(-2*d**3 - 2*d**3 + 6*d**3) to the form f*d**2 + y*d**3 + q*d + u + x*d**4 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275.6 - 447. Let h = a - -171.3057. Round h to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1161171 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100101000 (base 2) in base 8?\nAnswer: 42450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 9?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 122\/5 (b) -6502 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26977016251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 - (4 - 2))) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - k + k - 76 - 5*k to the form v + g*k and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 5. Let f be z(-8). What is the second smallest value in f, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2. Let x(d) = 1. What is -h(r) + x(r)?\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 52839?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -21. Let j(o) = -7*o + 751. Let b be j(88). Calculate the highest common divisor of q and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 divided by -107?\nAnswer: -368\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - ((-24 - -8) + 29) - (-1 - -1 - 11).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*h**4 + 381*h wrt h.\nAnswer: -4896*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*x**3 + 939*c**2 - 11*c*x + x**4 wrt x?\nAnswer: 6*c**2*x**2 - 11*c + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1095956 at least 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142959*q**3 - 20117*q**2 - 6.\nAnswer: -857754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 2004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + 6*(sqrt(10)\/sqrt(50) + 2 + 3))**2.\nAnswer: 72*sqrt(5) + 4536\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3, 9 in decreasing order.\nAnswer: 9, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*q**2 - 237*q**2 + 447*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**2*q**3*w**2 - 51178*a**2*q**3 + 1557*a*q**3*w**2 - 2*a*q**3*w - 2*a*q**2*w + 111*a*q*w**2 wrt a.\nAnswer: -8*q**3*w**2 - 102356*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 1)\/((-1)\/197*1). Solve 0 = 7*c + g - 957 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.842336 years?\nAnswer: 0.05842336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30186579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4220, -4218, -4206, -4178, -4128, -4050?\n\"Answer: w**3 - w**2 - 2*w - 4218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0\/(-1) + 48 + -51. Let v(p) = 14*p - 10. Let w be v(1). Which is the third smallest value? (a) w (b) -4 (c) r (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*l + w, 0 = -2*l - w - 2*w + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208188, -2, -1221 in increasing order.\nAnswer: -208188, -1221, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11*g + 12 = 0. Suppose -h = -g*v + 11, -2*v + v + 2*h - 2 = 0. Let m be 0 + 564\/16 + (-2)\/v. What is the greatest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1632*u**3 + 2 - 2836*u + 2749*u**3 - 2839*u + 8514*u - 2837*u in the form w*u**3 + i*u**2 + y + q*u and give w.\nAnswer: 4381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1224145 and 9.\nAnswer: 11017305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5171428 kilometers?\nAnswer: 517142800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 19487493\nAnswer: 97437465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 - 2*q**4 + q + 0*q**4)*(-368*q + 77166 - 77166).\nAnswer: -736*q**5 - 368*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25061052?\nAnswer: 2, 3, 2088421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(306)\/(1*sqrt(6)))\/(sqrt(27)\/sqrt(144))*-4.\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553629187.\nAnswer: 11, 401, 352217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + 5 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1190)\/(-119))\/(10\/1)*(403\/156)\/31?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/3 - 3*k**2 - 1. Let f(r) = r. Let p(b) = -6*f(b) - z(b). Let o(h) = 3*h. Give o(p(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -10*z**2 - 4\/21*z**3 + 0 - 1\/21*z**4 - 1\/735*z**7 + 0*z + 1\/42*z**5 - 1\/1176*z**8 + 1\/84*z**6. Find i, given that g(i) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -4 - (-4896)\/(-160))*10\/(-4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -1\/7 (c) -2\/141 (d) 1.5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 89 = 5*t - t, 0 = 5*t - k + 114. Let y be t\/(-7) + (5 - (-111)\/(-21)). Solve 0 = 2*a + 2*f - 16, -2*a - 3*f + 4 = -y*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Determine u so that 8*u**2 + z*u + 6*u**2 + 8*u**3 + 2*u**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 4*p + 3. Let n be y(-2). Suppose -4*t - n = -7*t. Let f(x) = -3*x + x**2 + x - t + x. Determine f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5739, -5714, -5673, -5616, -5543, -5454, -5349?\nAnswer: -5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Let g(j) be the first derivative of 0*j + 0*j**3 + 3\/2*j**q + 3 + 1\/5*j**5 + 0*j**4. Find the second derivative of g(w) wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1675 and -3\/6365.\nAnswer: 31825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44 - -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210321 (base 4) in base 6?\nAnswer: 45521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2889*o**2*r*z + 26*o**2*z + 1019*o*r*z + 2*r - 4*z wrt o.\nAnswer: 5778*r*z + 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 5 = 0. Let b be 18\/(-45) - (-302)\/f. Calculate the greatest common factor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -1226. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 42032.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - n**4 + 1 + (12 - 12 + 5*n)*(91 - 91 - 19*n**3).\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**2\/4 + 78709825*t - 1239047310306125 = 0.\nAnswer: 31483930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2634, -2632, -2630, -2628, -2626?\nAnswer: -2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 6*l**2 - 12*l + 3. Let w be q(8). What is the greatest common divisor of 20 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 154*i**5\/9 + 9068*i**4 - 9572*i**3 - 66784*i**2\/9 + 21598*i\/3 + 708 = 0.\nAnswer: -531, -6\/7, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5874332.08 to the nearest one hundred thousand.\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -40*k + 5. Let q(x) = -79*x + 9. Determine 5*f(m) - 3*q(m).\nAnswer: 37*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -36*r**5\/5 + 10599*r**4\/5 + 163764*r**3\/5 - 474522*r**2\/5 - 317808*r\/5 - 47277\/5 = 0.\nAnswer: -17, -1\/3, -1\/4, 3, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4178 = -10*a + 12488. Solve -4*v + 851 - a = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8, 3*v - 4*g - 26 + 64 = 0. Let w be 1\/3 - (-86)\/(-6). Let r = v - w. Let c(f) = -f**3 + 3*f**2 + 6*f - 5. Calculate c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/5)\/r**(-2\/9)*(r\/(r**(-2)\/r))**6*r*r\/(r*r\/r**(2\/9))*r*r\/(r**(-8)*r*r)*r*r**(-1\/4)\/r*r\/((r**(-3\/11)\/r)\/r) assuming r is positive.\nAnswer: r**(71413\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/7*7\/4. Which is the biggest value? (a) 4 (b) -2\/17 (c) 0.1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 30.2. Let j = 15 - l. What is j rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877992?\nAnswer: 2, 3, 36583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -66, 0, -4, -206 in decreasing order.\nAnswer: 3, 1, 0, -4, -66, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8431897\/10 + -836522. Let u = 6673 - a. Calculate the common denominator of u and 25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 70. Let b be x(0). Let v(t) = t**3 + 24. Let l be v(0). Let c = b - l. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*r - 6 + 1, 4 = r - 3*z. What is the units digit of 6\/(-10) + (-98)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 - 92. Let d be (3\/r)\/(-3 - (-74)\/25). Solve 0 = -d*i + 14*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 12*b**2 + 108*b + 378. What is q(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0\/1 + -6. Let i(h) = -h**3 - 8*h**2 - 9*h + 4. Let r be i(f). Let j be (-4)\/r + 249\/27. Solve -t = -2*y - 6, -3*t = 3*y + 2*t + j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = -55*y - 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + sqrt(242) + (-1*sqrt(242) + -5 - sqrt(242)) + 5*sqrt(242)*-1)**2 - 2*(-2*sqrt(242))**2*-5)*-6.\nAnswer: -94530 - 3300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (1 + -9 - -7) + 2 + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(-33)*(-585)\/(-130)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 25 = 5*i, -k + 4*i + 15 = -i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2248\/3 + -750. Suppose -4*o + 2 - 6 = 5*b, -3*o + 32 = -5*b. Suppose o*d = -13 + 5. What is the nearest to f in -1, d, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/72 and -17\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 31883*p + 2327441. What is o(-73)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 700, 2264, 5306, 10318, 17792, 28220, 42094?\nAnswer: 59906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -99337.78656476 and -0.3.\nAnswer: -99338.08656476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 - 2*m - 1. Let n(v) be the third derivative of -1\/60*v**5 + 1\/24*v**4 + 0 + 5\/6*v**3 + 32*v**2 + 0*v. Let z be n(3). Determine g(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*u - 48, 4*u - u - 26 = -p. Let y(a) = 28 + p*a - 28 + 57*a. Let z(j) = 2*j. What is y(z(m))?\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -3*c - 4*c. What is the greatest common factor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -333 - -550. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose 7 = -4*c - 3*q, u*c + 2 = -2*q - 0. Sort 5, c, 1.\nAnswer: 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/313469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m - 4. Suppose -5*v = -m*w - 614, 5*v - 3*w - 622 = -w. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1457 + 2419. Let n be z\/(-156) - 1\/(-6). What is the second biggest value in 4, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2\/(-4) - -2). Let i = q + 3. What is the remainder when 15 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:47 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 160*w**2 - 20*w. Let b(d) = 62*d**2 - 244*d**2 + 83*d**2 + 3*d + 76*d**2. What is -20*b(g) - 3*f(g)?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 3*c + 4*v, v - 71 - 39 = -3*c. Let w = c - 25. Let m be w*(-1 - 0)\/2. Let r(q) = q**3 + 6*q**2 - q - 5. Calculate r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4394*h + 356 - 436*h - 355)*(-4 + 5 - 2 + (2 - 1 - 3)*(-3 + 5 - 1) - 3 + 1 - 1).\nAnswer: 28980*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1073 - 85*j**2 - 1073 in the form n*j**2 + z + i*j and give n.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 66*n + 308. Let i be x(-61). Let p(d) = -d**2 + 4*d + 5. Let k be p(4). Put i, k, 0 in descending order.\nAnswer: k, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. Let l = 0 + f. Solve -l*d + 28 = -5*y, y + y + 16 = 4*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21192712 to the nearest integer?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-780)\/(-8))\/13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229.3779 - 0.1779. Let k = -227 + s. Which is the third smallest value? (a) 0.05 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-384)\/((-12)\/(-4)). Suppose -138*y + a*y = -546. Is -4 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/24 + h**3\/12 - 3*h**2 + 368*h. Factor b(g).\nAnswer: (g - 3)*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.83 - -23. Let t = b - 0.03. Let u = -2009 + 2009.1. Which is smaller: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 - 2*i + 6. Suppose -20 = -2*l + 6*l. Let s(b) = 7 - 2*b + 4*b**2 + 7 - b**2 - 9. Calculate l*p(c) + 6*s(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111867 divided by -17.\nAnswer: -111867\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-39)*f)**(-43)*((f**(-2\/11)\/f)\/f*f)**(-2\/33) assuming f is positive.\nAnswer: f**(593168\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 40. Let v be 4 + 16 + o + -1. Solve -50 + v = -2*b - 5*m, -2*b - 9 = -3*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -18 - (30 - (72 + -33)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*20189573.\nAnswer: -8075829.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 484, 549, 670, 865, 1152, 1549?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 6*r - r)*(3*r - 13*r - 6*r).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -2.7302.\nAnswer: -0.054604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 66. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 5*k**2 + 14*k - 60. Calculate the lowest common multiple of a(5) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**3\/3 - 1. Let w(z) be the second derivative of -z**4\/2 - 2*z - 685. What is w(r(x))?\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-30)\/(((k**(-4\/5)\/k)\/k*k)\/k**(1\/5)))\/((k*(k*(k*k**(2\/9))\/k)\/k)**(-4\/15)\/(k**(-1))**(-3\/28)) assuming k is positive.\nAnswer: k**(-104203\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqggxxqxsxgxxgq. Give prob of picking 2 x and 1 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -328 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 4 - x**2 - 3*x**4 - 2*x**3 + 5*x**4 to the form r + w*x**4 + o*x**3 + u*x + h*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 7*t**4\/24 - t**3\/6 + 47*t**2\/2 + 14*t. Let z(y) be the first derivative of l(y). Let j = 3 - 2. Determine z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o - 28*o + 4 = 5*t, 0 = t + 2*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*g - 2149*g + 414195 = 2120*g + 96427 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose d*p - 8 = -0*p. What is t in 3*t**5 + 5*t**4 + 0 - 6*t**2 - 3 - 9*t + 6*t**4 - 2*t**p + 6*t**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -666 + 51601?\nAnswer: 50713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 2 + 14*i as u*i + h and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - h**2 + 1. Let n be ((-2)\/3)\/(2\/(-12)). Let d = 6 - n. Suppose -d = f + z, 4*f + 0*f - 4*z = 16. Calculate m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -0*t. Let v(m) = -8*m + 21. Calculate the least common multiple of v(2) and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 - 3*c - 3. Let a be d(-2). Suppose 4 = -2*f - 6, -5*h + 5*f + a = 0. Solve -j = 2*j + h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67743.94ng to milligrams.\nAnswer: 0.06774394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.064 at least as big as -34475.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -989 + 3dd7?\nAnswer: 344c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - -4)\/4 - -5. Let h be x*(2 - 6\/4). Factor 0 + 1\/2*d - h*d**2.\nAnswer: -d*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1691 and 42898.\nAnswer: 815062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66723.48mg in grams?\nAnswer: 66.72348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -4*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8099, 3, -4, -5 in decreasing order.\nAnswer: 8099, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8*n + 20. Suppose 0 = -b - 0*k + k, n*k - 10 = 0. Suppose 16 = 4*v - 2*v + b*z, z = -5*v + 24. What is the second smallest value in -1, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/609 and 1\/130905.\nAnswer: 26573715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 + (-98 - -84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3754) + 0\/3. Is 16 a factor of g\/(-40) - (2\/(-8) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98, 246, 432, 674, 990, 1398?\n\"Answer: 3*s**3 + s**2 + 124*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a8b3b9 - 1c?\nAnswer: -1a8b3d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 43300*x + 1. Let b(t) = 9*t. Determine b(g(y)).\nAnswer: 389700*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 4*i - 17. Calculate r(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -3. Let g = 40.6 - 41. Let t = q - g. Which is the third biggest value? (a) t (b) -2\/3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54347.41ml in litres?\nAnswer: 54.34741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 330*v**2 + 233*v + 25636. What is a(-110)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10029120 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4711949469 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 l, and 1 m when four letters picked without replacement from {l: 4, m: 1, r: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16803.7382 + -16804. Round m to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2 - -6) + 0 + 15 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-14))**(-1\/9))**(-39) assuming q is positive.\nAnswer: q**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11615 = 3*y - 30904. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 4*u**2 - 3*u + 2. Let o be n(2). Let m = o - -4. Suppose -2*v = -m - 2. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2110202?\nAnswer: -2110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 41\/7, -1\/5, -3 in descending order.\nAnswer: 41\/7, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1002 - 1037. What is the closest to 0.1 in -2\/5, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*g - 5 with respect to g.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1710)\/(-8))\/(-15) - -5*7\/140?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*s + l - 20, 5*s - 5*l = 155. Suppose -3*k = -5*k - 2*z + 18, -2*z - s = -5*k. Let c = 48 - k. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + 4 - 8*y**2 - 3*y**3 + 2. Let x be t(-8). Let v = x + -20. Is -13 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(51)\/sqrt(3) + (2*sqrt(17) + sqrt(17) + -1)**2.\nAnswer: -5*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n\/(n*n**(4\/3)\/n*n))\/(n**(1\/2)\/(n**(-3)*n))*(n*(n\/(n\/(n*n\/(n*n*n**(-1)*n*n))))\/n*n)**(21\/2)*(n**4\/n)\/(n**(3\/7)*n) assuming n is positive.\nAnswer: n**(31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 9*k. Let g(x) be the third derivative of 0*x**3 + 4*x**2 + 0 + 0*x + 1\/6*x**4. Calculate p(g(y)).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022757 rounded to 5 decimal places?\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -q. Solve 0 = -2*s - 5*x + q, x + 8 - 2 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(133)\/(sqrt(7)*3) - sqrt(1216)*-3)**2.\nAnswer: -101251\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 33*y = -33*y + 160. Let f = -9 + 30. Solve -q - 4 = -5*o, y*o + 4*q + f = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*c + 224 - 227, 0 = -6*n + 5*c + 33 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7499 (b) 1\/5 (c) -1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -88.\nAnswer: 83\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-1 - -2)*3. Let m be (v - 84\/(-45))\/1. Which is the third biggest value? (a) -3\/8 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 197 + 305ddb?\nAnswer: 306194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18455, 18699, 18953, 19223, 19515?\nAnswer: 19835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-31)*m**37)**(-23) assuming m is positive.\nAnswer: m**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/12)\/((-3)\/99). Suppose -10*l = -x*l + 37. Suppose l = -4*o + 233. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 487, 2677, 6327, 11437, 18007, 26037?\n\"Answer: 730*t**2 - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4053, -4051, -4053, -4059, -4069?\n\"Answer: -2*n**2 + 8*n - 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00744839323 rounded to four decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 8 = f. What is the lowest common multiple of 20 and (-3)\/((-9)\/(-30))*f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110100000100010 (base 2) to base 10\nAnswer: -26658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88 - (8 + 216187\/2703)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-128)\/24)\/((-2)\/3273). Suppose -5584 = -2*j + 5*v + l, -v - 2 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*x - 8, -4*c - 4*x + 8*x - 36 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 - 4 = 0. Let n be (-22)\/w - (-3)\/(-2). Suppose -5*s + 4*c - 1 - 1 = 0, -n*s = -c - 5. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*t**3 - 117*t**3 + 257*t**3)*(-3 - 4 + 5)*(-1 + 3 - 1).\nAnswer: -646*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1899743.1 and 29971.\nAnswer: -1869772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:31 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 17*c - 16. Suppose c*p = 8*p + 4*b - 28, -4*b - 16 = 0. Calculate the greatest common divisor of p and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -0.99 (c) 2 (d) -3\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 43*m - 43. Let s be r(22). List the prime factors of s*(-210)\/(-18)*-3.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 13508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22324040 and 4.\nAnswer: 89296160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*d - 3647*d + 3391*d.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + w - 219, -989623*w + 989619*w + 136 = 2*y for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 + 303 - f + 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.731566 rounded to 1 decimal place?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55061094 rounded to two dps?\nAnswer: -5.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1*(0 + 1)). Suppose 0*f + q*f - 60 = 0. Suppose -2*u = 2*k - 114, -5*k = -2*u + 123 + f. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -25*g**3 + 5*g**2 - g + 5. Let j(u) = -25*u**3 + 3*u**2 + u + 4. Calculate -2*f(q) + 3*j(q).\nAnswer: -25*q**3 - q**2 + 5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j - 5*j)*(1 + 2 - 61105*j + 61089*j).\nAnswer: -16*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 118906433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18cbcd (base 14) in base 13?\nAnswer: 24a975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 47. Let t = 80 - f. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 13 + 6 + 22 + -22 + -94 + -1?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4 + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*(-2231)\/(-840) - 11 and 95\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 156 + 16 = 0. Let h = p - -70. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2781640 by -1576.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -67a (base 12) to base 15\nAnswer: -43d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168819 and 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 9 - 9)*((0 + 2*x + 0)*(1 + 1 + 0) + (1 + 2*x + 0 - 5*x)*(3 + 4 - 5)).\nAnswer: -6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12421.7 rounded to the nearest 10?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2 - 8*l + 38. Let q = 6 + 2. Let f(v) = 429 + 20*v - 15*v - 7*v**2 - 454. Let m(z) = q*f(z) + 5*y(z). Differentiate m(w) with respect to w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 8) to base 12.\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 3 + -3. Let c = 2 + 13. Let d = c + r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 52*n. Let s(m) be the second derivative of m**3\/6 + 24*m. What is f(s(v))?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331111 - 20?\nAnswer: 11331031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13735 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526653?\nAnswer: 3, 163, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 1295502*j + 36271704.\nAnswer: 3*(j + 28)*(j + 431806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1 - 4 + 9*b + 53*b**2 - 44*b**2 - b**3 + 17. Let d(s) = -s - 1. Let u be d(-11). Give q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.62984 + -36.75. What is z rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -122733.\nAnswer: 1\/122733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/995 and 25\/2587?\nAnswer: 12935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2*g - 1\/6*g**3 + 3\/2*g**2 - 11\/12*g**4 + 0. Let m be p(-2). Which is smaller: m or -38?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -672265337 times -2?\nAnswer: 1344530674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let l be ((-6)\/(-3))\/(z\/(-7)). Let k(i) = -i**3 + 7*i**2 + 2*i + 2. Is k(l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 - 19344*s\/5 - 596781\/5.\nAnswer: -3*(s + 31)*(s + 6417)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 72*s**2\/5 - 15*s - 18\/5.\nAnswer: -3*(s - 3)*(s - 2)*(5*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 150*r**2. Let u(n) = 3*n**2 - 6. Let q(g) = -1. Let c(v) = 6*q(v) - u(v). Determine a(c(m)).\nAnswer: 1350*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/4 - j**3\/2 + 5*j**2. Let l be z(-1). Solve 5*b + 3*u - 5*u = 8, 4*b - 12 = l*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4, 4*h - 3*h - 1185 = -2*n. List the prime factors of h.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436, -1865, -4220, -7483, -11636?\nAnswer: -16661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -9. Let n be 4\/g - (-145)\/(-4). Let d = n + 66. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3\/5 + 15*w**2 + 438*w\/5 + 72 = 0. Calculate w.\nAnswer: -4, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*t**3 + 4*t - 387*t**4 - 3*t - 72*t**3 - 84*t**3 - 83*t**3 to the form l*t**3 + a*t**4 + k*t**2 + b + o*t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/551 + 422\/38. Let s = k - 10. Let c be s - -30 - 2 - 2. Calculate the highest common divisor of 216 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 3880 = -762. Let h = i - -425. Suppose 6*b - 8\/3 + 2\/3*b**h - 4*b**2 = 0. Calculate b.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - 4\/10. Let y(j) = -3 + 1 + j + 1 + u*j**2 - j**2. Let v(s) = s**2 - 3*s + 3. Let o be v(2). Let x(i) = 4*i**2 - 4*i + 2. Give o*x(f) + 2*y(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -6*y + 37. Solve y*j - 3 = 49 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1 + 2*t + 4 - 4*t - 2 - t**2. Let y be a(-3). Let h(g) = -g - 1. Calculate h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*f**5 - 2*f**4*n + f**2*n + f*n + 7*f wrt f?\nAnswer: -5040*f**2 - 48*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -644130615, -644130618, -644130621?\nAnswer: -644130624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4438284 + -92.2108216. Let o = -0.03535 + j. Let n = -92 - o. Round n to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/208 and -91\/540.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -31*f**3 - 3*f**2 + 19*f + 21. Give w(-3).\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -48817 at most as big as -48817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 2.01. Let m be (2 - -265)\/(-1) + (15 - 13). Let o = 2917\/11 + m. Is z greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -722 - 296 = -2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5\/60 - o**4\/24 - 4*o**3\/3 + 5. Let r(u) be the third derivative of m(u). Let b(j) = -2*j + 1. Calculate 3*b(s) + 2*r(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 78, 0.628291.\nAnswer: -3\/7, 0.628291, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2317367 centimeters to kilometers.\nAnswer: 0.000002317367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:53 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11690 = 6*v + 14266. Let n = 6799 + v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446 - -440. Let j = -29 + 50. Let b(a) = -a**3 - 2*a**2 - 2. Let h(g) = -2*g**3 - 7*g**2 - 7. Determine d*h(i) + j*b(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1545, -2962, -4251, -5412?\n\"Answer: 64*t**2 - 1609*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/395 and 51\/245.\nAnswer: 19355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-4) - (21\/(-9) + 2738\/1416) and -83\/1416?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33398004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559077 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 35. Suppose 0 = -g*m - 3*l + 292, m - 7*l - 135 = -3*l. What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-3)\/2 + 3). Suppose 24 = 3*t + r. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**8\/420 + t**7\/210 - 5*t**3\/3 + 5*t. Let p(s) be the second derivative of l(s). What is i in p(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/21 - 4*y\/21 - 2\/21.\nAnswer: -2*(y + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Let p = 9 + -7. Suppose y = -z + p + 13. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (-1 - (-3 + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -243, -313, -497, -855, -1447, -2333, -3573, -5227?\n\"Answer: -10*z**3 + 3*z**2 - 9*z - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8*(-2)\/3. Let y = 2.1 - 2. Let n = y + -0.3. What is the second smallest value in p, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 5*i**3 - i**3 + 10*i**3 - 29.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, t: 10}. Give prob of picking 1 t and 1 d.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -36 (c) 487 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.47193 and 17.\nAnswer: -42.02281","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 + -3. Let r = o + -2. Which is the second biggest value? (a) -4\/5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 105*o**4\/8 - 2*o**2 - 50*o - 6. Let d(v) be the first derivative of v**2\/2 + 1. Calculate h(d(y)).\nAnswer: 315*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2. Let o(c) be the second derivative of 391*c**3\/3 + 573*c. Give o(i(w)).\nAnswer: -782*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 4*d - 2*d**4 + 5*d**4)*(-279 + 780 - 323).\nAnswer: 534*d**4 - 356*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-30)\/(-4)) + 782\/(-51). Let s be ((-27)\/396)\/(-3 + (-42)\/h). Which is the third smallest value? (a) 2\/9 (b) s (c) -0.07 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 11333?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3 + 704*h**2 - 2792*h + 2784 = 0.\nAnswer: 2, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z)*(2 - 1 - 2) + (0 - 2 + 1)*(-2*z + 7*z - 2*z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 4. Let f = 44.2 + q. Let k = 4.45 + f. Round k to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 5 = 0. Let k(l) = l**2 - 4*l - 5. Let p be k(i). Factor 2\/7*n**4 + 2\/7*n**3 + 0*n + 0*n**2 + p.\nAnswer: 2*n**3*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 10*b**3 - 11*b**3 + 18*b**3 to the form x*b**3 + d*b**2 + c + i*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 169, 344, 641, 1066, 1625?\n\"Answer: f**3 + 55*f**2 + 3*f + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1111010011?\nAnswer: -1111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*w**3 - 250*w**2 + 250*w**2 + (3*w + w - 2*w)*(-4*w**2 + 2*w**2 + w**2).\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -21*n**5\/5 + 3384*n**4 + 440439*n**3\/5 + 720522*n**2\/5 - 31101888*n\/5 - 8934912\/5 = 0.\nAnswer: -16, -2\/7, 7, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16538094 a multiple of 2187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42573660 to the power of 1\/3, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 1049, 2457, 4427, 6959, 10053?\nAnswer: 13709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from crhsnnnsccnhccrrns.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 752910629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.069. Let h = 20.009 + u. Let w = h + -20.00000046. Round w to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubud when four letters picked without replacement from {c: 4, b: 1, u: 5, d: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -4 + 4 - (-160)\/32. Solve 3*p = y*h - 12, 4*h - 9*h = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6051*t**2. Let z(o) = -3*o. Give z(n(d)).\nAnswer: -18153*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let k be ((-2)\/(-13) - 22\/(-26)) + 2. Let j(b) be the second derivative of 4*b + 2\/3*b**k + 0 + 0*b**2. Determine j(d(g)).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -110\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6024909 by -2.\nAnswer: 6024909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66080686, 132161370, 198242054, 264322738, 330403422?\n\"Answer: 66080684*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013361 rounded to 7 decimal places?\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 5. Suppose -136 = -j*k - 5*u, 0 = -k - 2*k - 4*u + 211. What is the derivative of 40 - 41*y + 158*y - k*y wrt y?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/204 and 23\/78.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:43 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*p - 15, q + 2*p = -5 - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7\/(-28) + (-4)\/(16\/(-1205))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 4\/23 (b) -3 (c) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbt when four letters picked without replacement from bieebtbtibtb?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 4. Let g be z(3). Let f = g - -2. Factor 3*w + 1 + 3*w**2 - 5 - 5 + f.\nAnswer: 3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 + 4*t - 5. Let c be k(-3). Suppose 3 = -i + 4*a - 6, 5*a + 120 = -5*i. Let f = i - -22. Solve 3*b + c = f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyl when three letters picked without replacement from {m: 1, w: 13, l: 3, y: 2, t: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 59. Suppose 2*x = -n*q + q + 10, -x = -5*q + 9. Solve -k - q*g = 2, -4*g - 5 - 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64309794?\nAnswer: 2, 3, 19, 23, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 318 - 155 + 52 + 2*g + 311.\nAnswer: -4*g**2 + 2*g + 526","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 73794 a multiple of 502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 68531221.76.\nAnswer: -68531225.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(475) + 1 + 4)**2 + -4.\nAnswer: 10*sqrt(19) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**7\/42 - l**6\/24 - l**5\/12 + 5*l**4\/24 + 12*l**2 + 2*l + 6. Find u such that b(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 13 = -5*f, -5*f - 9*h - 5 = -4*h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -58, -129, -228?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-12) + (-12)\/(-16). Let a(m) = k*m - 7*m + 2*m - 4*m. Let f(b) = b**2. Calculate a(f(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -13. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43225 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 49 - 67 + 90. What is the lowest common multiple of z and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {i: 2, a: 2, x: 4, t: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + -27. Suppose 4*y - 3*y = -69. Let m = x - y. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s + 2 = f, -4*s = -4*f + 40. Let -41*t**3 - 7*t**5 + 39*t**3 + f*t**5 + t + 2*t**5 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4 + 116*h**3 + 1186 wrt h.\nAnswer: -12*h**3 + 348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/33)\/((-16)\/6)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2596 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.078*-46.\nAnswer: 3.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -415, -978, -1781, -2830, -4131?\nAnswer: -5690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108228 + 17101. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231030 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.74 + -119.74. Let y = 42238 + -42354.785. Let f = y - m. Round f to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32175?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*f*g**3 + 110*f*g**2 + 16*f*g - g**3 wrt g?\nAnswer: 78*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 9:49 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -114540 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23908.7 + 23909. Sort o, 3\/8, -14, 0.05, -0.4 in ascending order.\nAnswer: -14, -0.4, 0.05, o, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 40801.\nAnswer: 40806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + 1 + (sqrt(13) - (sqrt(13)*-1 + 2)**2) + 5*-2*sqrt(208).\nAnswer: -34*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449647?\nAnswer: 31, 143537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + 1 - (5 - -6 - 3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1817010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 12) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 2*b**2 - 4. Let y be u(3). What is the units digit of 68\/5 - (-2)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48*-59\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.05879\nAnswer: 0.64669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-9)\/108)\/(1\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = -32*j + 12 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -7466193107090.\nAnswer: 7466193107090.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 1551642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 979 = 2*a, -a - 188 = f + 6. Let j = f - -223. Let n = 663 - 377. What is the greatest common factor of j and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*2 - -2*sqrt(24)*1)\/((sqrt(588) + -2*sqrt(588) - sqrt(588))*3).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d**3 + 113\/24*d**4 - 24\/35*d**7 + 0*d - 1\/30*d**5 + 0*d**6 + 250*d**2 + 0. What is the third derivative of z(n) wrt n?\nAnswer: -3456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9879 is divided by 3583.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -t - 16, -3*b + 28 = 2*b - 2*t. Let w(p) = -p**3 + 4*p**2 - p + 3. Calculate w(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-42700)\/35)\/(-10).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7*x. Let b(s) = 1 + 0 - s + 9*s. Let y(i) = -i**2 - 10*i + 53. Let l be y(-14). Let p(o) = l*b(o) - 4*u(o). What is the derivative of p(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 12*c**2 + 4*c + 11. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.24932 - 348516\nAnswer: -348514.75068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*s = -13, 5*k + 14*s - 9*s = -25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.34803014 rounded to one dp?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -15*q - 42. Let r be v(-4). What is the highest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1500 = 4*q + 5*a, 5*q - 1480 = -a. Let u = q - 161. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/87516 and 109\/262548.\nAnswer: 262548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6688903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 551*i = 555*i - 36, 21*i + 180 = 31*t + 19*i for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nllnn. Give prob of picking 1 l and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221 - 25404?\nAnswer: -25163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -3\/89 (c) -4\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u**2 + 6*u + 23. Let a be o(-6). Find the second derivative of 34*i - i**3 - 383 + 4*i**2 + a wrt i.\nAnswer: -6*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -507, -1856, -4483, -8814, -15275?\n\"Answer: -71*c**3 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and 113.\nAnswer: -12204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 - 3*f**5 - 4*f**5 + (5*f - 5*f - 4*f**4)*(f - 3*f + 5*f) + (4 - 7 - 4)*(0*f**4 + 2*f**5 + 0*f**4).\nAnswer: -29*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a millimeter in micrometers?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11839*g**2*r - 116*g*r + 5942845*r with respect to g.\nAnswer: 23678*g*r - 116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.53986.\nAnswer: 10.25734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 * 554821\nAnswer: 2385730.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1548 + 2831?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122769*y**2 - 286030.\nAnswer: -245538*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 1431998568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.51 - 104. Let v = -0.5 - i. Sort v, 5, 2.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-18) - 732175\/(-225)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*f + 14*f - 6 in the form c + o*f and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -j + 5*k, 2*k - 380 + 356 = 2*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 165797*d + 99218?\nAnswer: 165797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285*t**4 + 2*t**3 - 1683*t**2 + 9*t + 1?\nAnswer: -6840*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5352625.\nAnswer: 5, 42821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 79*h - 80*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*s - 105, 24 = -s + 2*s - 2*m. Do 29 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 1430*f**2 - 97675*f + 96250.\nAnswer: -5*(f - 175)*(f - 110)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 52*c + 42*c - 28 - 91*c. Let z be f(13). Suppose -8*m + z*m = 627. List the prime factors of m.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 103. What is the remainder when 340 is divided by n(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a57 (base 12) in base 15?\nAnswer: 6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51624 is divided by 235?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 1.3577\nAnswer: 0.95039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 5*p - 24. Let u = -20 - -27. Let o be d(u). Which is greater: -1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.7 - -11.7. Which is the closest to 2\/27? (a) 6 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -442, -1015, -1818, -2851, -4114?\nAnswer: -5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = 2*h. Solve n + 2*x = 5*n - 22, n + h*x - 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3*j - 1)*(-3 - 3 + 5) + 3*j - 3*j - j)*(-6*j**3 + 6*j**3 - 11*j**3) to the form w + c*j**2 + u*j + y*j**3 + z*j**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 35, 42, 63, 104, 171, 270?\n\"Answer: m**3 - 2*m**2 - 2*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23515, 49356, 75197, 101038?\n\"Answer: 25841*t - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/6 - 9*x**2\/2 + 5*x. Let m be d(10). Put 0, -1, m in ascending order.\nAnswer: -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {a: 5, n: 1, f: 6, t: 1, l: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.14 - 16. Let v = -0.00911 - -0.05911. Let s = v - x. Which is the fourth smallest value? (a) -1 (b) s (c) 3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27824 and 592?\nAnswer: 27824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -73*l**2 - 563. Let s(f) = 3*f. Let b(c) = -c. Let h(y) = 4*b(y) + s(y). Calculate a(h(g)).\nAnswer: 146*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12504 and 125\/24?\nAnswer: 12504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-2) + (948 - 945) + (0 - 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1832853\/56868188 + 3\/101732. Let w = l - -37615\/5031. Let t(x) = 4*x**3 - 4*x - 3. Find the common denominator of t(-2) and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6501 is divided by 6466.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 2*b + b)*(b - 3*b + 3*b)*(49751 - 49752 + 477*b**2 + b + 773*b**2) as p*b**2 + z*b**4 + h + g*b + r*b**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1 + 57*l**3 - 2*l - 31*l**3 - 27*l**3 + 4*l**2. Let h be d(2). Let f(u) = 4*u**3 - 4*u**2 + u - 2. What is the tens digit of f(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*o**5 - 22*o**2 - 19*o**5 + 9*o**5 wrt o?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-99)*(-16 - -1). Which is the third biggest value? (a) q (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 6.2?\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124004584 and 198?\nAnswer: 1116041256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728 = 5*s + 86*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 19*p**2 - 6*p**2 - 10*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t - 10. Let k be f(6). Suppose 4*z + 2*g = -z - 13, 4*g + 16 = 0. Which is the nearest to 0? (a) z (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-4*((-8)\/(-40) - 16\/(-20))) - -15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 33*f = -34*f - 3, 0 = 3*l + 4*f + 12. Which is the fourth smallest value? (a) l (b) 1\/6 (c) 5.5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 8. Let m(i) = 739*i**2 + 743*i**2 - 1481*i**2 - 5*i - 10. Calculate the remainder when m(o) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4073*w**3 + 271*w**3 - 411*w**3)*(2*w - 3*w + 2*w) + 0*w**4 - w**4 - w**4 in the form p + v*w + j*w**3 + o*w**4 + n*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4035\/80057 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 5*x - 12 = 15*g, 36 = -5*g - 35*x + 31*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*k - 21, 44856*f = 44860*f + 3*k - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/4 + 3*t**2\/2 + 15*t\/4 - 9\/2 = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuc when three letters picked without replacement from ccucuccu.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 212. Let z = 78.4 - v. Sort 3, -0.1, z in descending order.\nAnswer: 3, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10350 divided by -3\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050541 is divided by 2345.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -348*(3\/6 + (-2)\/(-12)). Let q = y + 240. Calculate the least common multiple of 143 and q.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -31. Let t be (g\/1)\/((-6)\/(-3)). Let r = t - -56. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1. Let l(q) = 5*q + 8. What is l(j) - 6*t(j)?\nAnswer: -j + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 61*w - 113. Let p be r(-59). Which is the second biggest value? (a) -2\/9 (b) p (c) 2\/17 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76465 = 22*p - 76443 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -80, -86, -72, -32?\n\"Answer: n**3 + n**2 - 30*n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15898 + -15897.92771. Round r to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 13, d: 2}. Give prob of picking 1 d and 2 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:14 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56384428.3 rounded to the nearest ten thousand?\nAnswer: 56380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/537328 and -187\/25645200?\nAnswer: 282097200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 7. Let j be (-122)\/12 - -2 - (-6)\/36. Let p be y(j). Is -67 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1. Let f(y) = -7*y - 15. Let i(b) = -20*b - 43. Let p(s) = 17*f(s) - 6*i(s). What is -5*p(a) - 15*v(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/385)\/((-6)\/(-20))*-56.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)*(1 + 8). Solve -k*c = -c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 6*o - 4*f - 17, -4*o = -2*f - 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -43 + 67 + -33.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 4, -1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 80?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/1375 - 2716\/23375. Let v be ((-384)\/(-85) - 6) + 2. Let s = j + v. Which is greater: 15 or s?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 60. Let d be (-8 - -1)*6\/63*-30. Let y be t(d). Solve -11 + 0*i**4 - 4 + 32*i - 1 - 4*i**2 - y*i**3 + 4*i**4 + 4*i**5 = 0 for i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -116950, -48 in decreasing order.\nAnswer: -4, -48, -116950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-3)\/(sqrt(512)*-4).\nAnswer: 15*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 0.5, 0.1 in ascending order.\nAnswer: 0.1, 0.5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 2\/9, 0.5 in descending order.\nAnswer: 0.5, 2\/9, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 34. Let v(k) = -11*k. Determine v(c(b)).\nAnswer: 11*b**2 - 374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8786.7 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of (6670 - (6 + -7)) + -7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 112*y - 108.\nAnswer: -4*(y + 1)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83929*k - 84909*k = 54880 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -271.3 - -40640\nAnswer: 40368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:26 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 10*m = -k - 7, -m = 4*k + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 3*b - 2. Suppose 5*z + 2*a + a = 171, 0 = -4*a - 12. Let i = -24 + z. Calculate the remainder when t(-3) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0, 4\/27, 0.22, -1, -0.1, 0.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*l + 590*l = 3*z + 1134*l + 1213, -2*l + 100 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*g + 446 = 171*g - 256. Factor 2\/5*s**4 + 0 + 0*s**g - 8\/5*s**3 + 0*s.\nAnswer: 2*s**3*(s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-2 + 2) - -4061. Suppose -12 = -4*r, 0*r = -5*u - 5*r + j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1506\/9)\/((-9)\/(-432)). Suppose -21285 - l = -19*g. List the prime factors of g.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgb when three letters picked without replacement from gabxb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139839749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 11, -11\/6, 53\/12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 10*u**2 + 16*u - 28. Let a be y(-7). Let o(d) = 0*d**3 + 0*d**3 + 2*d**2 + 3 - 8*d + 6 + 4*d**3. Is o(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*a + 6 - 8 = -3*a - 9, -4*a = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -6) + -12 + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3287 + 1031 = 65*l - 2182 for l.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -359*c**5 + 419*c**2 wrt c.\nAnswer: -21540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 146132, 145901, 145670?\n\"Answer: -231*m + 146363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-3)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 387?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2055 < -2055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102668476?\nAnswer: 2, 19, 887, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 128, -31, -1\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + 3. Let a be (-1 - -2) + 1 - -2. Suppose -a*c = -0*c - 12. What are the prime factors of b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41*3 + (-6878)\/(-3439)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o**2 + 173*o + 7. Let y be x(-14). Let t = -21 - -248. Let d = t - y. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.037, 0.2, -19086 in ascending order.\nAnswer: -19086, -0.037, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 3*u = 341, 0 = -4*b + 4*u + 344. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5\/21 (c) -13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:56 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(17) - sqrt(119)\/(sqrt(49)\/sqrt(7)))**2 - (sqrt(1088)*-3 + sqrt(17))) + 5).\nAnswer: 20 + 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + w**2 + 2. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 - 2*s + 15. Let z be r(6). Solve 0 = 3*w + z + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (372*z**2 - 105*z**2 + 63*z**2)*(2 - 2 - z) + 943*z**3 + 3*z**2 + z**2 - 960*z**3 to t + g*z**2 + h*z + m*z**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.833479nm to centimeters.\nAnswer: 0.0000007833479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -110, -215, -352, -521?\n\"Answer: -16*s**2 - 25*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 40558\/105. Let u = -386 + v. Suppose -14\/3*i**2 + 0 - u*i**3 - 4*i = 0. What is i?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 1\/4*q**2 - 27\/2 + 25\/4*q = 0.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 47. Which is the smallest value? (a) -6\/5 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5\/(-2) + -1)*(-31816)\/287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 12. Let s be c(-9). Let d = 2 - 4. Is 75 - s\/((-6)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150.1 - 150.1. What is the closest to -1 in z, -13, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1. Let q(a) = -3*a + 6. Let w(h) = -h**3 - h**2 - h + 4. Let y be w(0). Let l(o) = y*d(o) + q(o). Differentiate l(n) with respect to n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10454*f**2*x*z**2 - 6*f**2*z**2 + 2*f**2*z + f*x + 2*f*z + 206*x*z - 40 wrt z?\nAnswer: -20908*f**2*x - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.55 + 0.05. Let w = -0.5 - g. Put 2, 4, w in ascending order.\nAnswer: 2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 31*y + 12*y + 18*y + 20. Calculate f(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -76. Let l be 2\/3*36\/(-8). Sort -5, l, f.\nAnswer: -5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c = 2. Let s be (-10)\/(-25) - c\/(-5). Suppose j - 279 = -s*j. What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67004*c + 24827*c + 31004*c.\nAnswer: -11173*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 26906*l + 188343. Determine i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -44*p + 47*p. Solve -3 = -2*t + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76791*0.886\nAnswer: -0.68036826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 7*y + 2. Let b be t(-7). Let h(l) = 2 + l - 2. Determine h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:03 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -62*z**3 - 12*z**2 + 7*z + 31. Suppose -3*f - 2*o + 2 = -4*f, 0 = -f - o - 8. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*u - 17*u + 5*c - 31, u - 10 = -2*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-51)\/4)\/(45\/(-600)*-5). Which is greater: u or -239\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 115*w**4 + 32*w**3 + 50*w + 25*w**5 - 111*w**2 - 4*w**2 - 107*w**3 = 0?\nAnswer: -5, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-440)*-30)\/((-182)\/104)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2\/7*a**3 - 2\/7*a - 2\/7*a**2 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*w**2 - 92*w**2 + 24*w**2)*(1 - 3 + 7) - 2*w**2 - 2*w**2 + 2*w**2 - w**2 - 3 + 3 as j + i*w + x*w**2 and give x.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 49799*c - 5. Let y be d(-5). What is y rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*i - 72*i - 29 = -3*a, 4*a + 2*i = 38 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -9 (c) -5 (d) 19 (e) 2460 (f) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -63578868?\nAnswer: -63578871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -49*f - 1. Let r be i(-1). Let y be (-1341)\/28 + 2\/(-8). Let j = r + y. Which is the second biggest value? (a) 0 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(35 + 15*z - 35) to the form x*z + d and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**2 - 21*q. Let h(p) = 62*p**2 + 119*p. Let w(x) = 6*h(x) + 34*i(x). Let u(r) = -4*r + 311. What is u(w(s))?\nAnswer: 8*s**2 + 311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 4, k: 2, j: 2}. Give prob of picking 1 j and 1 c.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 7259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -249 + 3*j**2 + 274 - 2*j**2 in the form y + k*j**2 + x*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/252 - (38\/18 - 2). Which is smaller: 2.63 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Let i(r) = -51414*r**2 + 363*r - 363. Let t(u) = 565*u**2 - 4*u + 4. Let z(n) = -4*i(n) - 363*t(n). What is z(g(m))?\nAnswer: 2244*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 2 = -4*a + 3*m, -2*m = 5*a. What is the common denominator of -47\/22 and a\/3 - 602\/12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -10) + (-7 - -3) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (8 + -5 - 3) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = c, 0*c + 90 = -5*c - 3*i. Let v = c + 14. Sort -3, v, 0 in descending order.\nAnswer: 0, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-2*y - 3*y + 4*y) + 0*y + 0*y + y + 1 + y - 1 + (y - y + 2*y)*(0 - 1 + 0) in the form z*y + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l + 16*l - 16*l - 18*l + 32*l.\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -247, -6\/7, 3, -4, 1.09, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62386.\nAnswer: 2, 31193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 31*g**2 + 87*g + 65. Determine d(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/4 - 339*g**4 + 4107*g**3\/4 + 1365*g**2 = 0. What is g?\nAnswer: -455, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:16 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -11 (b) -2\/7 (c) 0.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125624 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -21, -5.\nAnswer: -21, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 16*g + 7*g + 10*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/18835 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -386\nAnswer: -77.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**3 - 9*j**3 + 6*j**3)*(2*j + 1 - 1)*(1 + 4*j - 1) - 4*j + 2*j**5 + 4*j.\nAnswer: -86*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213.755 + -213. Round o to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, m: 4, a: 10, s: 1}. What is prob of picking 3 a and 1 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*n + 8*n - 276004 = 0, 3*k - 207003 = -2*n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*5)\/((sqrt(28)\/sqrt(4) - sqrt(7) - sqrt(7))*3).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22559946 to the nearest integer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = 4*c - 35, 4*n + 20 = 4*c. Let d(b) = 2*b + 9. What is the tens digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26.42002 centuries?\nAnswer: 264.2002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/20 + f**4\/12 - f**3\/6 + 5*f**2 - 17*f. Let j be z(0). What is the greatest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d - 2*d - 5*d)*(4 + 0 - 3)*(-4 + 4 + 1)*(-1 + 1 - 2)*(9 - 4 + 4) to h*d + z and give h.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 - -1718\/7. Let o = 28.712 - 28.012. What is the closest to -3 in o, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -244340, -244326, -244288, -244214, -244092?\n\"Answer: 2*y**3 - 244342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m + 4, 0 = 4*v + 4*m - 492. Calculate the greatest common factor of v and 1159.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171506653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = -12*p - 19*p + 1123 + 1172 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 4*c**2 - 12*c + 5. Let z be y(5). Let h = z + -2. Calculate the highest common factor of h and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 5*l + 5. Let r be v(5). Suppose -2*o + 2*u - 3*u + r = 0, -8 = -2*o - 4*u. Let h = -9 - -27. Calculate the lowest common multiple of h and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17696623003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 21*s + 29. What is the remainder when h(-23) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s + 6*s**2 - 1 - 9*s**2 + 0 + 5*s to the form v*s**2 + h + d*s and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43071408 divided by 6.\nAnswer: 7178568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -11*j + 3*j. Which is the closest to -1? (a) 2\/9 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/(i*i\/i**(-2\/5)*i))**(1\/12)*(i**0*i*i*i*i**(-4))\/(i**(2\/7)\/i**0) assuming i is positive.\nAnswer: i**(-589\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67883 and 71.\nAnswer: 4819693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-117)\/63)\/(3\/(-6))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyddddd. Give prob of picking 2 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 7) to base 9\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 1. Let x be 5\/((-2)\/(-6)*3). Sort g, -1, x in increasing order.\nAnswer: -1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9 = 3*v, 0 = -2*k - 13*v + 10*v + 18. Suppose k*m = m + f - 1, m - 17 = -3*f. Solve 4*c + 0 - 20 = -4*d, 2*c + m = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(182\/21)*2\/33\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(152)*1)\/(-2*sqrt(392) - sqrt(392)))**2.\nAnswer: 19\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2 (c) 3 (d) -5 (e) 177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3717, 28969, 75755, 144075, 233929, 345317?\nAnswer: 478239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(720) + sqrt(720)*-2 + -3 - -1*((sqrt(720) - (sqrt(720) - (sqrt(720) + -1) - sqrt(720))*-3) + sqrt(720))) + -2)**2 + -2.\nAnswer: -144*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6623741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4141 divided by 4141?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(1 + -1 - -18). Let a = 40 - b. Solve -10 = -3*k - a*l, -5*k + 5 = 4*l - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 0*i - 4*i**2 - 958*i**3 + 2*i.\nAnswer: -958*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -6) + -6 - -5) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20382 (base 9) in base 6?\nAnswer: -142115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 16, d + 3*j = 2 - 2 + 6 + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 11) in base 14?\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - d + 2. Suppose 0*f - 21 = 3*b + 3*f, -3*b + 7 = -4*f. Let r be q(b). Suppose s - 3*v - r = 2*v, -2*s - v = -104. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 101 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y, 1096*x - 12 = 1100*x - 3*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2056381 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 9:45 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 683.726 to the nearest 10.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -151, -299, -535, -871, -1319, -1891?\n\"Answer: -2*l**3 - 26*l**2 + 20*l - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14166 (b) -9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1773*d**4 + 95 wrt d?\nAnswer: 7092*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/24 and 89\/17412.\nAnswer: 34824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.0459106 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17563583 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, z: 2}. Give prob of picking 1 k and 1 z.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 2193 + w**2 + 6538*w**3 + 0*w**2 - 2192.\nAnswer: 6538*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/17)*a**(-2\/67))\/(a*a**(3\/7)\/a*a)**(-41) assuming a is positive.\nAnswer: a**(467690\/7973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p. What is u(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2587 + -2573. Let z(h) = h - 8. Let o be z(10). What is the third derivative of -8*f**2 + 7*f**o + 38*f**5 + 2*f**2 + i*f**2 wrt f?\nAnswer: 2280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128907 and 1116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j + 3*x - 3 = 0, -5 = 5*x. Suppose -j*o - 86 = -0. Let p = 65 + o. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(1\/24). Let w(m) = -m**3 + 48*m**2 + 43*m - 398. Let t be w(49). What are the prime factors of t\/f + 28\/12 + -3?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t + 58. Let s(p) = -p. Calculate -k(o) - 6*s(o).\nAnswer: o - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 82. Let s be (-32)\/t - (-406)\/(-10). Let j = s + 133. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 - -4b6?\nAnswer: 40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2. Let r(p) = 43*p**2. Give x(r(m)).\nAnswer: 7396*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.066 and 1639.\nAnswer: 108.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.8011t to micrograms.\nAnswer: 705801100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560931 - 4832.5?\nAnswer: 9556098.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c + 170 = -7*c, -20 = 5*c. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 + 474?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 94 - 186 - 128*f.\nAnswer: -128*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53972 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71253755 + 3?\nAnswer: -71253752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16923592 and -0.4.\nAnswer: 16923591.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -0*t. Let k be (4 - 1) + -1 + 8. Let y = k - t. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = 3*y, 0 = 3*y + 1 - 4. Suppose a - 4*n + 10 = -7, -q*n = -20. Let p be 4\/a + 8\/12. Solve 0*x = p*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/9 and (-2)\/(-5) + 680063\/(-1507695).\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 6 = -2*u - 5*r - 1, -5*u - 74 = 2*r - 6*r for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*m + 63, -m + 89 = 5*l - 0*l. Let p(c) = c + 37*c - 12*c - 10*c + l*c. Let y(h) = -2*h + 0 + 0. Give y(p(n)).\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and -1179691.\nAnswer: -18875056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/9 - 3\/(-9). Let w = k + 4. Find the first derivative of -3*u**w - 26*u + 26*u - 1 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*l - 4, -81*l + 46*l + 3 + 15 = -32*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -30202010 (base 4) to base 12\nAnswer: -25858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -816, -839, -866, -897, -932?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 5. Let z = 658 - 651. Suppose z*n - 72 = -65. Let c(x) = -2 + 3*x - 2*x + 3. Give n*t(k) + 6*c(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*x**4 + 6*x**2 + 1397.\nAnswer: 48*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*d + 7*d + 51 - 51 as a*d + h and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 - 1 = 0. Suppose 3*s + 5*c + 0*c + 15 = 0, -v*s - 2*c - 20 = 0. What is the closest to 0.3 in -2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -395995.\nAnswer: 158398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -88, -127, -166?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 27 - 3 = 0. Let o be (f\/9 - 1)*-3. Suppose -21 = -o*y + 4*q, -2*q + 4*q = -4*y - 4. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -238*w**2 - 41*w. Let y(g) = -344*g**2 - 61*g - 1. Let q(h) = -13*u(h) + 9*y(h). What is q(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/(sqrt(864)*-1))\/(sqrt(24)\/(sqrt(4) - ((sqrt(4) + sqrt(8)\/sqrt(2))*-1 + sqrt(4)))) + -5)**2.\nAnswer: 5*sqrt(2)\/3 + 451\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (5 - 0)) + (-3 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**3 - 26. Let q(i) = -4*i**2. Let k(u) = 3*u**2. Let r(y) = -5*k(y) - 4*q(y). Give r(h(s)).\nAnswer: 81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 819203747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 850 and 1326?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.34549 + 0.43579. Is b != 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10452734657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 19444684.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55983246?\nAnswer: 2, 3, 11, 191, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8212249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 915.2 + 327518508.\nAnswer: 327519423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12459 is divided by 5050?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.556 and -0.09.\nAnswer: -3.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 34*w - 30*w. What is the smallest common multiple of 30 and (-4*6\/(-24))\/(2\/w)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*c - 69*c - 87*c + 3 + 306*c - 71*c + 1.\nAnswer: 11*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 7) + (10 - -2). Let l(i) = -7*i**2 + 10*i + 7. Let q(p) = 6*p**2 - 9*p - 7. Let a(k) = -5*l(k) - 6*q(k). Determine a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-2)\/(-33) + 18\/(-99). Let b(q) = q**2 + 2. What is the units digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 321489*a**4 - 2268*a**3 + 4*a**2 = 0?\nAnswer: 0, 2\/567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6153500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*k + 321, 3*k + o + 0*o + 179 = 0. Let x = 59 + k. What are the prime factors of x\/(-3)*624\/32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7127 is divided by 1423.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - a**3 + a**3)*(-a + a - a) + 3*a**4 + 0*a**4 - 2*a**4 + 2*a**3.\nAnswer: 4*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1365 and -137\/3217578.\nAnswer: 16087890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 31, 70, 125, 196, 283, 386?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-33)\/22*(-2)\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 582 + 117. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 - 486*i**3 + 961*i**2 + 3384*i + 1936 = 0. What is i?\nAnswer: -1, 4, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z - 5. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*o - 27 - 58, o = -3*x. Suppose o = -12*s + 63. Solve s = -g - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3145483 and 99?\nAnswer: 28309347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/9)*m\/(m\/m**16))\/(m**(2\/11)*m\/m**(-1\/12)) assuming m is positive.\nAnswer: m**(6275\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 979869821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8*h + 325. Determine n, given that 83 - 15*n**4 + 70*n**3 - h*n**2 - 175 - 26*n - 4*n + 92 = 0.\nAnswer: -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481 - 238 - 243 - 3*q**3 + 0*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4 - 46 + 6*u**3 in the form r + f*u**3 + c*u**2 + y*u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + -12?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142413 is divided by 571152.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13667 by -2.\nAnswer: 13667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -40. Let n = z - -119. Solve -2*a = 2*b - 0 - 4, 2*a = -5*b + n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(3\/837) - -4) + -1. Let h be 1\/(2*(-3)\/(-48)). Is (92\/(-6))\/(h\/j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -33.56.\nAnswer: -31.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232389, -232387, -232383, -232377, -232369, -232359, -232347?\nAnswer: -232333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 29 + 22. Solve -3*r - c = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 523\/(-28765) + 2\/((-20)\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 26 = -5*f + 101, 2*g = f - 16. Suppose 18*a = f*a - 288. Let w = -69 - a. Solve w*p = -0*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 18 = 3*d. Suppose 0 = 3*n - 4*g - 4, -5*n + 14 = -d*g + 3*g. Let w = 56 - 53. Solve -w*z = -n + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 81\/4 of a week?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3083139 is divided by 134049.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-3*(-1)\/2. Let i be 3 + -2 - (-2 - 1). What is the second derivative of -5*h + t*h + i*h - h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64054201 (base 7) to base 4\nAnswer: -110230202302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + (-2 - (-1 + 2)). Suppose 7 = -z - y. List the prime factors of 2\/(-5) - 348\/z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 1*3*4. Suppose -3*f = -6 + 84. Let o = h - f. Solve k - 3*g - 19 = g, -3*k - 5*g = o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 893971 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -333, -1336, -3015, -5376, -8425?\n\"Answer: -g**3 - 332*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -550 + 573. What is the remainder when 573 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**6\/6 + 2*j**5\/5 - 9*j**4\/4 - 2*j**3\/3 + 4*j**2 - 9. Find v such that x(v) = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12020 - -23?\nAnswer: -11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvyvfyy. What is prob of picking 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -276, -3, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) -0.1 (d) -1 (e) 16\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*x = 3*x + 19, -2*i + 4*x = -22. Let l = 10 + -7. Suppose 3*u = l + 12. Solve 0 = i*y - u*p - 10, -2*y - 4*p = y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12418?\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 1, t: 1}. Give prob of sequence wty.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 - t**2 + 5*t**3 - t**3 - 2*t**2 to the form n*t + p*t**2 + d + h*t**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 0.093 (c) 0.5 (d) 3\/803 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38*0.18.\nAnswer: 0.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.831 + 8.841. What is the smallest value in c, -2\/5, -1, 17\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/30 + (-104)\/(-33) - 4. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4324, -17372, -39126, -69586, -108752?\nAnswer: -156624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*15*30\/(-100).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -263 - -788. Suppose f + i = m - 2*f, -3*m = 3*f - 1623. Let r = m - 140. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 4.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 669430, 2677745, 6024942, 10711021, 16735982, 24099825, 32802550?\nAnswer: 42844157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b - 8. Let r be 1 - -7 - (-4 - b). Let g(k) = -k**3 + 6*k**2 + 8*k - 7. Let q be g(r). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/3)*d)\/d)\/(d**0\/d))**(-25)\/(d\/d**(5\/4)*d*(d*d\/(d*d**(-3))*d*d)\/d*(d*d*d**(-6))\/d*d*d\/(d**(-2\/19)*d*d*d)) assuming d is positive.\nAnswer: d**(-3767\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-2))\/(-9) + 7\/(-10). What is the biggest value in q, 0.3, -5\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491155360 to the power of 1\/2, to the nearest integer?\nAnswer: 38615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 30900384*u + 238708432836864 = 0. Calculate u.\nAnswer: -15450192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23290)\/(-680))\/(2\/270) + 2\/8. What is the highest common divisor of g and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -5*y**4\/12 + 23*y**3\/3 - 5*y**2 + 818*y. Determine d(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 2*g**2 + 6*g**2 + (67 - 67 - 5*g**2)*(-3 + 0 - 1).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 177*l**3 - 4*l**2 + l + 2. Let y be m(2). Let j = -632 + y. Is 16 a factor of 50\/(-75) - (-1)\/(6\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -360\/1181 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 + v + 2*v - v. Suppose 220 = -93*w + 127. What is p(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avsiaha. Give prob of picking 1 v and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 - 0.3?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 495, 1277, 2789, 5271, 8963, 14105?\nAnswer: 20937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from aayazayyzayha.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1137.712 and -0.57.\nAnswer: 1137.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -22*(-4)\/(-3)*36\/96. Suppose 0 = -2*a + 43 + 37. Let p = a - b. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + -17551?\nAnswer: -17579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5110514 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7*l - 2*l - 5 = 0, 3*l = -3*m + 3. Let f = 2 - m. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(-1) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 11*t**2. Let l(g) = -g**2 - 1. Let w(j) = -8*j**2 - 5. Let z(c) = 5*l(c) - w(c). What is z(i(n))?\nAnswer: 363*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*l + 120 - 10896*l**2 + 21785*l**2 - 10884*l**2.\nAnswer: 5*(l - 6)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (8\/(-14))\/((-23 - -3)\/666260)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + -2*(sqrt(3) - (sqrt(3) + -2)) + (sqrt(147) + -2 - sqrt(147)))**2 + ((1*sqrt(132) - sqrt(132))\/sqrt(11) + sqrt(12) - -3*sqrt(12)*1)**2.\nAnswer: -20*sqrt(3) + 295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6fd + -fbaa?\nAnswer: -102a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3220403950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e + -24e36?\nAnswer: -24db7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(21*n - 4*n + 17*n)*(-2*n - 2 + 2)*(-1 - 2*n + 1)*(15*n - 3 + 18*n - 29*n) in the form y*n**4 + r + s*n**2 + u*n**3 + f*n and give y.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 30. Let q = -12.91 + j. Let s = 0.0852 - q. What is s rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95455\/(-706367)*2*(-9)\/(-30)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*-596364\nAnswer: -596364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234, 1988, 6780, 16128, 31550, 54564, 86688?\n\"Answer: 253*s**3 + s**2 - 20*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -402732*i - 5*i**2 + 2 + 201367*i + 201362*i. Suppose -3*a - 1 = 2*k, -k - 15 = -5*a + 4*k. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-20))\/((-2)\/(-10)). Suppose -p*i - 3 - 13 = 0. Let g = i + 9. Solve -l + 8 = -g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470828348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 168*m**3 + 3840*m**2 - 8192*m - 786432.\nAnswer: 2*(m - 12)*(m + 32)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*j + 333*j + 339*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -146*(-3)\/12*2. Suppose l + y = 123. Suppose 10*x = -0*x + l. What is the remainder when 56 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.6 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 399, 4, 3, 2 in descending order.\nAnswer: 399, 4, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9451395*h**2 - 3459912?\nAnswer: -18902790*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5.6. Let l = -27775 - -27774.8. Sort n, l, 25 in decreasing order.\nAnswer: 25, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -334112, -1336572, -3007338, -5346410, -8353788, -12029472, -16373462?\n\"Answer: -334153*r**2 - r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 4*u + 4. Let h(c) = 2*c**2 + 3*c - 3. Calculate -5*h(x) - 4*t(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105492 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**12*s*s**(-15)*s**(-2\/7) assuming s is positive.\nAnswer: s**(-268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**7\/210 + l**6\/2 - l**5\/20 - 29*l**4\/12 - l**2 + 395. Find the third derivative of a(y) wrt y.\nAnswer: -24*y + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(216)*-1 + sqrt(216))\/sqrt(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*16\/(400\/55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let d(m) = -217*m**2 - m. Give w(d(t)).\nAnswer: -47089*t**4 - 434*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*c*q**2 - c*q - 8*c + 3*q**2 - 2*q wrt q?\nAnswer: 116*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66091 is divided by 65983.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h**2 - 2100*h - 2100. Determine q(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 69. Let q(o) be the second derivative of -o**5\/20 + o**4\/3 - o**3\/6 + 4*o. Let b be q(f). Calculate the highest common factor of 30 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3*d - 5. Let g(p) = 5*p + 223. Let w be (-186)\/4 + 35\/14. Let h be g(w). Let v(o) = 3*o**2 - 3*o - 4. What is h*q(y) - 4*v(y)?\nAnswer: -3*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 - -13. Is n <= 138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1185, -1459, -1733, -2007, -2281?\n\"Answer: -274*c - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v - 56*v - 86 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 65*d**3 - d**2 + d - 1. Let y(v) = v - 8. Let b be y(9). Is 22 a factor of r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 21*d**2 - 2*d + 128. Is s(-11) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.18, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 2*i - 8. Let l(c) = 151*c - 908. Let v be l(6). Let r(z) = -2*z**2 - z - 4. Give v*y(q) + 5*r(q).\nAnswer: -2*q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2835\/13, 4, 2, -1\/99, 0.5?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = m + 12, 5*b + m + 4 = -12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -110\/9, -159 in increasing order.\nAnswer: -159, -110\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122af (base 16) to base 11.\nAnswer: 50a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 751481232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, -3007, -7049, -12783, -20209, -29327, -40137?\nAnswer: -52639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13065*a**4*u - 8*a**2*u - 833*a*u + 21091119*u + 4 wrt a?\nAnswer: -52260*a**3*u - 16*a*u - 833*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011316 rounded to seven decimal places?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.1, 5, 0, 32\/17 in increasing order.\nAnswer: -1\/5, 0, 0.1, 32\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5*k + 17 = 0, 13*i - 10*i + 115879*k - 115880*k - 17 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15 + 14 + 1 + -1. Let c = 11 - y. Sort c, -3, 5 in decreasing order.\nAnswer: c, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 4*w - 3. Let h be a(5). Let j = 16 + h. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by 1875412?\nAnswer: -4\/66979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 10. Let y(l) = -l**2 + 6*l - 3. Let t be y(o). Suppose 0 = t*j + 3*j - 30. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - t + 1. Let l be h(1). Suppose 0 = -4*j - l*q + 36, -4*j + 16 = -4*q + 2*q. What is the smallest common multiple of 11 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2487 - 850. What is the remainder when u is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298\/(-68) - (-84)\/(-714) - -7)*-6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005588325995 rounded to six dps?\nAnswer: -0.000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 0.29\nAnswer: -11.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 1:09 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 20. Let d be z(-8). Let g(p) = -4*p - 29. Does 19 divide g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 36\/21 - 2085\/1344 and -53\/2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 96*n**2 + 531*n - 52. Calculate v(-90).\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*s - 280 = 0, -k + 5*s = -42 - 26. Let v be k\/40 - (-1)\/(-5). Let i = -3 - -6. Solve -n = 3*n - v*t, -i*t = 4*n - 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1103\/(-3) - (-17)\/(-51). Let z = f + 60. Is 13 a factor of z\/(-12) + (-8)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmmm when four letters picked without replacement from {m: 7, v: 1, l: 6}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-855)\/(-90))\/((-26)\/52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + o + o + 9. Suppose 4*p + 40 = -p. What is the units digit of h(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2339672 divided by -4?\nAnswer: 584918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 6 = 9*p. Solve p*i = 1 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*c - 2 + 1, k + 2*c = -11. Let b be (-12)\/(-18) + 14\/k. What are the prime factors of b\/14 + (-156)\/(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a**3*d - a**3 - 5*d + 668 wrt d.\nAnswer: -7*a**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4+227\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least 7.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h - 2. Suppose 9 = 5*v + 39. What are the prime factors of n(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 450, 1771, 3972, 7053, 11014?\n\"Answer: 440*m**2 + m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(3) - (sqrt(27) + sqrt(27) + 2 + sqrt(27))) - (sqrt(363) + (sqrt(363) + (sqrt(363) - 1*sqrt(363)))**2) - (sqrt(3)*1*5 + sqrt(243) + -1).\nAnswer: -360 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -15.35?\nAnswer: -322.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)*q**(-2)*q**(-5)*(q*q*q**(-11))\/q assuming q is positive.\nAnswer: q**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 263595658 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/16)\/((42\/(-4))\/7). What is the closest to 0 in 6, -2, -19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 778 - 517. Suppose 0 = 5*l - r - 64. Let m be (13\/l)\/((-2)\/(-5)). Which is smaller: 8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 19*n = 35450. List the prime factors of n.\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1\/3 (c) -1\/9 (d) 1 (e) -313\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 26 + 38. What is the remainder when x is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**3 - 3*h**2 - 3*h - 2. Let q be u(-2). What is the greatest common factor of q and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 22*o + 73. What is j(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-5)*(-20)\/(-6). Let d(w) = -w - 1. Let u be d(n). Suppose m - 4*m + u = 0. Solve 4*r - 3*f - 5 = 5*r, -2*r = -3*f + m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, k: 2, z: 2, q: 1, b: 1}. Give prob of picking 1 p and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2129*k**6 + 1122*k**2.\nAnswer: 255480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n + 1. Let b(l) = 68*l - 4. Let r(u) = 9*a(u) + 2*b(u). List the prime factors of r(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -909 - 2471?\nAnswer: -3380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*v + 3*v - 2*h + 112 = 165, -12*v - 2*h - 188 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19425 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 2618147?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1069*i**2 + 12*i - 29. Let s be d(3). Let w = s - 5001. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48788.9 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4\/7*s - 2\/7*s**3 + 10\/7*s**2 - 16\/7 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 4*t**3 - 3*t**3)*(4 - 4 + t) + t**4 + 3*t**4 - t**4 - 25181*t**3 + 25181*t**3 + 400*t**4.\nAnswer: 405*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 = -2*y - 1, 5*l - y - 11 = 0. Let t(r) = -l*r**2 + 0 + 2 - 3*r**2 + 7*r**2. Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let p be 1*(4\/(-40) + 0). Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*j - j. Calculate the smallest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -55 - 25. Let w = 30 + f. Solve j = -j - w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4286239*j**3*u - 36*j**2*u + j**2 - 12*j*u - 415*u + 1 wrt j?\nAnswer: -25717434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/387 and 101\/12.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {o: 1, q: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -23\/6*u**2 + 22\/3*u + 1\/9*u**3 - 113. Factor a(y).\nAnswer: (y - 22)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 5. Suppose z - 6*q = 3*z - 16, 20 = 5*z + 5*q. What is a(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + p - 2*p + 36, -5*w = 5*p - 70. Let l = w - 136. Let q = -77 - l. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 137689734.\nAnswer: -1\/68844867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 20*q**5 + 125\/21*q**7 + 0 + 0*q + 40\/3*q**4 - 3*q**2 + 50\/3*q**6 + 16\/3*q**3. Find z, given that k(z) = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.877*3.\nAnswer: 275.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9433*z**2 + 2*z. Let g(o) = -o. What is h(g(a))?\nAnswer: 9433*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-4)*c*c**(4\/3)*c)\/(c**(-5)*c**4))\/(((c\/c**(2\/13)*c)\/c)\/c*c\/c**(1\/4)*c**(3\/2)*c*c\/c**(-2\/5)*c) assuming c is positive.\nAnswer: c**(3773\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/((-2508)\/16) - 1120\/(-2233)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + (sqrt(288)*-4 - sqrt(288))**2 - sqrt(2)).\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 = -6*d + 3*d. Suppose 10*o - 3*o = d. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.06 + 166. Let k be (-18)\/14 - (-4)\/14. Which is the third biggest value? (a) k (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4 + 25. Let h(u) be the first derivative of u**3\/3 + 2*u**2 - 20*u - 18. Calculate the remainder when j is divided by h(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 + 5585*y - 5586 = 0. What is y?\nAnswer: -5586, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1740198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + 1. Let m = 160.713 - -0.187. Let j = m + -161. Which is the closest to j? (a) 0.2 (b) -1\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.02 + 6.1. Let p = i - -11. Let d = p - 1.08. Which is the second biggest value? (a) 0 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**4 - 687*r**3 + 1170*r.\nAnswer: 24*r**2 - 4122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101001 - -2221210?\nAnswer: 1120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87732?\nAnswer: 2, 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-200))\/(104\/((-1343680)\/255))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-18))\/((-1)\/(-12)*176\/(-88))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + y = -2*k, -2*y = 5*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 43*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43715, 38387, 33059, 27731?\n\"Answer: -5328*l + 49043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*648\/720\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -615 - -7734167?\nAnswer: 7733352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 6*k + 33*k - 6*k + k**2 to the form i*k + c*k**2 + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990870744 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7) - (-340)\/(-238).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 83950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bc17b3 + -4?\nAnswer: 2bc17ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbb when four letters picked without replacement from uufbffbuubuf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 0 - 13*y + 9*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 5*m + 8. Let g(i) = -i**3 - 11*i**2 + i + 16. Calculate the least common multiple of m and g(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63600875 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10060*u + 2. Let k(z) = -2*z**2. What is k(s(i))?\nAnswer: -202407200*i**2 - 80480*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1968 and 132.15?\nAnswer: 260071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i - 2. Let x = -6 + 8. Let m be l(x). Let f be m\/(-1) - (2 + (-2 - -2)). Solve c + f*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2918762362 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 571435446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -3*x + 4*j, 3*j = 0. Suppose 1167 = -2*n + 1135. What is the remainder when ((-264)\/n)\/(-1*(-3)\/8) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 9*c**2 - 8*c + 3. Let q be u(8). Suppose q*o + o - 32149988 = -5*g, 19289985 = 3*g + 5*o. Round g to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 21*s + 13. Let l(a) = 5*a + 3. What is 9*l(w) - 2*n(w)?\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276)\/(-96) - (5 - (-2 - -4)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 77*x**2 + 94*x - 11. Let w(a) = -36*a**2 - 46*a + 6. Let z(h) = 6*o(h) + 13*w(h). Calculate z(-8).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 2582*p\/9 - 2584\/9.\nAnswer: 2*(p - 1)*(p + 1292)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036 take away -332?\nAnswer: 332.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 61 - 35. Let l = q - 15. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u**3 - u**2 - u. Suppose -5*k + 15 = 5*r, -2*k - 2 = -r + 4. Let h be x(k). Let f = 31 - h. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023767273 to seven decimal places.\nAnswer: 0.0023767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2428779, -2\/5, 5, -1, 2 in descending order.\nAnswer: 2428779, 5, 2, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12242 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2336, -4684, -7032, -9380, -11728?\nAnswer: -14076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 5*c. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 737*n**3 + 3.\nAnswer: 737*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 7. Let b be x(-5). Let g = 2 + b. Suppose -5*t - 4*k + 35 = g, 2*k + k = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m - 4. Let k(g) = 6*g**2 + 18*g + 14. Let n(q) = -q**2 - 1. Let r(z) = k(z) + 3*n(z). Let y(t) = 17*l(t) + 6*r(t). Give y(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, k: 3, b: 5}. Give prob of picking 2 k and 2 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 1. Calculate l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 3. Let m be c(-8). Let g = 128 - m. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2779*g - 8331. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**7\/14 + s**6\/6 + s**5\/12 - 97*s**2. Let a(p) = 0. Calculate p.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(1 + 4 - (-27151)\/(-5434)). What is the highest common factor of v and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 + 5 + 5 + 6 - 15.\nAnswer: 19*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:56 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48456.7 (b) 2\/13 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -261 - -106. Let t = c - -93. Let f = t - -61.963. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(90) - (1*sqrt(90) + sqrt(90)) - sqrt(90))\/sqrt(9))\/(-3*sqrt(12)\/sqrt(6)) + -1))**2.\nAnswer: -100*sqrt(5)\/3 + 725\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**3 - 3*v**2 + 4*v + 7. Calculate b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131278 divided by 1177.\nAnswer: 131278\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:33 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66888035 divided by 12?\nAnswer: -66888035\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (0 + -1)\/(-14). Let w = j + -11\/7. Suppose 5*x + 6*o - 2*o - 11 = 0, 3*o - 10 = -2*x. Is x greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51389416 is divided by 6423676.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 15*g + 36 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -8*x + 100. Let u be l(6). Calculate the highest common divisor of u and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.05 + 0.05. Let t = -4.04842 - -0.04842. Suppose 0*m - 3 = -3*m. Which is the closest to m? (a) o (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1555*o - 3153*o + 1599*o. Let g(l) = 3388*l**2. Determine a(g(t)).\nAnswer: 3388*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05934 and -1.\nAnswer: -1.05934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.329 + 0.3454. Let l = -0.1864 + v. Sort 0, 1, l in decreasing order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -21 + 32 - (2 + (-4 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkmmmmmmmmmmmmmm. Give prob of sequence mmmm.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3 = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -448 + 463. Let l(y) = -5*y - 15 + 5*y + i - y**2. Let o(r) = 32*r. What is o(l(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -44774505.\nAnswer: -44774504.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25538955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -963 - -2?\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylrolnnnrnoylfo. What is prob of picking 1 n, 1 y, and 1 f?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49600800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223152 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0519 times 0.488?\nAnswer: 0.0253272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -82?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/20)\/((-10)\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-25) + 12\/5. Suppose 36 = -g*y + 6*y. Suppose 3*q = q + y. Which is bigger: 4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from nhhhnnhnhhnhn.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1049 - 1056. Let j be (-4)\/(-14) + 141\/21. Let t(u) = -u**2 + 4 + u - 3 + j - 8*u. Calculate t(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*t + 12, 2*t - 5*n - 8 = 12. What is the nearest to t in 2\/15, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1477\/(-42) + 2 + (-3)\/(-18). Let k(v) = 3*v**2. Let b(r) = 24*r**2. Calculate j*k(t) + 4*b(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 78*i - 1380. Let o be r(-27). Let w(g) = -22*g**2 - 4. Let j(c) = -21*c**2 - 3. What is o*w(k) + 4*j(k)?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**2 - 46*n - 1. Let v(k) = -46*k**2 + 147*k + 3. Give -7*f(j) - 2*v(j).\nAnswer: -13*j**2 + 28*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -64 + 59, o = -5*c + 441. Calculate the lowest common multiple of c and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1211 - 1211. Solve 5*b = j - 24 - k, 27 = -2*j - 5*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let j(b) = -1. What is 2*j(l) - k(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180145850, 360291699, 540437548?\n\"Answer: 180145849*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o + 6 = 5*l, -4*o + l = -14. Suppose 4*v = 3*z + o, 2*v = -z - 20 + 32. Put -72, 2, -2, z in decreasing order.\nAnswer: z, 2, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/20 + (1 - (-12)\/(-16)). Let j(q) = 106 - q**2 - 2*q + q - 104 - 3*q. Let m(d) = d - 1. Give a*j(i) + 6*m(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147090 and 29418?\nAnswer: 147090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5. Let d = -0.2 + -0.2. Let s(o) = 13*o + 212. Let n be s(-16). Which is the nearest to p? (a) d (b) n (c) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/11 (b) 2\/13 (c) -0.1 (d) 2\/3 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 + -5. Let w = 1376.1 + -1376. What is the third smallest value in w, b, 2\/11, 4.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 - 16 - (0 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*j**3 - 20 - 30 - 34 + 84.\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8112546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*k + 12, 3*k + 2*k = 5*y - 30. Let j be (k\/6)\/(3\/(-18)). Let x(v) = 3*v**3 - v**2 - v - 1. What are the prime factors of x(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**2 - 80*v**2 + 34*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c + 8. Suppose -3*j + 2*j = 4. Let t = j + 4. Let z be 24\/(-4) - (t + 0). Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 11, l: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3606951563 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003305775 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38\/9185, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 10) to base 12.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7168.5513 to the nearest 10.\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 5, z: 2, v: 4, p: 3, j: 5}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 7*r - 2. Let g be h(-9). Let m = 11 - g. Let x(z) = -z + 1. What is x(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8655, 8224, 7791, 7356, 6919?\n\"Answer: -r**2 - 428*r + 9084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 60. Suppose t*n - c - 202 = 18, 0 = 3*n + 5*c - 343. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145.82 + 146.82. Which is smaller: 254\/7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 1053*d - 11699. Calculate m(11).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*4*sqrt(75)*-1 + ((sqrt(75) - (0 + sqrt(75)))*-6 - (sqrt(75) + sqrt(75)*-1*5))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3332464\nAnswer: -3\/3332464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3245629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 1, z: 1, u: 1, s: 2, t: 2}. Give prob of sequence szst.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -d + 1, 5*j + 23 + 12 = 3*d. Solve -c + 4*o = -2*c + 14, -4*c + 23 = d*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/5)*d))\/d**(-4))\/((d**(-2\/7)\/d)\/d*d)**(-7\/4)*((((d*d**(-4)*d)\/d)\/d)\/(d**(-2\/3)*d))**35 assuming d is positive.\nAnswer: d**(-8983\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 883.8779 weeks in minutes?\nAnswer: 8909489.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1547845 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 3 + 6*h + 2 + (-3*h - 26*h + 4*h)*(0 + 1 + 1).\nAnswer: -47*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 25*l - 390. Solve -l = -6*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t + 4 = 35*t + 2*m, 0 = -t + 5*m - 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 106 - 36 = 0. Let o be 5\/(-25) + 272\/g. Calculate the highest common factor of o and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 23*o - 4050 = 0. Let a = 57 - o. List the prime factors of a.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3155*j**2*r**2 - j**2*r - 3*j*r**2 + 8*j*r + 4*r**2 - 45 wrt j?\nAnswer: -6310*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {s: 3, m: 4, b: 3, e: 3, p: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p - 38. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5297*q**2 - 81*q + 14. Let r be c(7). Round r to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33004 + -32999. Put 3, -5, -75, s in ascending order.\nAnswer: -75, -5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 20*w - 10. Let s be o(13). Suppose 84*q - 9*q**3 + q**4 + s - 9 + 9*q**2 - 7*q**2 = 0. What is q?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171064 + 939068. Suppose -4*g - g = -15. Let y be (-2)\/g + l\/6. Round y to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t - 14*t + 7 + 12 + 10. Let a be h(-10). Suppose -43 = -4*q + 4*f - 15, 4*q - f - a = 0. What is the closest to 0.4 in 0.1, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 841?\nAnswer: 841.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -18.2, -83.1, 4, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 413223514 - 43?\nAnswer: 413223431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3513708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*h = -191*h - 751872. Is h a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/(-12) + (-4)\/6. Solve s - o = -2*i, -i + 17 = 4*i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-9))\/(-2))\/(((-8260)\/120)\/(-59))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3297964\/7 - -471957. Suppose 1336 + 292 = 2*y. Let w = o - y. Find the common denominator of 119\/10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 551012, 551013, 551014, 551015, 551016, 551017?\n\"Answer: b + 551011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*q**2 + 3)*((-5*q + 14*q - 2*q)*(-4*q + 2*q + 3*q) + (0*q - q + 0*q)*(-1 + 1 - q) + 19*q**2 - 10*q**2 + 0*q**2).\nAnswer: -34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:39 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bobjbjddjdddodd. What is prob of picking 2 b and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 226 and 0.02308.\nAnswer: 226.02308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 1. Suppose 0 = 4*s - 15 - 5. Let u(l) = -l + 12. Let d be u(s). Give t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5292 - 3\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - -4)*4\/(-4). What is the common denominator of (-98)\/48 + 2\/p*6 and ((-274)\/(-20))\/((-6)\/5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -19*q + 2*q + 12*q + 3*z, -4*z - 12 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78815*u + 78745*u + 3800 = 1000 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 take away -652034?\nAnswer: 652033.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3 + 0*p**5 + 0*p**2 - 1\/2*p**6 + 0*p + 0*p**4 + 23. Find the third derivative of u(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21092 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) - sqrt(475)*1 - 2*sqrt(2736).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9729 and 25454025.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 628, 668, 734, 832, 968, 1148, 1378?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d - 17. Let o(c) = -c**3 + 5*c**2 + 8*c - 3. Let m be o(6). What is the tens digit of k(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i + 216. Let m = 14761 + -14781. Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 155. Let h = d + 58. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -69.00000107. Round i to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/(-40))\/((-8)\/(-300)))\/((-2)\/1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 91*u\/4 - 120.\nAnswer: (u - 5)*(u + 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -13, 38 in decreasing order.\nAnswer: 38, 31, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 477347 = 51467. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y + 3. Let h be q(-3). Sort -2\/7, h, -6 in descending order.\nAnswer: -2\/7, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8323*n**3 + 4*n + 12. Let a(h) = 3312555*h**3 + 1593*h + 4779. What is 4*a(l) - 1593*u(l)?\nAnswer: -8319*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2 = 0, -4883*b + 2444*b + 2441*b - 58 + 24 = -2*x for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-17 - 21) + (-708)\/(-30).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (-180)\/(-42). Put -1, d, 0.1 in ascending order.\nAnswer: d, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603759 is divided by 2721?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**2 - 3*h**3 + 27*h**2 + 8*h**2.\nAnswer: -3*h**3 + 112*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 96, 2, -5, 22.\nAnswer: -130, -5, 2, 22, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4698 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18396 (base 10) in base 7?\nAnswer: 104430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 - p + 4. Let t be w(-1). Which is the closest to 5\/2? (a) t (b) -2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -3 - (-2 - -1)) + 673 + -669.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.3 (c) 5 (d) 368 (e) -71 (f) -0.4 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528790 is divided by 382197.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.334856432 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3161? (a) -8616 (b) 0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-84))\/(-5)*(-1)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 5*f**3 + 2*f**3 - 4*f**3 - f**3 + 4*f**3 + (0*f - 4*f + 5*f)*(-4*f**2 + 2*f**2 - f**2))*(-49*f - 63*f + 117*f + 46).\nAnswer: -35*f**4 - 322*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -3*x**4\/2 + 16*x**3\/3 - x**2 - x + 120. Let p be m(2). Solve f + 5*d = 2*d - 5, p = -f - 5*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 24*x**2. Let d be (-1376)\/(-172)*2\/4. Let m(z) be the second derivative of 1\/12*z**d + 0*z**3 - 28*z + 0 + 0*z**2. Calculate w(m(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 + 4013111?\nAnswer: 4012562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5 + 9795*b**4 + 29412*b**3 = 0.\nAnswer: -3, 0, 3268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**6*y)**3 assuming y is positive.\nAnswer: y**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 3173.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjmuujjuedumejum. Give prob of picking 1 m and 1 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjmjmf. Give prob of sequence jm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -1\/65, 9, 4, -0.5, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -83*l**4\/24 - 83*l**3\/6 - l**2 - 16. What is the first derivative of x(d) wrt d?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3014394338 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4.4. Which is the smallest value? (a) j (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 1623 = 3*h - 1497, 0*h - 4*g + 17 = 2*h - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 157*p - 87*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkubbrkkrcokr. What is prob of sequence ou?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*i + 8 = -133*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33110 (base 4) to base 12.\nAnswer: -698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000010011 - -110110000?\nAnswer: 10001111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4 - 8. Let u(d) = d + 3. Let b be u(2). What is the second derivative of -x*f**5 - 4*f**b - 19*f + 2*f**5 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 246. Suppose 5*l + 3*o - 60 = 0, 0 = 2*o - 15 + m. Solve -l*k - 10 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsss when four letters picked without replacement from {z: 2, s: 5, g: 5}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2980, 3018, 3056, 3094, 3132, 3170?\n\"Answer: 38*n + 2942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.066 + -0.566. Suppose 0*g = -5*g + 5, 3*p = 5*g - 11. Sort y, p, 4, -1 in descending order.\nAnswer: 4, y, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxdtxtsjssxtxsh. What is prob of sequence xdts?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bbe18 (base 15) to base 2.\nAnswer: -1000000100100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4 + 2796967*k**3 - 4226101*k**2.\nAnswer: -24*k + 16781802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-269)\/(-5) + 3\/15. Suppose -k = v + 8*v. Is (-3804)\/(-8)*v\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3171, -6241, -9311, -12381?\nAnswer: -15451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.43332669\nAnswer: -0.06667331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56612 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.119 take away 7.745?\nAnswer: -0.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -58, -78, -106?\n\"Answer: -4*n**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2365613?\nAnswer: 2365613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -0.2, 2\/35, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121186*a**2*b*c + 2*a**2*b + a**2*c + 3*a**2 + 44*a*b*c - 5*a*b + a*c + 2*a + 771*b*c - 2 wrt a?\nAnswer: 242372*b*c + 4*b + 2*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:16 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114156 by 378.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -29. Let t = q - -60.03. Let u = -0.02 - t. What is the second biggest value in u, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1623*x + 72 - 318*x + 97 - 169 as g + z*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**3*l**3 + 43*d**3*l**2 - 9*l**3 - 41 with respect to d.\nAnswer: -24*d**2*l**3 + 129*d**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -43.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101.85226 + -33.15\nAnswer: -135.00226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 - y**2. Let j be z(-1). What is the second derivative of 6*n - 3 + 2*n**j + 3 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18*-3*82\/(-1353)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r + 1\/3*r**3 - 13\/20*r**5 + 0 - 1\/2*r**2 + 1\/3*r**4. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 5, -1\/7, -1, -5, -6, -0.151?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*o - 12, -14*h + 5*o - 24 = -10*h. Sort h, 0.4, 2\/55, -11.\nAnswer: -11, h, 2\/55, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342101 (base 8) in base 12?\nAnswer: 162855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4956*z - 19305*z = 1463598 for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwrgqwwggw. What is prob of sequence wq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -3\/52 (c) -11.444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 12, m: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**4\/3 + 40*p**3 + 112*p**2 + 328*p\/3 + 36 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 1. Let p be z(4). Let k = 35 + p. Calculate the remainder when k is divided by (-20)\/12*(-54)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l*l\/(l*l**(-5)*l)*(l**(1\/2))**(-1))\/(l\/(l*l**(1\/10)\/l)*l**(-1)*l)**(-5\/2) assuming l is positive.\nAnswer: l**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -954*a + 4. Let t be d(-1). Suppose 9*r + t - 2983 = 0. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -0*m. Suppose m = -i - 1. Is ((-26)\/6)\/(i\/63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulfazaw. Give prob of sequence uawz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2753323841 + 2753323841 + 30*m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50016.1526 rounded to the nearest 1000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 10*y**2 - 10*y + 13. Let f be i(9). Suppose f*k - 153 = 75. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1088159, 1088162, 1088167, 1088174, 1088183, 1088194, 1088207?\nAnswer: 1088222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -48 + 20 - -15 - 21\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, and 1 h when three letters picked without replacement from {r: 3, a: 1, h: 6, v: 2, b: 4}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiixxxiii?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i**5\/i)**27*i**(-1)*i**(-5\/2)*(((i**0*i)\/i)\/i)**(-12) assuming i is positive.\nAnswer: i**(1739\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*h + 17 + 24 + 25 - 66.\nAnswer: 839*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 1143 in descending order.\nAnswer: 1143, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r)*(19 - 19 - 7*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i**3 - 3*i**3 - i**3)*(1 - 1 + 2*i) + 2*i**4 + 4*i**2 - 4*i**2)*(-1096*i + 2187*i - 102 - 1097*i).\nAnswer: -24*i**5 - 408*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + (-19179)\/(-81). Suppose -h = -2*b + b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/16, 2\/5, 2\/12965, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 205, -1819 in descending order.\nAnswer: 205, 15, -1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 836035362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -661*t + 6. Calculate u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z**2 - 421*z - 1444. What is o(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 2*x, -3*r = -2*r - 2*x - 11 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (1 + 0 + 4 + -20) - (-1 - -38).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f + 11. Let q be u(0). Let y(m) = m**3 - 12*m**2 + 12*m - 12. Let l be y(q). Is l at least as big as -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 121875*f**3 - f**2 - 5*f - 4. Suppose 5*p = -2*c + 5*c + 33, -3*p - 4*c = -14. Let b = -10 + p. Let y be o(b). Round y to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1 - (-55 - -54)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 + 5*c**4\/24 - c**3\/6 + 3*c**2 - 1. Let r be y(5). Sort 1, -0.8, r.\nAnswer: r, -0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10035230\/17 + -305258297\/510. Let z = 8244 + g. What is the common denominator of -5\/9 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734.41878 rounded to one dp?\nAnswer: -734.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -379*3\/(-12) + (-2)\/(-8). Let l = -93 + y. What is the third derivative of -i**2 - 23*i**4 - 96 - 17*i**l + 96 wrt i?\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 + 7*m + 3. Let q(y) = 4*y + 4 - 3 - 1083*y**2 + 1090*y**2. Give 4*l(x) - 7*q(x).\nAnswer: 3*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-8)*(-15)\/80?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 165. Let a be u(35). Let b(t) = -t**3 - 10*t**2 - 4. Calculate b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g**4 + 2*g**3 - 30*g**2 + 30*g**2 + 2 to the form x*g**4 + j*g**3 + s*g**2 + l + y*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188240 and 1404.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 75392 = 74*x. What is the greatest common divisor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**7\/210 + 17*f**5\/60 - f**4 + 7*f**2 + 2*f. What is the second derivative of d(o) wrt o?\nAnswer: 12*o**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/3465)\/(5\/(-1)*(-2)\/25).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95247079?\nAnswer: 127, 797, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-288)\/27)\/4*(-6)\/40. Let p = 22 + -21.5. Sort p, q, 0.1, -3\/5 in descending order.\nAnswer: p, q, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 30*k + 19. Let a be y(-14). Let u(p) be the third derivative of -p**5\/60 - p**4\/3 + 2*p**3 + 2*p**2 - 3. Give u(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - -1.2. Put 4, g, -5 in ascending order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*g*n - 21038*g + 36177*n + 7 wrt g?\nAnswer: 49*n - 21038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 98*z. Let n be g(-2). Let j = 376 + n. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j + 3*j)*(-54 + 6*j**2 + 54) + (2 + 2*j**2 - 2)*(13*j + 11 - 11) + 2*j**3 - 3 + 3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9933 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7992 is divided by 3444?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 5. Let p = 11 + o. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 756811.3 + 894517.\nAnswer: 1651328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41477053 by -2.\nAnswer: -41477053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/9)*n*n*n\/(n\/n**3)*n*n**(2\/3)\/(n**4*n)*n**6*n**(-5\/4)*n**(2\/5)*n*n*n*n**(-2\/3) assuming n is positive.\nAnswer: n**(1567\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74976 = 5*q - u - 5020, 32016 = 2*q + 4*u. Round q to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330346.44 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/24, -1, 2\/759, 10, -1\/6?\nAnswer: 2\/759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2601, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gerrkmerrr. Give prob of picking 1 g and 1 e.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 182, 318, 518, 788, 1134, 1562, 2078?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:39 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628377154, 628377153, 628377142, 628377115, 628377066, 628376989?\nAnswer: 628376878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -9458.\nAnswer: -9458.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 2 l when four letters picked without replacement from mvhvlwvvlvvvvvvvlm?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from zfvzsgssgszsvvzsv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -5 - -4) + (30 + -21 + -17 - 68)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.09, -6\/1987, 3?\nAnswer: -6\/1987","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*n - 2*m + 9, 5*m = 4*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22275 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:22 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from ozoozeowo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {p: 1, m: 2, c: 1, e: 2, w: 1, z: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 365773203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977*m - 4101*m + 67663 - 67663.\nAnswer: -5078*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Solve 10 = 5*k, -2*f + 0 + n = 2*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 + 7 - 4 + 11*r**2 - 14*r**2 + 5 - 2*r**3 as y + b*r**2 + m*r**3 + j*r and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i + 14*i - 9125 + 9125.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i + 11*i - 111546. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77 + -16)*(-40)\/120?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*(sqrt(28)\/sqrt(4) + -4))**2 + -2 - ((sqrt(7)*2*-3 - 5*sqrt(63)) + 2)).\nAnswer: -107*sqrt(7) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 + 28*y**3 + 30*y**2 - 28*y - 29 = 0 for y.\nAnswer: -1, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -305?\nAnswer: -305.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p = -44*p + 10*k + 463, -3*k + 48 = -p - 4*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1275 + 1206.3. Let d = -61 - j. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -328 + 724. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 17. Calculate y(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3075912 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 8 = -q + 27 - 55, 0 = 2*h + 4*q + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220102 - 1324113?\nAnswer: -1104011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 u when three letters picked without replacement from tuttuuuuutuutuuuuu?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((-8 - -7) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 100 = 2*n, -k = -4*n - 29 - 3. Solve 4*h + 11 = -3*p + k, p - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3*s = 3*j + 529, -5*j + 669 = -4*s. Suppose 85*o - 62*o = 55*o - 1088. Calculate the remainder when j is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((19 - 21) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 32*f - 6. Is u(38) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, x: 2}. Give prob of picking 4 u.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610061588 to the power of 1\/3, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 8. Suppose -10 = g*d - 38. Calculate the highest common factor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/42 - (-195)\/1170.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*t - 7*t**2 + 6*t**2 + 3*t**4 - t**2 as h*t**4 + p*t**3 + g + x*t + j*t**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((9 - 16 - -10) + (0 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.02427785.\nAnswer: -3.02427785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 35*k - 6. Let y be w(-2). Let l = -13 - y. Calculate the highest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*m + 10. Let p(g) = -g**2 + 7*g - 7. Let f be 1 + 5 + 1 + -1. Let k be p(f). Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + h - 150. Give l(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m + 452. What is a(-67)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-11) + (-798)\/6479. Let d = 130\/4991 + r. Is d at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.958371 centuries to millennia.\nAnswer: 0.2958371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2553 = 5*p + 1037, -2*p + 6100 = 4*d. Suppose -y + d = -b, 4*b = 2*y - 402 - 2656. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2*h**4 - 14*d**2*h**3 + 19*d**2*h**2 - 22*d**2 - 30*d*h**2 - 2*d + 801*h**4 wrt h.\nAnswer: -72*d**2*h - 84*d**2 + 19224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 11*l**2 - 412*l - 998. Calculate n(0).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -13164.46 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-21))\/((-717)\/239)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -20.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -149*p + 16. Let a(x) = -x**2 - 43*x + 237. Let n be a(-48). What are the prime factors of d(n)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 2) + -2 + 4. Is c < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 - (-5 + 845\/150). What is the third smallest value in 1, -0.1, -0.5, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + ((-1 - 7) + 9 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = -68. Let b be 250\/(-7) + 12\/(-42). Let n = u - b. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75363004.\nAnswer: 2, 43, 83, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 1 + 1 + (y - 4*y + y)*(-1 + 0 + 0) + 5*y - y - y + 3 - y - 3 + (4*y + 2*y - 2*y)*(1 + 1 - 4) + y - 1 + 1.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -24. Let z be (-4)\/(-6)*d\/(-2). Suppose h = z*h - 44. Solve -25 = -h*u + 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (34 - 47 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*((-4*p + 2*p + 3*p)*(1 + 0 + 0) - 8*p + p - 9*p + 0 + p + 0 + (0 + 0 - p)*(-4 + 1 + 2)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358*t + 96 = -352*t. What is the lowest common multiple of t and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.52 or -1338?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*r - 5*n, -3*r + 482 = 5*n - 395 + 940 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, r: 2, d: 1, o: 4}. What is prob of picking 2 r and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701296350?\nAnswer: 2, 3, 5, 4675309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41486108 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 = 21. Suppose x*h = 5*h, -h = -5*d + 605. Let a = -86 + d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + 41. Suppose -52*z - 15*z + 3082 = 0. Calculate the greatest common factor of z and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1004739 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3*n - 3. Let g be q(-2). Put 1, 2, g in ascending order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -3 - (-14 + 54). Let g be (l\/18)\/((19 + 1)\/2). Put -0.1, 1\/8, 4, g in ascending order.\nAnswer: g, -0.1, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 + g. Let j be z(2). Let c = -3 + -1.3. Let l = c - -2.3. What is the second smallest value in l, -3, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60254066 - -0.23\nAnswer: -60254065.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -13, 0, 3\/8, 0.4, -1\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-10 - -13) + 21 + 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - k, p + 0*k = -5*k + 3. Suppose 0 = 2*c - 4*s - 24, 0 = -p*s - 0*s + 12. Suppose -t - 3*t = -c. Solve 25 = -0*d - t*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 2 = 14*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100021020020201 - 11?\nAnswer: -1100021020020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/5)\/6*60\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 19. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 0*v**3 + 2*v - v**3 + (0 + 0 + v)*(3*v**2 - 3*v**2 - v**2).\nAnswer: v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2\/2 + 2*x + 73. Let w(g) = -3*g**2. What is i(w(k))?\nAnswer: 3*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -19*p + 18*p + 6, -15 = -3*q - 3*p. What is the thousands digit of 1266 + (q*3)\/((-3)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z. Let r(o) = 93*o + 402. What is u(r(a))?\nAnswer: 1116*a + 4824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2. Let u(i) = -i. Let s(d) = 3*d. Let q(k) = s(k) - 4*u(k). What is q(f(x))?\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*w + 53 + 172, 0 = 4*x - 12. Let t = -64 + 102. Let k = w - t. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 4:21 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*l = 2557*l + 111720 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1299, -4, 0.4, 25.78?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 8427*h**5\/5 - 3341*h**2 - 8394. Find the second derivative of q(v) wrt v.\nAnswer: 101124*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115 or 8395?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*(4 + sqrt(175)) - -1*sqrt(175)*1) + 4).\nAnswer: 168 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 12. Let q = -21 + y. Let k(p) = 9*p**3 + 6*p**2 - 6*p + 6. Let t(j) = 19*j**3 + 13*j**2 - 13*j + 13. Determine q*k(i) + 6*t(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q - 4 - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96.697 + -101.12. Let d = f + -0.397. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 456, 472, 488?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -327, 0.1, -3.58, -2\/11?\nAnswer: -3.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 + 9987*m + 2402244 = 0.\nAnswer: -3068, -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6533 = 3*b - 142*b for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013728 rounded to five decimal places?\nAnswer: -0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/16 - 4)*(-1099 - -1079)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-98)\/(-406)) + -2 + 25\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*m - 11. Suppose -m*j = h - 3, 3*h + 25 = 2*j + 3*j. Suppose j*k = -4*a + 44, -2*k - k - 2*a = -82. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -1938a?\nAnswer: -19357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/6)\/(-2)*15\/605. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 134 = 4*u - u, u - 4*j = -40. Let w = u - -182. Let x = w - 42. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52338367331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.02, 0 in descending order.\nAnswer: 3, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, p: 3, m: 1, k: 6}. What is prob of picking 1 m and 3 k?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -16 + (2 - 1) + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/2)\/(2\/8))\/((-31)\/(-279))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.79642 + 0.03358. Which is the nearest to -5? (a) v (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:43 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t = 5*w - 2707, -5*t + 3392 = -2*w. What are the prime factors of t?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 + -314.2. Let w = f - -35. What is the biggest value in w, -0.4, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 15 + 0 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2047, -2048, -2051, -2056, -2063?\n\"Answer: -v**2 + 2*v - 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from qqvqqqqjqqvqjjvv?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**3 + 9\/2*a**4 - 21\/4*a - 9\/2*a**2 + 0 - 3\/4*a**5 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -6 - (12 + -34 + 27). Let s = -3 + 17. Let k be a\/(-16)*s + (-3)\/(-4). Which is smaller: -7\/8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 0*d + 0*d)*(3 + 3 - 5 + (2 + 5 - 5)*(-5 + 0 - 2) + 2 - 6 + 1).\nAnswer: 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18503780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 1. Let m(p) = 2*p + 1. Let a(d) = 3*i(d) - m(d). Let k(n) = 9*n + 21. Let f(c) = 21*a(c) - 2*k(c). Let o(u) = 2*u**2. What is o(f(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 1\/(1 + -2). Is 11 a factor of -4 + 41 + q\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 597957.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2 - 4) + 25 + (3 - 4) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j - 4. Let p be 144\/(-6) - 6\/j. Let l = 31 + p. Solve t + 2 = y + 3*y, -l*t + 5*y = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -190*o**2 + 299 wrt o.\nAnswer: -380*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87, 262, 437, 612, 787?\n\"Answer: 175*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1 (c) -291510 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 1. Let c(t) = -1. Suppose -3*g = -2*g. Suppose g = 5*u - 0*u + 5. Determine u*c(d) + m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:04 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d, -2*m - d + 0 + 9 = 0. Suppose 3*f - m = 4. Solve 5 = -5*c - 2*l, -c - f*l + 0 - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6003.855 millilitres to litres.\nAnswer: 6.003855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 2. Let s = 1 - -1. Calculate g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b + 13. Let k(w) = 488*w - 4 - 487*w - 2. Calculate 5*k(q) + 2*s(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 15.43061 micrograms?\nAnswer: 0.00000000001543061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*f - 96. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 9*v**3 + 7*v**3 + 4*v - 118*v**2 + 116*v**2.\nAnswer: -2*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 + 5. Let c be y(0). Solve -q = 5*g + 14 - 38, -g = c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280817 is divided by 46791.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 4:41 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1772)\/(-1)*-16 - 1. Let c = q - -15353. What is c rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 9*m - 6. Let k(f) be the third derivative of f**5\/30 - 5*f**4\/12 + 7*f**3\/6 + 2*f**2 - 26*f. Give 6*k(x) + 7*n(x).\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -3*f - 0, f = -3*p + 1. Let l(g) = -g + 10. Let q be l(12). Let s be q\/(-10)*(p - 1). What is the third biggest value in s, 13, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1769395380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:11 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2769, -7954, -16619, -28770, -44413, -63554?\nAnswer: -86199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1863765115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*n = -2, 4 = -0*a + 3*a + 4*n. Suppose a*h - 5*h + 15 = 0. Solve -2*t - 4*r = 3*t + 33, -h*t + r = 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 44*d - 475. Let n be x(53). Factor 4\/7*u**n - 2\/7*u + 2\/7*u**3 - 4\/7.\nAnswer: 2*(u - 1)*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377030 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**(-2\/11)*k*k))**(2\/139) assuming k is positive.\nAnswer: k**(4\/1529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -841*b + 89. Is s(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14015 bigger than -14017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.3 - 48. Which is the nearest to v? (a) -0.5 (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 3*z - 4 - 191*z**3 + 190*z**3. Suppose 0*l = -l - 9. Let v be (-2)\/l - (-4)\/(-18). Determine j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340378177 to the nearest integer?\nAnswer: 18449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2135176476 by 2.\nAnswer: 1067588238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*k + 12. Let d = k - -27. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34920*q - 34582*q - 15548 = 0 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 804928044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3581 + -6.5.\nAnswer: -6.8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**2\/7 + 1328*h\/7 + 442\/7 = 0?\nAnswer: -221, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10604160 (base 7) to base 2.\nAnswer: -11100010000010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*k + 261 = 5*k, -5*k = -15. Is -7 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is acd - -3?\nAnswer: ad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 56\/3 + (-2)\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let j(v) = 35*v**2 - 5*v. Let f(k) = -j(k) - 3*q(k). Let m be f(-1). Let a = -9 - m. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 325*a + 620. What is b(108)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -47284582 > -47284585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-46) + (-6)\/(-3))\/(-416 - -410)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -0.070000428. Round f to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 3*x**2 + 6*x - 2. Calculate v(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {q: 9, i: 2, a: 1, n: 1, g: 2, j: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 3 = 0. Let f be 12\/(-6) - (-1)\/(1\/w). Calculate the highest common factor of f and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48463 + 18381 - 10684 = -1560*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2627471 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-1)\/(-8))\/(-116 - 9340\/(-80))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1548*c**3 + 1 + 3499*c**3 + 135*c**3.\nAnswer: 5182*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117910.7 centuries in millennia?\nAnswer: 11791.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2546, 2550, 2556, 2564?\nAnswer: 2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 62.4 * 11\nAnswer: 686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11697*x**3 + 16668*x**2 + 4953*x - 18 = 0. Calculate x.\nAnswer: -1, -3\/7, 2\/557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489 divided by -3.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 + 148. Let s = -149 - l. What is s rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488168959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((18\/3)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*q - 8, -6*q + q = -3*f - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -82. What is the biggest value in 4, q, 0.4, 0.32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(576) + -1*sqrt(576)))\/(-3*sqrt(100)\/sqrt(2)*1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.96? (a) -1.1 (b) -0.6 (c) 5\/2 (d) 1\/4 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346 - -12.\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 9 - 4)*(-2*n - 3 + 3).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from ghhggmhghhhgfmmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 777, -1330, 15 in ascending order.\nAnswer: -1330, 2, 15, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74440, 148847, 223218, 297553, 371852, 446115, 520342?\nAnswer: 594533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*m**2*q - 39*j*m**2*s**2 + 3*j*q*s + 3*m**2*q*s - q + 181*s**2 wrt j?\nAnswer: -m**2*q - 39*m**2*s**2 + 3*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 4:32 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 6 (c) -10 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0646 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7663.3 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -124, -287, -516, -811, -1172?\n\"Answer: -33*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03939 times 4.3007\nAnswer: 0.169404573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -13*y**5\/15 + 7*y**2. Let h(b) be the second derivative of b**3\/3 - 388*b. What is l(h(q))?\nAnswer: -208*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 1063798774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2007.87 times -35?\nAnswer: 70275.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let q(t) = 42*t**2 - 32*t. Determine q(s(j)).\nAnswer: 42*j**4 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -185, -182, -181, -182?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - 39*n**2 - 44*n + 68. Determine d(-11).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let f(v) = -407*v + 2. Let q(k) = 369*k - 2. Let w(b) = 6*f(b) + 7*q(b). Give w(z(o)).\nAnswer: -282*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51821, 103725, 155555, 207275, 258849, 310241, 361415, 412335?\nAnswer: 462965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1441*k + 1437*k + 50856 = 0. List the prime factors of k.\nAnswer: 2, 3, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -181, -1, -0.2 in descending order.\nAnswer: -0.2, -1, -9, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.37 (b) 404 (c) -5186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from dweeeewwdeeeawea.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -22*h + 132. Solve 0 = h*b - 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -0.1. Let g = -3.7 - z. Let x = -0.3 + -0.2. Which is the closest to 1\/2? (a) 4 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 + 12*i**3 + 22*i**2 + 32*i\/3.\nAnswer: 2*i*(i + 1)**2*(i + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -65. Let u be -4 + (-18)\/15 - 2\/(-10). List the prime factors of (p + 0)\/2 + u + 26.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (28062\/(-12) - 5)\/((-5)\/1090) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153136415 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476 divided by 1?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**4 - 11945*q**3 + 65980*q**2 - 24025*q - 30000 = 0. Calculate q.\nAnswer: -1200, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -669 - -460. Let j = -91 - h. Calculate the remainder when j is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -473336 - -295361747\/624. Find the common denominator of -151\/48 and c.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8092 - -18003. List the prime factors of k.\nAnswer: 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 2033?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 16 = 5*r, -4*r - 16 = -4*b. What is the remainder when 330\/b*(-4)\/(-6) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 22*k + 43. Let p be w(-20). Determine f so that 3\/2*f**2 - p - 3\/2*f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10748, 94, 3\/2, 2\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -179 * -3\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f = -85*f + 5*x + 15, -3*f - 4*x = 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6600 and 440.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 5*m = 96, -3*h + 12*m + 41 = 109*m - 99*m for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 + 65*r**4 - 200*r**3 + 180*r**2 = 0. What is r?\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o - 82*o + 32 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4701.3 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/9 or -315997?\nAnswer: -315997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 52*t - 71. What are the prime factors of g(20)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**7\/21 - 4*a**6\/45 + 7*a**5\/15 - 2*a**4\/9 - a**3\/3 + 26*a - 3. Determine o so that n(o) = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((1 - 14\/(-6)) + -4)*-63 is divided by (-134)\/(-6) + 1\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c + 448. Let b = c + -53. What is the least common multiple of b and 2?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w + 1\/2*w**4 - 34 - 23\/6*w**3 - w**2 + 1\/60*w**5. Find the first derivative of v(x) wrt x.\nAnswer: 2*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let f(x) be the second derivative of -17*x**4\/12 - 34*x. What is v(f(s))?\nAnswer: -289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -3, 0.1, -0.3, 1405849?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**2*y**4 - 8*n**2*y**2 - 3*n**2 - 23*n*y**4 + 2*n wrt y?\nAnswer: -120*n**2*y - 552*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 160256*s - 6420496384.\nAnswer: -(s - 80128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-8)\/112)\/(1\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 1. Suppose 0 = -5*f + f + m + 2, f - m + 1 = 0. Let a be z(f). Find the third derivative of -a*i**2 - 3*i**2 + 4*i**2 - i**3 + 5*i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*j - 52*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 334 and 37249015.\nAnswer: 37249349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2008*s - 57215 = 8749*s + 145015 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -143. What is the remainder when 191 is divided by z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 divided by 303?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45032\/5 - 9000. Let t = 17 - 12. Is c greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 47*b + 679704. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -322 + 325. Solve s + s = -o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469583197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/9 and -74\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:08 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/(177\/1475)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-228)\/(-8))*(-1 - -3). Let w = -64 - r. Suppose 0 = -u - 8*h + 3*h + 16, -4*h + 2 = -u. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 10\/8)\/(14\/112). Solve -2*z - 4 = -r*h + 2, -h = -5*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 22714?\nAnswer: 113570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -59. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464191590.\nAnswer: 2, 5, 41, 3571199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 - 12*o**2 + 2*o**2 + 7*o**2.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5925)\/(-10))\/(-5)*-2. What are the prime factors of 3\/(-12) - n\/(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3755*b**4 + 137*b**2 - 1834423 wrt b.\nAnswer: 15020*b**3 + 274*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 64910.\nAnswer: -39\/32455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 6532*k**3 + 2669952*k**2 - 2663424*k.\nAnswer: 4*k*(k - 816)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfaannaafyf. Give prob of sequence nynx.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1000000 (base 2) to base 5\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111844169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 68160?\nAnswer: 477120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -12, y + 2*i = 4*y - 248. Suppose -s - 22 = -0*u - u, -5*u + y = 5*s. Calculate the remainder when 1\/(-4) - 297\/(-4) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccsccs. What is prob of picking 2 c and 1 s?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -1\/2, 730\/303, -0.1, -0.3?\nAnswer: 730\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3015373136 and 6931?\nAnswer: 6931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11862 and 9.5.\nAnswer: 112689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = 5*p, -53 = 5*h - 2*p - 45. Are 19\/32 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*k*w - 163*k + 38347*w + 10 wrt k.\nAnswer: 72*w - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8*y + 20. Let w(u) = 0*u - 3 + 4*u + y - 2*u. Determine w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*d - 3492 - 3068 = -1460 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*u**2 + 110*u**2 - 4*u + 10*u + 6*u - 3*u + 2*u.\nAnswer: 2*u**2 + 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, 3\/8, 70, 0.78 in descending order.\nAnswer: 70, 0.78, 3\/8, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10484834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**3 - g + 2. Let j = 5 + -3. What is the tens digit of x(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 2, z: 4, m: 1}. Give prob of sequence zt.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133929031 at least 133929031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.88876 hours to nanoseconds.\nAnswer: 269599536000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2417, 4893, 7421, 9995, 12609, 15257?\n\"Answer: -r**3 + 32*r**2 + 2387*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -7. What is the units digit of ((-1)\/(-3))\/(l\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00898166*-1\nAnswer: -0.00898166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 51*a + 20. Give i(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-115)\/45*-3 - (-3)\/9. Suppose 0 = -3*k + r*k - 285. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:42 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + -3444?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -9, 1169?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2899\/63 - -454\/9. What is the common denominator of a and 3\/(-15) - (-2034)\/1620?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((132\/11)\/(-72)))\/((-6)\/25)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17422 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 451759327 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6657 + 1.64. Let y = 0.025096 + v. What is y rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*r + 2*n, 10*r - 32 = 8*r - 4*n. Calculate the highest common factor of 620 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Let x = 4 - r. What is the units digit of -2 + x - (-63)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*o + 84 = 0. Suppose 1 + 3 = d. Calculate the least common multiple of d and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 798, -14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136782991*u**3 - u**2 - 474944743*u.\nAnswer: 820697946*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + be525f?\nAnswer: be5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + y = -10, -y + 20 = -9*o + 13*o. Calculate the highest common divisor of o and 1620.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -104. Let j(u) = -12*u + 26. Let n be j(q). Which is the third biggest value? (a) 2\/9 (b) -0.9 (c) 5\/2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.68390549 - -2.684. What is v rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:50 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6135358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 46 = 5*w + 42, -3*w - 20 = -4*b. Solve b*r = 29*r - 189 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.608 - 0.552. Let q = 973.772 + -973.8279409. Let v = q + k. Round v to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 + 7*g + 28. Let k(w) = w + 4. Let t(z) = 35*k(z) - 5*y(z). Let m(o) = -2*o**2. Calculate t(m(s)).\nAnswer: -140*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 2*h)*(3*h + 2*h - 3*h + (2 + 2 - 1)*(0 + 2*h + 0)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 36 = -39 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4266 * -0.1.\nAnswer: 426.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32188, -32151, -32114, -32077, -32040?\nAnswer: -32003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 84 = 4*i. Let j = 67 + i. Let o = -17 + j. What is the highest common divisor of 40 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010001001110111111110?\nAnswer: 1010001001110111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 9, q: 2, m: 1}. What is prob of sequence mqx?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 2, -2, -4 in decreasing order.\nAnswer: 2, -2, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/11 + (-8)\/44. Suppose -n - b*w + 3*w + 14 = 0, n + 2 = 3*w. Suppose n*v = 6*v - 60. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202905360?\nAnswer: 2, 3, 5, 7, 127, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 2*h + 3*h + 2*h. What are the prime factors of w(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102*u + 7*u - 13*u)*((3 - 3 + 2)*(2 - 2*u - 2) - 2*u - 1 + 1 - 44 + 44 + 10*u) in the form g*u**2 + o + t*u and give g.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1973499?\nAnswer: 3, 11, 79, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) -1\/4 (c) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.3 - -15. Let v = 22.4 + -22. Put c, 3, v in ascending order.\nAnswer: c, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*v - 1)*(-3 + 3 - 5)*(4 - 3 - 3).\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:16 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 28 = -0*c. Suppose 0 = -19*d + 8*d + 44. Suppose s + f + 18 = 6*s, -2*s + 2*f = -d. Calculate the remainder when c is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, -0.067, -0.5, 2\/3, 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5301463\/3 or 3\/20?\nAnswer: 5301463\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 70*d - 2332. Let k be f(26). What is the highest common factor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/339 + 10753\/160347. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from qpbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 942*l - 7344.\nAnswer: -3*(l - 306)*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 97 = 219 - 98 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21 + (-5 - -1) + -3. Suppose 3*v = -4 - q. Calculate the remainder when 59 is divided by 11 - -3 - (v - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 2*c - 2. Let a be (-1 - (-50)\/15) + ((-160)\/(-6))\/(-8). Let p(z) = z**2 - 4 + 3 - 3*z + 4*z. Determine a*v(s) + 2*p(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkqqq. What is prob of sequence kkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 656012 = -2*z, 2*z + 3*z - 4*g - 1640012 = 0. Suppose 0 = -6*k + 8*k + z. What is k rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + ((-23)\/(-5) - 1). Suppose -5*o - 3*u + 423 = -d*u, 0 = -2*u + 4. Suppose -165*t**2 + t + 9*t + o*t**2 + 85*t**2 + 5 = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Let s(x) = -x**3 - 3*x**2 - x + 3. Let f be s(-3). Suppose f*p = 3*p + 27. Calculate the remainder when p is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 + g**5\/15 - 11*g**4\/24 + 61*g**3\/6 + g**2 + 9*g. Is w(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68199864602 - 60?\nAnswer: -68199864662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.81 (b) -0.1 (c) 3 (d) 15 (e) 5 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10846\/171 less than -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - l - l)*(2 + 3 - 6) + 5 - l - 5 + 327*l - 1773*l - 3447*l as n*l + w and give n.\nAnswer: -4891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22310 + -1201232032?\nAnswer: -1201203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -46*g**2 - 14*g - 42*g**2 + 90*g**2 - 8. Let j be i(8). Solve 0*v + 17 = 2*v + 5*u, 5*v = -u + j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1075290\/871 or -1234?\nAnswer: -1075290\/871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97.4 and -409467.\nAnswer: -39882085.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2047 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 13*t**4 + 5*t**2 - 1 - 1 + t**3 - 7*t**2 to g + y*t**2 + v*t + o*t**3 + u*t**4 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 32183 - 3769 = -4*f, -4*f - 3*a = -35936. Is 60 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*q - 6*b**2 + 2*b*q - 721*b - 19224441*q with respect to b.\nAnswer: -4*b*q - 12*b + 2*q - 721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9)\/(1*(-3)\/27). Let b(m) = 11*m**3 + 4*m + 4. Let z be b(i). Let s be z\/2*(-24000 - 0). Round s to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 2. Suppose -29 - 51 = -5*n. Let g be 20*(36\/n - 2). Give k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 + 152. What is the highest common divisor of 26 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1088) + 4 + sqrt(1088) + -1 - (sqrt(1088)*-1*5 + sqrt(1088)))**2.\nAnswer: 288*sqrt(17) + 39173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) - (sqrt(114) + -2*sqrt(114))))\/(sqrt(12)\/sqrt(2)*5 - sqrt(6)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*d + 96 = 519*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/120*18)\/((-6)\/10*(-24)\/(-54)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.11, -3, -51, 0.32, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 10*l + 47. Calculate n(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 50*l**2 - 2*l + 4. Let j be d(3). Suppose s + 2 = -5*z + 569, -2*s = -4*z + j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + -3 + (0 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(8640)*1 + sqrt(60))\/(-2*sqrt(108)) + (sqrt(20)*1*-3 - (0 + sqrt(20))*-5)))**2.\nAnswer: 605\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Let m(a) = 7 + 5*a**2 + 4*a**2 + 19*a + 9*a**2 - 8*a**2 - a**y. What is the units digit of m(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let t(x) = -3 + 6 - 7*x**2 + 5*x + 9*x**y. Does 6 divide t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*a + 9, 3*j + 2804*a - 1 = 2805*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + w = 16, -26*w + 30*w = 18*n + 82 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*i = -1164*i + 30*i - 24948 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -5.\nAnswer: -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -28.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 12*j**2 + 8*j + 7. Let p(d) = 2*d**2 + 2*d - 31. What is the remainder when c(-8) is divided by p(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*7\/(-4))\/((-23198)\/13256).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 20*q + 17. Let a be d(-3). Let o be 90\/225 + a*2\/(-10). Suppose o*k - 520 - 1622 = 0. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -627.4415 + -2.1085. What is m rounded to the nearest integer?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 28480 - 700\/35?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 26. Let c be m(14). Let i be (91*(1 - c) - 3)\/(-2). Suppose l - i = -14. What is the highest common factor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9685*g*n**3 + 30*n**3 - 301 wrt g?\nAnswer: -9685*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1 - 6*w**3 + 1 - 3 - w. Suppose 3 = -2*j - j. Let a = -2 - j. What is y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(6\/(-135)) + -1. Suppose -3*g - 7*y = -3*y - l, -5*y = 2*g - 41. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249552.938 to the nearest ten.\nAnswer: -249550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-6) - (-76)\/(-57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a microsecond in nanoseconds?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Suppose 3*f = -5*x, 4*x - f - 12 - 5 = 0. Let c(s) = -x*s - 4*s - 3*s - 5*s. Calculate c(y(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5864\/12*(-48)\/(-32). Let u = d + -50. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1625 and 25.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-1 + -1)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7114563 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 2*v**2 + 3. Let n(s) = -s**2 + 1. Let r(f) = -f + 4. Suppose 19 = 5*d - 11. Let x be r(d). Calculate x*n(h) + u(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.81, 13, 2.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-3))\/((-15)\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792 - 283 = -j. Suppose -4*z + 9*z = j. Is z 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 838426099?\nAnswer: 7, 119775157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020403823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 251439\/(-36) - 134\/(-201). Suppose -4*s + 10493 - 38413 = 0. Let h = t + s. What is the common denominator of -101\/8 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/61)\/(h*h**(-15\/8)*h)*((h**(-3\/11)*h)\/h)**36 assuming h is positive.\nAnswer: h**(-53551\/5368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, -1, 6, 0, -3, 21 in ascending order.\nAnswer: -3, -1, 0, 6, 21, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 80, 148, 234, 344, 484, 660, 878?\n\"Answer: k**3 + 49*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42443 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 4. Let h be d(4). Suppose h = 3*a - 50 - 70. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -39, -30, -23, -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/2 - 13*m**2\/2 + 13*m. Let w(q) = -q - 6. What is -4*v(o) + 9*w(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -17. Suppose z - 19 = f*z - t, 2*z + 17 = -t. Let v(j) be the first derivative of -j**4\/4 - 2*j**3 + j**2\/2 + 7*j - 1. Calculate v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(-14)\/q*q))\/q)\/q)**(-34))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/15 (b) 5 (c) 1\/2587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**3*x**3 + 55*m**3*x - 3*m**2*x**3 - m**2*x - 2*x**3 wrt m?\nAnswer: 18*x**3 + 330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 620 - -1247. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -644, -2297, -5550, -10937?\nAnswer: -18992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -35172?\nAnswer: -35177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 17. Let n be -2 - 0 - (-1 + r + -15). Suppose -n = -3*w, -3*w + 10 = -5*j - 0*w. Solve -3*a + 5 = 5*c, -2*c + 2*a + j = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.94 and 9.28?\nAnswer: 55.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 38*j - 13 + 37 - 50.\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-65))\/((-2)\/(-30)). Let a(l) be the first derivative of l**4\/4 + 5*l**3\/3 - 2*l**2 + 2*l + 1. Determine a(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -61, -79, -101, -127, -157, -191?\n\"Answer: -2*p**2 - 8*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 4, h: 1, x: 1}. Give prob of sequence xzz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:37 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83 and 43329901.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 199*z**3 + 4*z**2 - 12*z + 5. Is 16 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -7*r**6\/30 + 35*r**4\/12 + 48*r. Find the third derivative of o(t) wrt t.\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 151, 222, 275, 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102213223 (base 4) to base 6.\nAnswer: -1345031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 22. Let i(o) = -o**3 + 2*o**2 + o + 15. Let w be i(0). Determine p(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-58)\/12)\/(3276\/1284). Let v = t - -1\/182. What is the common denominator of -161\/30 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6 + 3 = j, -5*j - 2*z = -27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j*(j**(1\/5)\/j)\/j)**(16\/11) assuming j is positive.\nAnswer: j**(-144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) - (-18)\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8617590 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.3641 milliseconds in microseconds?\nAnswer: 469364.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-2\/29)\/((k*k**(-5)\/k)\/((k\/((k**(-1)*k)\/k))\/k))*((k*k*k**(1\/3)*k)**(2\/75))**(4\/15) assuming k is positive.\nAnswer: k**(236503\/39150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(19) - (4 + sqrt(171)))*-5)**2.\nAnswer: 14400*sqrt(19) + 82800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (25\/(-20)*-2)\/(80\/192)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145431392803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a millennium in years?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93*c - 15*c**2 + 93*c)*(12*c**2 - 3*c**2 - 2*c**2).\nAnswer: -105*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8447942 to the nearest integer?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20001330313 (base 4) to base 7\nAnswer: 23615305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 12*m - 30. Let v be j(-15). Let n = v + 304. Calculate the highest common divisor of 116 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (-5 - -15)) + -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (1\/8 - (-25 - (-4563)\/216)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -132476.26?\nAnswer: 66238.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpppkkkkk. Give prob of picking 1 k and 2 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003325 to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -s, 4*n + 5*s - 20 + 0 = 0. Suppose 0 = -3*l + 5*l. Solve -5*w = -5*y - l*w - 30, n*w = 4*y + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1113 - 751 + 768 + (-1 - 2 + 2)*(5 - 3 + 1))*(2*v + 2*v - 5*v) as y + t*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*v - j + 2, 0 = -4*j + 12. Let l be ((-20)\/(-6))\/(1\/v). Suppose -13 + 1 = -2*u + 4*s, 4*u = 2*s + l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(144)*-1) + (-3*(sqrt(320) + (-5 + sqrt(320))**2) - sqrt(320)) + 5)*-6.\nAnswer: -2493*sqrt(5)\/2 + 6180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1240015234?\nAnswer: -1240015235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 0.17, 3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u. Let a(p) = 20*p**2 - 24*p. Let n(b) = a(b) - 24*m(b). Let d(y) = y**2. Calculate n(d(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1023 - 1026. Let u = 1 + -2. Let w = -1.1 - u. Which is the biggest value? (a) w (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -4 (b) -2\/5 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 29*h + 8. Let g be -8 - (-1 - 7) - (2 - -2). Let q(u) = -10*u - 3. What is g*x(f) - 11*q(f)?\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 791 + -583. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26135, 52265, 78395, 104531, 130679, 156845?\n\"Answer: r**3 - 6*r**2 + 26141*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/17)\/(u\/(u\/((u*u**(-4\/15))\/u)))*(u**(-2\/7))**(-9) assuming u is positive.\nAnswer: u**(5171\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*q**2 - 271*q wrt q.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -281, -4, -3 in ascending order.\nAnswer: -281, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert e5 (base 16) to base 8.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4799 = 4*l - 969. Let o = l + -11509\/8. Calculate the common denominator of -58\/7 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 169?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 16 = 4*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1053, -4215, -9471, -16809, -26217, -37683, -51195?\n\"Answer: 2*u**3 - 1059*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4194 = -4*g + 2*o, -10*g + 5*o + 3142 = -7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:58 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 281*z**3 + 2771*z**2 + 13984455.\nAnswer: 843*z**2 + 5542*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*o - 1881*o + 812844 = -11389*o - 342772 for o.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 11 + 4 - 133*j - 25 + 7 to the form f + p*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000294132 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*s**3 + 5*s**3 - 5*s**3 - s - 3*s**2 - 17*s**2 as m*s + o*s**2 + n*s**3 + k and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -305. Let c = -126 - o. Suppose 926 - 3041 = -c*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 7*u**2 + 4. Suppose 0 = -2*b - 9 - 5. Let h be z(b). Let w be (h\/10)\/(242\/55). Is w < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 22.9. Which is the closest to -0.1? (a) w (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-20)\/(-8))*-1. Let w be 4\/i + (2 - 4). Solve -2*z = -b - 3 - 7, -4*z + b + 16 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 308*s**2 + 26. Let y(f) = -7*f. Give y(b(h)).\nAnswer: -2156*h**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4586626 is divided by 327610.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0, -2, -1, 3.\nAnswer: -48, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3953 - 4037.53. Let l = u - -84. Let b = l + 0.592. Round b to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 5. Let x be w(0). Let b = x + 0. Suppose -7*t + 3*t = -b*i - 21, 0 = 4*t - 2*i - 18. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125604?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/989586 and -33\/879632.\nAnswer: 7916688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80477.63 kilograms in tonnes?\nAnswer: 80.47763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9 - 26 = -f, 24 = 4*f + 5*x. Let r = -0.2 + -0.3. What is the closest to 0 in 2\/35, f, r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 - 0.17. Let d = 14223 + -28445\/2. What is the third smallest value in -2\/5, 4\/5, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, 153, -5929.\nAnswer: -5929, -18, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 9*h - 2*d - 52, 4*h + 4*d = 128. Solve -5*u - z - 5 = 0, -4*z - 3 = -3*u - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Sort q, 2\/3, -3.\nAnswer: -3, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401006 - 49664 - 374503 = 12648*d - 35181*d for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131331 + 2?\nAnswer: -131326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100390742?\nAnswer: 2, 59, 659, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - (-60)\/9. Suppose -2 = u - i. Suppose 4*h + h = -5*d + 20, 4 = 2*h. Solve 15 = -d*s + u*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559012 divided by -4?\nAnswer: 139753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*i - 2*i + 248 = 0, -2*f + 2*i + 268 = 0. What are the prime factors of f?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-8)\/220)\/((-828)\/2070)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 - -3)*-1. Let x(q) = q**2 + 51*q - 253. Let v be x(-56). Solve 5*w = -2*h + 30, -5*h - a*w + v = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 40*z - 14. Determine x(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10782694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 4. Let w be s(-2). Solve -w = 2*g - 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2 = -g, -864*g + q - 15 = -873*g - 33 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29469 times 5\nAnswer: -147345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**2 - 21*k + 2. Let w be b(-2). Suppose 0 = -w*m - 2*m + 96. What is the highest common factor of m and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 125 = -i - 140, -5*i + 21 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-10 + -90 + 92 + (1 - -1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 x when four letters picked without replacement from llxlxllllxllxxxlllx.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73164 and 12702508?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 3*u + 2. Let y be c(-2). Suppose -2*d + d = -y. Let r(k) = -20 + d + k. Let w(z) = 2*z**2. Calculate w(r(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i - 88*i = s + 4, -5*i + 8 = 3*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 19 = 2*c. Let a = c + 16. Is a > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-20 - (-3 + 2)). Let w(p) = -p**3 + 6*p**2 + 5*p + 6. Let l be w(6). Let y = r + l. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125154 and 32?\nAnswer: 2002464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1372 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j**(10\/9)\/j*j\/j**(-25)*j\/(j**(-29)\/j) assuming j is positive.\nAnswer: j**(550\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27511 = 490*u + 181*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-2)\/(-6) + 10\/12*16374074\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 55\/522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*n + 44, v = n - 14 + 16. Let w(p) = -p**3 + 7*p**2 + 8*p + 4. Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 9*g + 12. Let v be f(-9). Let i(t) = 4*t**2 - 21*t + 42. Let d be i(2). Solve 4*x + 9*q = 4*q + d, -4*x + 2*q = v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - 1.3. Let t = -34.5 + 49. Let g = -14 + t. Which is the smallest value? (a) 3 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by 1.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 32*h + 460 = -428 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 3993578*p**2 + 3987118387153*p + 95693141606424.\nAnswer: (p - 1996801)**2*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 3, f: 1}. Give prob of picking 3 e.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1655*a**2 - 40. Let c(r) = -2*r**2 - 6. Give 7*c(f) - n(f).\nAnswer: -1669*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*u - 0. Let s(x) = 328*x**2 + x + 22. Let g(z) = -29*z**2 - 2. Let l(k) = -11*g(k) - s(k). Let t(i) = -4*i**2. Calculate u*l(a) - 14*t(a).\nAnswer: 2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(1\/(-28))*24\/24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*r = 6*i - 12, 0 = -4*i + 4*r + 4. Suppose 3*w = 2*n - 20 - 31, -w + 71 = i*n. Calculate the remainder when 130 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxqtttqthtstqqx. What is prob of sequence shxq?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56 (b) 1 (c) -110050\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 90 = 0. Let l = m - 30. Let s = 0 - l. Calculate the remainder when 23 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*y + 54 = 0, -5*p + 2*y = y + 289. Let t = p - -99. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 0 + 2)**2 + 6*(0 + sqrt(612))**2.\nAnswer: 24*sqrt(17) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27718 - 247?\nAnswer: -27963","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: 7, b: 4, z: 5}. What is prob of sequence kzcb?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2 - 3*c**2 + 4*c**2 - 1 + c - 5*c. Let k be g(3). Let s(r) = -22*r + 5. Let j be s(k). What is j rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -11, -4?\n\"Answer: 7*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5987.\nAnswer: 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2587854*t**5 + 2*t + 800964.\nAnswer: 51757080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + v**3 - 3*v**3 + 0 - v**4)*(190 - 190 - 20*v + (4*v - 4*v - v)*(4 - 3 - 3)).\nAnswer: 18*v**5 + 36*v**4 - 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.03759 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*g - 391*g - 1508356*g**3 + 133*g + 1508337*g**3 + 129*g.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-69))\/((6\/81)\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 1. Suppose -12*s + 12 = -10*s. Let l(u) be the second derivative of u**4\/12 + u**3 + 4*u**2 - u. Give s*n(f) + l(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**3 - 7*o**2 + 6. Let b(z) = 2*z**3 + 6*z. Let w(d) = -16*d**3 + 20*d**2 + 30*d - 18. Let a(t) = 5*b(t) - w(t). Give -6*a(y) + 17*i(y).\nAnswer: -3*y**3 + y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffwcwffjjrlrjcjjf.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1081*q**5\/30 + 962*q**2. Let f(b) = 21*b**2. What is -207*f(m) + 2*j(m)?\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1548, -66, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 15*a**2 + 16*a + 19. Let j be m(14). Let q = j + -34. Suppose -2*z - 3 = -q. Solve 4*c = -2*w - 3 + 15, w + z*c = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (581\/1162)\/((-1)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*t + 1 - 3)*(-1 - 2*t**4 + 1 + 3*t**4 - 4*t**4 + 3*t**4 + (-5*t**2 - t**2 + 5*t**2)*(t - t**2 - t) + 0*t**4 - t**4 - 2*t**4).\nAnswer: -10*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9083 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by 47484.\nAnswer: -25\/23742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4, 4*u - 3*m = -4*m + 1. Let z = -4 + 6. Let w(t) = 19*t - 28. Let f be w(2). Solve u = 7*s - z*s - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566 divided by -7?\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1275*u + 92. Let a(j) = -1274*j - 110. Determine 5*a(l) + 6*b(l).\nAnswer: 1280*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 137*b - 169. Let z(q) = -51*q + 56. Let d(n) = -3*k(n) - 8*z(n). Calculate d(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5056 or -5009?\nAnswer: -5056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16525 + 19?\nAnswer: 1653e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 828059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179 + -180. Which is the closest to -7? (a) f (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*c + 21. Let x = c - 13. Suppose -5*k = j - 65, x*j + 3*j = 2*k + 212. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9))**(-31) assuming a is positive.\nAnswer: a**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose l = -5*f + 37 + 13. Suppose b - f = 1. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 - 0) + -1)\/1. Suppose -p - 9*p = -550. What is the tens digit of p + (-6 - -2) + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -570*v**5\/11 - 24944*v**4\/11 + 57846*v**3\/11 - 38948*v**2\/11 + 6984*v\/11 - 368\/11 = 0.\nAnswer: -46, 2\/19, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 251664 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 846, 949, 1052, 1155?\n\"Answer: 103*d + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 9. Let k be n(14). Solve k*f + 20 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o - 1. Suppose 5 = 6*z - 5*z. Let k(v) = 35*v**5 - 19*v**2 - 5*v + 5. Let b(f) = z*p(f) + k(f). What is the third derivative of b(d) wrt d?\nAnswer: 2100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 2:31 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 23*w**3 + 9*w**2 - 5*w - 5. Let n(i) = 34*i**3 + 14*i**2 - 7*i - 7. Give -5*n(d) + 7*r(d).\nAnswer: -9*d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8263378.62 milliseconds?\nAnswer: 0.01366299375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 8*t + 9. What is the common denominator of -37\/5 and t\/5 - (-7 + 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 16 - (-5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.163 * -39569\nAnswer: -85587.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3 + 15. Let f(n) = -n**2 - 6*n + 5. Let p be f(t). Solve -p*d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -36*k**2 + 353*k + 18. What is the least common multiple of 108 and r(6)?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102) + sqrt(102))*-5 + sqrt(102) + (sqrt(102) - sqrt(102)*1*3))\/(1*1*sqrt(726)).\nAnswer: 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100, 194, 284, 370?\n\"Answer: -2*b**2 + 100*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.4817 millennia to months.\nAnswer: 1757780.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 - 6*s + 8. Suppose 5*j = 2*j - 18. Is v(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4486 and 4177.923.\nAnswer: -308.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -4. Suppose -f + 3*d + 21 = -5*f, -5*f - 3*d - 24 = 0. Let b be ((-10)\/(-15))\/((-10)\/f). What is the third smallest value in b, -2, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 2*g - 2 - 8*g)*(0*g + 0*g - 2*g + (4*g + 0 + 0)*(0 + 3 + 0) - 3 + g + 3 + 0*g - g + 3*g).\nAnswer: -26*g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-15)\/(-10)*20).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 3*y - 3 - y**2 + 5. Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbnwtthvwnt. What is prob of sequence wh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83892 divided by 3?\nAnswer: 27964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 315, 322, 327, 330, 331, 330, 327?\n\"Answer: -l**2 + 10*l + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(425) - (sqrt(425) + 1)) + sqrt(425) + 1)*3 + 0 - (-4 + (1*sqrt(425)*-6 - 2*sqrt(425)*-2) + -3))**2.\nAnswer: 1250*sqrt(17) + 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195 - 197. Let j = 1 - 19. Let k = j - -17.96. What is the third smallest value in k, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 369*s**2 + 651*s**2 + 2*s.\nAnswer: 1020*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94218791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**5 + 4*o**5 - 2*o**5 - 4*o**5 - 4*o**5 + 2*o**5 + (-2*o**4 + 4*o - 4*o)*(-2*o - 1 + 1) + o**5 - 3*o**5 + o**5.\nAnswer: -13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 433654 and 720954.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8069293.\nAnswer: 37, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 31, -3, 120, -9, 5.\nAnswer: -9, -3, 0, 2, 5, 31, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m. Suppose -2*t + 5*w = -6, 5*w - 3 = 2*t - 3*t. Let n(g) = -t*g + g - 5*g. Calculate a(n(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -26998.\nAnswer: 5\/26998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24465 is divided by 2228?\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5123 - 2544. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5455 (base 9) in base 14?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 > 4761\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7902232787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2988\/9960)\/((-207)\/60).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**3 - z**2 + 37*z + 31. Let k be n(15). Suppose 0 = 23*p - k - 4230. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 + 180. Let f(h) = 236*h**2 + 122. Let d(i) = -235*i**2 - 122. Let c(n) = m*d(n) - 2*f(n). Differentiate c(p) with respect to p.\nAnswer: 466*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 45*x**3 + 4*x**2 - 61*x + 254. What is the units digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 207 - 373. Let x(i) be the third derivative of 7*i**4\/12 + i**3\/6 + 21*i**2. Let d be x(2). Calculate the highest common factor of d and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 7*d**3\/2 - 909*d**2\/2 - 1388*d - 930 = 0.\nAnswer: -2, -1, 930\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -16. What is the nearest to 1\/3 in f, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*x + w + 182 + 648, -3*x - 7*w - 38 = -10*w + 8*w for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 + 36*m**4 - 32*m**3 - 240*m**2 = 0.\nAnswer: -2, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/6 + 3*r**2\/2 - 3*r. Does 3 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10184 + -10182. Let r(i) be the first derivative of -3*i**x + 0*i**3 - 23\/4*i**4 + 0*i - 4. Find the second derivative of r(n) wrt n.\nAnswer: -138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29 + 114)\/(10\/4). What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - o**2 + 4)*(2*o - 3*o + 0*o + (2 - 4 - 4)*(-o + 2*o - 2*o)).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -12. Let u = a + -5. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8627 (base 9) to base 15\nAnswer: -1d2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n - 221. Let w be c(-10). Suppose 3*i - 3*m = 900, 4*m + 11 - 3 = 0. Let l = i + -165. What is the greatest common divisor of l and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837947843.\nAnswer: 37, 22647239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**3 - 9. Let u = 17 - 5. Let z(w) = 5 + u - 17 + 24*w**2. Determine z(j(m)).\nAnswer: 216*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 7619927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 12. Let c be n(6). Suppose 4*v = 4 - c. Let l be v\/(-3) + 170\/15. Is 11 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 538237685*h**2 - 538237685*h**2 - 4291 + 4291.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szse. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1464 and 776469?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 679?\nAnswer: 205\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551665337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 0. Let c = -5509\/2924448 + 5\/4458. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 54, 24 in decreasing order.\nAnswer: 117, 54, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 8}. Give prob of sequence qq.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70512763 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: Is 6\/125 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -119354 and -123769 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -627389.\nAnswer: 1\/627389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 125034?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 + d**3 - d**3 + (-3*d - 1 + 1)*(2 - 2 + 2)*(0*d + 3*d + 0*d)*(7*d - 15*d + 4*d).\nAnswer: 75*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 8)*(-712 + 611).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 57*u + 65. Let b(x) = 29*x + 33. Let n(k) = -5*b(k) + 3*l(k). Find the first derivative of n(j) wrt j.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + (7 - 2). Suppose t*s - n = 4 + 2, -5*n - 9 = -4*s. Let c be s*(-3)\/(9\/6). Let o(u) = -3*u + 1. Give o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-425)\/(-25))\/((-5797)\/(-6138))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 12*s + 11. Let x = 6 - 7. Let d(f) = -f - 1. Let a(m) = x*y(m) - 5*d(m). Let h be a(-6). Solve h = -u + 4*c - 11, 13 + 0 = u + 4*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k - 3*k - 1 + k**2 - k.\nAnswer: (k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**2 + 5*s**2 + 13*s + 0*s - 6*s wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = -2, -3*f + 23 = -4*z. Suppose -f*m + 2*m = 0. Suppose m = -2*q + 24. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/2 + 22696*f**2 + 2086445*f\/2 + 11994017 = 0 for f.\nAnswer: -45346, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*j - 2153*j + 135*j - 2712*j in the form f*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1510)\/(-510) + -3)\/(2702\/12). Let v = 3881663\/1378020 + b. Find the common denominator of v and 25.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, 3\/4, 17, 9, -0.18, -49 in decreasing order.\nAnswer: 17, 9, 3\/4, -0.18, -49, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83025 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 2*c**2 + c. Let y be d(-2). What are the prime factors of (-2)\/11 - (-48)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 19*k - 16. Let q be j(20). Let d(u) = -u**3 + 7*u**2 - 8*u + 2 - q - 4. Give d(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000385356 rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 6)*(2*c - c + 0*c)*(2*c - c - 15 + 0).\nAnswer: 3*c**2 - 45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 - -0.14. Let x = -0.32999 + i. Round x to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**3 - 9*t**2 + 21*t - 16. Let o(k) = -3*k**3 - 4*k**2 + 10*k - 7. Let c(y) = 9*o(y) - 4*z(y). What is the derivative of c(b) wrt b?\nAnswer: 3*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/38)\/(2817\/35682).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(190))\/sqrt(10).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o - 3*o)*(241*o + 649*o + 876*o).\nAnswer: -1766*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17445127 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 18*u**2 + 1166*u - 2395. Calculate h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466360159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*n - 11 - 10, 0 = -2*n - 10. Solve -4*x + 6*o = 2*o + 16, 2*o - 13 = k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24030 (base 5) to base 8\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 87 = -23. Suppose -6*u = -t*u + 20. Solve -2 - 2 = -u*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let a = -18 - -23. Let k = a - m. Solve -2*t + 16 = k*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 1 + 3*i**4 - 479*i**3 - 4*i**2 - 2*i - 5*i**4 + 460*i**3 to n + g*i**2 + q*i + d*i**3 + a*i**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362817835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = t + 11 + 4, 5587*y = 5591*y + 6*t - 5*t - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4916, 2, -301, -5, 4 in increasing order.\nAnswer: -301, -5, -2, 2, 4, 4916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21. Let b = r - -11. Calculate the greatest common divisor of b and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 7) to base 15\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - (1 + 8))*2\/240. Let k(w) be the third derivative of 0*w - 4*w**2 - 1\/6*w**4 + 0 + 2\/3*w**3 - i*w**5. What is k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32851.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -299.\nAnswer: -1\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7324 and 6.305?\nAnswer: -46177.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -0.2, 6\/11, 2\/7, 16, 0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 3*q**3 + 5*q - 1. Differentiate w(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**4 - 7*f**3 - 3042*f**2 + 87413.\nAnswer: -8*f**3 - 21*f**2 - 6084*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4 - -6)*40\/(-6). Let b(t) = t**2 + 30*t + 58. Let p be b(u). Let o = 61 - p. What is the smallest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxgjd. What is prob of picking 1 j and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2603297, -2603440, -2603685, -2604038, -2604505, -2605092?\nAnswer: -2605805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2*4)\/(456\/342)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -7, -1 in descending order.\nAnswer: 5, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 32.8. Let x = -9 - h. Let g = 4 - 4. Which is the closest to x? (a) -5 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12))\/(1320\/(-576)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-36)*-2*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -191015 and 6.4.\nAnswer: -1222496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 361 in -0.1, -4, -9\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*s*s\/(s\/s**(-5\/4))*((s**1*s)\/s)**(-23\/2) assuming s is positive.\nAnswer: s**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 64426516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2))*2 + -2 + sqrt(162).\nAnswer: 2 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/54*(-18)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211\/2 - -104. Let j = 2\/275 - -269\/825. Let g = -57 + 227\/4. Which is the nearest to g? (a) j (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 867072030 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 1. Let h be s(2). Which is the closest to -2\/5? (a) 4 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2824 - 2823.64. Let g = -0.8 + 0.3. Let c = g + l. Is c >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4869*h**2 - 4868*h**2 + 5*h + 2*h - 7*h + 9728*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -9*f**8\/56 + 3*f**4\/4 - 7*f. What is the third derivative of j(l) wrt l?\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcccccccwcwcccccccc. What is prob of picking 1 c and 3 w?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/(38\/(-1026)). Let r be -5*(3 + (-1 - 0)). Let w = r - x. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**6 - 5*u**5 - 5*u**4 - 10*u**2 - 8*u. Let j(a) = a**6 - a**5 - a**4 - a**2. Let y(l) = -5*j(l) + k(l). Find the third derivative of y(p) wrt p.\nAnswer: -1440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161801*w**6 - 147*w**2 - 38?\nAnswer: 19416120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from {y: 1, d: 12, a: 7}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/5)\/j**(-6))\/((j*j**(-2\/13)*j)\/j)**(-13) assuming j is positive.\nAnswer: j**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 72. Suppose -48 = -4*b - 4*d, -b - 5*d + 17 = -y. What is the lowest common multiple of (9\/12 + (-2)\/b)*4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(936\/(-216)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1142*r**2 - 9*r - 9. Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5809*i**2 + i - 3014 wrt i?\nAnswer: 11618*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144074507341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -267*f + 2784. Give s(10).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*h - 1 - 4, h - 9 = -3*v. Let x = 5 + -5.3. Put 0, h, x in decreasing order.\nAnswer: h, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose -5*u + 3*d - 8 = -i, -4*u + d - 12 = 0. Let l = u - -4. Solve 0 = -l*v + 5*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 91, -0.5, -2, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 6*m - 5*q, -564*q = -3*m - 565*q - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2 and -43.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*b - 113 = 0, 2*j - 3*b - 50 = -0*b. Suppose 6*k + j = 7*k. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442728 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491425?\nAnswer: 5, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.622 rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 697*a - 445. Let q = 36 + -35.814. Put q, 0.4, a, -2\/9 in increasing order.\nAnswer: -2\/9, q, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545689*m**3 + 0*m**2 + 0*m**2 + 1545687*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-158)\/(-470) - (-1*66\/(-55))\/(7 + -4)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/7)\/(8\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4) - (3 + (-1)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22749996, 22749966, 22749888, 22749738, 22749492, 22749126, 22748616, 22747938?\n\"Answer: -4*g**3 - 2*g + 22750002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 12, 113.\nAnswer: -1, 1, 12, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 1072*k - 1089*k - 73, -k + f = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -16) + (-2 - (-7 + (-4 - -5)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14731970 rounded to the nearest 100000?\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 o, and 1 u when three letters picked without replacement from oounonozww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10638534?\nAnswer: 2, 3, 29, 61141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -450754*5\nAnswer: -2253770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 55 = 2*x - 3*f, -2*f - 34*f = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-30))\/(-5*12\/75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -522*h**5 - 2*h**3 + 298 - 298 + (-2*h**2 + 0 + 0)*(-2*h**3 + h**2 - h**2) + h**5 - 2*h**3 + 2*h**3.\nAnswer: -517*h**5 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 473.36427 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 3*q**2\/2 - 19*q + 15. What is the tens digit of i(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1858 by 47.\nAnswer: -1858\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -5\/3*s**3 - 155*s + 0 + 5\/2*s**2 + 5\/12*s**4. Factor o(n).\nAnswer: 5*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.926968l in millilitres?\nAnswer: 9926.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Suppose -j = t*j - 75. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.103702.\nAnswer: 0.103702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-45)\/300)\/(0 + 327\/(-22)). Let a = n - -42923\/13080. What is the common denominator of a and (-2)\/3 + 1145\/30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 3*i - i. Let w(d) = -21*d - 21*d + 52*d - 11*d. What is w(a(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b - -1d?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-5)*(-26750)\/4280.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32096960 divided by -224?\nAnswer: -143290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(a - 4*a + a) + (-48 + 60*a + 48)*(5 + 6 - 53).\nAnswer: -2522*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/35 + 2\/105. Let t(w) be the first derivative of -2*w**2 - h*w**3 + 0*w + 1. Suppose t(x) = 0. Calculate x.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -4*h. Let c = 508 + -432. Suppose 4*k + 5*p - 52 = 0, -p - c = -k - h*k. 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 v(h) = -25*h - 17. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**2 + 5*c. Let z(s) = 99*s**2 + 44*s. Let l(n) = -44*i(n) + 5*z(n). Let v = 14 + -12. Let t(a) = 4*a**2 - 3*a**2 - v*a**2. Calculate t(l(b)).\nAnswer: -121*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*12\/300*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 = 5*d - 402 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -198 and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -652, -596, -510, -400, -272?\n\"Answer: -y**3 + 21*y**2 - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:43 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 362635681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1018192 to 4 decimal places.\nAnswer: -0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680 divided by 560?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**2 - 22*l + 24. Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, -1\/104, -69, 0.09, 3\/8 in descending order.\nAnswer: 3\/8, 0.09, -1\/104, -15\/7, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 53*n**3 - 1 + 9*n**3.\nAnswer: -44*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s - 4*m + 10, 5*s - 10 = -2*m. Let j be -4*1\/s - -5. Put -7, j, -3 in descending order.\nAnswer: j, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - -2*sqrt(7))**2 + sqrt(7))*1 + sqrt(35)\/(sqrt(10)\/sqrt(2)).\nAnswer: 2*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4)\/(106856\/(-2109))\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241\/9 or 1494?\nAnswer: 241\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:40 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*84\/(-224)*20\/(-6)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1045 and 127\/30.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5754?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4 + (5 - 31 - 17)*(-3 + 2 - 2) + 7 - 3 - 3)*(22 - k**3 - 22).\nAnswer: -126*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1757 - -1914. Calculate the remainder when m is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 51488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80\/71 - -3400\/497. Let b = p - 382\/35. Which is greater: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, 0.4, 6\/59, 3 in descending order.\nAnswer: 4, 3, 0.4, 2\/7, 6\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = 3012*h - 3049*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2936263 from 0.4.\nAnswer: 2936263.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 894 + -893.291. What is i rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/212382 and 193\/78660.\nAnswer: 2123820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*g**5 + 4\/5*g**3 - 2\/5*g + 0 + 0*g**2 + 0*g**4.\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/80)\/(3\/(-4)). Let p(a) be the first derivative of 2\/15*a**3 + 2 + b*a + 2\/5*a**2. Solve p(v) = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 30 - 31)*(-3*t + 2*t + 2*t) to y + s*t and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -17668, -9, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/24 - m**3\/3 - m**2 - 3. Let g(p) be the second derivative of a(p). What is the derivative of g(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -3*i. Suppose 2*l - i = l. Solve l*d + o = -18 + 4, -2*d + 2 = -4*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12003 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h - 54480 = -56*h. List the prime factors of h.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 1320 - 808 = -1374. Solve -287 = j*o - 123*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -82*y**2\/11 - 6736*y\/11 - 984\/11 = 0. What is y?\nAnswer: -82, -6\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*m**3*q**3 - 21*m**3*q**2 - 5*m**3*q + 149*m**2 + 2*q**3 + q wrt q?\nAnswer: 84*m**3*q - 42*m**3 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3824 - -13.4054. Let d = q - 11. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 10 = -12*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -52*k + 3. Let n be a(-1). Suppose 44*o = n*o - 825. What is the greatest common factor of 60 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-4\/15)\/z)\/((z*z**(-21)*z)\/z))**(-2\/37))**(25\/3) assuming z is positive.\nAnswer: z**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h + 0 + h - 1 + 1 - 3*h - 5*h + 5*h + (1 + 1 - 1)*(h + 2*h - 2*h))*(-3*h + 0*h + h)*(-4*h - 2*h + 5*h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1809444 divided by -3\nAnswer: -603148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26187\/(-4606) + 6 - 5530\/15484?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*f**3*v**3 + 2*f**3 + 37*f**2*v - 8*f*v**2 - 40*v**3 - 3 wrt v?\nAnswer: 720*f**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-2*3)\/3. Let c(v) = 2*v - 14 - 2 + h. Let s be c(8). Is s at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 0, 2*g = 5*c - 3*g - 1435. List the prime factors of c.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (3 - -1))\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963*i + 396 = -954*i. Is i a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (679 - 679 + 6*q**2)*(-2*q + 3*q + 0*q) to d*q + a + h*q**2 + p*q**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26961 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-264))\/((-1)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**10)\/i*i)**(-4\/3)\/(i*i**0)**27 assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 4. Suppose 2*h + q = -d, 3*h + 2*d = -2*d - 9. Let l be ((-2)\/h - -5) + 0. Solve -j + 5*j = -l*r + 4, -j = 4*r - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1841, 6768, 11695, 16622, 21549?\nAnswer: 26476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cpc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Suppose k - 2*b + 3 = -2, 3*k - 20 = -b. Sort q, k, 6 in descending order.\nAnswer: 6, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1009734234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25671, -25677, -25687, -25701, -25719, -25741?\nAnswer: -25767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 4. Let k(l) = 8*l - 6*l - 3 + 8 - 4*l. Suppose 0 = 4*w - 3*g - 23 + 2, 4*w = -2*g + 26. Give w*i(m) + 5*k(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**3 - 5*r**2 + 7*r + 45. Suppose -4*n + 2*j = -9*n - 29, -5*n - 26 = 3*j. Is z(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006866302 rounded to seven decimal places?\nAnswer: -0.0000687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296988*d*z**2 + 383221*z**2 wrt d?\nAnswer: 296988*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 y when three letters picked without replacement from {f: 1, k: 4, e: 2, y: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**3 + 18*x**2 + 7*x - 18. Let o(v) = 7*v**3 - 14*v**2 - 6*v + 16. Calculate 4*a(g) + 5*o(g).\nAnswer: 3*g**3 + 2*g**2 - 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**4 + 24 + 2*w**2 - 37 - 6*w + 15 in the form o*w + k*w**4 + a + m*w**2 + p*w**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.01674361\nAnswer: -2.01674361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 84*g + 449 = -631 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 (base 14) in base 10?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 37 + 213 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Let y(c) = -k*c + 13 + c - 17. What is y(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9158, -5, -15, 4, -3.\nAnswer: -15, -5, -3, 4, 9158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146276031949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 10*y + 1402 = 4*w, 2*w = -4. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630327494.\nAnswer: 2, 577, 546211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1355*w + 3622. Let l(m) = -37938*m + 101412. Let a(g) = -57*j(g) + 2*l(g). What is the first derivative of a(y) wrt y?\nAnswer: 1359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11756, -2\/17, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1737 + 1736. Let w = 0.06 - -2.94. Let k = 2.97 + -3. What is the nearest to -0.1 in l, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4154\/3 + -1384. Solve g*q**2 + 4\/3*q**3 + 1\/3*q**4 - 4\/3*q - 1 = 0 for q.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 3026602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 944903*v**5 - 46*v**2 + 441 wrt v?\nAnswer: 56694180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g + 47. What is the units digit of m(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(0 - -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523485 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203418916?\nAnswer: 2, 50854729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gszitrtsi. What is prob of picking 1 g, 1 s, and 2 i?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = z + 7, -3*v + 4*z - z = -9. Is v*-6*2\/(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/85, -46, -10\/533, -2\/7?\nAnswer: -10\/533","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2517 * -23\nAnswer: -5.7891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -175 or 23687?\nAnswer: 23687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 72*r**3 - 432*r**2 - 1080*r - 972.\nAnswer: -4*(r + 3)**3*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1566141783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 15.810339.\nAnswer: 17.810339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*70\/(-3). Let h be 14 + (6 - (-13 + 8)). What is the greatest common factor of h and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 28*w**4 - 65288*w**3 + 37983532*w**2 + 87123552*w + 21790224 = 0.\nAnswer: -2, -2\/7, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*w**2 + 53*w**2 + 36*w**2 - 1456*w + 29*w**2 + 1468*w.\nAnswer: 223*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*m + 18 + 60 + 10. Solve 3*k + g - 7 = -6, m*k - 4*g = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*x - 63. Let f(q) = 6 + 0 - x + 2*q + 0. Calculate f(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**4 - d**4 - 5*d**4 + (-2*d**2 + 2*d**2 + d**2)*(-d + d - 2*d**2) - d**4 + 4 - 4 - d**4 + 2*d**4 + 0*d**4 + (-1 + 5 - 1)*(-4*d**3 + 4*d**3 - d**4).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -149*y**3 - 10*y**2 + 15*y + 31. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-1 - 0) + 0). Let r = -472 + 477. Let j be (-98)\/(-70) + 9\/15. Sort j, c, r.\nAnswer: j, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.959 - 0.141. Let v = -1.1 - h. Let c = -13 + v. Does -2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.16 - 6940191.\nAnswer: -6940187.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -36446.07 to the nearest 10.\nAnswer: -36450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/(-16) - 2)\/(3\/(-6)). Let r(q) be the first derivative of 2*q**2 - 19*q + 2. Let w be r(l). Calculate the greatest common factor of w and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4498534 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 10. Let h(i) = 3*i + 19. Let x(f) = -3*h(f) + 5*r(f). Let l be x(7). Factor -4\/3*p**2 + 2\/3*p**5 - 2\/3*p + 4\/3*p**4 + l + 0*p**3.\nAnswer: 2*p*(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34779\/20 bigger than -1740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-4)**2 + 4*sqrt(72) - (sqrt(2) + sqrt(4)\/(sqrt(32) + sqrt(2)) + sqrt(6)\/sqrt(3)*4)**2*-1.\nAnswer: 24*sqrt(2) + 8552\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -1 (c) 2 (d) 2\/43 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + 3 + 0 - 5*q**2 - 2 + 2*q**3 in the form i*q**2 + a*q + c + x*q**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(35)\/sqrt(5)) + sqrt(45))\/((sqrt(225) - sqrt(9))*3)*-6.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 - 96*n - 18. Let c be p(-19). Which is greater: 1\/63 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -0*i - 675. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 33. Let a be 192002\/(-4) + 5\/s. What is a rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313200 (base 5) to base 16\nAnswer: 65c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.698 + -0.309. Let p = -14.993 + 15. Let d = x + p. What is the nearest to d in -2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94143, -188773, -283405, -378039, -472675, -567313, -661953?\nAnswer: -756595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4 + 2*k**3 - 250514*k**2 - 2443448?\nAnswer: 4*k**3 + 6*k**2 - 501028*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*s = -338*s - 253*s + 16276 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/14)\/((-6)\/(-14)). Factor 0*c**2 + 4\/3*c**3 + 0 - 2\/3*c + 0*c**4 - d*c**5.\nAnswer: -2*c*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose -3*d + 9 = 3. Solve 3*h = -4*g + 32, -g + 31 = w*h + d*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 7*g + 4. Suppose c - 2*c = 4. What is the units digit of v(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 z when three letters picked without replacement from {z: 2, n: 1, b: 2, e: 11}?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1510*n**5 - 1510*n**5 + 113*n**2 + 62*n**6 wrt n?\nAnswer: 7440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-104)\/6 + 1 - 2 and -26\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, -0.2, -6, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.9, 3\/5, -2.\nAnswer: -2, -0.9, 3\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -93 (b) -3\/11 (c) 995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -25687\nAnswer: -128435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let p(n) = -n**3 + 2*n. Let q be p(2). Let r be 8\/108*(q - -1). Sort -2, v, r in ascending order.\nAnswer: -2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142*(2\/((-4)\/6))\/(17*(-270)\/765).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 - 25*l - 6. Let r be k(6). Let i = r - 21\/2. Which is the biggest value? (a) i (b) 4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by -43368\nAnswer: -7\/1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5114753 + 14?\nAnswer: -5114737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261.5 + 156680749.\nAnswer: 156680487.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -98201 in decreasing order.\nAnswer: 19, 2, -98201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 12*u - 90. Suppose -4 = -4*b, -5*b - 6 + u = -w. Solve w*p + 13 = 3*x + 2*p, -p = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/6 + 255*h**2\/2 - 511*h\/2 - 2877. Factor i(y).\nAnswer: (y - 1)*(y + 511)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170250 divided by 75?\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/r**0))**(-43))**(-42)\/((r*r**(2\/3)*(r**(-5)\/r)\/r)\/(r*r\/r**1)**6) assuming r is positive.\nAnswer: r**(-10802\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*-3*2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 502*x = -506*x + 14, -4*k = 3*x + 37 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -23\/2. Let l = 7 + -5. Suppose -n = l - 3. Which is the second smallest value? (a) i (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*1 - 185*(-1156)\/(-21420)\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-7)\/r)\/r))\/(r**(2\/3)*r))**(-2)\/(((r\/r**(-4\/7))\/r*r*r)\/r*r**(-2)*r**(-3)*r\/r**(3\/8)) assuming r is positive.\nAnswer: r**(-2329\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g**2 + 52*g. Let c(y) = -3*y + 190. Let n(u) = -2*u + 152. Let t(s) = -4*c(s) + 5*n(s). Calculate o(t(a)).\nAnswer: 72*a**2 + 104*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -8*j**5\/5 + 4*j**4 - 10*j**3\/3 + j**2 - 146. Factor h(q).\nAnswer: -2*q*(q - 1)*(2*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let c(z) = 42*z**2 + z + 2. Let i(u) = c(u) + 2*m(u). Let a(t) = -7 + 7 - 16022*t**2 + 16021*t**2. Calculate i(a(n)).\nAnswer: 42*n**4 + n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**4 + 6*v**3 + 7*v**2 + 6. Let p(c) = -6*c**4 - 5*c**3 - 8*c**2 - 5. Let g(w) = -5*n(w) - 6*p(w). Find the third derivative of g(b) wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5*o - 685, -4*p - 5*o = -29 - 564. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitu when four letters picked without replacement from {u: 1, b: 2, i: 2, e: 1, t: 2, z: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 5*h - 6. Let c(w) = 10*w + 69. Let n be c(-6). What are the prime factors of p(n)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*q**3 + 36*q**3 + 2 - 27*q**4 + 25*q**4 to a*q**2 + g*q**4 + p*q**3 + y + m*q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:50 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13105.\nAnswer: 5, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630278575 to the nearest integer?\nAnswer: 25105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/25 - (-6)\/(-15). Solve 0*d = n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 + 470\/3. Which is the closest to -0.1? (a) 0.3 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-18)*(-192 - -183).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 - 4 + 4)*(o - o - 2*o**2) + 3*o**3 + 16*o**4 - o**3 - 5*o**3 in the form n*o**4 + s*o**3 + x + q*o**2 + c*o and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 112 = 15*v. Let d(y) = y**3 - 13*y**2 - 9*y - 19. What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 1. Is 2 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1\/5, 2, 3, -27203?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:37 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i + 1. Let z be j(1). Suppose z = 2*w - 3*s, 6*w - 4*s - 36 = 2*w. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35450457071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0379 + 1.9961. Let t = -0.034 + h. Let p = -3 - -3.04. What is the third biggest value in 1, p, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*-1975.\nAnswer: -414.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123011102010 (base 4) to base 9.\nAnswer: 14320640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8557978629 minus -1.68?\nAnswer: -8557978627.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -296392*d*y**3 - 6531219*d - 255*y**4 - 7*y**2 wrt y?\nAnswer: -1778352*d - 6120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67292 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/606, 3, -2\/11, 2\/5, -3 in descending order.\nAnswer: 3, 2\/5, 1\/606, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 13. Sort 2, o, 0.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-20))\/1*5. Suppose -3*g + g - 10 = 0, -1455 = -m*i - g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 71*c - 64*c. Let f(k) = 46*k**2 + 2*k - 1. Determine f(c).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800310 and 121849?\nAnswer: 135252390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(112) + 0 + -1 + -1*sqrt(7))**2.\nAnswer: -6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 588, 881, 1174?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 v when four letters picked without replacement from {a: 8, l: 3, v: 4, o: 4}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 > 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 471?\nAnswer: 26\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 4*k - 1. Let c be b(3). Let w be 1 + -268*(0 - 3\/6). Suppose w = c*h - 30. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 66*s - 63*s = 2*z + 58, 0 = 4*z + 3*s - 47 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-20) - 1) + (-48)\/(-20). What is the nearest to -0.2 in 0.4, f, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -20. Let u = p + -10. Suppose 5*k + 1 = u*c, k - 1 + 10 = 5*c. Solve -c*f - 15 = -7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 35.3. Let q = d + 9.3. Let s = q + -4. Which is the nearest to 1? (a) -3 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00697823 to six dps.\nAnswer: 0.006978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001321 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-18)\/4 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27826244852 + 27826244852 + 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 17 = 6*n + 3*i, -70*n - i = -66*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 38*f - 384. Suppose -3*q + f = 4*i, 5*i - 27 - 10 = 2*q. What is the least common multiple of i and 46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19898*g + 40818.\nAnswer: -19898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3361*y - 431*y + 131850 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 9*v**2 + 21*v + 11. Let x be f(-3). Let 4\/7*h**x + 0*h**3 - 2\/7*h**4 + 0*h - 2\/7 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1626*k**6*n**2 + 16*k**4*n**2 - 125*k**2*n**2 - 29*k**2 + 2 wrt k.\nAnswer: -195120*k**3*n**2 + 384*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*r + 3. Let q = -211\/565 + -3\/113. What is the smallest value in r, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1312, -2600, -3864, -5104, -6320?\nAnswer: -7512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -34.396.\nAnswer: 447.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23424876.\nAnswer: 2, 3, 197, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-5) + 4\/10. Let y = 9 - s. Solve -y*b + 8 = 0, -1 = 5*d + 3*b - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105420 - 589*q - 105410 - 860*q.\nAnswer: -1449*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 - 1 = 0. Let h(a) = 2*a**2 + a - a**2 - q*a**2. Give h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 557 - 394. Calculate the remainder when t is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 203*i**2 + 2642*i + 756. Calculate b(189).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by (2 - -88) + -10 + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 41892402*r - 438743336332401 = 0. Calculate r.\nAnswer: -20946201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4178 is divided by 506.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19759 (base 16) in base 13?\nAnswer: -38608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 3)*(-2 + 5 - 5)*(-6071*r + 3755*r + 3296*r).\nAnswer: -9800*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**2 - 2*p**4 + 15*p + 2*p**2 - 6*p**2 + 0*p**4 - 2*p**3 as b*p**4 + q*p + u + o*p**3 + r*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70410373.19 rounded to the nearest one thousand?\nAnswer: -70410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -2*i - 60*w, -5*i - w - 210 = -218 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155.25 and -2.7?\nAnswer: -419.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -87 in -643, 0.4, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*g - m, -3*m = 5*g - 2*m - 39. Let h = g + -11. Let q = -37.7 + 38. Which is the closest to h? (a) q (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3 = -12*k + 16*k, 0 = 3*a + 3*k + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 765ab03?\nAnswer: 765ab01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104932453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15\/14 (b) 2\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**2 - 40*z - 12. Let h(a) = -8*a**2 - 40*a - 10. What is -5*h(j) + 4*v(j)?\nAnswer: -4*j**2 + 40*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11) + -3)**2 - (sqrt(1584) + 2*sqrt(1584))**2.\nAnswer: -14236 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, -18, -217, 2, -12 in increasing order.\nAnswer: -217, -31, -18, -12, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*r. Suppose -4*p - 20 = r, 0*o + 4*o - 36 = 4*p. What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kuauarkrk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439250 rounded to the nearest 100000?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*j - 93, -4*j - 2*s - 3*s = 133. What is the common denominator of -41\/60 and (-620)\/2016 + j\/(-72)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199549101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4007*i**2 + i - 2405?\nAnswer: -8014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1093920 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 101. Which is the nearest to h? (a) 0.2 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 5. Let c be q(-3). Suppose -h + c = -5. Let p(b) = b**3 - 7*b**2 + b - 6. Let o be p(h). What is the greatest common factor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 7. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -498 less than -33357\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - 61. Suppose -8*j + 7*j - q - 18 = 0, -5*q - 10 = j. Let s = j - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3 + sqrt(117))**2 + 5.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -815*s - 3035. Calculate x(-5).\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/6 - 11*o**3\/6 + 11*o**2\/2 - 5*o. Let u(y) = -y**2 - 6*y + 6. Give -6*t(w) + 11*u(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 44*s - 4. Let w(z) = -41*z + 130. Let x be w(3). Is 8 a factor of o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 21. Let w(c) = 11. What is -2*d(m) - 5*w(m)?\nAnswer: -2*m**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) 0.11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2045 to the nearest ten.\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/37)\/j**(-2\/95))\/(j\/j**(1\/18))**(-28) assuming j is positive.\nAnswer: j**(836381\/31635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 13 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 551239886 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 46*r - 365. Calculate the remainder when 181 is divided by t(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (4 - -2 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*22\nAnswer: -50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1151\/52 - 89\/4. Calculate the common denominator of m and 8*6\/768 - 289\/2448.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4463911.\nAnswer: 17, 262583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v + 102 - 560 = 124 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177475497 by -1693.\nAnswer: -104829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-12)*(-7)\/(-140)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 9. Let w be k(-7). Let d(y) = w*y + 2*y**2 - 3*y**2 + 5*y**2. What is d(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105*p + 82*p - 98*p = 4*p + 20250 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25449 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57220\/7 - 8174. Let d = 1.29 + -1.2. What is the nearest to d in f, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 g when four letters picked without replacement from {t: 11, g: 9}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119575\/208 + 575. What is the common denominator of -93\/52 and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6222 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c - 46 = 0. Let i = 125 - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 7. Let l(d) = -19*d**3 - 21*d - 22. Let o be l(-1). Suppose -19*m - 5*x + 9 = -15*m, 4*m + 2*x = o. Solve u*v = 2*v + m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -415091278533 + -5.\nAnswer: -415091278538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134851344\/3163 + -42634. Let d = k + -306815\/6326. Let y = 165\/4 + d. Is -6 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2961?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29526098.\nAnswer: 2, 7, 349, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79313?\nAnswer: 13, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/11 or -19194?\nAnswer: -19194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + y + 0*y**2 + 2*y**2. Let b be k(1). Let r = 5 - b. Solve 12 = r*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 717 - 54 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -29*h + 27*h - 5*m, 2*h = -6*m + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34268132561 from -0.04223.\nAnswer: -34268132561.04223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 16) to base 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 16. Let a be u(-18). Let o = 75 + a. Calculate the remainder when 39 is divided by 6*(o + (-19)\/15)*-10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxixxixx.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -2808, 108 in decreasing order.\nAnswer: 108, 1, 0, -2808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0615 - -0.063699. Round n to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*c - 5*f, -c = 4*c - 3*f - 1. Solve c*j = -0*j + 3*n + 22, -29 = -5*j + n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10136 divided by -56\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*y**3 + 40 + 8*y - 91 - 7*y**3 + 45 in the form s*y**2 + o*y + v*y**3 + a and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from xsxsxzxxs?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0. Let p = 1.2 + 7.8. Let t = p - 7. What is the closest to t in q, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/2)\/(2\/8). Suppose 0*a - t = -4*a. Factor 4*d**5 - 3*d - 2*d**5 - 7*d + 8*d**4 - 8*d**2 + a*d + 6*d**3.\nAnswer: 2*d*(d - 1)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.333 * 4.223\nAnswer: 1.406259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2 + 6*k + 25. Let w(s) = -s + 7. Calculate the smallest common multiple of j(7) and w(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 11*g**2 - 79*g - 2. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81946 - 81885. Let r(a) = -185*a**3 + 2*a**2 + a. Calculate the remainder when r(-1) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 2. Let i be l(-5). Let b(g) = -g**3 - 8*g**2 - 8*g - 5. Let p be b(-7). Let r = p - 0. Solve r = u - i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -20?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83331*r**2 - 2094*r**5 + 83334*r**2 - 914*r - 166659*r**2 - 2 wrt r.\nAnswer: -125640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443667467 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 4*w - 4. Let b(k) = -k - 1. Give -12*b(z) + 3*h(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 249*t**2 - 9446*t - 9696 = 0. Calculate t.\nAnswer: -1, 48, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9d + 13f8?\nAnswer: 135b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let s(q) = 142*q + 145. Let o be s(-4). Let w = o - -1273\/3. What is the fourth biggest value in -0.3, w, 3\/4, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 35 = -3*y - 2*j, 0 = -5*y + 5*j + 60. Solve 7*g + 36 = y*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + (-20 - (-31 - 26 - -23))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2210 (base 11) to base 10\nAnswer: -2915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3 - 450*f**2 - 3*f + 450 = 0.\nAnswer: -1, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 15*s**2 - 2*s - 20. Suppose -14*o + 9*o = 75. Determine k(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -653 or 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 10*m**2 - 8*m + 12. Let w be r(-9). Suppose -a = -w*a + 156. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o - 1. Does 26 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*l + 4, 2*l + 4 = 4*l - 5*h. Solve 1 = -l*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7626218 and 908.\nAnswer: 3462302972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 12:16 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 17*f**2 - 59*f + 10. Determine z(17).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*c - 90 = -75*c. Which is smaller: -34 or c?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + u - 11. Let a(r) = -3*r**2 + 2*r - 16. Suppose 63 - 73 = 2*g. Let s(x) = g*a(x) + 7*j(x). Suppose -f = -3 - 1. What is s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00301316751 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 25. Let w be r(-35). Solve -112*t = -114*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12556520?\nAnswer: 2, 5, 47, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.0037 decades in millennia?\nAnswer: 0.440037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/128*4\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*d + 35 = 0, 3*j - 4*d = -0*d - 22. Let f = j - -8. Find the third derivative of 0*p**2 + 3*p**6 + f*p**2 - 5*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-308)\/11 - 17*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*f + 28, -22 = -2*f - 3*f - 3*x. Let c be (1 + -2)\/((-1)\/f). Suppose -c = -4*s + 238. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*d - 11894 - 13432 = 1386 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2 + 2497*c*g**2*q**2 - 12*g**2*q + 12*g**2 + 4*q**2 wrt c?\nAnswer: -6*c + 2497*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52562 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 43. What is the smallest common multiple of 16 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -1)*(-2 - -3). Let l be h + -1 + 10 - 3. Let o be -11 + l - (-4 + -1). Is o smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.76 + 0.2. Let q = -115.6 - -116.313. Let h = v + q. Round h to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + v - 16 = 4, -2*t - 3*v + 36 = 0. Let y(c) = c**3 - 12*c**2 + c - 2. Calculate the smallest common multiple of y(12) and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1397484, 2794977, 4192470, 5589963, 6987456, 8384949?\nAnswer: 9782442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-16)*m)\/m*m*m**(14\/5)*m)**1 assuming m is positive.\nAnswer: m**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4)\/8*0. Solve n - 5*n - 4 = v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*w + 6. Suppose -w*r = 5*q + 16, -4*q - 6 = 5*r - 0. Let l(x) = -2*x**3 + 11*x**2 + 6*x + 7. Let o be l(6). Solve o*y - 25 = r*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 3. Let t be l(0). Suppose 3*x - 14 = g - t, -3*g - 13 = -5*x. Differentiate 2*r - x*r + 2*r - 3 with respect to r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.4 (c) -33 (d) 12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, u: 1, a: 1}. What is prob of picking 3 v and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 3*z + 6. Calculate b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 + 2. Let s = -24 - -34. Suppose 5*j - s*j = 0. Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + f = 14, 2*t - 2*f - 2 = 0. Suppose -2*b - 3*m + 8*m - 4 = 0, t*b - 36 = m. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15707191 + 15707191 - 2*q**3 - 6*q**2.\nAnswer: -2*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 12*s + 5. Let j be g(-5). Let x(l) = 7*l - 26. Calculate the remainder when x(j) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 15374*n - 3091. Is p(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 at least as big as 17765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45106*r - 4*q = 45103*r - 14, -3*r - 4 = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23934, 47869, 71804, 95739, 119674?\n\"Answer: 23935*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j = 82. Let u = 70 + j. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5636\/7 + -68549\/84. What is the common denominator of -17\/24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 9*u**2 - u - 6. Let q be j(-9). Suppose 2*a - 2*t = 10, 0*t + t = -4*a + 20. Solve 3 = a*v + 4*n, -2*v - 2*n - q*n = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/90 + (-13)\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -31. Let m = h + 63. Suppose 2*v - 3*q = 22, -2 + 70 = 5*v - q. What is the highest common factor of m and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 + 3\/2*w**3 - 1\/2*w + 1 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/57 and 109\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 8, 14, -0.6, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x - 11. Let i be z(13). Suppose -3*q + 5 = m - 0*m, -5*m + i = q. Let y(f) = 2*f**2 + 4*f + 2. What is the least common multiple of y(-4) and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*d = 531*d - 63 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1960*n**3 - 3*n**2 - n + 1. What are the prime factors of y(1)?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 612, 613, 614, 615, 616, 617?\n\"Answer: t + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51168.47ml to litres.\nAnswer: 51.16847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z + 28 = 43*z. Let n(p) = -22*p + 1. Let x(g) = -7*g. Determine z*x(f) + 2*n(f).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 j when four letters picked without replacement from ljllljjl?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 2*d + 1. Let y be m(2). Suppose 4 = 5*l + y. Let s = l + 3. Solve s*w + 6 = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.859 and 3.\nAnswer: 2.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 402461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwaairqpiqqwq. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3437 - 1006. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1246596 divided by -4758.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -167. Let t = -176 + q. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:28 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (45\/20)\/1*64\/6 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102346, 204641, 306936?\n\"Answer: 102295*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let l(a) = -1401241*a**2. Give l(m(p)).\nAnswer: -1401241*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32925 + 46210. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/42 and -37\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 31, 96, 217, 412, 699?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or -13\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -31591?\nAnswer: -31590.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549 times 359439?\nAnswer: 556771011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 23, 22, 23, 26, 31, 38?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -11 + -6 - (0 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 245, 315, 387, 461, 537, 615, 695?\n\"Answer: h**2 + 67*h + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 2*h**7\/35 - 3*h**6\/40 - h**5\/4 + 3*h**4\/8 + h**3\/2 - 7*h**2. Factor x(g).\nAnswer: 3*(g - 1)**2*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, l: 1, q: 2, c: 3}. Give prob of picking 1 o and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 6*x + 6. Let j = -2260 + 2255. Calculate y(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((3 - 0)\/((-36)\/8)). Let f be s\/27 - (-13468)\/36. What is the highest common divisor of f and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -1457*y**4\/4 - 2812*y**2 - 4801*y. Find the first derivative of g(j) wrt j.\nAnswer: -8742*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176423 times 1\nAnswer: 176423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18621471 by 151.\nAnswer: -123321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24872 and -3481.\nAnswer: -28353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t - 2154 = -6114. What is the lowest common multiple of t and 5?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 88\/110) + (-1)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150 - -3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1673884755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (7 + -3 + -9 - 17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2629 divide 218585576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 256336*g.\nAnswer: -4*g*(g + 64084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2604, -1705, 740, 5505, 13364?\nAnswer: 25091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qbqbtnbttqqbqtbtttef.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5819\/20 + 291. Let o = 1\/5 + f. Let w = 4.03 + -0.03. Which is the closest to o? (a) 0.5 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 14*k + 13. Give u(11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 4*d - 8. Let a be g(6). Suppose -150*o = -151*o. Solve o = -s - a*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 128392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318052145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 60*n**2 + 112*n - 455. Give c(-62).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-526 - 13478*d - 13478*d + 26959*d)*(-3*d + 2*d + 6*d + (0 + 1 + 0)*(1 - 1 + 2*d)) to b*d + z + i*d**2 and give b.\nAnswer: -3682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 1404942*a**4.\nAnswer: a**4*(a - 1404942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 10 + 2. Find the common denominator of -13\/14 and i + (-3 - (-28)\/32).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -84. Let p = y - -67. What is the remainder when p is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*j**2 - 8*j**2 + 4*j**2 + 5*j**2 as x*j + m*j**2 + d and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 630761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 6*o - 9. Let m(b) = 4*b**2 - 5*b - 8. Let u(j) = 4*m(j) - 3*n(j). Let a be u(4). Suppose c - a - 5 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(3\/3 - 2). Let w(h) = -6*h**3 + 6*h**3 - 10*h**2 - 7 + 4*h + h**3. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1297*t + 5916. Let m be x(-4). What is the highest common factor of m and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*r - 481*r + 234*r - k + 2, 5*k = 3*r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(19) + sqrt(19) + 2 + sqrt(19))**2 + sqrt(19)).\nAnswer: 65*sqrt(19) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/10826, 29, 6?\nAnswer: 1\/10826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -771 + 22361\/29. Sort 3, m, 1\/6, -7 in descending order.\nAnswer: 3, 1\/6, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-39)*k)\/k)\/k)\/((k\/(k\/(k**(12\/7)*k*k*k)))\/k) assuming k is positive.\nAnswer: k**(-306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, -11, -1, 2\/9 in descending order.\nAnswer: 4.1, 2\/9, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1872) + 1))**2 + (2 + -2*sqrt(832) - sqrt(832)) + -5.\nAnswer: 360*sqrt(13) + 29965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 496*d**3 + 4*d**2 + 3*d - 347. Let b(n) = 1489*n**3 + 10*n**2 + 8*n - 1040. Let t(h) = -3*b(h) + 8*k(h). What is the derivative of t(q) wrt q?\nAnswer: -1497*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5144620 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 114\/190 + (-2)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2. Let s = -25 - -27. Let m(r) = -3*r**2 - 6*r**2 + 5*r**s. What is m(a(o))?\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 2 = -55 - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 4 - -89) + 1 + -20)*8\/6.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21891744.\nAnswer: 2, 3, 7, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -4.228\nAnswer: -6.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 - 14) + 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7)\/(6\/462*22). Let t = -1.5 + 1.3. What is the closest to d in t, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, -0.4, -5\/6, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 169184931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3564252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789342 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018162397 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a. Let w(i) = 101*i - 152. Let j(g) = -588*g + 917. Let m(q) = -6*j(q) - 35*w(q). Determine x(m(f)).\nAnswer: 28*f + 728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1225043830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 174, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 14*o**3 - o - o**3 + 11*o**3 - 45*o**2 as f*o**2 + q + v*o + p*o**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 4*j**7\/21 + j**6\/30 - 215*j**4\/12 - 11*j**3\/2 + 76*j**2 + j - 241. Find the second derivative of z(n) wrt n.\nAnswer: 160*n**3 + 12*n**2 - 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/4 - (44\/16)\/11. Let p(h) = -42*h + 8 + h**n + 10 + 41*h. Let b be p(10). Calculate the greatest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316.9 * 3.7\nAnswer: 1172.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*i = -5, -2*i + 4 = -2*a - i. Let k be 1 + -2 - (4 - a). Calculate the common denominator of ((-30)\/(-100))\/(k\/(-270)) and -5\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.2. Let n = 2 - 1.2. Let d = -0.4 + n. Which is the nearest to u? (a) -3 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 - -4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(17)*2 - sqrt(34)\/sqrt(2)*-1 - 6*(sqrt(1700) + 1))**2.\nAnswer: 828*sqrt(17) + 80973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) -4.9 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7775 - -7775.5. Put k, -0.3, 1, -50\/3, 2\/3 in ascending order.\nAnswer: -50\/3, -0.3, k, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, 185, 485, 783, 1079, 1373?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -186, -981, -2990, -6819, -13074, -22361, -35286?\n\"Answer: -101*w**3 - w**2 - 85*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172781*i**3*r**2 + 3*i**3 + 226*i**2 + i*r**2 + i + 16 wrt r.\nAnswer: -345562*i**3*r + 2*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 + 361. Let y = i - 104. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/27257 - 527075\/20878862. Find the common denominator of r and -73\/22.\nAnswer: 8426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u**3 + 22*u**2 - 5*u + 11. Give m(3).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -7320?\nAnswer: 7318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.08 (b) -0.09 (c) -1\/88 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**3 + p**2)*(153*p - 426*p - 103*p).\nAnswer: -752*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - -797. Let w = -826 + i. Let -16\/7*q + 4\/7*q**w - 40\/7*q**2 + 10\/7*q**4 + 0 = 0. Calculate q.\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 - 22*t - 12. Let i = 31 - 21. What are the prime factors of w(i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24.01, 235, 2\/13 in increasing order.\nAnswer: 2\/13, 24.01, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374451\/3465 - 49\/(-42)*2*5\/(-175).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o - 5750 + 3242 = 0 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -17*a + 7. Let s be z(2). Let w be ((-8)\/(-6))\/((-33)\/s + -1). Suppose -h + 2*p = -26, -h - 108 = -w*h - p. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, -55, -211, -367, -523?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -866483, -866485, -866489, -866495, -866503, -866513?\n\"Answer: -o**2 + o - 866483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**7\/525 + s**6\/75 + s**5\/25 + s**4\/15 + s**3\/15 - s**2\/2 + 9. Let t(z) be the second derivative of g(z). Factor t(c).\nAnswer: 2*(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000394 to five decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -57. Let q be 6\/(-12) + -1 + (-3)\/x. Solve -2*s + 5 + 5 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 866 and 788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -7*m - 18. Suppose 195 = m*s - 2*r + 46, s - 58 = -r. Which is smaller: s or 368\/7?\nAnswer: 368\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -292, -69, 326, 893, 1632?\n\"Answer: 86*g**2 - 35*g - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-527)\/(-3410) + (-3)\/15 - 11535\/330?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 439.01188 + -439. What is t rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -4. Let d(o) = 2*o**4 - 4*o**2 - 3*o. Let h(p) = p**4 - 3*p**2 - 3*p. Let s(g) = c*h(g) + 3*d(g). Find the second derivative of s(k) wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 1. Let t(j) = -j - 1. Let w(q) = 4*q**2 + 22*q + 6. Let f be w(-5). Give f*z(h) - 5*t(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1738*s**3 - 1546*s**4 - 3479*s**3 + 1741*s**3 + 1181 wrt s.\nAnswer: -6184*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757.46 rounded to the nearest ten?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 2*u**3 + 5*u**2 + 13*u**2 to q*u**3 + p*u**2 + b + t*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3067*r = 3065*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5510754 centuries?\nAnswer: 55.10754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83 (base 12) to base 3.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*n + 2*j**2 + 17071*j*n + 42*j + 6*n - 77786 wrt j.\nAnswer: 2*j*n + 4*j + 17071*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 2*i**2 + i + 2. Let c be j(-2). Sort 5, 1, c, -5 in increasing order.\nAnswer: -5, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2617.1 + 2617.25297. What is r rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2413 + -4?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Let d be 4 + ((-3)\/2)\/((-9)\/(-21)). Which is the closest to n? (a) -3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2553\/3587?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(208)\/sqrt(4) + sqrt(52).\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 71 + 5 = 0. Let p = -16 + q. Let s = -13 + p. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101109243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -64\/3. Let k = -0.867 - -0.367. Which is the smallest value? (a) 0 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -13*u + 12*u + 2057209, u = -4*y + 2057181. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1048 - -0.1048. Which is the second biggest value? (a) h (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(833) + -1 - sqrt(833) - sqrt(17)) + sqrt(17))**2*6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17027 (base 8) in base 13?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 81.8339 (b) 0.5 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 44. Let p = 20 - v. Solve n = 4*i - i + 13, i - p*n = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 0.01, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4189756 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.669 centimeters to meters.\nAnswer: 1.18669","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:03 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8*h + 11*h = 25, -8*q - 4*h = -358 + 314 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7))*2 + -5.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14955, -30662, -47119, -64326, -82283, -100990, -120447?\n\"Answer: -375*u**2 - 14582*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29977200 rounded to the nearest 100000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26542 is divided by 2929?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2225119.04 to the nearest one hundred.\nAnswer: 2225100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490*o + 3*p - 21 = 1485*o, 3*p = 4*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-18))\/((-1)\/(-10)*(-1)\/2)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34\/18781 - -101999407\/112686. Let o = q - 914. Let w = 173 + -862\/5. What is the common denominator of o and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-24)*54\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14986*o + 2*o**2 + 14986*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2148*z. Let c(k) = 10*k**2 + 10*k. Determine q(c(l)).\nAnswer: -21480*l**2 - 21480*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -24, -38, -46, -42, -20, 26?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in -1\/3, 18, 0.5, 1.6, 4\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6730 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1343*a**2 + 6374 - 1242*a**2 - 19109 + 6367 + 6368.\nAnswer: -2585*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 113. Solve -4 = -d*k + 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7 (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*b + 30. Suppose 0 = b*h + 2*v + v - 14, 4 = -2*v. Solve -h*t = 14 + 11, 0 = -g - t - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2, -76, 3, -483, -17.\nAnswer: -483, -76, -17, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 815 + -775. What is the highest common divisor of 40 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 58 = 74. Suppose -92 = -c - 4*q, -5*c + 2*c - k*q + 268 = 0. What is the remainder when c is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, l: 1, p: 1, u: 1, g: 1, a: 1}. Give prob of sequence ujjl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24495*l**3*m**2 - 3*l**3*m - 15294*l**3 + l**2*m**2 wrt m.\nAnswer: 48990*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -5 in descending order.\nAnswer: 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**10\/((t*t\/(t*t**(-9))*t)\/(t**(1\/6)\/t)) assuming t is positive.\nAnswer: t**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 135. Calculate the common denominator of 10 + -13 - u\/6 and -71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4 + (1 - 2 + 3)*(2 - 5 + 1) + 7 - 6 + 3)*(-498*j**2 - 26*j**3 + 511*j**2 + 7*j**3) to p*j**2 + r + q*j + h*j**3 and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:49 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 134 = 244. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*b - 13. Let a = 9 - b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165 - 739*s - 9796*s + 165 to the form o*s + y and give o.\nAnswer: -10535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.346 + 6.246. Put 1, -61\/9, x in descending order.\nAnswer: 1, x, -61\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/114475 and 143\/25308.\nAnswer: 152480700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.983376841 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*p = 0, 2*a + 358*p - 353*p - 12 = 0. Sort -11, a, 2, 9, -3 in descending order.\nAnswer: 9, 2, -3, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.11 + 14.29. Let u = a - 16.5. Suppose -4*i - 11 = 1. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*b - 707, 26*b + 3*j - 1421 = 22*b. Let d = -5 - -9. Calculate the highest common divisor of d and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -182, -357, -550, -767, -1014?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/6 - 638\/(-58). Solve -2\/3*g**3 - 2\/3*g**4 + 2\/3*g**2 + 0 + u*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 1455*r**3 - 737*r**3 - 3*r**2.\nAnswer: -2192*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 2\/5 (c) 0.85 (d) -4\/243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, -4, -2, -1, 5, 0, 5817 in decreasing order.\nAnswer: 5817, 5, 0, -1, -2, -4, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + -2 + 0 + -2. Suppose -l*b + 0*b = -15. Sort b, -1, -9 in increasing order.\nAnswer: -9, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1555 divided by -5.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 8048104*v**3 - 4048240576564*v**2 - 8096505297456*v - 4048256672784.\nAnswer: -4*(v - 1006014)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 12:40 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -702*n**3 - 8*n**2 + 2344*n. Let q(b) = -468*b**3 - 5*b**2 + 1562*b. Let r(u) = 5*c(u) - 8*q(u). What is the second derivative of r(g) wrt g?\nAnswer: 1404*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y + 3. Give n(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + 4*d)*(-d + d - d + 4 - 4 - d + (3 + d - 3)*(0 - 2 + 1) - 3998 - 15898*d + 31692*d - 15788*d) as j + m*d + z*d**2 and give m.\nAnswer: -3998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/34 - (-2838)\/(-731).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -32. Suppose -3*j - 24 = -2*k - k, 5*k = -3*j + u. Find the first derivative of -k - 31*h - 3*h**2 + 31*h wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4689.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-183)\/(-216))\/61*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 - -545. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3305769706 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, 5, -7 in decreasing order.\nAnswer: 31, 5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4 - 4)*(-2 + 2 + 2*s**2) + (s**2 + 3*s**2 - 3*s**2)*(-5*s - 6*s + 3*s) - s + s**3 + s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122261\/24220 + -5\/2422. Find the common denominator of -83\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*m = -4, 27*m = y + 31*m + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(816) - sqrt(816)) + sqrt(816))\/(-5*sqrt(12)\/sqrt(4)).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 61. Suppose 0 = -m*y - p + 12, 0*p = 5*y - p - 30. What is the highest common divisor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 134? (a) -1 (b) 0 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3740398*c**2 + 720989*c - 3.\nAnswer: 7480796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*(j*j**1)\/j)))**(-5\/7)\/((j\/(j\/(j\/j**(-5\/3))))\/(((j\/j**(-6\/11))\/j)\/j)))\/(j**8*(j**(-1\/3)\/j)\/j)**(-1) assuming j is positive.\nAnswer: j**(86\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 20*p = -21*p + 19, 0 = -4*t + 4*p + 44 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 51*n - 915. Give w(-83).\nAnswer: 1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9558, -7, -3 in ascending order.\nAnswer: -9558, -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4876367 is divided by 544?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91584 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35068, -140283, -315636, -561127, -876756, -1262523?\n\"Answer: -35069*l**2 - 8*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 4 - 3*g**4 - 3*g + 3*g**2 + 4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*r - 11235 + 11235 to the form b*r + i and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9773, 19391, 28807, 37919, 46625, 54823, 62411?\nAnswer: 69287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - (38\/14 + -3). Let h(j) = j**3 + 8*j**2 + j + 8. Let y be h(-8). Solve y = -g*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(13\/2)*d)\/d**13 assuming d is positive.\nAnswer: d**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4823175 by 5.\nAnswer: -964635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 - 528. Let o = -348 - u. What is the remainder when 97 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23181?\nAnswer: 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8208.89 - -10.178.\nAnswer: -8198.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1058571 - 734?\nAnswer: 1057736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20 - 20 + 67 - 2*b + 3*b + 17. Calculate i(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 57*t**2 - 108*t - 115. Determine i(55).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512154 (base 6) in base 10?\nAnswer: -87334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 6710638*g**2 - 120790998*g - 543558762 = 0. What is g?\nAnswer: -3355301, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932092371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(9\/2) + -3 + 2. Let j be (-168)\/(-81)*3\/2. Let s = -158\/45 + j. Which is the second biggest value? (a) s (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - 33. Let j = -118 - h. What is the remainder when 95*(2\/5 + 0) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 5903?\nAnswer: 58cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4685*r - r**3 + 9369*r - 4638*r + 44*r**2 - r**3.\nAnswer: -2*r**3 + 44*r**2 + 46*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) - (-994)\/728. Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 4*o**2 - 6*o - 1. Let f be x(-5). Let b = 9 - f. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 5. Let d(p) = 2*p**3 - p**2 - p - 1. Let q be d(2). Let i be j(q). Solve -g + 0*g - i = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - c - 167, c - 253 = 3*p - 0*c. Let s be p\/(-56) + (-15)\/(-2). Solve 3*h - s*h + 24 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/8 + 9*s**2\/4 + 3*s\/2 - 9.\nAnswer: -3*(s - 6)*(s - 2)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o = 0. Suppose 27*a + 52 + 2 = 0. Sort o, 2, a in increasing order.\nAnswer: a, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 39*z + 23 - 23 as x + v*z and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 10. Let v be a(7). What is the lowest common multiple of (-30)\/v + (-4)\/(-8) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(1088).\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48679\/63 + -6129\/7. Let z = 103 + b. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. Let m(w) = w**2 + 2*w - 1. Let x(n) = -4*n**2 - 3*n + 1. Let i(k) = k**2. Let b(d) = -2*i(d) - x(d). Let s(j) = -2*b(j) + 5*m(j). Give s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by -34\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -9801951?\nAnswer: 9801953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 1160 = 5*a. Is (-5)\/(-5) + a\/(1 - 3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1251156 - -0.12545. Round w to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15014543*c*n**3 + n**3 - 3*n**2 - 105822*n wrt c.\nAnswer: -15014543*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 217965*d**2 - 2397100*d - 3922380.\nAnswer: -5*(d + 2)*(d + 9)*(d + 43582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2771 - -5233. Let p = 44327\/18 - o. Let r = p + -37\/36. What is the common denominator of r and -17\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/c**7*c**(-1\/4)*c*c**(2\/5)*((c\/(c**(-1\/3)*c))\/c*c\/c**7)\/(c**3*c*c\/c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(-1271\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 19*m + 94 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121) - 4*sqrt(121)) + sqrt(121))*-6)*-2*2)\/(-3*sqrt(99)*-3*-6).\nAnswer: -22*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/3)\/v)*v*v*v**(3\/8)*v)\/(v*v**(-2))**(-47)*((v**2\/v*v)**15)**4 assuming v is positive.\nAnswer: v**(1873\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -21.045. Round v to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 507816 - 82608. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 5 (c) -5 (d) -3 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + o = 6*o + 27, 4*z + 7 = -3*o. Let f(v) = v**2 - 6*v**2 + 14 + 8*v**z - 2*v**2. Let g be f(0). Solve -g = -5*q - b, 0*q + 6 = -q + 2*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6260118279 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - 7*p - 8. Let d be h(-4). Suppose -d*t - 7*t = 0. Suppose -5*l = -t*o - o + 170, -2*o - 4*l + 298 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(2*sqrt(612)*1 - (1 + sqrt(612) + 0)**2))*4.\nAnswer: -4924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9\/2)\/g*g*(g\/g**(-6)*g)\/g assuming g is positive.\nAnswer: g**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6882, -13735, -20596, -27465, -34342, -41227?\nAnswer: -48120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3*30\/(-693))\/(6 + (-1444)\/266)\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-7099)\/(-403))*9\/24*-1.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:53 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.092 (b) 3 (c) -11\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -28*i - 1. Let j be b(-2). Suppose -4*c = -3*c - j. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*c + 21874, 44*q - 3*c = 49*q - 54592. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 + 0.1. Let n = -385.4 + 338. Let p = n - -47. Which is the nearest to 0? (a) -1\/5 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1040\/(-24))\/(-13)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487.3 - 194.2. Let b = q + -293. Let i = -13\/15 - -8\/15. Is i equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 83*k**2 + 16*k + 1. Calculate the smallest common multiple of 187 and c(-1).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 108*d. Let t(n) = -29*n**2 - 617. Give h(t(f)).\nAnswer: -3132*f**2 - 66636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/13 + -7 + (-679630)\/(-6643).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 50. Suppose -2*m + r*u = -7 - 70, 0 = 3*m + 3*u - 84. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/22 and 47\/58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 20069.18.\nAnswer: -20069.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Suppose 0 = -3*o + 8*o - 15. Suppose -2*s + 0*y + 11 = -5*y, -34 = -o*s + 4*y. What is the greatest common factor of m and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-595))\/((-8)\/(-80)). Which is the biggest value? (a) -0.4 (b) 1\/5 (c) -101 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979885158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -2\/9, 1.97, 4 in decreasing order.\nAnswer: 4, 1.97, -2\/9, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20) - (-10)\/(-104)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.42905 millilitres to litres.\nAnswer: 0.03842905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5908.425g to milligrams.\nAnswer: 5908425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 6. Let t be s(-7). Let d be 1 + t + 0 + 0. Solve 3*n + 2*n = d, -w - n = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*u - 4*z - 10, 0 = -4*u - 2*z - 26. Let f = -148 - -56. Let w = u - f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2 in increasing order.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 4, c: 2, o: 9}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 41600?\nAnswer: 374400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29.9 - -32.64. Let d = t + -2.3. Let k = d + -0.4. Which is the closest to -1? (a) 3\/5 (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/1512 - p**7\/315 - p**6\/540 + p**5\/90 - 56*p**2. Suppose j(q) = 0. What is q?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-1)\/6)\/((-7)\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*s + 66 - 53 = 0, 2*q - 5*s = -22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:57 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -751?\nAnswer: 15\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31882\/325 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 + -10 - (-30 - -18). Let a(x) = x**2 + 15*x - 121. Let b be a(z). Solve 4*l - 3*g + 10 + 0 = 0, 5*g = -b*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000082751 to six dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3013, 6009, 8993, 11959, 14901?\n\"Answer: -h**3 + 3003*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -381 + 1277. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035963203?\nAnswer: 11, 94178473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from woywgyuua?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-24)\/(-4 - 0). Solve 3*t - j*t + u = 4, -3*u + 12 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3831*t - 7668. Calculate s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/15*(-20)\/8*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-254)\/6 - (0 - 4\/12). Let z be (-1 + 493\/501)\/(28\/n). Is z greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56526016*l - 56526016*l + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 + 2*k + 2. What is the lowest common multiple of 20 and w(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -54630.\nAnswer: 2\/9105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 957 + -954. Solve -z*p + 23 = 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/5 (b) 30 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2961984 and -245.99?\nAnswer: 2962229.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 159264 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/80 + 25*p**4\/12 + p**3\/24 - 25*p**2\/2 - 673*p + 3. Factor f(m).\nAnswer: -(m - 100)*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5312?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1089.5 - 81148128.\nAnswer: -81149217.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -8) + -8 + (37 - 17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-26) - (-261)\/819\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-4 - -1)) + 1718. Is 19 a factor of (-4 - t\/(-12)) + 2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.34 + 1.9. Let n = 5.24 - t. What is the closest to -1 in n, -0.6, 0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 and -77\/205970361.\nAnswer: 205970361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43714861 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21)*(-763)\/1635?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2783)\/33)\/(2\/(-6))?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 8*q + 110 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -246119.063 to the nearest 1000.\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omwxz. What is prob of picking 1 x, 1 m, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2122 in decreasing order.\nAnswer: 2122, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -359835 divided by 447\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 14*h + 2. Let p be f(-11). Let g = p + -29. What is the lowest common multiple of 26 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2610270 divided by -2910.\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26848343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-6 + -1 - -6)) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 1 (c) 0.02 (d) 2 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 123 + 186 + 11*s + 377 to h*s + q and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6174 and -197\/35822430.\nAnswer: 250757010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/3 + 14*l**2\/3 + 23*l + 18 = 0. What is l?\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 3:11 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/(53\/742).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)\/d*d*d**7)\/(d*d*d**(-1\/4)*d)**(-46) assuming d is positive.\nAnswer: d**(4543\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179203 = -27*c + 429620. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 653, 3?\nAnswer: 653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n**(-1)*(n*(n*n**(-1)*n)\/n*n)**(-3\/4)*(n**2\/(n*n**(-7)*n))\/(n**(-2)*n\/(n*n\/((n*n**(-6))\/n))) assuming n is positive.\nAnswer: n**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 31*j + 33 = 8*j + 19*j, 8 = -4*j for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 431*m**5 - 20378 + 20378 + 0*m**5 - 2*m**5 + 4*m**5 + (0*m + 0*m + 2*m)*(m**4 + m**4 - m**4) + 3*m**5 - 3*m**5 - m**5 + 3*m**5 + 0*m**4 + m**4 + m**5.\nAnswer: 438*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 168.231168 milliseconds?\nAnswer: 0.00000194712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/(22\/55) - -1. Let n(v) = -13*v**2 + 2*v + 2. Let k(s) = 39*s**2 - 7*s - 7. Determine u*k(m) - 7*n(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*i*n + 48*g**2*i + 2*g**2*n - 3*g*i - 3*g + 66076*i*n + 13 wrt n?\nAnswer: -2*g**2*i + 2*g**2 + 66076*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 78 = -o. Suppose -192 = -5*d + o. Suppose -2*z = 3*g - 8*g + 246, -d = -g - 2*z. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 15*l**2 - 5*l**2 - 8*l**2 - 4*l**2. Let j(z) be the third derivative of 0 + 0*z**4 - 2*z**2 + 0*z**3 + 0*z + 1\/12*z**5. Give j(b(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.5 (c) -58 (d) 2539 (e) -2\/9 (f) 3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13)*2)**2 + -2.\nAnswer: 4*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**2*v**2 - 5*m**2*v*w + 7*m**2 - 1318*m*v**2*w - 2*m*v**2 + 7*v wrt w?\nAnswer: -5*m**2*v - 1318*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*11\/22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.718 - 1.628. Let y = s - 16. Let v = y + 0.07. Round v to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 145. Solve r + 2*u = -11, 4*r - q*u - u = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q**3 - 6*q**3 + 17*q**3)*(2 + 2 - 2)*(-q - q + 0*q).\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*u + u. Suppose -3*p - 138 = -u*p. Let z = p + -49. Calculate the greatest common divisor of 220 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17577*s + 123175. Determine q(-7).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r**2 + 2*r. Let s(o) = 13 - o - 14182*o**2 - 13 + 14154*o**2. Determine 5*h(v) + 8*s(v).\nAnswer: -14*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 410934451*n**4 - 1465*n**2 + 13*n - 37 wrt n?\nAnswer: 9862426824*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0\/c*c\/c**(1\/4)*(c**2)**(2\/53)*c**(-2\/9)*c**(3\/5)*c**(-2\/23)\/c**(-2) assuming c is positive.\nAnswer: c**(464357\/219420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -336*w - 17. Let c(j) = 56*j + 3. Determine 34*c(k) + 6*u(k).\nAnswer: -112*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 - o - 5*o - 394*o**2 + 2 + 207*o**2 + 193*o**2 to t*o + w*o**3 + y + v*o**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -14*p - 2. Let l(o) = -502591*o**2. Give q(l(b)).\nAnswer: 7036274*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -417*f + 412*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-4 - (-2380)\/190). Let h = -3246\/247 + t. Factor -20\/13 + h*o**2 + 86\/13*o.\nAnswer: 2*(o + 5)*(9*o - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**3*w**4 + 223*f**3*w + 2*f*w**2 - 51840655*w**6 - 13145 wrt w?\nAnswer: -96*f**3*w - 6220878600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 590024 (base 12) to base 7\nAnswer: 15106315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114706 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 30*w**2 + 69*w - 162. Determine a(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*h - 25 = -4, -s + 15 = -5*h. Suppose -2*g + 5*g + 3 = 3*r, -4*g = -s*r + 6. Suppose 5*l = 3*t + 33, r*l - 3*t = -0*l + 6. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.1733 tonnes in nanograms?\nAnswer: 215173300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71028 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -8) + -7 + (-25 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -7020?\nAnswer: -21060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29092367 to the power of 1\/2, to the nearest integer?\nAnswer: 5394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/24 - (-9)\/24. Let w(b) = b**3 - 4*b**2 + 1. Let l be w(4). Which is bigger: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286.831 days to minutes.\nAnswer: 413036.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = 127*y - 131*y, -3*y = q + 13. Let f(w) = 8*w**3 - w. Calculate f(q).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbbbzmffblflbffbfbf. Give prob of picking 3 f.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 763401625 a multiple of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*f + 279*f - 3109*f - 2772*f + 81*f + (f + f - 3*f)*(0 - 2 + 3) as j*f + o and give j.\nAnswer: -5423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103340, 207355, 311370, 415385, 519400?\nAnswer: 623415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from npwftnpwptfpfwtfff?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) + (-194)\/(-3). Suppose -4*v = -k - 35. Calculate the greatest common divisor of 100 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((2\/(-10))\/(1\/(-5))). Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40408914 and 42588.\nAnswer: 242453484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 18 = 12. Suppose a*q + s - 46 = 0, -5*s + 118 = 5*q - 2. Let g = -19 + q. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/177 and -7\/86 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0614345 to three dps.\nAnswer: 11.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c77c (base 16) to base 8.\nAnswer: 543574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24556 + 24572. Solve 2*x + 12 = 2*f, w = -2*x - 2*x + 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*h = -2, 0 = -3*a - 4*h + h + 18. Let f(q) = 14*q**2 - 3*q + 2. Let s be f(1). Let p = s + a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7294170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 5, l: 8, a: 3, f: 2}. Give prob of sequence fl.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430, -1691, -3784, -6703, -10442, -14995, -20356?\nAnswer: -26519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120 + -112 + (124 - 68)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34454 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose i*p + 2 = -2*a, -5*a - 5 = 3*p - p. Let o(x) = -2*x + 3. Let f(n) = -n + 1. Let r = -3 + 4. What is a*o(h) + r*f(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqn when three letters picked without replacement from qtapmnqp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4467*q + 1. Let t(v) = 392*v**2. Give b(t(k)).\nAnswer: 1751064*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 306*g - 1176 = 0. What is g?\nAnswer: 4, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -854518 - -7682806\/9. Let j = z + 871. Find the common denominator of (15\/32)\/(5\/60) and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3 - 12 + 2572725*a - 12 + 2. Let l be x(-11). Round l to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19308685 by -1.\nAnswer: 19308685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 5*j - 5 = -3*p, -4*j = 3*p + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1276 or -5\/6?\nAnswer: 1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-840))\/(-15*3\/42)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*k - 9*k. Let w(t) be the first derivative of -t**4\/4 - t**3 - t**2 + 3*t + 1. Calculate the least common multiple of k and w(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -10 + 18 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-730296)\/(-70) - (-2 + (-27)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 9*r - 16. Suppose 3*d - 5*d + 3*s = 27, -2*s = -r*d - 22. Let b(j) = -j**2 - 4*j + 7. Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**2*u**3*y - 65*d**2 + 163*d*u**3*y + 2*d*u**2 + d*y wrt u?\nAnswer: -12*d**2*y + 978*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43528060, 87056115, 130584162, 174112201, 217640232?\n\"Answer: -4*p**2 + 43528067*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4031623*j - 4031617*j + 8063251*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00266 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.50191 + 716.67691. Let u = v - 722. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365.873 centuries in years?\nAnswer: 136587.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08096 + 0.11904. Sort 0.03, r, 9.6, 0.4 in decreasing order.\nAnswer: 9.6, 0.4, r, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44011505 (base 6) to base 16\nAnswer: -13f5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 21310 = -11*w. What are the prime factors of w?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbppenbebbnbnpen. What is prob of picking 1 e and 1 b?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2101 - -2183. Solve -52 = -s*f + 95*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 5*s + 3, 0 = -4*d + 3*s + 5. Let w = 226 + -225. Put d, 58, w in increasing order.\nAnswer: d, w, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*h - 5*c - 159, -74 = -2*h - c. What is the remainder when 67 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from lnllaailalqfaafllai.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z - 3*z)*(-3*z + 4*z + 2*z)*(43*z**2 - 516*z**2 - 289*z**2) to w*z + p*z**4 + u*z**2 + t + o*z**3 and give p.\nAnswer: 6858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*s + 262789 - 258001 = 0 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/70)\/(98\/(-735))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -12\/29, -2, 8, 1 in increasing order.\nAnswer: -2, -12\/29, 0.3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19709*t**2 - 2002*t + 78234645.\nAnswer: 39418*t - 2002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3*sqrt(30)*-4 + sqrt(90)\/sqrt(3)*-4)\/((sqrt(10) - (2*sqrt(70))\/sqrt(7) - -1*sqrt(1210))*-5))**2.\nAnswer: -2308\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + 1057.\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42803053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/21 (b) -0.01 (c) -195 (d) -4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 2*m**2 + m + 1. Let w be l(0). Suppose -5*b + 9 = -w. Calculate the greatest common divisor of b and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 593*t**3 - 2*t - 61.\nAnswer: 3558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1623, -2975, -4327?\nAnswer: -5679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose 15 = d*z - 0*z. Suppose -2*j + 25 = -0*w - w, 3*w = 4*j - 55. Solve z*c + 3*f = f - j, f = 2*c + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24475 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -283 - 397. Calculate the greatest common divisor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11179 (base 10) to base 16.\nAnswer: -2bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d + 4 + 0*d**2 - 2\/3*d**3. Let t(a) = 3*a. Calculate s(t(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 1 = -2*b. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2182827*h**2 + 18766*h - 121\/3.\nAnswer: -(2559*h - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v*y**5 - 197*v*y**4 - v*y**3 + 4410*v*y**2 - v*y - v + 2 wrt y?\nAnswer: 60*v*y**2 - 4728*v*y - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/24*4\/32.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 39 - 1) + (432 - 221) + -224?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5311.721ug to milligrams.\nAnswer: 5.311721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/4 - 79*q**2. Let z(g) = -g. Determine z(f(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 2. Let d be j(0). Let o be 6\/d + 26 + -2. Solve 5*f + o = -4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7994 - -19.6364. Round r to 1 dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1 + 6*h**2 + 2*h**2 + 3*h**2. Suppose -7 = -11*q + 59. Suppose -5*g - 15 = 0, q*g - 10*g = -3*b + 9. Give z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(6\/7)\/k)\/k*k*k*k)\/k**(-1))**(2\/3) assuming k is positive.\nAnswer: k**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223588\/21 + 10649. Let z = -287 - -842. Calculate the common denominator of 485\/4*(-37)\/z and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.725 in 4, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4383 - 4398 = 5*z, 5 = 3*f - 2*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939506051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:34 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 441736.\nAnswer: 5\/220868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -0.2, -3, 2079?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -181*w**8\/168 - 451*w**5\/60 + w**2 - 237. Find the third derivative of z(q) wrt q.\nAnswer: -21720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 2*g - 97 + 18.\nAnswer: 2*g - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (4 + 6)) - 3 - 1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305802039.\nAnswer: 3, 101934013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8655323*w**2 - 35*w - 31707.\nAnswer: 17310646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 268 = 3. Let w = o - -59. Let r(s) = -s - 3*s + w*s - 4*s. Let p(t) = -36*t. Determine r(p(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 = 29*n - 9*n + n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 66\/11*7\/(42\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-1 - 3)) + 1897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/8, -110, 142, -33?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, -2, 11, 2, 9638 in descending order.\nAnswer: 9638, 11, 2, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 2.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4444*f + 7204*f + 6900*f to c*f + t and give c.\nAnswer: 9660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -165, -333, -501, -669, -837, -1005?\n\"Answer: -168*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x + 77 - 281 = 676 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21459310190 to the nearest one million.\nAnswer: -21459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33239*u + 4 + 33244*u - 5 - 4 - 12*u**3. Let b(w) = -35*w**3 + 14*w - 14. Calculate -5*b(k) + 14*q(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:36 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*i**3 + 1901 + 60*i**3 + i - 1905 + 10*i**2 + 7*i**4 to the form o*i + t + y*i**2 + l*i**4 + x*i**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(4*(-9)\/24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -452, -24.25, -32, -1\/3?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.051 - -0.051. Let f = j + 27. Sort 4, f, 0 in descending order.\nAnswer: 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + sqrt(162)*-2 + sqrt(162))*4)\/((sqrt(12)*1)\/sqrt(2) - (sqrt(6) + (sqrt(600) - 2*sqrt(600)))))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30011112 (base 4) in base 15?\nAnswer: -e9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 3 - 775465*s - 2*s**3 - 2 + 774364*s to the form y*s**3 + d*s**2 + o + v*s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306567094?\nAnswer: 2, 1217, 1358491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2, s = -5*f + 41 - 14. Let m(h) = h**2 + 2*h + 2. Let q be m(-2). Suppose a + q = 8. Calculate the remainder when s is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-36) - 16\/(-72). Which is the closest to 1? (a) -2\/13 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -53*a - 262. Let n be p(-5). Let d(g) = -3*g + 4. Let i(z) = -2*z + 2. What is n*d(k) - 5*i(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from sswhhqhqqkhhkhhwsww.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2 + 11*l**3 + 3*l**6 - 6*l**3 - 5*l**3 wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:12 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 978*v**3 - 19*v**2 - 136898*v wrt v.\nAnswer: 5868*v - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:52 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c + 496. What is o(30)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -4.6. Let z = -2 - q. Let b = z + -3.25. Round b to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*h - 18 = f, 0 = f + 4*h + 3. Let p(y) = y**3 + 7*y**2 - 4*y - 14. Let a be p(f). Let w = a - 11. Solve 4*i = w*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 938*a**2 + 60755*a + 360. Determine u(70).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f, -3*j - 2*f + 16 = -0*f. Suppose -j*b = 4*s + 328, 2*s = -b + 3*s - 82. Let p = b + 182. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -940, -936, -932?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g = -347 + 714 - 15 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t*v - 177*t + 17*v**3 - 1 wrt v?\nAnswer: -3*t + 51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, 61, -467, -3, 15 in decreasing order.\nAnswer: 61, 15, 11, -1, -3, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 14*y + 34 + 42 + 15 - 161 + 33.\nAnswer: -14*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + 3*n)*(1 + 1 - 5) + (3 - 4 + 3)*(-29*n + 5*n + 4*n) to the form l + r*n and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 17*m**2 - 2*m - 45*m**2 - 47*m**2 - m as k*m**2 + y*m + o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*i + 29 = 0, 4*h - 2*i = 3*h - 17. Let z = h + 13. Is ((-2)\/(-1))\/(z\/154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttptrtrkwrtt. What is prob of sequence kpw?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + k - 5 = 0, -22 = 21*n - 25*n - 10*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30233020300 + -1202?\nAnswer: 30233013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 + 162\/8. Let d(w) = 14*w - 6. Let t be d(4). Let r be t - (-2 + 4 + -2). What is the greatest common factor of g and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c + 812 = 64*c. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + c + 2*c + (4 - 1 - 1)*(-1 + 2*c + 1) - 3 + 2 - 13*c + c.\nAnswer: -10*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 26 + 4 = 0. Suppose -5*b - 20 = -80. Suppose -b = -3*g, -2 = x*c - g - 28. What is the smallest common multiple of c and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -29\/37166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 479973.3g?\nAnswer: 479.9733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/10 + 1923*w\/5 - 362992 = 0.\nAnswer: -4630, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-252)\/8))\/((-6)\/9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-69)*(138\/1771)\/(56\/22)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 - 0.39. Let i be (9 - 7)\/(-6*3). What is the nearest to d in i, 2, 4\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = -4*i, -3*x - 15 = -5*i - 43. Suppose x*c = 2*c. Which is smaller: c or 9\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = 3*q - 2*g, 5*g = 4*q + 9. Solve 9*z + 15 = q*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (9459\/(-3))\/(-1). Suppose -s = -4*m + 1515. Suppose -5*k - 282 = -m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**2 + 9 - 4 + 0 as l*c + j + v*c**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxm when three letters picked without replacement from {j: 4, k: 2, m: 3, x: 1, r: 1, n: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 - 506 = 3814*y + 3408 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**2 - 16*m - 223. What is the units digit of o(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Let b = a + -8. Let f = 1.5 - -0.5. What is the closest to 0 in f, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157454341009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-3 - -4))*5. Let l be ((-6)\/(-4))\/(1\/2). Differentiate -3 + 7 - r**3 + 2*r**l - m*r**3 with respect to r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(d**3 + 4*d - 4*d) + 238*d**2 + 816*d**3 + 818*d**3 - 1622*d**3 + 70*d**2.\nAnswer: 10*d**3 + 308*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1217, -1221, -1227, -1235, -1245, -1257?\n\"Answer: -k**2 - k - 1215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/17)\/(u**(1\/2)*u))\/(u**6*u*u*u**0*u))\/((((u\/u**(-1\/3)*u*u)\/u*u)\/u)**(-16)*u**(-1\/3)*u**(2\/13)) assuming u is positive.\nAnswer: u**(35975\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 32*a**2.\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91961343 divided by 573.\nAnswer: -160491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s = 11*s - 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20782*l*m**3 - 1091*l*m - 3*m**4 - 29*m wrt m?\nAnswer: -124692*l*m - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64.17 + 67.2. Let p = 0.03 - o. Suppose 1 = -t - 3. Which is the third smallest value? (a) 0.2 (b) p (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + (-175)\/20)*(-34 - 252\/(-18)). Solve -p = 7*t - 53 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 12 (b) 5 (c) -416019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 0*y**2 - 2 - y**3 + 3*y**2 + 4*y - 2*y + 4*y. Let i be s(4). Solve v = 4*m + 18, -28 + i = 4*m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) 0.9 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1035.99291 + 1036. What is c rounded to four dps?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16273, 16272, 16271, 16270, 16269?\nAnswer: 16268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12559728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*1*(-8)\/(-40)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 231056.\nAnswer: 231056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 + i - 12. Suppose r + 4*r = 15. Let g be v(r). Solve g = 2*f - 46 + 52 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = n + 213 - 199 + 328 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 3. Which is the nearest to 0? (a) 0.1 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 304*f - 24013. What is z(369)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-36))\/(1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 4, 2, 2557.\nAnswer: -0.2, 1, 2, 4, 2557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2361664 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m + 17. Let k be v(7). Suppose -55 = -o + f, -2*o = -5*f + 2*f - k. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*m - 148, 4*w + 3*m - 574 = m. List the prime factors of w.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:35 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601558 (base 12) to base 8.\nAnswer: -5550724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10655232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 79*z**6\/20 - 193*z**3\/3 - 456*z**2. What is the derivative of v(w) wrt w?\nAnswer: 1422*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1200.3 times 0.27\nAnswer: 324.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*c + 35, 38 - 26 = -c + 3*s. Solve 2*q + 7*u = 12*u + 19, 6 = -c*q - 4*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 9. Let p be x(15). Let a = 4 - 8. Let t = p + a. Solve t*j = -j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -131*x - 23. Let b(p) = -265*p - 46. Let u(z) = -2*b(z) + 5*c(z). Let y be u(1). Is y at most -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 99 - 61)*(-11*d + 15*d - 23*d).\nAnswer: 1672*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -764169 or -764181?\nAnswer: -764169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*1*-4)**2 - ((1 + sqrt(98))*-5 + sqrt(98)))*-6*-1.\nAnswer: 168*sqrt(2) + 9438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (66\/(-4))\/((-243)\/486). Calculate the highest common divisor of r and 1309.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 60371492 and 939765.\nAnswer: 61311257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:22 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.6, -0.12, 17, 9\/8 in ascending order.\nAnswer: -0.6, -1\/6, -0.12, 9\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + 4 + 0*b + b. Let j be s(-8). Let z(k) = -2*k - 2. Let w(g) = g + 1. Let c(v) = j*z(v) - 7*w(v). What is the first derivative of c(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 21*l + 117. Let x be k(-10). Solve 16 = -x*v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.483?\nAnswer: -0.2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 431 and -0.3739.\nAnswer: -161.1509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 260*c**2 + 13802*c - 13499. Calculate u(-185).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 4) to base 11.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/60*n**5 - 13*n**2 + 1\/3*n**3 + 0 - 1\/3*n**4 + 0*n. What is the remainder when 87 is divided by d(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**4 - 8*k**3 - 2*k**5 - k**4 - 13*k**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = 4*k - 3*k - 2*k + 3*k - 5*x, -58*x = -3*k - 3257 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 6090.\nAnswer: 1\/3045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1924 - -1923. Sort 2, 28, r, 0 in descending order.\nAnswer: 28, 2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59213538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*p = 38, -1 = m - 6*p + 3*p. Suppose -m*r + 57 = -5*r. Let i(f) = 2*f**2 - 25*f - 64. List the prime factors of i(r).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 5)*(-a + 5*a - 3*a) in the form j*a + l and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -1672, -174, -4 in decreasing order.\nAnswer: 5\/4, -4, -174, -1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 - p**2 - 2*p**3 + (-69*p - 481*p - 39*p)*(-4*p**2 + 12*p - 12*p))*(-p + 2*p + 0*p) to the form c + f*p**3 + a*p**4 + i*p + t*p**2 and give a.\nAnswer: 2354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3846*g**3 - 6665*g**3 + 2545*g**3.\nAnswer: -7966*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057*t - 438*t - 8161 - 532 - 6277 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -187 + 207 + -1 + -14 - (15 + -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -373 - -644. Calculate the remainder when j + 1 - 4\/(0 - 2) is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -29. Suppose r = -t + 10. Calculate the lowest common multiple of r and 1\/3 - (-35)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330179.\nAnswer: 73, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -15 - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3493\/15 - 233. Let j(l) = -109*l**2 - 5777*l + 8. Let n be j(-53). What is the nearest to n in q, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6846363339*s**2 - 2 - 6846363341*s**2 + 2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -604253 - 2?\nAnswer: -604255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 0*t + 0*t + (-2*t + 2*t + 2*t**2)*(-2 + 3 + 1) + 2*t**2 - 3*t**2 + 0*t**2 - 3*t + 2*t**2 + 3*t + (t + t - 4*t)*(-t + 0*t + 3*t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-8)\/2)*(-10217)\/(-601)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 15*v**2 - v. Let u = 56 + -71. Let m be n(u). Solve -3*d + m = 0, 2*d + d = -2*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8850083?\nAnswer: 11, 804553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 10*t - 346. Let w(u) = -6*u**2 + 16*u - 519. What is 8*k(r) - 5*w(r)?\nAnswer: -2*r**2 - 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*3\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 20 = -5*c, -228*n + 231*n = -c - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*k - 28, 2*d - 5*d = -k + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-25)\/(125\/(-20))))\/(1*4\/(-1))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/5 - 4021*q\/5 - 903288 = 0.\nAnswer: -915, 4936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftowook. What is prob of sequence tk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2 = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2434, -2435, -2436, -2437?\n\"Answer: -a - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107486370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.27045 years?\nAnswer: 0.027045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 619035 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00141 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1277 = 6*m + 3*k, -2*k = 4*m - 854. What is the least common multiple of m and 9?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and -63\/26714.\nAnswer: 26714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 - -130. What are the prime factors of (1410\/18)\/((-2)\/x)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let u(j) be the third derivative of 23*j**5\/15 - j**4\/12 - 2*j**2 - 18*j - 1. Determine u(y(p)).\nAnswer: 828*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -838.2722821 to 1 dp.\nAnswer: -838.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514032 by 42836.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 9:08 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2970\/19 + -64219\/418. Suppose -2*d + 0*d = 6. Find the common denominator of d - (3 + 79\/(-8)) and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*j*n*x**2 - 4*g*j*x**3 - 2*g*x - 15*j**2*n*x**3 - 12*j**2*n*x + x**3 wrt x.\nAnswer: -24*g*j - 90*j**2*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -384.23135 to the nearest integer.\nAnswer: -384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (11 - 54\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 367 and 128807825?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9794263 - -6447147. Let a = r + 3347117.760179. Let n = -1.76 + a. Round n to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 19 - -8)\/((6\/20)\/((-126)\/36))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 11. Let j be t(8). Let g = j + 36. Suppose -3*v + g*v = 76. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.66 + 0.86. Which is the second biggest value? (a) s (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27049683.\nAnswer: 3, 9016561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 5, -1, -3, -1, 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a. Let p(z) be the third derivative of z**7\/1680 + z**5\/60 + 3*z**2. Let n(v) be the third derivative of p(v). Calculate w(n(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 4427651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-44)*(-24 - -4). Let c(q) = -13*q + 37. Let v(y) = -8*y + 18. Let o(n) = u*v(n) - 3*c(n). Let t(a) = 4*a**2. Determine o(t(r)).\nAnswer: -4*r**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let n be ((4 - s) + -3)*-2. What is the third derivative of d**5 - 5*d**2 + d**2 + n*d**2 + d**2 wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2745*d - 6451*d - 5762*d + 3342*d to the form r*d + b and give r.\nAnswer: -11616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.7489 - 2\nAnswer: -1.2511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 916327 and 8?\nAnswer: 7330616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 9*z**2 - 14*z + 3. Let b be y(7). Suppose 0 = 2*p + 2*c - 28, p - 22 = b*c - 6*c. What is the greatest common factor of p and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -14, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**2 + 4. Let u(l) = -21*l**2 - 8. Let j(o) = 4*u(o) + 7*z(o). Let q = -15 + 11. Let s(a) = -a**2 - 1. What is q*s(b) + j(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - 424*h**2 - 14*h - 6. Let r(p) = -4*p**3 - 283*p**2 - 10*p - 4. Calculate 5*g(y) - 7*r(y).\nAnswer: -2*y**3 - 139*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 18*s - 21. Let i be k(-10). List the prime factors of i*((-85)\/(-34) + 2774\/(-4)).\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1330 and -131\/1440?\nAnswer: 191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, n: 7, u: 2}. What is prob of sequence upp?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -967981 divided by -138283.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (2 + sqrt(3) + -2 + sqrt(3) - sqrt(648)\/sqrt(6)))**2.\nAnswer: 8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2497*a - 2510*a + 27417 = 0. What are the prime factors of a?\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-7764 + 7764 + 479*q)*(0 + 2*q + 0)*(-1 - 1 + 1)*(-2 - 2 - 3).\nAnswer: -6706*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2370, -2369, -2368, -2367, -2366, -2365?\nAnswer: -2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 2*y = 25*i, 3*i + 4*y = -20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 3*d + 2 - 0, 0 = 2*c + 3*d - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (63 - 23)) + 11 - -24?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-3)*(-30)\/4. Suppose 2*z = -x + 47, -2*x + 1 = 5*z - c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -740, 3, 13, 79 in ascending order.\nAnswer: -740, 3, 13, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (788\/(-72) - -11)*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -252 divided by 21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + v - 1. Calculate u(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let q(b) = 36*b**2 - 1. Let v be q(1). Suppose -5*l - 5*r = -v, -4*l - 3*r = -r - 18. Solve -4*a - a + t = d, l*a - 4*d = -16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -575472 (base 9) to base 10.\nAnswer: -345206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 9*f**2 - 9*f - 5. Let w be n(10). Suppose 0 = k - 2*k + 5, -w*s = 3*k - 35. Solve 0 = -2*p + p, b - 3 = -s*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104798534429 prime?\nAnswer: False","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 {d: 5, m: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.538 and -0.1594?\nAnswer: -0.0857572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 363520 divided by 72704?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -456905 (base 12) to base 14\nAnswer: -20caa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:33 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 13 = -m - 4*x, 4*x = -2*m + 76. Solve m = 3*z - 3*p, 0 = 3*z - z - 4*p - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4146 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122259101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -0.22, -7\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 3813*u + 86641. Calculate y(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15147 - -62?\nAnswer: -15075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 569556 by 18.\nAnswer: 31642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u. Let c(y) = -145*y + 403*y - 225*y - 156*y. Give c(l(r)).\nAnswer: 246*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39992, -80108, -120224, -160340, -200456?\nAnswer: -240572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 + -0.8. Let x = -0.08 + 37.08. Let o = x - 28. Which is the third biggest value? (a) s (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 656, 1011, 1366, 1721, 2076?\nAnswer: 2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -93. Is o + 8 + -5 - -1188 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**0*s*s*s)**(-17)\/(s*s*s**(-13)*s**(-1\/7)*s))**(-1\/29) assuming s is positive.\nAnswer: s**(524\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1693*n + 1231*n + 3108*n to t*n + h and give t.\nAnswer: 6032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -6*2\/4. Suppose 5*d - 3*f = 38 + 11, -2*d = k*f - 7. Suppose 0*a - 5*p = -a + 28, -4*a - 4*p = d. Solve -c = a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717241 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9 - 3 + 24 + a - 10 + 31*a.\nAnswer: 32*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - -6.08. Let p = -10 + h. Which is the third smallest value? (a) 0.1 (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-20) - 464\/(-10). Let v = 57 - m. Let t = v + 30. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 2*p = 18, 0 = 5*i - 4*p + 63. Let u be (-2)\/i + 48\/(-22). Which is smaller: u or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 + 6 - 5 + 3*z**2 - 12*z**3 + 8*z**3. Calculate d(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7759 + 0.00539.\nAnswer: -7758.99461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1853529 + 4?\nAnswer: 1853533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -12143089 and -7772.\nAnswer: -12150861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/13943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2100, -2013, -1868, -1665, -1404, -1085, -708?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 10, -5\/2, 2, 3\/2, -162?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-9))\/(4\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 - 0.8. Let y = 82\/7 - 1408\/119. Which is the nearest to -2\/3? (a) k (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -0.11. Suppose -3*d = -4*d + 15. Suppose -2*i + 3*h + 5 = 0, i + 6*h + d = 4*h. Which is the nearest to o? (a) 0.5 (b) i (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 - 3*x - 7. Let w be (-14)\/(-4)*48\/28. Let k(y) = -5*y**2 - 2*y - 3. Let g(v) = w*j(v) - 13*k(v). Let h = 38 + -31. Calculate g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:13 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 37 + 23*x - 21*x in the form o + d*x and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 5 (c) -34\/225 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89876, -179759, -269648, -359543, -449444?\nAnswer: -539351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-486)\/112)\/(-27))\/((-6)\/8).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c + 2*c - c)*(2*c + 2*c - 5*c)*(-4*c + 2*c + c)*(3 + 2 - 1) as f*c + s*c**3 + t*c**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 122*w - 3637. Let k be t(52). Solve -2 = -5*u - k*m, -384*u + 386*u - 16 = -5*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*i - 4*x, -x - 21 = 3*i + 21 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -33*t**3 + 1421*t**2 - 98*t + 543. What is j(43)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -26. Let y be (r\/4)\/(441\/84). Let q = 0.13 - 0.03. Sort q, y, -1\/2, 0.09 in increasing order.\nAnswer: -1\/2, 0.09, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (2 - 6) + (18 + 0 - (123 + -115))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08 (b) 3 (c) 0.5 (d) 1\/4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 183.9 times 106\nAnswer: 19493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2.4. What is the third biggest value in -15, g, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 45, -13.2 in decreasing order.\nAnswer: 45, 1, -13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 2, -16, -50, -106?\n\"Answer: -s**3 + s**2 - 4*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:11 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 25 - 49 + 21*p**3.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1499.0879 - 1499. What is m rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1700116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24*h**2 + h + 1. Let v be g(-1). Let t = -1015 + 1017. Solve -t*x = -5*m - 3, 5*x + 3*m - v + 1 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117023 + 703368. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -153, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 661 - 3955\/6. What is the common denominator of 73\/9 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a - 3. Is 24 a factor of (90\/a)\/((-3)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*q = 27, 4*t - q = -43 + 138. Is 3568\/t*(-3)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95734712 < -95734714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (16 - -12) + 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8500664 is divided by 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 752 + -760. Is n greater than or equal to -87\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*a - 48. Suppose 5*l - 20 = -5*n, -2*n = -3*n - 5*l + a. Suppose n*z + 22 = 4*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(2\/9))\/w*w))**(-41) assuming w is positive.\nAnswer: w**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 + -310.626. Let b = -23.626 - r. Is -4\/3 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-8 + -4 + 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14481 + -8719. Suppose g - 1702 = 7*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/448 and 25\/(-32)*-1*56\/1372.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, q: 7}. Give prob of picking 2 q and 2 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125329\/19 + -6601. Is u > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2 - 5*i + 4*i**2 - 3*i + 1. Let l(r) = 5*r**2 - 8*r + 2. Let a(w) = -3*l(w) + 4*s(w). Give a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -16, -31?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -4*v - 12. Solve -3*o = 5*p + 5, p - v*o = -4*p + 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 856 - 874 = -5*d, 12 = 5*m - 4*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02748854 to 5 dps.\nAnswer: 0.02749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0*p**2 - p + 5*p + p**3 + p**2 - 2 + p**2. Let m be x(3). Suppose -3*k + m = -17. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1223*v = 1221*v - 102, -61*o + v - 199 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - j = -26 + 33, -3*j = -n - 19. What is the fourth smallest value in 0.3, 5, 6\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 1. Let s(i) = 10*i**2 + 13*i + 6. Let g(f) = -s(f) - 2*w(f). Let q(p) be the first derivative of g(p). Differentiate q(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0816 + 0.3184. What is the second smallest value in c, -6, -13, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p, -z + 4*p + 0*p = 6. Suppose 4*g - 2 = 2*o + z, 0 = 2*g + o - 6. Solve -g*b + 2*w = -4*b - 10, 0 = -w - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35647892 is divided by 487.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -67*p**2. Let b(q) = 2*q. Determine b(d(t)).\nAnswer: -134*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34830, -69766, -104698, -139626, -174550, -209470?\n\"Answer: 2*j**2 - 34942*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 2793*i**2 - 651465*i - 648675.\nAnswer: -3*(i + 1)*(i + 465)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 2*j + 3. Let o be v(6). Let g be (-4)\/(-2) - (-36)\/o. Let h be (-3)\/(-2) + (-4 - (-1 - 2)). Sort g, -1, h.\nAnswer: -1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - (-1904)\/20)\/(52\/130) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - 75 = -264 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 1046160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76.00128 + 76. Round x to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 105 + 297 + 461 + 406.\nAnswer: -3*o + 1269","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39424 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p + 1. Let c(d) = -3*d**2 - 29*d + 15. Let b be c(-13). Let k = b - -111. Determine v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/((-10)\/25)*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*z + 5 + 21, 5*z = -20. Suppose 4*g + 179 = 3*d, 281 = 5*d - s*g + 4*g. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*s + s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.2. Suppose 3*m + 11 + 8 = -4*z, 0 = z - 4*m - 19. Let f be 16\/12 + 0 + z. Is t greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -4, -85, 3, 2 in ascending order.\nAnswer: -85, -4, -3, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -997, -998, -999, -1000, -1001, -1002?\n\"Answer: -f - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 16 - 10. Suppose 4*f = 2*w - 8, -o*f - 32 = -5*w - 5*f. Solve w = -5*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-12))\/((-27)\/(-24))*6. Let d(m) = -15*m**3 + m. Calculate the remainder when 58 + 3*(3 - v) is divided by d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 4*a. Let h = 3 - a. Let i be (h\/2)\/(2\/28). What is the highest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 3:43 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from xexetttetxxeeeeeeex?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 705*s. Let x(y) = -137*y. What is u(x(q))?\nAnswer: -96585*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let i = 0.32 + -0.22. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:27 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5198175 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = 5. Suppose 3*k + 25 = 8*k. Sort o, 0, k.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.233873ng to kilograms.\nAnswer: 0.000000000004233873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -11, 509, 8.1, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*i. Calculate the highest common divisor of 28 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -190900 and 119.4.\nAnswer: -190780.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 - 11052*s**2 + 2627946*s = 0?\nAnswer: 0, 249, 5277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 28. What is the lowest common multiple of w and 9 + (-12 - -8 - 3) - -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 p, and 1 q when four letters picked without replacement from {r: 1, g: 2, q: 3, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)\/p)\/(p*p**(-5\/7)*p*p))\/(p**21\/p**(3\/2)) assuming p is positive.\nAnswer: p**(-3425\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 - -393. Is ((-10)\/(-4))\/(2\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -d. Let p(w) = 10*w + 1. Let q be p(d). Let h = 13 + q. Solve 4*i = -2*v, 0*i + 4*i = -4*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7904.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-876)\/73)\/(-1*22)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686\/27253 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16562.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 - 163. Let i be -2*(c + 8 - (-11)\/(-2)). Solve 0 = 4*q - w - i, 3*w = q + 4*w - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 24*w**3 + 0*w**2 + 18*w**3 - 44*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43688.\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2178) - 4*sqrt(2178))\/(sqrt(27)\/(3*sqrt(3))))*-3.\nAnswer: 9 + 297*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 25. Let g be ((-3)\/i)\/(6\/72). Let t = 11 - g. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*b + 105 = 40*b. Sort -6, -5, b, 1 in decreasing order.\nAnswer: 1, b, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 32 = 4*k. Let j = -3 - -3.4. What is the nearest to -1 in -4, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 87 = 4*g + 11*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**2 + 172*t - 172*t. Let n(b) = 1010871 - 1010871 + 2*b**2. Give n(l(k)).\nAnswer: 512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - (-13 - -5) - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:30 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.662 + 0.66199499. What is u rounded to 7 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 4*a + 6. Is o(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**11)\/d*d\/d**16)\/(d**(-10))**(-21) assuming d is positive.\nAnswer: d**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503125 (base 7) in base 10?\nAnswer: 320430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436737?\nAnswer: 1436737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**2 - 37*g - 4. Let k be v(4). What is the units digit of (10 + k)*114*(-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 4. Let p(x) = x. Let j be p(4). What are the prime factors of r(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5215 + -479. Suppose -19*r = -18*r + 5, 3*z = -2*r + o. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -150*12*10\/(-300). Calculate the greatest common factor of n and 924.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/((21\/24)\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 - (-45 - -55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - 3*b**2 - 2*b - 4. Let l be j(-3). Let x be -1*2\/(-6) + 710\/3. Let r = x - l. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2593.791 years to months.\nAnswer: 31125.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, -2*x - 38 = -7*p + 2*p. Which is greater: -15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.09721244 rounded to 3 dps?\nAnswer: 23.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((10168\/2542)\/(4*1))\/(1\/(78\/2))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4*1*(-2 + -2). What is the tens digit of (-16 - -18)\/(g + 476\/(-159))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*287\/196 - -5\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 2 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23*h + 1779. Determine n(78).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 38. Suppose -11*d + 375 - 56 = v. Suppose 33*j - 36 = d*j. What is the remainder when 11 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -133*s**3\/11 + 8*s**2 + 43*s\/11 + 2\/11 = 0. Calculate s.\nAnswer: -2\/7, -1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100 - 100000?\nAnswer: -11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g)\/g*g*g*g**0*g*g\/(g\/g**(-1))*g**(-3\/2) assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 32440950*i**2 - 5*i = 0. Calculate i.\nAnswer: 0, 1\/6488190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 54 - 6 = 0. Let l = 34 - x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**6\/120 + q**5\/20 - q**4\/12 - 2*q**3\/3 - 41*q**2. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 941648*n**2 - 470825*n**2 - 470823*n**2 - 23*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 - 96 = -t, 5*t = -5*g + 480. Suppose -3*q - 2*q = -t. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**6\/60 - a**5\/30 + 71*a**2\/2 - 69. Let i(z) be the second derivative of w(z). Find f, given that i(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-72)*-4 + 8310\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590*k - g = -592*k + 109954, 8 = 4*g. Is k a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 829507, 1658992, 2488477, 3317962?\n\"Answer: 829485*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 1. Let q(b) = 16*b - 5. Calculate -5*k(u) + q(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21 - (-3 + 2)\/1. Which is bigger: -23 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -6?\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -807 and -0.1?\nAnswer: 806.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 7. Let i = -6 + 11. Let p = 137 - 134. Solve -p*g = -2*d - 12, -d + g = s*g - i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -67*g + 65*g + 1398, 0 = -3*g - z + 2102. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 1. Let r(m) = 12*m + 3. Calculate -11*b(a) - 4*r(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 + 124. Let v(m) = -m**2 + 8*m + 13. Let h be v(i). Let l(o) = -o - 4. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*k**5*m - 459*k**3*m - 25156*k**2*m - 2*k**2 wrt k.\nAnswer: 8340*k**2*m - 2754*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -a - 3*a. Suppose a = 2*z + z, 0 = 2*c - 4*z - 24. Suppose 0 = -5*t + c + 5. Solve t*h - h = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, a: 7}. What is prob of picking 4 p?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 29 = -2*u - 3*c, 3*u - c = 49. Let s = -14 + u. Suppose s*h - 6*h + 836 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 4. What is the lowest common multiple of f and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 12\/11, -1590784\/15, 3?\nAnswer: -1590784\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23831?\nAnswer: 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -307*p**2 + 1 + 0 + 316*p**2. Let s be (-3 + 2)\/(2\/2). Give c(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5408567, -5408577, -5408599, -5408639, -5408703?\nAnswer: -5408797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j - 2 = -51*j. Put j, 4, -17 in decreasing order.\nAnswer: 4, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Let i = -300.3 - -300. What is the closest to x in -6, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4 + 4*a**2 - 3*a**2 - 4 - 9*a. Let o be w(10). What is the third derivative of 5*c**o + c**4 - 2*c**2 + 0*c**4 - 2*c**4 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 42 + 40)*(k**5 + k**5 - 4*k**5 + (0 + 5 - 3)*(-2*k**5 + 2*k**5 + k**5) + 2*k**5 - 2*k**5 + k**5).\nAnswer: 47*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 1422230*o**2 - 9955365*o = 0. Calculate o.\nAnswer: 0, 7, 284439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -20*t**2 - 960*t + 363. Calculate i(-47).\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6 = -9*w - 6, -2*w + 182 - 263 = 5*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 3*t**3 - t**3)*(-10 + 4*t**2 + 10) + (3*t**2 - 4*t**2 - t**2)*(0 + t**3 + 0) + 2*t**5 - 3*t**5 + 2*t**5.\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90532 is divided by 2157?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4798 + -6.7052. Let d = y + 5.15. What is d rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*q = 20, 4*c + 4*q - 44 - 12 = 0. Let h = -8 + c. Suppose 0 = -5*b - 0*w - 3*w + 19, -w = h*b - 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1114875*g + 25. Let d(r) = 2*r - 1. Let k(f) = -30*d(f) - z(f). Let l be k(-27). What is l rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13018894*z + 35926829 wrt z?\nAnswer: 13018894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380100823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(i - 2*i + 0*i) - 167 + 79 + i + 80 in the form w + k*i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/62350496 and -29\/62350496.\nAnswer: 62350496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 67872.594.\nAnswer: -27149.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*v + 78*v + 133455 = 0. Suppose 35*h - v = 14*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-3*-5)\/sqrt(3).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 14*u**2 + 14*u + 22. Let g(d) = -16*d - 3. Calculate the remainder when g(-1) is divided by y(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 5, -4, -3 in ascending order.\nAnswer: -102, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 44*g - 91. Let v be u(23). Let j = 389 - v. Let f(h) = -h**2 - 5*h - 5. Determine f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/328 and 16\/350837?\nAnswer: 2806696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 28 - 104 + 28 + 48 + 3*k. Suppose 22 = g - 5*i, -3*i - 10 = 2. Let w(u) = u**g + 6*u**2 + 3*u**2 - 2*u**2. Give o(w(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*o = -13, -4*l - l + 15 = -o. Suppose 20 = 2*g - l. What is the least common multiple of g and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 89 = 49. Let s = 0.8 + -1. Which is the third smallest value? (a) g (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 1332\/(-1554) + 643\/(-77) - 3\/7?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 111. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 + 0.14. Let x = -3\/10 + 1\/20. What is the closest to -2 in n, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33146 (base 7) to base 2\nAnswer: 10000001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -13, 2, -10.\nAnswer: -13, -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 33*s - 1. Give f(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -15*h**3 - 44 - 2*h + 1\/2*h**2 - 1\/2*h**4. What is the second derivative of b(m) wrt m?\nAnswer: -12*m - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 380, 531, 668, 791, 900?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (21 - (-6 + (-14 - -15)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6296400\/2067)\/(-90) - (1 - (-11)\/(-13))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -1ceede?\nAnswer: -1ceee8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -3 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 1 z when three letters picked without replacement from rfrmorfrmzfrh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*y + 137*y + 196*y + 158*y + 7*y - 2.\nAnswer: 819*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -g - 80, s + 4*g - 30 = 14. Let u = -479 - -484. Suppose u*q = -2*q + 371. Calculate the remainder when q is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7798)\/(-21) - (-1)\/(-3). Let j = 380 + f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -622.5 + 509. Let x = 92 + w. Round x to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/4 - 2*g**3 - g**2 - 8*g + 168. Determine d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.89 - 1. Let r = u + 0.08. Let z = -0.03 - r. What is the second smallest value in -3, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 - -1805. Is 53 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-86)\/(-2) + -1)\/(0 + -2). What is the tens digit of 21*((-371)\/s + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Let l be (-82001)\/1 + a + 2\/(-2). Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 m when three letters picked without replacement from mmmummmummmmmmmmmmmm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*a = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*r - 12 - 49, -16*r + 9 = -3*g - 140 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = 2*o, o - 2*d - 6 + 0 = 0. Solve -31*p**2 - o*p - 4*p + 32*p**2 = 0 for p.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/48)\/((-3)\/(6\/1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166180 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 3 - 3 + (o**2 + o**2 + o**2)*(-o + 0*o + 0*o) - 339*o**3 + 115*o**3 - 674*o**3.\nAnswer: -902*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + -1 + 12 - 3. Suppose -v*a = -c - 5075, 11 = 2*c + 1. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -57*f - 13. Let v(o) = 115*o + 28. Let w(z) = -13*a(z) - 6*v(z). Let r(n) = 2*n**2. Give r(w(p)).\nAnswer: 5202*p**2 + 204*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - 3*m**4 + 15*m**2 - 15*m**2 + (-m**3 + m**3 + 2*m**3)*(m**2 - 5*m**2 + 5*m**2).\nAnswer: -m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4957612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17083000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from {o: 3, v: 2, x: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7167 (base 15) in base 13?\nAnswer: ab91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 31. Let y be r(4). Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h**2 - 105*h**2 - h + h + 15026 - 15026.\nAnswer: -150*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13429 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/20)\/7)\/((-2)\/(-3)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 1354587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(756)*-2 + sqrt(756))\/(sqrt(12) - (sqrt(12) - sqrt(48)*-1)))**2 + (((6*1*sqrt(448))**2 + sqrt(448) - sqrt(448)) + sqrt(448))*1*2.\nAnswer: 16*sqrt(7) + 129591\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17035857 and 16.\nAnswer: 2.72573712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-11960)*506)\/(-2*1\/20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65539937, 65539938, 65539939, 65539940, 65539941?\nAnswer: 65539942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7182\/5 - 1436. Factor p*i**3 + 2\/5*i + 4\/5*i**2 + 0.\nAnswer: 2*i*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7630336 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {y: 6, i: 3, b: 3, k: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/54 and -0.0992 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233 - 179. Let x = c + -56. Let w be ((-1)\/11)\/((-1)\/2). What is the second smallest value in -3\/2, -6, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*z**4 + 4115*z**3 + 54750*z**2 + 15*z + 2.\nAnswer: 360*z + 24690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875*l + 1 - 1119*l - 2158*l.\nAnswer: -2402*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -6.7871551.\nAnswer: -10.7871551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110232)\/124011)\/((-2)\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, -1, 5, -2.\nAnswer: -29, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x**0*x))))\/x)**(2\/9)*x\/(x\/x**(-6))*x*x\/((x*x*x**(-1\/5))\/x) assuming x is positive.\nAnswer: x**(-226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-160))\/(4 + 75\/(-21))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 63, 60, 55, 48, 39, 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 2985. Is 3\/(-12) + l\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/1554 and 7\/666.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*n**5\/5 + 412512*n**4\/5 + 11302436*n**3\/5 + 8672512*n**2 + 16367604*n\/5 - 71445176\/5 = 0. Calculate n.\nAnswer: -6418, -23, -11\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -126. Suppose -c = 7 - x. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.49223 minutes in nanoseconds?\nAnswer: 5429533800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*(-2 + 9 - 1). Let b(j) = -2*j**3 + j**m + 2 - j + 4 + 0*j**2. Let s be b(0). Solve r + s = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25086 divided by -2572?\nAnswer: 12543\/1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49143192 - 97944542. Let w = -147087733.647000676 - q. Let x = -0.353 + w. What is x rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {j: 1, e: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let i(z) be the second derivative of 0 - 3\/2*z**2 - 5\/6*z**3 - z. Give 3*g(w) - i(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -161. Let h be ((-4)\/3)\/((-3)\/b). What is the units digit of (5\/(-3))\/((-2)\/h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3306, 3307, 3308, 3309, 3310?\nAnswer: 3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -61389.15 to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**3 - 487193 - 5*y**3 + y**2 + 487194 - 13*y**4 - y to the form w*y**3 + d*y**2 + l + g*y + t*y**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Let z = 9029 + -9026. Solve -2*k - z*m - 1 = f, 0 = -k + m - 0 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 241\/9. Let o(y) be the first derivative of y**4\/4 - y**3 + y**2\/2 + y - 2. Let m be o(2). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 11. Suppose 5*i - 48 = 2. Let y be v(i). Let t = -36 + y. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 18*p**3 + 12*p**2 + 32*p.\nAnswer: 2*p*(p - 8)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 6*w - 691. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 29*v**2 - 16*v + 26. Calculate n(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k + 37*k + 0*k - 63*k + 24*k - 19*k + 73*k.\nAnswer: 88*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -10331?\nAnswer: -10335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*r**4 + 4*r**3 - 113*r**2 + 4?\nAnswer: 552*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/11)\/p)\/(p*p**(-14)*p))\/((p**(-1\/9)*p)\/(p\/(p\/(p\/(p*p\/(p**(4\/3)\/p))))*p)))**(-30\/13) assuming p is positive.\nAnswer: p**(-10430\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2 - 48*f = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -761719?\nAnswer: -761720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -19*y - 4 + 81. Let n be (-1 - 0)*21\/(-1). Is 8 a factor of (-1*y\/(-5))\/(n\/420)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/18*156\/(4\/(-1)). List the prime factors of v*33*4\/6.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {k: 1, d: 4, c: 5, v: 5, i: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -1\/6, -1688?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 34 = 2*g, -4*g = 4*d - 0*d - 68. Calculate the remainder when g is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -9*6)*(-853)\/33. Let o = c - -1317. Are 0 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107293338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819.\nAnswer: 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 9. Let o = 11 + g. Suppose 0*f - o = -f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44434405 (base 6) to base 2\nAnswer: -101000111101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9853483 rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*i**4 + 9*i**3 + 1112 wrt i.\nAnswer: -40*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-11) - (-460)\/110. Suppose -3*a + 6 = -0. Solve -a*j - 3*m - 18 = -m, -b*m = 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 8:09 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 + -3?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/3 - 2386*y**4\/3 + 20708*y**3\/3 + 715784*y**2\/3 - 766000*y\/3 - 1458688\/3 = 0.\nAnswer: -14, -1, 2, 22, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 + -34.2\nAnswer: -34.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -55. Sort -19, 3\/2, m in increasing order.\nAnswer: -19, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11172.752 and -0.3.\nAnswer: 11172.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37844733.2521036 - -37844669. Let h = w - -2.2521296. Let o = -62 - h. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 0*y**3 + 5*y**3 + 2*y + y**3 as q + a*y**2 + l*y + h*y**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-144))\/((-435)\/(-116))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-1312)\/(-123)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 8, j: 4, t: 3}. What is prob of picking 1 j and 2 z?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*i - 8. Suppose 0 = 5*b, -j - 2*b + 42 = i*j. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1532565 (base 7) to base 5.\nAnswer: -23203430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5933, 11910, 17887, 23864, 29841?\n\"Answer: 5977*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 61*v - 694. Give b(-16).\nAnswer: -3302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (581709\/(-111566) - 0). Let v = 2\/7969 + l. Find the common denominator of (-1)\/2*57\/18 and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -12. Suppose 8*m = x*m. Which is smaller: m or 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let g = -6946 - -6949. Suppose v = -g*p + 7. Solve u = -0*i + p*i - 7, -u + 14 = 5*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2) - (2 - 4914267\/120). Let m be (-6)\/14 + (-14)\/(294\/(-859959)). Let h = v - m. Calculate the common denominator of h and -99\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + f = 85, 31 = g + 3*f. Let t = -23 + g. Suppose 11 = t*b - 24. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 358184556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2534 + 1.3724. Let h = w - 1.616. Round h to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d)*(-2 + 0 + 3) + (-3 + 5 - 3)*(-2*d + 0*d + d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 16 - 9) + -4 + (3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 662038 and 113.\nAnswer: 74810294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555079?\nAnswer: 1555079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + aa9c?\nAnswer: aab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - (1 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 58, 3, -2\/17 in decreasing order.\nAnswer: 58, 3, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138288, -552360, -1242220, -2207868, -3449304, -4966528?\nAnswer: -6759540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 468 + -2ab0?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 11:34 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678926.1ml to litres.\nAnswer: 678.9261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -1\/2*w**3 + 0*w + 0 + 0*w**4 - 4*w**2 - 1\/15*w**5. Differentiate f(i) with respect to i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1249\/220360?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 22422*m**2 - 5370421*m + 5392842.\nAnswer: (m - 22659)*(m - 1)*(m + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 24*p - 308. Does 59 divide f(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8*m**3 + 8*m**2 - m - 9. Let d(i) be the second derivative of 1\/6*i**4 - i**2 + 12*i + 0 + 0*i**3 - 1\/10*i**5. What is -9*d(x) + 2*k(x)?\nAnswer: 2*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 3*c - 8. What is f(5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 1827*f + 40434 = 0 for f.\nAnswer: -586, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 5*u + 5*p - 118, -5*u + 222 = 2*p. What is the greatest common factor of 253 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3298*m*v**3 + 2*m*v**2 + 9*v**3 + v**2 + 9*v wrt m?\nAnswer: -3298*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2816)*4*-6 - ((-1 + sqrt(2816) - sqrt(2816)) + -5 - sqrt(2816) - sqrt(2816))))**2.\nAnswer: -7744*sqrt(11) + 1363065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(sqrt(11)*2 + -3) - ((sqrt(396) - (sqrt(396) + -1)) + sqrt(11) - (1 + sqrt(396) + sqrt(396)))**2))*4.\nAnswer: -5268 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(81 + 64 - 18)*(-i + i - i) to d + x*i and give x.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26b (base 13) to base 8\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 - -5767?\nAnswer: 6022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.22 - 12.220609. What is z rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 1, o: 1, w: 1, s: 1}. What is prob of sequence fwlo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/9, -2\/5, 23, 0.385, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.325 - 1.525. What is the third biggest value in a, -2\/5, -112, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 39168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5*(-7)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (214\/6)\/((-1)\/(-3)). Suppose -2*f - z = l, 0*f + f + 2*l = -61. Let h = 113 + f. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (21 + 4)) + 1 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21800 - 7376?\nAnswer: -29176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 0 + 6 - 4 - 41*q**3 + 42*q**3. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6*o**2 - 4 - 2)*(-2*o**2 - 2*o**3 + 2*o**2).\nAnswer: -12*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13))**(-1\/31)\/(b**(-4\/7)*b*(b**7\/b*b)\/b) assuming b is positive.\nAnswer: b**(-1304\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2973 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1 - 2)\/(-20 - -16). Let a = -6 - -9. Suppose a = -5*o - 7. Sort o, 2, r.\nAnswer: o, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.02473 grams in milligrams?\nAnswer: 84024.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Suppose -j = 5*i + 8 - 26, -c*i = -5*j - 22. Let k be (-1 + 11)*j\/(-4). Solve 2*x + 15 = -2*b + 7*x, 2*b = 3*x - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 11\/27, -0.94, 3, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(-49 - 27 - 11) - 3*u + 3 - 3.\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 75100 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*f - 7. Suppose 27 = 5*s - c - f*c, -20 = 5*c. Suppose 3*v = 9 - s. Solve 6 = -v*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i + 1. Let q be s(-2). Let w be 6 - 2*(4 + -5). Let y be -4 - (-1)\/w*34. Sort y, q, 4 in ascending order.\nAnswer: y, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4522.855 - 4513. Round a to 1 dp.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 14. Let i be r(12). What is the greatest common factor of 22 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2669497 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10862819, 21725630, 32588439, 43451246, 54314051, 65176854, 76039655?\nAnswer: 86902454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211234?\nAnswer: 2, 31, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/2*13*(-87)\/754\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7384645t?\nAnswer: 738464500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57 + 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f - 2*f)*(-f + 3*f - 4*f) + 0*f + 12*f**2 - f - 13*f**2.\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1919762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -69 - (-89 - -112).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 1\/3 (c) 0 (d) -0.067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50629331 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*t - 8 = 0, 6*t = 2*t - 12. Let j = -12 + b. Let c = -6\/235 - 1351\/470. What is the common denominator of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2293572*d. Let i(t) = -103*t. Give b(i(q)).\nAnswer: 236237916*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56213 + 56213.0028429. What is y rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 - 8\/16. Let v be (8\/(-32))\/(z\/4). Let o(i) = i - 1. Let g(f) = -3*f**2 - 5*f + 5. Give v*g(a) - 5*o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:50 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -3. Let x = -8.83 + -0.17. Let q = x - t. What is the closest to 2\/3 in q, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggtpgtbkpgttggt. Give prob of picking 1 g, 1 k, and 1 b.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -daa (base 15) to base 9.\nAnswer: -4207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24051\/1069 - -3\/2138. Let w(s) be the first derivative of z*s**4 - 4*s - 118\/3*s**3 - 81\/20*s**5 + 20*s**2 + 16. Factor w(m).\nAnswer: -(m - 2)**2*(9*m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 133*z - 703. What is c(49)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3 = 5*r - 12, 2*w = 4*r. Solve -r = 4*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/13 - 1576*i**2\/13 + 8952*i\/13 + 337824\/13 = 0?\nAnswer: -12, 18, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21012001 (base 3) to base 11\nAnswer: -3a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12873 is divided by 6429?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {q: 2, b: 2, j: 3, t: 9, o: 3, v: 1}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/7 - 100*i**2\/7 + 14*i = 0. What is i?\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 40650, -2, 13, -5, -3, 0 in decreasing order.\nAnswer: 40650, 13, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -255, -8, 419, 1020, 1789, 2720, 3807?\n\"Answer: -y**3 + 96*y**2 - 34*y - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 18. Let j be (-8)\/((44\/8 + -5)*-2). Suppose -j - n = -q. What is the greatest common factor of 144 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14981085*a**4 + 20746*a**2 + 18.\nAnswer: -359546040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2699887 rounded to the nearest 10000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + f**2 - 1. Let s be 4\/(3 - -1) - 0. Suppose -5*c + 4 = -s. What is v(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 2\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 991 = 5*i, 3*c + 0*c + 792 = 4*i. What is the highest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwt when three letters picked without replacement from owpwtp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 562 - 849. Let y = -274 - q. What is the highest common divisor of 117 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16336 - -16330. Let c(n) = 5*n - 17. Let a(b) = 2*b - 8. Let g(u) = 13*a(u) - 6*c(u). Give g(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2673.5, 0.13, 4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -502 (base 11) to base 2.\nAnswer: -1001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934529.\nAnswer: 479, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24080214 is divided by 684.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 300537285960 and -2854.\nAnswer: 300537283106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, h: 1, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702192 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*132\/264\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - t. Let w(i) be the first derivative of -i**2 - 1\/3*i**3 - 8 + 0*i. What is 5*j(v) - 3*w(v)?\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -3\/5 (c) -1\/5 (d) 4 (e) -3 (f) 2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9208487?\nAnswer: 23, 71, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 + 19*j**2 - 353*j\/2 + 345 = 0.\nAnswer: -46, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -202?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -118468+-0.5\nAnswer: -118468.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210 - 513. Let f = -290 - t. What is the highest common divisor of 1079 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415317 is divided by 22985.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35772559 a multiple of 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + -11. Let k be -1*(-34)\/(-8) + 3\/(-4). Sort m, 0, k in decreasing order.\nAnswer: 0, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 22 = -8*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 402886 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*d + 43. Let i(p) = -8*p - 51. Let q be i(d). Suppose -2*v + 0*v = 0. Solve -m + q = v, -5*b - m + 17 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23392239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552200461 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*r - 15789353 - 9992287, 0 = r + 5*j + 12890808. Let u = r + 5490828. What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 3*a**3 + 2*a**3)*((4 - 5 - 1)*(5*a - 2*a - 2*a) + 4*a - 6*a + 3*a) - a**4 + 7*a**2 - 7*a**2.\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 2*x - 4*x - 11.\nAnswer: -7*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1227, -1328, -1429?\nAnswer: -1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 16*f**2 + 15*f + 6. Let v be y(17). Let d be (-1)\/v*4\/12*12. Let u(g) = g**3 + 4*g**2 + 2*g - 4. Let t be u(-3). Is t != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = j + 588. Let l = j + 81. Does 8 divide (-20)\/l*1344\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 12, 29 in decreasing order.\nAnswer: 29, 12, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.99, 1\/6, -0.05 in descending order.\nAnswer: 0.99, 1\/6, -0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 10*s + 7. Calculate b(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850 = 6509*h - 6594*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5553 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/2*(-36 + 11) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27770.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 0*c + 2*c - 9*c. Let h(m) = m. Determine h(o(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Let m = 11 - l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5168966595 a multiple of 1636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4860 and (-2472)\/(-78) + 176\/572.\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(1\/11)\/v)*v**(-1\/2)\/v)\/(v**(-4\/9)*v*(v\/(v\/(v**10\/v*v)))\/v) assuming v is positive.\nAnswer: v**(-2009\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99606547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(32\/36)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85491 + 85486. Suppose 4*v = -4*r + 4, 2 = -v - 3*v + 2*r. What is the nearest to 1 in l, v, 2\/9, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.977096kg to nanograms.\nAnswer: 5977096000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188146, 376681, 565216?\nAnswer: 753751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -30. Let b = 4 + 1. Let a = w - b. Calculate the remainder when 31 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -1. Let x = 0.033 + 1.967. Let q = x + -2.2. Sort g, 0.2, q in descending order.\nAnswer: 0.2, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304) - ((sqrt(2299) + -3)**2 - sqrt(2299) - sqrt(2299))) + -2.\nAnswer: -2310 + 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61512*u = -66535*u - 271242 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6219?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4088.306 days?\nAnswer: 353229638.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 15. Let d be i(6). Suppose -3*b + 15 = 0, -7*b + d*b + 17 = -c. Solve 0 = -5*z - c*s - 5 - 1, -5*z + 4*s - 27 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 - 80*v**2 - 85*v - 179. Let a(q) = q**3 + 39*q**2 + 43*q + 89. Let i(u) = -5*a(u) - 2*z(u). Let o be i(-34). Which is smaller: o or 289?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:52 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:00 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103067, -206327, -309575, -412805, -516011, -619187?\nAnswer: -722327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 35 = p, 5*a + 2*p = p + 91. Let g be (-2*(-3)\/a)\/(-2). Is g bigger than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-220)\/(-176)*1\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(27) - (sqrt(60)\/sqrt(2))\/sqrt(10).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396543489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 111*n**2 + 176*n + 760. Determine x(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 5 - 4*a**2 + 3*a - 5395*a**4 + 2*a**3 + 2*a + 5400*a**4 - 2*a to the form k*a**2 + s + v*a**4 + b*a + f*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/10*(-16)\/5. Let z be x\/10 - (-2)\/5. Suppose z*d = 14 + 28. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzjzpzjjpzjjjzppjjkp. What is prob of sequence jj?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -1\/3, 204, 5?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1368181016 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 5159 - 2409. What is the least common multiple of 946 and u?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1860\/13 or -142?\nAnswer: -1860\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1 + d**2 + 0 + 3*d + 2. Suppose -o = -0*p - 2*p + 10, p + o - 2 = 0. Suppose p*r = 2*f, f + 12 = -3*r - r. What is g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 6*l**2 + 62*l**2)*(-4*l**2 + 1 - 1) to v*l + x*l**2 + r*l**3 + c + h*l**4 and give h.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -5)*1 + -2)**2 + 2*(1*sqrt(17) + -2)*4.\nAnswer: -62*sqrt(17) + 458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*a - a, -2*a = -x + 4. Let y be 20\/x + -1 + -2. Calculate the highest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8584 - -25508\/3. Are -80 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(832) - (-5 + -1*sqrt(832))) + sqrt(832) - sqrt(832))**2 - (1 + (-1 + sqrt(832))*-4 + sqrt(832))**2.\nAnswer: -4155 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -15\/206777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = -27*p - 4*w, 667 - 701 = 2*w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2236073 and 3268.\nAnswer: 2239341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226 + 310. What is the greatest common factor of t and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-65)\/26*(-6)\/(-5) - -71?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 120595?\nAnswer: 46\/120595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)*z**(-1\/5))\/(z**(-1\/4))**(-39) assuming z is positive.\nAnswer: z**(-2627\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5580 < -5711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 221\/4. What is the fourth biggest value in 4, y, -7\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 45*q**3 + 2*q**2 - 1. What is t(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let b be i(1). Let t(q) = 10*q**3 - 2*q**2 + 4*q - 3. Is t(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.255, 59\/126?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - 1*(sqrt(216) + (sqrt(216) - sqrt(216)*2 - sqrt(216))))\/sqrt(8) - ((-1*sqrt(735))\/(sqrt(20)\/(sqrt(16)\/sqrt(4))))**2)*3*4.\nAnswer: -1764 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 691*d - 329*d + 1124*d + 53496 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 483f9b1 - 3?\nAnswer: 483f9ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 take away 2817242.6?\nAnswer: -2817240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01362 rounded to four decimal places?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*b - 55*b + 422*b. Suppose 4*h - 4*q - 42 = -2*q, -4*q - 3 = h. Let f = h - 5. Solve 3*k - f*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(190)*-1 + sqrt(190)))\/(-2*(-2*sqrt(360) + sqrt(360))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 5*q + 20 + 6*q + 0*q.\nAnswer: 2*q + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9394.\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2349*f*t - 6*f - 105590*t wrt f.\nAnswer: 2349*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 356825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27, 1\/4, 1, -1\/3, -23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 755 + -475. Suppose -4*k - s = -8*k. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 - 13*v**2 + 11. Let t(y) = -y**4 - 2*y**3 - 12*y**2 + 12. Let g(p) = -2*d(p) + 3*t(p). What is the first derivative of g(j) wrt j?\nAnswer: -12*j**3 - 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172)\/1806 + 1664\/10416.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5523 - 5283 = 5*j. What is the lowest common multiple of 712 and j?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a**3 - 11*a**3 - 87*a**3)*(-3 - 4 + 0 + 1 + 3 - 2 - 2 - 1 + 5 + 0 + 1 - 3 - 1 - 3 + 5 + 0 + 1 - 2 + 0 - 1 + 0 + (-3 - 1 + 6)*(1 - 5 + 2)).\nAnswer: 820*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 40*w + 32*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 33*z - 222. Let p be u(17). Solve 0 = l - p + 89 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1892\/9 - 210. Which is the closest to 1? (a) 3 (b) -3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -8550?\nAnswer: 854d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 6760?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -2, 4, 2, 4801 in ascending order.\nAnswer: -2, 1, 2, 4, 8, 4801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -771, -1667, -3167, -5277, -8003?\nAnswer: -11351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w. Let u be h(-5). Suppose 11 = -r + u. Let -2 - 2 + 4*x**2 + 5*x - r*x**2 + 4*x**2 = 0. Calculate x.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjdd when four letters picked without replacement from adaajxdcaxcjxaa?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*w - 63, 36 = -3*o + 4*w - 67. Let r(a) = a**2 + 29*a - 131. Let d be r(o). Is d at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -10262937.\nAnswer: 7\/10262937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -20. Let j(a) be the first derivative of -1\/3*a**3 + 1\/2*a - 1\/4*a**t - 2. Find b such that j(b) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 14) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -221044011?\nAnswer: -221044000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*n + 33. Suppose 3*r + 5*d + 15 = 0, 5*r = n*r + d + 3. Suppose -15 = -7*y + 4*y. Put y, -3, r in descending order.\nAnswer: y, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 15.072. Let m = a - -0.004. Round m to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45524 and -4.\nAnswer: -1.82096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -11*b**3\/3 - 149. Let x(r) = -6*r. Give v(x(n)).\nAnswer: -396*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aou when three letters picked without replacement from haaaohauuhaaah?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/800 in -2, -6\/11, 1\/7, -1\/5, 49?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -446664 (base 7) in base 14?\nAnswer: -20c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285367 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**5 - 1606*n**3 + 87190*n**2 wrt n?\nAnswer: -240*n**2 - 9636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 26*q - 91 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 4. Suppose -4*d + 7*d = -15, -5*d - 25 = -t. Let n(s) = 7*s - 157. Let k be n(23). Suppose -y - k + 1 = t. Calculate u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -2020, -4490, -7928, -12322, -17660, -23930?\nAnswer: -31120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (3 + -1 + sqrt(847) - sqrt(847)) - 1*sqrt(847)*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9420452 meters?\nAnswer: 942045.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 + -25. Suppose -2*g + 295 + j = 0. What are the prime factors of g?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/5184 and 3\/8.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjjjnfjafjp. Give prob of picking 1 n, 1 a, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5231\/24 - -218. Let d(i) be the third derivative of 5\/6*i**3 + 0*i + 1\/120*i**6 + 0 + 1\/12*i**5 + n*i**4 - 3*i**2. Give d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669959257 by 5.\nAnswer: 669959257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yebymheemeyyyhkeeyy. Give prob of picking 1 k and 1 h.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17963629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9289105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 11*i**2 - 8*i**2 - i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 1, m: 1, z: 4, n: 1, x: 5}. What is prob of sequence mxzn?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j + 57. Does 15 divide q(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - o**2 - o**2 + 2*o**2 + 0*o**2 - o**2 + (0 + o + 0)*(0*o + 2*o - o) - 17*o + 17*o + o**2 - 12 + 20 + 2*o**2 - 11 to y + i*o**2 + l*o and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*a = -14, 2*l + 4*a - 7 = -a. Let c = l + 9. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**7\/7 - 91*c**4\/4 - 119*c**3\/3 + 339. What is the third derivative of g(m) wrt m?\nAnswer: -120*m**3 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:22 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2625295 litres?\nAnswer: 262.5295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + 3*o)*(-18 + 17 + 8 + 2*o).\nAnswer: 2*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-15 + -12 + (3 - -18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4 - 16 - 4*z)*(12 + 12 - 10) as m*z + n and give m.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(84)*4*-4)\/((sqrt(108) - (sqrt(108) + -4*sqrt(108)*2 + sqrt(108)))\/((1*sqrt(90) + sqrt(90) - sqrt(90))\/sqrt(10))).\nAnswer: 32*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 3. Suppose -g*x - 2*u = -7*u - 30, u + 18 = 4*x. Suppose 39 = 3*f + 6. What is the remainder when f is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 11145550?\nAnswer: 78018850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -5, 0.1, 0, -16, -138?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23496 or 23500?\nAnswer: 23496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 20*h + 26. Let x be f(19). Suppose 0 = 2*r - x*r + 195. Let q = -39 + r. What is the closest to -1 in q, 3\/10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 + 6*v + 5. Let u be p(6). Suppose -4*r + 4 = -4*o, 4*r - 2*o = 10 + 2. Is r smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlsgvqlfvslffvfvvgf. Give prob of picking 1 f and 2 g.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 + j**3\/3 - 9*j**2\/2 - 7*j. Is t(9) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 - (2 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153526.\nAnswer: 2, 29, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 180762 and 180762 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -53*n + 17. Let h(x) = 27*x - 9. Determine -6*g(q) - 11*h(q).\nAnswer: 21*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10, 4*z - 134 = -3*x + 3*z. Suppose -3*b - q + 34 = 0, 0 = -3*b - 0*q + q + x. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h**0*h)\/h)**50)**(2\/67)\/((h**(-1))**(3\/4)\/(h**(-1\/4)*h*h)**(-2\/77)) assuming h is positive.\nAnswer: h**(10877\/2948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5554942742 + -0.176.\nAnswer: 5554942741.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - v**4 + 366 - 4*v**3 - 3021*v + 3019*v to l*v**3 + o*v**2 + f*v**4 + k*v + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122127, 244387, 366647?\n\"Answer: 122260*y - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 68*n**3 - 138*n**2 - 200*n + 6 = 0.\nAnswer: -1, 1\/34, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3))**(-4\/7)*(i\/(i\/i**1))**(-3\/34))**20 assuming i is positive.\nAnswer: i**(-3350\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3657.\nAnswer: -1\/3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 - 2*r + 7. Suppose 0 = -5*v - 10 - 15. List the prime factors of a(v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 1, -2, 174 in ascending order.\nAnswer: -2, 1, 64, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08022623 + -17007.\nAnswer: -17006.91977377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 230428896 divided by 87\nAnswer: 2648608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -228 - -c?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -320742 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -679, -1, -12 in descending order.\nAnswer: -1, -12, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k + 20 = 0. Suppose k*r - 17 = -2. Suppose r*f + f = 308. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -19. Suppose -2*r = -m + 38, -2*r - 3*r = j*m + 84. Which is bigger: -17 or r?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0100971 plus -424839.68?\nAnswer: -424839.6900971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*b**2 + 4*b**2 + 4*b**2 + (-1 + b + 1)*(5*b + 5*b - b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -351242, -351127, -351010, -350891?\n\"Answer: x**2 + 112*x - 351355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 12. Solve -4*k - 14 = q*n, 0 = -2*n + 3*n + 5*k + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101805384.000408 + 101804966. Let y = 418 + f. What is y rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -197, -428, -751, -1166?\n\"Answer: -46*m**2 - m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 13. Let p(c) = c + 14. Let i(m) = 6*k(m) + 5*p(m). Let h be i(-10). Factor 11*g**h + 39*g + 34*g**2 + 25*g**3 - 4*g + 10 + 5*g**4.\nAnswer: 5*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -7 + 0*n**2 + 0*n**3 + 4\/5*n**5 + 9*n + 0*n**4. What is the first derivative of f(q) wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -75. Let w be 7\/h - (2\/6 - 2). Suppose 5*y + w = -3, -3*y = -4*f + 15. Solve -4*g - 3*r + 2 = 0, 6 = f*g - 5*g + 2*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133172216 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - -2d49?\nAnswer: 2d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484599 and 1572717.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 34 = -104. Suppose 6*z + p + 4 = 0. Let s(o) be the second derivative of -o**5\/20 - o**4\/4 - o**3\/2 + 3*o**2\/2 - o. What is s(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/(1888\/(-256))*(-27)\/(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13c4 - 0?\nAnswer: 13c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-67)\/8)\/(4\/182 - (-685425)\/6653192).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*k = 974 - 80 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/23 (b) 2\/5 (c) -136 (d) 0.82 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -11, -5, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219203394 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -25*g**4\/12 + 45*g**3\/2 - 25*g**2 + 66*g. Factor b(r).\nAnswer: -5*(r - 5)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1564 and 37846454?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-1200)*32)\/(2*111\/10).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:51 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612) + 1 - sqrt(612)) - sqrt(17))**2*4.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062304 to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 12318. Let j(n) = -23*n. Determine j(m(v)).\nAnswer: -23*v + 283314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*p**4 - 318*o*p**2 + 1371*o*p + o wrt p?\nAnswer: -12*o*p**2 - 636*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*m = 31, 0 = -4*h + 959*m - 962*m - 30 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 5.403?\nAnswer: 9.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/((-10)\/735). Let h = -17 - i. What is the remainder when 59 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 17. What is the remainder when 26 is divided by k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051962 to four decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/527 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-476)\/(-210))\/((-392)\/735)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 881, 2063, 3729, 5885?\nAnswer: 8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:29 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + n - 77, 0 = 2*b - 5*n + 37 - 92. Solve 156 - 16*p - p**4 - 20*p**2 - 4*p**5 - 140 + b*p**3 + 8*p**4 - 3*p**4 = 0 for p.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = x + 4*x. Suppose -5*n - 5 = 0, 9*n + 144 = -3*u + 6*n. Let z = x + u. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2 + 8, 3*x = 5*g + 19. What is the lowest common multiple of 14 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/24*-3)\/((-1)\/40). What are the prime factors of 89\/2*(c - 18)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -65*c**2 - c + 1029. Let y(n) = n. Determine y(g(l)).\nAnswer: -65*l**2 - l + 1029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968 a factor of 51248688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(-1)\/(-33)*814\/(-148) + 4*1.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 13*f**2 + 16*f - 13. Let v be l(-10). Let d = 274 - v. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/6*u**4 - 10*u + 0 + 3*u**2 - 5\/6*u**3 + 1\/60*u**5. Find a, given that n(a) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216\/(-24)*-27 - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1268 + 1270. Let i(l) be the second derivative of 0 + 1\/5*l**3 + 1\/50*l**5 - 1\/10*l**4 + 10*l - 1\/5*l**b. Factor i(z).\nAnswer: 2*(z - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6885 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 o = -13 - -15. Sort -1.1, o, 5 in increasing order.\nAnswer: -1.1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4820 and 2.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 365240471 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:50 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19171, -38304, -57317, -76210, -94983?\n\"Answer: 60*h**2 - 19313*h + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfjbxdfb. What is prob of sequence ddx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-800)\/(-192)*(2\/2 - -5). Suppose -s = 418 + 278. What is the tens digit of s\/(-15) + 15\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.1 - 58.1. Let x = 107 + d. Let v = 55.9 - x. What is the fourth smallest value in v, 0, 4, -20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 - 26*i - 46. Let y be h(-6). What is the closest to -2\/7 in 5, y, 4\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1850 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 -29\/84 and 125\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 9*l**2 + 0 + 0.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p**5 + 2448*p**4 - 2436*p**3 + 608*p**2 = 0. Calculate p.\nAnswer: 0, 1\/2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y - 121 = 33*y. What is the third derivative of y*d**3 - 5 - 1 - 13*d**4 - d**2 + 28*d**4 - 14*d**4 - 21*d**2 wrt d?\nAnswer: 24*d + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1043 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3060 and -801?\nAnswer: 2451060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 2*o + 3019. Let j(p) = 18*p. Determine g(j(u)).\nAnswer: -324*u**2 - 36*u + 3019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**5 assuming m is positive.\nAnswer: m**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/(-35)*(-3500)\/(-525)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-196)\/200 - -1)\/1. Let f(c) be the second derivative of -1\/5*c**2 - 1\/10*c**4 - 2*c - 1\/5*c**3 - g*c**5 + 0. Find v, given that f(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153144.4*-1.74\nAnswer: -266471.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*p + 8596 + 1570 = -7475 + 4711 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3535\/18 + 198. Suppose 994 = -5*t + 299. Calculate the common denominator of (-1)\/6 + t\/54 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdukv. What is prob of picking 1 u and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 128*f**2 - 9*f + 34. Let c(o) = 64*o**2 - 4*o + 17. Let a = -69 - -63. Let h(m) = a*s(m) + 13*c(m). Find the second derivative of h(v) wrt v.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*a - 864 - 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 63873 and 63874 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:03 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 201221202212 (base 3) to base 16\nAnswer: 5fe3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 875569.1l?\nAnswer: 875569100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.00003752 - 221. What is i rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 8. Calculate p(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341061 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqa. What is prob of picking 3 a and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 101*y - 1679. Determine h(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 408761519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*8\/(-12)*(-9)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 310542, 621079, 931616, 1242153, 1552690?\n\"Answer: 310537*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g - 35 = -85*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -152.53 and -0.023.\nAnswer: -152.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1011100000000011011110 (base 2) to base 11\nAnswer: -177a139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/769986 and -67\/1242.\nAnswer: 17709678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18229\/71412 - 5\/2164. Let w = -1\/11 - q. Which is the third smallest value? (a) 1\/2 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**3 - 12*d**3 + 16*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*i - o = 105*i - 307599996, -2*i + 5*o + 307600020 = 0. What is i rounded to the nearest one million?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3185.09101398 + 3045.091009. Let i = w + 140. Round i to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(15)\/sqrt(5)*-2)**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011188328 to four decimal places.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1539))*-4 + -3 - 1*1*sqrt(1539)*5.\nAnswer: -81*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (27\/10)\/((-390)\/325)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-136)\/24)\/(-17))\/(9\/1475847) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 5132300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 - 2*w**2)*((3 - 3*w - 3)*(-2970 + 1009*w + 2970) + (-1 + 1 - 2 - 2*w)*(2*w + 0*w + 0*w)).\nAnswer: 6062*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2872 + 4?\nAnswer: -2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 85938.9 hours?\nAnswer: 309380040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1199.6\nAnswer: -1197.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + 37070?\nAnswer: 37047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80482465?\nAnswer: 5, 7, 2299499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11224\/11 - -1019. Let v = k - -14\/11. Put -1\/2, 3, v in increasing order.\nAnswer: -1\/2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95888471, -95888467, -95888463, -95888459, -95888455?\n\"Answer: 4*b - 95888475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by -29.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1723.6 to the nearest 10.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 + 44370*v - 444000 = 0. What is v?\nAnswer: -14800, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:38 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170467485 divided by 3.\nAnswer: -56822495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -30*n - 205, 30 = 309*u - 307*u - 4*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110111 (base 3) to base 11.\nAnswer: 5804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r - 252. Let d be z(-22). Calculate the highest common divisor of 28 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158267779.\nAnswer: 1031, 153509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (63 + (-30 - -17) + -9)) + -2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*r = -6457, -p = -0*p - 3*r + 1623. Let u be p\/(-96) + 3\/(-4). Is u greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + 42\/140. Suppose 4*c - 12 = 4*t, -2*t = -2*c + 6*c - 12. Let n = -0.2 - -1.2. What is the biggest value in n, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:39 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v = -4*v + 37, 3*z + 2*v = -59. Let t be 3*(-170)\/(-15) - 1. Let y = z + t. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:38 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 178, 233, 304, 397?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08187275 + 420.78202725. Let n = j - 421. Round n to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-51))\/(226\/13899)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4541642 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-108)\/18 - 2)\/(1*2). Which is the nearest to 0.3? (a) -5 (b) -9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -7*j**6\/30 + 3*j**2 + 7*j. What is the first derivative of v(m) wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17716551 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4538, 139, -8 in decreasing order.\nAnswer: 4538, 139, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1*b)**(-4))**(-2\/11))**(-35) assuming b is positive.\nAnswer: b**(-560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -11936421.\nAnswer: -8\/11936421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*c*u**5 - c*u**3 - 44*c*u - 6*c + 14889*u**3 - 16*u - 50 wrt u.\nAnswer: 380*c*u**3 - 6*c*u + 89334*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/271, -2, -0.3, -3, 5, -8.44 in descending order.\nAnswer: 5, -2\/271, -0.3, -2, -3, -8.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110813 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1836 divided by 51\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397 + 4*b + 388 - 11*b - 3*b.\nAnswer: -10*b - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/80 and 89\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 22, -1073, 0, 0.4.\nAnswer: -1073, -7, 0, 0.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -18. Let a(k) = -k**2 - 13*k - 8. Calculate the remainder when b is divided by a(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25.4 in 173, -1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12218 divided by 149\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-3)\/51 + 0). Let b = u - -45. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -37, -2\/5, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqbobohqbcssbsqso. What is prob of sequence oh?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:15 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -10, -19, -28, -37?\n\"Answer: -9*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*32180\/46661.\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-24)\/(-112).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.7 != 1157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/5*(1 + -4). What is the derivative of 2 + 2 - 2 + c*z**4 wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5301235 to the nearest integer?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3544, 7027, 10500, 13957, 17392, 20799?\nAnswer: 24172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2. Let r(c) be the second derivative of -11*c**3\/6 - 26*c. Calculate i(r(u)).\nAnswer: -363*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**2 + 65*p - 70 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3 - f + 12 + 7 + 0*f. Let x be o(6). Solve x = 4*y - 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/32431 and -71\/14652484.\nAnswer: 600751844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 4 - -7658*((-100)\/(-8) + -12)?\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a28e (base 15) in base 10?\nAnswer: 34334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -17\/2*s**2 + 0 - 3*s**3 - 1\/12*s**4 - 4*s. Does 16 divide m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777061926?\nAnswer: 2, 19, 131, 571, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 3 + 2 + -2. Let y(k) = 0 + 9*k**2 - q + 3. Is y(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 25. Let d(o) = o**2 - o - 1. Let v be d(-1). Let n be 6\/(-2)*v + 0 + 7. Which is the third biggest value? (a) n (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23559, 47132, 70713, 94302, 117899, 141504?\n\"Answer: 4*r**2 + 23561*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472103?\nAnswer: 3, 163567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*12\/(-9)*4480\/2016.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -8 - (-9 - (-28 - -14))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1817\/4888 + 2\/611. Which is the second smallest value? (a) -11\/5 (b) 5 (c) g (d) 0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 278, 322, -14, -928, -2618?\n\"Answer: -33*f**3 + 8*f**2 + 251*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-6)\/(-4))*2. Let x(s) = s - 1. Let c(p) = -85 + 41 + 37 + 5*p + p**2. Let v(i) = -c(i) + 2*x(i). What is v(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0.04, 4, 516.4 in descending order.\nAnswer: 516.4, 4, 3\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b - 0*b. Suppose 4*q - 3 = b*q. Solve 0 = -5*c - 3*m + 24, -c - 3*c + 3*m + q = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38367656 divided by -6.\nAnswer: -19183828\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 655*g + 605*g + 792 - 388 + 2237*g - 403 to p*g + l and give p.\nAnswer: 3497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 + 14*n)*(0 - 2*n + 0).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = t - 4*g, -5*g = -116*t + 114*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 63. Let w be q(7). Solve -4*m = -w + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9900083 + -0.99. What is s rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*r - 3 + 6, -2*r + 10 = 4*u. Solve -u*t + 0 + 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036353811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40)*4)\/((-6)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 26\/(-12) + 9\/54 + 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101400469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1813*q = -1814*q + 2. What is the smallest common multiple of q and 9146?\nAnswer: 9146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 996 + -991. What is the second derivative of -307*q**c + q**3 - 6297*q + 2 - 1 + 6269*q wrt q?\nAnswer: -6140*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 + 21*f**3 + 2 + 10*f**3. Is m(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:11 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 2. Let c be x(0). Suppose 5*p - 14 = 3*w, -p + 18 = c*p + 3*w. Is 16 a factor of ((-57)\/(-6) + p)*(-20)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18370 by -22.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, -2, -2471 in ascending order.\nAnswer: -2471, -2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -72\nAnswer: -5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*c - 10 + 5 - 27*c)*(-5*c - 2*c + 2*c) to n*c**2 + o*c + s and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.2, 3\/4 in decreasing order.\nAnswer: 9, 3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -691909\/5 in 2, 0.1, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p + 4*p**2 - 23*p - 6*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -x. Suppose h - 4 = -v, 20 = 5*v - x*v. Suppose -a + 247 - 102 = h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 21*r + 34. Let q be j(-15). What is the units digit of 42\/16 - 21\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 2. Let m(z) = -3*z - 11. Let i be 2\/13 + (-67)\/13. Let c be m(i). Let q = 571 + -566. Let p(d) = -d**2 - 2. Determine c*x(o) + q*p(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 27*f - 941. Let m be u(35). Solve -y + 4*k = -4, y - 3*k = -6*k + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 6*z - 19*z**2)*(-6*z**3 + 10*z**3 + 0*z**3).\nAnswer: -76*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/14*143\/(-40755)*-95?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 27*c**2 + 2*c + 41. Give q(-27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 543, 3 in descending order.\nAnswer: 543, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066685 is divided by 3796.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367 (base 10) in base 15?\nAnswer: ee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11878608 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3453884 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7170 and 12650.\nAnswer: 9070050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(33) + -2*sqrt(33))\/sqrt(3)) + (sqrt(28)\/sqrt(4) + -3 + sqrt(847)*-1 + sqrt(847))**2 + 1.\nAnswer: -7*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/285)\/(12*(-115)\/41400).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -375156 divided by -4\nAnswer: 93789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 26851 divided by 5\nAnswer: 26851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 429871612 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m**2 - 5472*m = 0. Calculate m.\nAnswer: 0, 1368\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, k: 4, n: 4}. Give prob of sequence kn.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -6a?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -10.4. Let y = -0.6 - l. Which is the nearest to 0.1? (a) -2 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2524 or 2521?\nAnswer: 2521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2934 + -0.0066. Which is the closest to 1? (a) 1\/5 (b) g (c) -0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 0.2. Let b = -1.27 - -1.3. Let r = g - b. Round r to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 13 = 3*f - d, 3*f + 5*d = 26. What is the closest to -1\/2 in f, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138930805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/2 + 37*a**3\/2 - 309*a**2\/2 - 2237*a\/2 - 946 = 0. Calculate a.\nAnswer: -43, -4, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2144538, -4289115, -6433692, -8578269, -10722846?\nAnswer: -12867423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*h**2*x**3 - 63*h**2*x - 157379*h*x**3 + 2*h*x**2 wrt h.\nAnswer: 28*x**3 - 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -107. List the prime factors of o\/40 + (-3 - 6951\/(-15)).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559008833 to the power of 1\/2, to the nearest integer?\nAnswer: 23643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17690)\/5307)\/((-2)\/(-12)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 + 23)*2\/2. Suppose -2*s - 4 = 0, -s = t*l - 2*s - 12226. Suppose -l = -4*v + 4*y, 0 = -3*v + 2*y - 5*y + 2322. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 3*r**2 - 256*r - 18. Let h(o) = -20*o**3 - 16*o**2 + 1280*o + 96. What is -3*h(n) - 16*j(n)?\nAnswer: -4*n**3 + 256*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 9*y = -4*r, 2*y - 2*r = 0. Let v(d) = 12352*d + 0 + y - 12350*d. Determine v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 14 - 5) + -48.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-168) + 22\/12. Suppose 4*a - 65 = -3*v + 53, m*a - 2*v - 66 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 194*y**3 + 2*y**2 - 8*y - 43. Is t(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*h - 16*h - 68*h - 1821)*(-2*h**2 + 2*h**2 - h**2).\nAnswer: 3*h**3 + 1821*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 9*m**2 - 5*m - 13. Let b be i(-9). Suppose b + 58 = 5*p. Let r = -7 + 14. What is the remainder when p is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-303)\/(-27))\/(((-809)\/8899)\/(((-6)\/11)\/(-2)))?\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 34 = -y - 2*y, 3*f - 3*y = -42. Let i = -16 - f. Suppose 20 + 85 = i*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -115, 2, 270, -4 in increasing order.\nAnswer: -115, -4, 2, 3, 18, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44606329?\nAnswer: 271, 164599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -164 less than or equal to -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 49*z**2 + 420*z - 3921. Determine g(41).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261112 + -71135. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*(-15)\/2. Suppose -11 = -d*a + 2*l, l + 10 = 4*a - l. Suppose -g + 12 = -4*o, -32*o + 2*g - 12 = -36*o. Sort 15, a, o in descending order.\nAnswer: 15, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.58987?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 57 = -82 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4062152 (base 7) to base 14.\nAnswer: c9062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1112 + 0?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 - 37*w**3 - 98*w**2 wrt w?\nAnswer: 120*w**3 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*l = -284*l + 27326 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 1401002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3674\/(-2338)*(-14)\/(-77).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + t + 20. Let i be w(-4). Let o be (2 - i) + (6 - -6) + 130. Calculate the greatest common divisor of 648 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68832775*m**3 + 281214*m**2 + 2*m - 13.\nAnswer: -412996650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*k**3 - 2*a*k + 7299923*a - k**3 - 2373129 wrt a.\nAnswer: -2*k**3 - 2*k + 7299923","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 8*d**2 + 7*d + 9. Determine s(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 122022222020002001?\nAnswer: -122022222020001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 7*b + 7*b = -110 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 5*s**6\/6 + 5*s**5 + 15*s**4\/2 - 20*s**3\/3 - 20*s**2 - 3854. Suppose n(t) = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048134 to the power of 1\/2, to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = q - 0*l - 773, -3*q - 4*l + 2269 = 0. Suppose 0 = 33*u - 557 - q. Calculate the remainder when 239 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*p + 156441*m**3 + 378*m*p**3 - 45*p**2 wrt p.\nAnswer: 3*m**3 + 1134*m*p**2 - 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-4)\/(8\/(-6)). Suppose -i - x*u = 2*u - 26, 4*u + 4 = 4*i. Is -1\/2 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200454242?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22920809?\nAnswer: 97, 236297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaiaiiiiiiiiiiaiiaii. What is prob of sequence aii?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -184, -220, -256, -292, -328?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.076977 and -6.4.\nAnswer: 64.4926528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 3 + 3*k + 5. Let p be j(1). Suppose p = 2*m - 41 + 9. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/30 - 2*j**2. Let o(m) = 36938*m**2 - 18481*m**2 - 18477*m**2. Determine o(y(t)).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 1 + 6*k**3 - 3*k - 5*k**3. Let g be x(-2). Let z(b) = 6*b**2 - 2*b**3 + 2*b + 3*b**3 + b - 5. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152864*c**4 + 347201*c**2 wrt c?\nAnswer: 3668736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urjjlfc. Give prob of picking 1 l, 1 f, 1 u, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 22*c + 11*c + 9*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50cc - 1c3d?\nAnswer: 338e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*g**3*s**3 - 15455*g**3*s**2 + 55*s**4 wrt s.\nAnswer: -132*g**3 + 1320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let p(q) = 25*q**2 + 4*q - 4. Let v(z) = 49*z**2 + 7*z - 7. Let t(b) = -7*p(b) + 4*v(b). Give t(g(o)).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -274. What is the greatest common divisor of y and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 divided by -11.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (2 + (-11)\/2) and -43\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/76*(2 - 2). Solve 16*c - 25 + 73 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by ((-30)\/(-7))\/5*-7*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3181, 2826, 2469, 2110?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17714?\nAnswer: 2, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*-1*1*-3. Let v(r) = r**3 - 10*r**2 - 25*r + 6. Let x be v(12). Which is the second smallest value? (a) 0.2 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r + 221*r + 137*r + 28.\nAnswer: 397*r + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123130240447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((15\/(-9) + 0)*-3). Which is the nearest to 0.05? (a) 0 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:10 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*g**2 - 49*g.\nAnswer: -g*(g + 245)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 7*y - 5. Let f(x) be the second derivative of x**4\/2 - 10*x**3\/3 + 7*x**2 - 9*x. What is -17*c(q) - 6*f(q)?\nAnswer: -2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6262704526 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 - 14 - s + 10 - 4*s**3 - 7*s**2. Let x be c(-7). What is the first derivative of 0*g**2 - 4*g**2 + x + 1 - 5 wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 - 2*w + 6. Is 18 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 70.9536. Let q = j + 0.047. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n - 25*n - 17*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 - 58697\/6. Let v = 97751\/10 + j. Find the common denominator of 26\/3 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from {l: 7, c: 3, t: 6, a: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20a6 - -4?\nAnswer: 20aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018466417.\nAnswer: 7, 574066631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 - (3 + -4 + -1). Suppose -29*f + 26*f + 9 = q. Suppose 4*s = -f + 31. Solve -t = -0*i + 2*i - s, 5 = i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*v - 154 + 154)*(83*v**2 + 2*v**3 - 83*v**2 + (-2*v + 4*v + 0*v)*(-5 + 5 - 2*v**2)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 3*b - 2 = -4*v + 3, y*b - 5 = -v. Suppose 24 = -w + b*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4664 + -4400. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (-10 + (2 - 12) - -15)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, q: 2, j: 1, a: 2, s: 1, l: 4}. Give prob of sequence jll.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*g + 244, 22*g - 18*g - 74 = -p. Calculate the remainder when p is divided by 96.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2443110 and 1860?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 5*y. Let j(t) = -t**2 - t. Let p(c) = -h(c) - 5*j(c). Let f(r) = -34*r. Let o(z) = 5*z. Let l(w) = 5*f(w) + 35*o(w). What is l(p(m))?\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 1\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -18*s - 120. Determine n(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 211 = 4*p, 4*c + 305*p - 340 = 307*p. Solve -53*i + c - 187 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 2108133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**4)\/l)\/l*l*(l\/(l*l\/l**(-2)*l))\/l)**(-3\/16)*(l**(-3\/4)\/((((l**(-1)*l)\/l*l)\/l)\/l))\/(l**1)**(14\/11) assuming l is positive.\nAnswer: l**(29\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124573724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 70.2 and -0.199.\nAnswer: -13.9698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -7444 (c) 1166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:05 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 2. Let t be p(7). Solve -4*c = -t*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:56 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14025 and 44319.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 divided by -197?\nAnswer: -491\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17092693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(15\/6 + 3). Solve 4*m + m + j = -t, t + 6 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3332 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Suppose 2*p - 5*t = 1 - 7, 3*p - 11*t = -16. Let c(h) be the first derivative of 0*h - 29\/2*h**p - 6. What is c(a(r))?\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*w - 34 = -w, -32 = -2*b - 3*w. Solve b*i - 10 = 5*i, 5*i = q + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5241425 (base 7) in base 11?\nAnswer: 3a1935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 65471028.3 to the nearest 100000.\nAnswer: 65500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-2366)*7*(-2)\/(-8).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3034 + -1026?\nAnswer: -4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**3 + 3*x**2 - 15*x - 35. What is the smallest common multiple of 938 and k(-2)?\nAnswer: 15946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652468667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 27.2. Let n = p - 5. Suppose 1 = x - 3. Which is the closest to -1? (a) n (b) x (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -3.94. Let g = 0.5 + -0.34. Let h = g + x. What is the second smallest value in -2, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-92)\/(-16) + 4\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssiis.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 51. Suppose -5*y - w = y. Sort -3, y, 1 in decreasing order.\nAnswer: 1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1240805912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1324704.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3087147*z**2 - 19831*z + 10?\nAnswer: -6174294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 = -r + 6*r - 2*l, 5*r + l - 555 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(8\/(-2)) - -1. Suppose -4*q = 0, -4*l + 40 = -k*l - 2*q. Solve 5*n + 2*a + 6 - 21 = 0, -n + a = -l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, q: 9, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -530 - -b10?\nAnswer: 5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*j = -2*z - 14, -3*j = -3*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*q**4 + 36092*q**3 + 3*q**2 + 28049268*q + 2.\nAnswer: 276*q**2 + 216552*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31086 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (16577\/(-6028))\/((-8)\/20*(-5)\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let i(d) = 2*d - 1699413 - 2*d**2 + 5*d**2 + 1699335. Give j(i(w)).\nAnswer: 6*w**2 + 4*w - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3373 + -4?\nAnswer: 3367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -56 + 27 + (3 - (8 + -1)) - -29?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3 + 3 + 0*n - n + 3*n + (8873 + 1795*n + 8877 - 17750)*(0 + 6 - 4).\nAnswer: 3595*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:06 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:04 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -269313 or -269315?\nAnswer: -269315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 2*l + 87 + 7*l + l + 9*l - 7*l. Let h be n(-6). Solve 0*j = 3*m - 3*j - 3, h*j + 5 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1123230 (base 5) to base 10\nAnswer: -20440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 24*a**2 + 27*a - 15. Does 4 divide c(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -15 - 3*o - 14 + 27 - o**2. Let d(m) = 3*m**2 + 10*m + 6. Give -2*d(l) - 7*w(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*i**4 + 70*i?\nAnswer: -1392*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-143)*2\/(-21)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31203890147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 + p + 2. Does 5 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/36 + 1\/4. Suppose 60 = f + 2*f. Suppose 5*s = 5*v + 25, -4*s = -s + 4*v + f. Which is greater: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + z = -3*z + 20, 0 = u + 4*z - 14. Let w = -2904 + 2899. What is the second smallest value in 1\/4, w, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 4.89. Let j(s) = s**3 + 4*s**2 - 11*s + 2. Let u be j(2). Which is the smallest value? (a) -2 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272764\/222 + 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19466445?\nAnswer: 3, 5, 17, 97, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 33*l - 938 - 574. Calculate the remainder when l is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 61 = 17. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 355*o**2. Let w(c) = 12506*c. Calculate v(w(j)).\nAnswer: 55522012780*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 2\/15, 9\/7, 0 in descending order.\nAnswer: 9\/7, 0.2, 2\/15, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 2 o when four letters picked without replacement from cctcpootcpp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15437664 divided by 4.\nAnswer: -3859416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367724\/9 + -40858. Let n be (-2)\/(-6) - 177\/585. Which is the third biggest value? (a) h (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3535 + -74239\/21. Which is the second biggest value? (a) 5 (b) -2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + u)*(-2*u**2 - 10*u + 10*u) + (u**2 + 3*u**2 - 5*u**2)*(-11*u + 18*u + 8*u) + 3*u**3 - 3*u**3 - 3*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 3, -25 in decreasing order.\nAnswer: 21, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1591 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 42 = -12. Let b be 24\/10*(0\/(-3) + j). Let y(r) = r**3 - 11*r**2 - 7*r + 3. Is 41 a factor of y(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001217750679 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 5 = 2*a + 28 + 7, -4*b + 4*a = 172 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 42.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.9 (c) -3\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215377?\nAnswer: 37, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1963544157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -0. Suppose -3*z + m*z = 4. Let b = -248 - -260. Solve -h + 7*g = 4*g + b, -3*h + 16 = z*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41682*k**3 + 41697*k**3 - 125010*k**3 + 41673*k**3.\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 2*w - w + w + 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/352 and -145\/12306822.\nAnswer: 196909152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*m*y**2*z - 4*m*y**2 - 4*m*z + 24*m wrt y.\nAnswer: -40*m*y*z - 8*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102) - -1*-1*sqrt(102)))) - sqrt(102))*-6*-5)\/(5*(-3*sqrt(216)*-1 - sqrt(216))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 47 = -4*g. Suppose 0 = -g*w + 15*w + 800. Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1*-5 - (sqrt(272)*1)**2.\nAnswer: -272 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24211 (base 6) to base 7.\nAnswer: 13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 568\/663 - 42\/221. Solve v - 2\/9*t**2 - 4\/9*t = 0 for t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-1)\/3). Let x be (-3 - 0)*5\/15. Let w be l*(x - -1)*1. Is 3\/7 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1005 by 3.\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1452888 by -6.\nAnswer: 242148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 2*w + 18. Put w, -3, -0.3 in decreasing order.\nAnswer: -0.3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 10*y + 20. What is c(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**8\/1008 + 2*m**7\/315 + 13*m**6\/120 + 29*m**5\/90 - 7*m**4\/18 - 4*m**3 - m**2 - 15*m. Let k(v) = 0. Calculate v.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25898 - 25898.5. What is the fourth biggest value in 3.1, n, -32, 0.5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1928*p**2 + 2*p + 3039. Let v(h) = 1889*h**2 - 3*h - 3040. Let r(j) = -3*l(j) - 2*v(j). Differentiate r(z) wrt z.\nAnswer: 4012*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*h**4)*(-3*h - 3*h - 3*h) + (2*h**4 + h**4 - 2*h**4)*(-2*h + 3*h + 0*h).\nAnswer: -35*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62798 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2732568?\nAnswer: 2, 3, 41, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3*m**5\/20 + 2*m**2 + 11*m. Find the first derivative of o(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77565493?\nAnswer: 73, 131, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/3 or 17?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1032 + 1868. Suppose -7*c = 4*c - 9240. Suppose -5*m + 5*v = -c, 5*m - 6*v + 2*v - j = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120 - 5) + (-581 - -646)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-104)\/12 + 4)*-3. What is the highest common divisor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46424 divided by 2?\nAnswer: -23212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 17160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 - 1) - 58\/(-3045)*-42.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/990 and 47\/726.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2348, 2359, 2370, 2381?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 90*q**2 - 20 - 91*q**2 + 56 - 20.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -8 - 19) + 7 + 4 + 65?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaaiiaaiii. Give prob of sequence ai.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38746\/2501 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 56.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*y + 15, 3*s = 5*y + 9 - 0. Solve 5*u + 5 = 0, 0 = 4*r - r + s*u - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*k - 29, t + 3*k = -4*t + 20. Let q be (5 - 4)\/(1\/t). Solve q = 4*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let r = 4 + v. Let f = -2 - r. Which is the smallest value? (a) -0.4 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-18)*4\/3. Suppose 3*s - 5 = -v, 5*s + 55 = l*v + 2*s. Suppose 5*p + 5*t = 14282 + 12928, -4*t + v = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**2 + 2819*x - 9423 = 0. Calculate x.\nAnswer: 27\/8, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300*c*n**3 + 171*c*n**2 - 2*c + 48*n - 33 wrt n?\nAnswer: -1800*c*n + 342*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 462 = 4*c - 562, -q = -4. What is the remainder when c is divided by (-408 - 10)\/(-11) - (-3*6)\/(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dktdujk. Give prob of sequence tjuk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 644*f - 13 with respect to f.\nAnswer: 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 6 (c) -2\/569 (d) -0.5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r. Let w(l) be the first derivative of -1 + 4*l**2 - 3*l**2 + 6. What is w(j(f))?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 != 7158\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - w + 0*w = -6, y - 3*w = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -10701.\nAnswer: -10708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -4*x + 60, -5*x - 4*j + 120 = 0. Let m(k) = 23*k - 21. Let c be m(7). What is the greatest common factor of c and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 986428, 986421, 986414, 986407?\n\"Answer: -7*n + 986435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 31. Suppose b*t = -11 + 15. Suppose -4*o - 5*p - 9 = 0, 3*o + 2*p - 5 = -3. Solve 3*r + o*u = -35, -2*r - t*u = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 93*o**3 - 3*o**2 + 3*o - 3. Let j be q(3). Let l = -1429 + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.52, -2\/3715, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcsaajjcca. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 533, -3 in decreasing order.\nAnswer: 533, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14587637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1*(-6)\/(-3). Suppose -3*i = -8*i + 50. Suppose i*l = 6*l + 20. Solve 0 = -2*f - f + 3*s + 6, l*f - 19 = u*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:27 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 36, 117, 260, 483, 804, 1241, 1812?\n\"Answer: 3*s**3 + 4*s**2 + 4*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-282)\/36 - -8)\/((-1)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 - 92. Suppose 3*l + 5*d - b = 1, 4*l - 2*d - 62 = 0. Suppose 0 = -l*y + 19*y - 51. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {n: 4, j: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 580*t**2 + 248*t**2 + 45*t**2 + 150 + 5*t**2.\nAnswer: 878*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304243914 to the nearest integer?\nAnswer: 17443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = 1 - 1. Suppose 0*t + t - 3 = r, 0 = -3*v - 2*t + 24. Solve 0 = 2*j - u - v, 5*u = -3*j + 6*j - 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517*-4.\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 1716*r - 97754. Give g(59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 900 - 831.1. Let p = a - 67.8. Sort -2\/15, p, 0.1 in descending order.\nAnswer: p, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c + 13. What are the prime factors of w(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccccccccacaaccccca.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.29811ml in litres?\nAnswer: 0.02629811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*o - 27, -v + 11 = o + 3. What is the second derivative of 15 - v*z**2 + z + 9*z**2 + 34 + 2*z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (-16 - -8) + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 1 (b) 3 (c) -1 (d) 0 (e) 696 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111010222 + 3?\nAnswer: -111010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1953067 micrometers to centimeters.\nAnswer: 0.00001953067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.152, 2\/13, 1\/2, -0.07, -2?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 4 + 4)*(3 - 3 + 2*o)*(62 - 124 - 142).\nAnswer: 1224*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 25*b - 110 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252) + 3 + (sqrt(252) + -1)*-4)**2.\nAnswer: -216*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 301*t - 2683. Let p be r(9). Solve -7*d - 6*d - p = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/80 - k**4\/12 - k**3\/6 + 14*k. Factor n(t).\nAnswer: -t*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*z = 62230 - 59710 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -232, -249, -266, -283?\n\"Answer: -17*u - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 3. Suppose 9 = -a + 3*r, 3*a + 5*r + 0 = -83. Let h = a - -18. Determine s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3783707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p. Let h(l) = -3*l. Let c(w) = w. Let b(i) = 12*c(i) + 5*h(i). Give g(b(s)).\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1661*u**6\/5 - u**4\/3 + 29*u**3\/3 + u**2\/2 + 9629*u. What is the third derivative of x(b) wrt b?\nAnswer: 239184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -4) + 18 + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -47 (c) -77 (d) 3\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*s + 12 = 0, 154*s = -8*i + 156*s - 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 18*g - 16. Let w be j(1). Suppose -521 - o**w - 3*o + 521 + o**4 + 3*o**3 = 0. What is o?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 + 1410293*a**2 - 5621741*a?\nAnswer: -6*a + 2820586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*-2*(1*sqrt(425)*-6 - sqrt(425)))**2.\nAnswer: 1332798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1019016*c**2. Let q(t) = 3*t. What is p(q(g))?\nAnswer: 9171144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*(-57)\/2. Let a = -17 - g. Suppose w = 4*z - 85, a*z - 88 = -2*z + 4*w. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 740, 1, 45 in decreasing order.\nAnswer: 740, 45, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.05 - -0.86. Let p = t + 2.5. Let i = 0.11 - p. What is the second biggest value in -2, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 + 2*c - 6. Let i be (-2)\/6 - (-51)\/(-9). Let b = 12 + i. Let f be u(b). Solve 5*n + f = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.25 * 0.3\nAnswer: 1.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 515a486 (base 11) to base 8\nAnswer: 42571035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -8*a**2 + 0*a**3 + 0 + 0*a + 1\/60*a**5 - 7\/24*a**4. Calculate n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-8)\/(-80)). Find the third derivative of 2*y**n - 21*y + y**2 + 21*y wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 7, r: 2, o: 2}. What is prob of picking 2 r and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3862 + 6078. Let t = h + -1334. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o. Suppose -4*b - 2*y = -y - 65, -2*b - 2*y + 34 = o. Let p(n) = 5*n**2 + 3*n - 3. Let r(x) = -26*x**2 - 16*x + 16. Calculate b*p(m) + 3*r(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 45*j**3 + j**2. Suppose 2*q - q - 16 = 0. What is the remainder when o(1) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12831\/78 + -165 + 5\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (sqrt(891) - (2 + -1*sqrt(891)))**2)*-2.\nAnswer: -7136 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -13 + (-14 - (22 - 41))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.19 less than 1.54?\nAnswer: 3.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.09109 + -36.091073. Let j = -14 - t. Round j to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 6*i + 14600000. What is i rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2901397 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95105, 95125, 95147, 95171?\nAnswer: 95197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15106.13 and -44494.\nAnswer: -29387.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/14)\/1 + (-2442)\/21. Which is smaller: o or -115?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -51, 3, -37, 19, -5 in decreasing order.\nAnswer: 19, 3, -3, -5, -37, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 7. Let r(y) = -1380*y - 1764. Calculate -504*p(n) + 2*r(n).\nAnswer: -2256*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/85)\/(297\/90)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4*l - 3. Let g(i) = i**2 - 4*i - 2. Let z(j) = -3*g(j) + 2*n(j). Let u be z(4). Let d be (2 - 5) + 50 + -45. Are u and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/5)\/(s\/(s*s**(2\/31)\/s)))\/(s**(-4)*s*s)**(6\/17))**(1\/2) assuming s is positive.\nAnswer: s**(2557\/5270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1053200 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1123 or -1139?\nAnswer: -1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 332 (c) 0 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2463192864952883\/416790 + -88648703141\/15. Let t = i - 4\/4631. Find the common denominator of t and 68\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/32*12\/(-27). Let c(j) = j + 3. Let t be c(-3). Factor -1\/3*o**5 + 0*o + t*o**4 + 0*o**2 + w*o**3 + 0.\nAnswer: -o**3*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnsstgnoonnssntn. Give prob of picking 2 n and 1 t.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 30940?\nAnswer: 30940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.588 and 4617.\nAnswer: 11948.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 232 from -0.002.\nAnswer: -232.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28998.066 months to decades.\nAnswer: 241.65055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -23*x + 6*x**2 - 3*x**2 + 27*x. Let b be l(3). Let a = b - 27. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10 + 19 - 14 - -554 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(4455) + (-5*sqrt(4455) + sqrt(4455) - sqrt(4455)))*6)\/(6*sqrt(22)\/(sqrt(8)\/sqrt(4)))*1)**2.\nAnswer: 6479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 s when four letters picked without replacement from yuoyszsz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2)*(0 + 0 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 685 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 24.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -982bd0 (base 14) to base 7\nAnswer: -61551550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, 0, -4 in descending order.\nAnswer: 0, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/40 + (-5)\/(-40). Which is the closest to -2? (a) j (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, z: 3, p: 2, t: 3, u: 3}. Give prob of picking 2 p and 1 x.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -428168*w - 590683?\nAnswer: -428168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -8\/691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y + 5. Let z be 2\/(-7) + (-88)\/(-14). Let a be y\/((10\/z)\/(-5)). Let g(s) = -2*s**2 + 3*s + 4. Determine g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.5? (a) 0.1 (b) -0.32 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/7 + 142032*r**2\/7.\nAnswer: -4*r**2*(r - 35508)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 9, -1, -4, 20, 5 in increasing order.\nAnswer: -110, -4, -1, 5, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -442 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Solve v*i - 4 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vexnxxxvvn. Give prob of sequence nven.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 104*i**3 - 4*i**2 - 4*i + 2. Let j(c) = 52*c**3 - 2*c**2 - 2*c + 1. What is -7*j(n) + 4*p(n)?\nAnswer: 52*n**3 - 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + 15*q. Let d(g) = 8*g**2 + 16*g. What is 5*d(n) - 6*v(n)?\nAnswer: -2*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:31 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6944*p - 83058. Determine l(12).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24786 and 252594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:05 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - -166*(-6 + 7)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvr when three letters picked without replacement from {v: 2, p: 3, r: 2, z: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13\/7*p - 36\/7 - 1\/7*p**2 = 0. Calculate p.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 11. Let t be m(4). Let o = 14 - -17. What is the remainder when o is divided by 16\/t*7\/((-14)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301 - -304. Let s = -21 - -19. Sort s, n, 0.1, -7\/2 in increasing order.\nAnswer: -7\/2, s, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 11 - 12)*(-4 - 1 + 6)*(2*a + 2 - 3 + 6) to i + c*a and give i.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5 - 1 - 12 - 5 - d.\nAnswer: -d - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5247 - 10497 - 5*i + 5248. Let r(p) = -p**2 - 9*p - 13. Let v be r(-7). Determine d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2 - 13*h**3 + 4*h**3 + 28*h**2 wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525048817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:37 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 70*s + 2056. Calculate h(-22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 65 + i + 15*i - 41.\nAnswer: 10*i - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 52 = -2*d, -3*w + 2*d - 5*d + 9708 - 9624 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + -107. Solve 0 = -3*v + 5 + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -46, -25.79?\nAnswer: -25.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1080696 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 8. Let f be h(5). Suppose 17 = -2*y - 3*x, -5*x = -f*y - x + 17. What is the closest to y in 2, 5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.9946 meters in kilometers?\nAnswer: 0.1359946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34286621, -68573236, -102859851, -137146466, -171433081, -205719696?\nAnswer: -240006311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drdradnaxnanyda. Give prob of picking 2 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 95050241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + b - 6*b - 31 = 0, 3*a + 5*b - 153 = 0. Let p = 102 - a. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*p = 510*p + 2100 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l + 2. Let b be o(0). Let z(k) = k**3 + 4*k**2 - 6. Let v be z(-4). Let s be ((-1)\/v)\/(3 + 69\/(-24)). Is s >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2898*m**2 + 21*m. Let b(v) = 1240*v**2. Calculate j(b(y)).\nAnswer: -4455964800*y**4 + 26040*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/16 + 1135*r**3\/12 + 322623*r**2\/8 + 321489*r\/4 + 5014. Factor i(v).\nAnswer: (v + 1)*(v + 567)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5357 divide 379589712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 3*w**2 - 36*w + 2. Let f be z(9). Factor -10*n + f - 6*n - 146 + n + 3*n**2.\nAnswer: 3*(n - 3)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1200*c**5 - c**4\/24 + c**3\/6 - 6*c**2. Let z be h(1). Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 2, e: 2, h: 4, v: 2}. What is prob of sequence ev?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-six fifths of a microsecond?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/59 in -2, 0.5, 1, 7092?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-2 - 1) + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*-21*(-8)\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148.05 - 50920.17.\nAnswer: -50772.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 357717 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30525296 to the nearest integer?\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + (-341)\/22)\/((-1)\/((-5)\/10)). Let u = -19 - -39\/2. Sort 2\/11, l, u, -2 in decreasing order.\nAnswer: u, l, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 9*y + 2. Calculate the smallest common multiple of d(-10) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1126 - 647. What are the prime factors of b?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 9*m**2 - 12*m - 16. Suppose 9 = -2*b + 3*f - 23, 26 = -b + 4*f. What is r(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19\/4 of a second?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 0*g + 4*g)*(0*g + 0*g - g) - 5*g - 126*g + 571*g**2 - 568*g**2.\nAnswer: 4*g**2 - 131*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 24 + 36. Let g = w - 18. Suppose -g = -t + 4. Calculate the remainder when 17 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -99. Let z(y) = -2 + 17*y - 7 - 7*y + p. Suppose 5*x = -4*n - 0 - 39, -2*x + 2*n = 12. Let m(g) = -3*g + 2. Determine x*m(f) - 2*z(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 + 24*q**4 + 36*q**3 + 16*q**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -7 + 12. Let q(i) = -4*i**3 + 4*i + 5. Let m be q(b). Solve -7*j - m = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28028 divided by -572.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*s, -s + 3*s = -2*w + 1588. Suppose -7*d + 1095 + w = 0. Calculate the highest common divisor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.29 + 0.29. Let t = 18 - 26. Let j = t - g. What is the smallest value in -12, j, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.21? (a) -1\/26 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 11?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)*(-416)\/(-2). Let t = -166 - i. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*w = 14, -22 = 2207*p - 2205*p - 4*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 40 - 11 + 9*x)*(0 + 0 - 1).\nAnswer: -9*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*a = 106*a - 1116. Solve -5*m - 38 = 2*c - 22, 0 = -a*m + c - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4, 5, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-416)\/(-40) - 4\/10. What is the units digit of ((-195)\/p)\/(6\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3041 divided by 5045.\nAnswer: 3041\/5045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3797 by -10.\nAnswer: -3797\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**4 - 10*v**3 + 5*v**2 - 5*v. Let b(s) = s**5 + 4*s**4 - 11*s**3 + 6*s**2 - 6*s. Let w(f) = -5*b(f) + 6*h(f). Factor w(i).\nAnswer: -5*i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 + 6*a**3 + a**3 + a to the form d*a**2 + c*a + x + g*a**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1802, -4, 33 in ascending order.\nAnswer: -4, 1, 33, 1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let s be w(-3). What is the third derivative of 3*p**s + 3*p**6 - p**6 - 3*p**6 - 3*p**6 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 273.683025 minutes?\nAnswer: 0.02715109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d**2 + d**2)*(94 - 94 - 10*d) + 2*d**3 - 6*d**3 + 0*d**3 + (-2 + 2 - 2*d)*(-3*d**2 + 0*d**2 + 5*d**2) - d**3 - 4*d**3 + 3*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 432, 1, 0, 138, -4.\nAnswer: -4, 0, 1, 138, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9936 and 3312?\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72145 is divided by 218?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*z**3 - 2207*f*z**2 - 36066*z**3 with respect to f.\nAnswer: 4*z**3 - 2207*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -258*l + 172. What is the lowest common multiple of s(-3) and 172?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119321, 477299, 1073929, 1909211, 2983145?\n\"Answer: 119326*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -16*c**2 + 0*c + 0*c**3 + 0 - 5\/24*c**4. Let z(k) = -k + 0*k - k. Calculate z(g(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*v. Suppose 0 = 4*i - v - 12. Suppose 4*d - 23 = -4*b + b, -2*b - 3*d = -16. What is the lowest common multiple of i and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to -350502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/387600 and 85\/28.\nAnswer: 2713200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -140431043 (base 5) in base 12?\nAnswer: -2a7380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 977 - 979. Let m be (-3)\/(-9)*(-30)\/(-5). What is the second biggest value in m, 0.15, -0.5, w?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 260 (c) 8892\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/3 - 118*s**4\/3 - 1649*s**3\/3 - 6982*s**2\/3 - 11996*s\/3 - 7336\/3 = 0.\nAnswer: -7, -2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200907 and 378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -448, -2470, -7942, -18586, -36124?\n\"Answer: -287*v**3 - 3*v**2 - 4*v - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**3 - 3*z + 2 - 6*z**3 + 3*z**2 + 5*z**3 - 4*z**3. Let q be v(2). Suppose q*s - 4*s + 16 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.47*-0.184.\nAnswer: -7.44648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + (-45)\/(-39). Let x = -1.9 - -0.9. Which is the second smallest value? (a) y (b) -1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-667 - 2*j - 496 + 847)*(-2*j**3 + 4*j**3 + 0*j**3).\nAnswer: -4*j**4 - 632*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1837353780 to the nearest one million.\nAnswer: -1837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 935603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 18*d + 24. Solve 3*c + d = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3847 - 3453. Calculate the remainder when a is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 minus -285236039071?\nAnswer: 285236039819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r - r - 5*r)*(1 - 1 + 2)*(75*r**2 - 70*r + 70*r).\nAnswer: -150*r**3 - 450*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 3}. Give prob of sequence nvvn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68728 is divided by 95?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let a(d) = 12*d - 7. Let x(y) be the first derivative of -y**2 - y - 126. Let f(i) = a(i) + 4*x(i). Give p(f(m)).\nAnswer: -16*m**2 + 88*m - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(2 - -1 - 2). Let d be (243\/6)\/(k\/4). Suppose d = 4*c - 58. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386813179\/42147 - 868\/6021. Let a = -9160 + j. Let n = 76\/7 - a. Find the common denominator of n and -68\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842, -897, -988, -1115, -1278?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.915 plus -0.21?\nAnswer: -201.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 3*w + 828 = 0. Let n be ((2 - 2) + -1)*-7. Let b = w + n. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27*z**2 - 6 + 53*z - 90*z + 2 - 40*z**2. Let p(g) = 3*g**2 + 9*g + 1. Give -2*j(l) - 9*p(l).\nAnswer: -l**2 - 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1377.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j - 5*x + 20, 0 = -3*j + 2*x - 7. Let w(b) = -b - 2. Let a be w(-1). Put a, j, -5 in increasing order.\nAnswer: -5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467054?\nAnswer: 2, 7, 73, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/17 + 47\/34. Which is the biggest value? (a) -0.03 (b) r (c) 2\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (3 - 1) - (-93)\/18. Let y(s) be the second derivative of -7*s - j*s**3 + 0 - 7\/2*s**2 + 1\/12*s**4. What is y(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:11 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 67*v**3 - 39*v**3)*(-3 + 0 - 2) - 2*v**3 + 2*v - 2*v + (-1 + 3 + 3)*(-v**2 + v**3 + v**2) + v**3 + 0*v**3 + v**3.\nAnswer: 520*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l + 54*l + 234 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-3676)\/(-1830))\/((-24)\/520). Let v = 2\/61 - b. Factor 0 + v*i**5 + 2\/3*i**3 + 0*i - 2\/3*i**4 - 2\/9*i**2.\nAnswer: 2*i**2*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -10\/3391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9118 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Let u be 1\/3 - (-40)\/15. Let i be ((-12)\/8 + 1)*-6. Let g(k) = -u + i - 2*k. What is z(g(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - 2*t**2 + 2*t**4 - t**4 + t**2 - t**2 + (4 + 3 - 5)*(4*t**4 - t**4 - t**4) + 2*t**4 + 8*t - 8*t + (-t**3 + t**3 + 2*t**3)*(116 - 116 + 2*t).\nAnswer: 11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**2 - 41*p - 3. Let x(b) = -5*b**2 + 21*b + 2. Let f(h) = -6*w(h) - 11*x(h). Let z be f(-15). Put z, 3, 4 in increasing order.\nAnswer: z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1911 - 1512?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 2. Let g be t(-2). Let o = -2 - g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((361\/(-27))\/(-19)*3)\/(8\/72).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520 + -346. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/2*k**2 - 2*k - 1\/24*k**4 + 56 + 1\/12*k**3. Factor l(v).\nAnswer: -(v - 2)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792) + 3*sqrt(792) - sqrt(44)\/(-2*sqrt(2)))\/(sqrt(360)\/sqrt(5) - sqrt(96)\/sqrt(3)).\nAnswer: 49*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - -13481118.\nAnswer: 13481118.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 1. Is l(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (12*(-16)\/40)\/(24\/(-75520))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p*p\/(p**2*p)*p)\/p)*p*p**(-5)*(p\/(p\/(p\/p**(-1\/15))))\/(p*p*p*p*(p**(-2\/51)*p)\/p*p))**(-3\/7))**(1\/45) assuming p is positive.\nAnswer: p**(167\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 22. Give p(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 72*f + 41*f to c*f + l and give c.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**2 + 0*f**6 + 0*f**3 + 5*f - 11\/12*f**4 + 0 + 0*f**7 + 0*f**5 - 3\/28*f**8. What is the third derivative of m(j) wrt j?\nAnswer: -720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s. Let f be u(-1). Is (171\/(f - 3))\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 less than 1163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*b - 11. Let m(w) = 2 + b*w + 2*w**2 + 2 + w**3 - 11*w. Let o(k) be the first derivative of -k**3\/3 - k + 2. Calculate m(s) + 2*o(s).\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3294867?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 1706, 4237, 7774, 12317, 17866?\nAnswer: 24421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*b = -33, 3*b + 92 + 13 = 3*h. Suppose 5*p + 12 - 247 = m, -5 = m. Calculate the least common multiple of h and p.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4604234 is divided by 13703.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 350181263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.9 + -17.9. Which is the second biggest value? (a) -1\/4 (b) l (c) 0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 10. Let q = 114.53 + -115. Let m = -0.03 + q. What is the second smallest value in -2\/9, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109103*y - 109129*y - 676 = 0 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*f - 22 = -506*f + u, -4*u = 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12414753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 + 17*h. Let q be g(9). Let p be 75\/12 + (-18)\/q. Solve p*l = 12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(48 - 19)\/116\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14731 - 2048 = 465*b + 688*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -3, 0.3, -0.4, 0.39, 2\/5 in decreasing order.\nAnswer: 61, 2\/5, 0.39, 0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5412 is divided by 312?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q = 27*q - 314. Sort -48, -4, q, 4 in decreasing order.\nAnswer: 4, q, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(-6) - ((-1269)\/(-162) - 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 12:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oppoyppopyoyppyyp. Give prob of picking 2 o and 1 p.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137405372 a multiple of 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*h = -h - 66, 5*d = 3*h + 70. Let p = -5 + d. Suppose -f = 2*c - p, -35 = -3*f + 4*c + 11. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344042168 to the power of 1\/2, to the nearest integer?\nAnswer: 18548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o**4 - o**3 - 34*o**2 - 2*o - 880 wrt o.\nAnswer: 120*o**2 - 6*o - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 13 (c) -1\/11 (d) 720\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-19 + (-6 + 14 + -7 - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -4, -6 in descending order.\nAnswer: 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -26630 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99104272 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*g + 19, 4*g - 12 = -2*v - 2*v. Suppose -g*j = 2*i - 10, i + 6 = -4*i + 3*j. Let o = -0.7 + 0.8. Put o, i, -2\/5 in descending order.\nAnswer: o, i, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 40, 57, 80, 109, 144, 185?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2624*d + 224. Let m(u) = 35*u - 3. Calculate 6*a(r) + 448*m(r).\nAnswer: -64*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6418 + -6417. Let k = -0.229 - -0.3. Which is the biggest value? (a) -2\/7 (b) s (c) 1\/4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 - (3*sqrt(99))\/sqrt(9) - ((sqrt(88)\/(sqrt(4) + sqrt(20)\/sqrt(5)))\/((sqrt(40)\/sqrt(2))\/sqrt(10)))**2) + -2.\nAnswer: -15\/4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/13*1*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2005 + -698. Suppose r = 5*k + 107. Factor k*z + 5*z**4 + 5 - 240*z - 10*z**2.\nAnswer: 5*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 883*u + 2 - 3 - 887*u as w + z*u and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 10*y - 7*y + 18, -u + 12 = -4*y. Suppose 460 = -4*l - u*c + 2288, -2*l = -5*c - 928. Is l a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 141*x - 18. Let w be d(6). Let v(o) = 10 + w*o - 3 - 13. Let r be v(-3). What is r rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -122\/3*s**2 - 68*s**3 + 90*s + 24 - 16\/3*s**4 = 0.\nAnswer: -12, -3\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -z + 31, -3*p + z - 46 = -6*p. Let r = p + 44. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66417 - 382989 = -69*w. What are the prime factors of w?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 divided by -187?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*d = -24*d - 10009600. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 6*j)*(8*j - 5*j + 6 - 7).\nAnswer: -9*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**2\/2 + 4*n + 55. Let b(d) = 5*d**2 - 2*d - 1. Let z be b(-1). Let i be y(z). What is the smallest value in -1\/8, -15, i?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358\/3, -4, -0.3, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.3, -4, -358\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319, -1321, -1323, -1325?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let i(s) = -2*s**3 + 5. Let d(t) = t**3 + t**2 + t - 1. Let z(k) = u*d(k) - i(k). Is z(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 5399?\nAnswer: 80985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3466963911 by 3.\nAnswer: 1155654637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:37 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/10317 + -20624\/51585. Which is the biggest value? (a) k (b) 4 (c) 2 (d) 1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*3 - -5*sqrt(17)*-3 - (4*2*sqrt(187))\/(-4*sqrt(33)\/sqrt(3)).\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1444484*k**5 + 11*k**3 + 7*k**2 - 5*k - 274268?\nAnswer: 86669040*k**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147492 + 5?\nAnswer: -147488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/6 - b**2 + b. Suppose 4*u = -23 + 55. Let w be -6 + u + (1 - 7). Determine g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from {f: 2, k: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54621.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3740*p**2 - 3753*p**2 + 7511*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8 + 29925\/11400?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v**3 - 13*v. Let o(h) = -4*h**3 - 3*h. Let b = -10 + 16. Give b*n(r) - 26*o(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 10. Let b be z(0). Let x be ((-7)\/(-2))\/(b\/(-20)). Let i(j) = 2*j**2 + 11*j - 1. Let g be i(x). Is g less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 35*c - 6 + 7 as w*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4352 and 2584000.\nAnswer: 10336000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v*w**4 - 16*v*w**3 - 12251*v - 1020*w**4 - 2*w**3 + 4*w**2 wrt w?\nAnswer: 48*v*w - 96*v - 24480*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y**2 - 290*y - 11. Let n be p(-17). Solve 0 = -32*w + n*w - 78 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 12 + 1 + 27 + y - 69 + y. Let l(q) = -2*q. What is n(l(u))?\nAnswer: -4*u - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**4 + 485*y**3 - 2665*y**2 + 280*y + 1920 = 0 for y.\nAnswer: -3\/4, 1, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.01 (c) 0.3 (d) 0.17 (e) -276\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0*m**2 - 61\/4*m**4 + 0*m**3 + 0*m**5 - 143*m - 17\/2*m**6 + 0. What is the third derivative of j(s) wrt s?\nAnswer: -6120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27551628 - 5?\nAnswer: 27551623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-50*(-28)\/1750)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/9*(1 - 562\/8). Let f(c) = -17*c + 8. Let l be f(-5). Let n = l + u. What is the nearest to n in 0.4, -0.5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(1 + 4*-1). Let y be (2\/6)\/((-4)\/12). Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12335 is divided by 220.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 12. Which is the second smallest value? (a) 0.5 (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3167 (base 10) to base 6.\nAnswer: -22355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -269*m**5\/5 - 34*m - 87. Differentiate i(d) wrt d.\nAnswer: -1076*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let p = -873\/497 + 3\/71. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -3, 18.\nAnswer: -7, -3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 3:38 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 - -935d6?\nAnswer: 93697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/9 - 1258*c\/9 - 140 = 0.\nAnswer: -1, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(4\/5)\/o)\/((o\/(o\/(o*(o\/((o*o\/o**(-1\/3))\/o))\/o))*o*o)\/o)**(-16\/3) assuming o is positive.\nAnswer: o**(-164\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s + 33. Let y be v(9). Let f = 0 - y. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*-1*sqrt(84))\/sqrt(12))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 36028 = 8062. Let z = 21638 + h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-16)*a**(-1\/16)*a**(3\/4)\/a assuming a is positive.\nAnswer: a**(507\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-44))\/(2\/(48\/45)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 20*p**2 + p + 222. What is f(0)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8295 by -105.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 86, 52, 18, -16?\n\"Answer: -34*m + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 165*u**4\/4 + 41*u**3\/6 - 2*u - 51. What is the second derivative of y(t) wrt t?\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 135*d + 1182. Give i(-6).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose 2*r - v*r = 0. Suppose r = -5*i + 6 + 4. Solve i*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 38*w + 197. Let i be s(-5). Calculate the highest common divisor of 45 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*d - 270*d + 512*d - 3 in the form j + b*d and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76773 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 88 = -4*c, 2*x - 5*x + 2*c - 63 = 0 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j = -2*a + 52*j - 3975, -4*j = -3*a + 245 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 77, 3, -19.\nAnswer: -19, 1, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5228, 20925, 47090, 83723, 130824, 188393?\n\"Answer: 5234*c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*l**3 + 30*l**3 + 13*l**3 + (-1 + 6 - 3)*(-2*l**3 + 3*l**3 + l**3) to the form j*l + b*l**2 + i*l**3 + r and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 + 14*g + 31. Calculate o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1711 - 2*v**2 + 2747 - 4458.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 430780 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/(368\/322).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 35*v**3 - v**2 - 6*v + 16. Let m be b(2). What are the prime factors of ((-147)\/14)\/((-12)\/m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1497 - 1499. Put 3, 5, w, 0.3 in descending order.\nAnswer: 5, 3, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a = -10015 - 4916 + 6245 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/2)\/((-960)\/(-288)))\/(81\/540).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -703, -697, -691, -685, -679, -673?\n\"Answer: 6*s - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 16548*z**4 - 16546*z**4 - z + 11 - 122*z**3 in the form k + h*z + l*z**4 + n*z**3 + p*z**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(11\/2)*q)*q*q**(11\/5)*q**29*q*q*q*q**(-1\/28) assuming q is positive.\nAnswer: q**(4013\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 5, -1, -8, -54\/13.\nAnswer: -117, -8, -54\/13, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - g - 33, 0 = 2*q + 2*g + 18. Let z = -5137\/4 - -23909\/20. Let x = 90 + z. Which is the closest to x? (a) -2\/5 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/108*1)\/((-100751)\/86358)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39825, 1.1, 1\/5, 2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + (0 + sqrt(72) + 1 - (2 + sqrt(72)*-2)) + 0)*5)**2 + -3.\nAnswer: 2520*sqrt(2) + 16393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.888357l?\nAnswer: 5888.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 - 9*y + 4. Let w be m(3). What is the highest common factor of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 106*j**5 - 5 + 393*j + 100*j**5 - 2*j**2 wrt j.\nAnswer: -120*j**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 2*r + 4. Let i be k(-2). Suppose 2*x - 4*w = 84, -7*x + 4*x - i*w + 156 = 0. Let y = x + 42. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u. Let f(n) be the second derivative of -2\/3*n**3 + u + 3\/2*n**2 + 5*n. Differentiate f(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 2. Suppose 3*i + 25 = -2*i. Give k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {u: 1, f: 2, y: 1, i: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -199.32 and 3.\nAnswer: -196.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 1 + 5 + 74*q**4 + (-q - 5*q + 4*q)*(3 + 2*q**3 - 3) + 3*q - 3*q - 6*q**4.\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:31 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*v + 217*v + 232*v + 57*v**3 - 77*v.\nAnswer: 57*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.997603 to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11131 + -6710. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8))\/((-260)\/624).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 greater than or equal to -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 31 + -59 + 21\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13313 + 146441\/11. Which is the third biggest value? (a) -2 (b) h (c) 2\/529 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - 6 - (4 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6aa93 - -546?\nAnswer: 70529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1491 (b) -367 (c) 4 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose 0 = -4*h - 4 - 8, -5*o - p*h - 9 = 0. Suppose o*d + 40 = 2*d. What is the highest common divisor of 200 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 93?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -97369?\nAnswer: -97369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(1*sqrt(588)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24795 = -401*i + 140*i for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 13*d. Let o be x(-13). Let s(b) be the third derivative of b**4\/24 + 10*b**3\/3 - b**2. Calculate the lowest common multiple of 16 and s(o).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 6*v - 5. Let b be -1 - (0\/1 + -11). Let f(k) be the first derivative of -k**3\/3 + 11*k**2\/2 - 15*k - 394. Let h be f(b). Give a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**6\/210 - z**5\/28 + z**4\/14 + 2*z**3\/21 - 4*z**2\/7 + 80*z - 65. Let f(x) be the first derivative of o(x). Factor f(q).\nAnswer: (q - 2)**3*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7590\/242 - 31) + (-2 - 476\/(-22))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-11)*(16\/126)\/(-4)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (11 + 9)) + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60173, -60033, -59653, -58913, -57693?\n\"Answer: 20*j**3 - 60193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 + 408\/420?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7516 + 3?\nAnswer: 7519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -28.005. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284638.\nAnswer: 2, 142319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(-16)\/(-2). Suppose -17 = 5*t - 22. Let f be t\/4 - 11\/(-4). Sort f, z, 0.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**2 + 52008669*w + 238804858 wrt w.\nAnswer: 4*w + 52008669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 5. Let z = u - 5. Let v = -8 + z. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26575*r**4 + 70645*r**2.\nAnswer: 637800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i)*(-5 + 0 + 3)*(-1 + 0 - 2).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1020 by 1.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/9))**(2\/29))**9)**(-10) assuming j is positive.\nAnswer: j**(-40\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 902870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92651 - 144179 = -51*j + 1072053. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17156 divided by -2.\nAnswer: 8578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.56 + 2.56. Let o = 0 + -18. Let g be 4\/o - (20 - 20). Put 5, a, g, 2\/15 in descending order.\nAnswer: 5, a, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 26.1 (b) 2.9 (c) 2 (d) -0.4 (e) 0.04 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700476?\nAnswer: 2, 3, 7, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1593553.498?\nAnswer: 1593547.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = s - 2780, -15*s - 5620 = -17*s + 5*h. Calculate the highest common divisor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r = 122179 - 120995 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/42*((-23)\/35 + (-128)\/(-224)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 307\/3 (b) 0.2 (c) 0.1 (d) 3\/5 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let o(t) = -6678*t + 15. Calculate q(o(i)).\nAnswer: -13356*i + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - u + 2*u + 1, 2*m - 5*u + 3 = 0. Which is greater: m or 3\/44?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*x + 27. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - 3a6?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/7511460 and 31\/27?\nAnswer: 67603140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 130*m**3 + 18*m**2 - 513*m**3 - 30*m - 21 + 126*m**3 + 127*m**3 + 129*m**3. Calculate q(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169331*f**2 + 709624*f.\nAnswer: 338662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f - 3. Let d be m(-6). Let x(u) = -5*u + d*u - 2*u. Let j = 1 - 0. Give x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-five quarters of a litre?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.3066 in -3\/7, -0.5, 2, -29?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -230, 3, 29 in descending order.\nAnswer: 29, 3, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 580?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*u + z, -4*u = 3*z - 15 - 0. Let q be (2 + 0)*1 - u. What is the third derivative of -5*a**5 - a**2 + 8*a**2 - a**q wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -52. Which is the nearest to -0.2? (a) l (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 10, f: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 1. Let b(c) = -c**2 - c + 6. Give -b(n) + 2*d(n).\nAnswer: -n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 42. Let x = c - -12. What is the tens digit of (-314)\/x + 8\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12175*n**3*x + 284566*n**3 - 5*n*x wrt x.\nAnswer: 12175*n**3 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0 + 1\/6*p**3 + 0*p**2 - 1\/6*p**4 + p. Find the second derivative of v(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138, 86, 10, -102, -262, -482, -774?\n\"Answer: -2*l**3 - 38*l + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1341084.5 to the nearest ten thousand.\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 14*s**2 + 18*s + 129. Let v be x(-7). Solve -v*c + 6 = b, -3*b + 2*c - 11 = -6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - -10669917\nAnswer: 10669932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 1 + 1. Let n = 1 + -1. Let o(c) = -c + 3*c + n*c. Give o(r(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 4*k**2 - k - 1. Let n be d(-4). Suppose -4 - 8 = -n*s + 2*u, -4*s + 3*u = -16. Let m be s - ((-30)\/(-5) + -4). Solve m*z = z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0536 or 94862?\nAnswer: 94862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 66, 122, 194, 282, 386, 506?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emkeemkukekeumueeme. Give prob of sequence ke.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 37192*f + 12928*f - 8772*f.\nAnswer: -2*f**2 + 41348*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3318?\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.28 - 17.84. Let v = -0.3 - 14.7. Let t = y - v. What is t rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5 and 6\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -4, -0.203?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*s + 4*s. What is the nearest to s in 1\/6, -4, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - (0 + 0)*1. Let c = 0 - v. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 165 - (-10 + 5)*1. What is the highest common divisor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*f**3 - 3*f - 115 wrt f.\nAnswer: -3258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - -16 - 2 - -855. Calculate the greatest common factor of s and 1368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 24811*w + 99253. Give r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 155 + 159 + 164 - 9*b**2 - 474 to a*b + d + k*b**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37440 = 2255*r - 815*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -331, -352, -387, -436?\n\"Answer: -7*g**2 - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 + 6. Let c = 1 - -5. What is the smallest common multiple of 4 and r(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1300730 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 4, y: 1, d: 2, v: 1}. Give prob of picking 1 y, 1 j, and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 9*k - 3. Let r be k\/(1 + 8\/(-12)). Let n be 40\/(-15) + (-4)\/(-6). Sort 4, n, r, -4 in decreasing order.\nAnswer: 4, r, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 13) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2)\/6 - 10\/(-3). Solve c*l = -4 + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -112*l - 88*l + 66*l + 5494 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 9. Let j be (-268)\/(-6) + a\/3. Calculate the highest common divisor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230434?\nAnswer: 2, 277, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9225008.\nAnswer: 2, 13, 44351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, g: 1, c: 2}. Give prob of picking 1 y and 2 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352.899983651 + -352.9. What is w rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121001223 - -211?\nAnswer: -121001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1)*(1988\/(-56) - -33).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 2602*m**2 + 1412031*m\/2 + 2094642.\nAnswer: (m + 3)*(m + 284)*(m + 4917)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 2*l**3 - l - l + (2 - 2 + 2*l)*(-21*l**2 + 15*l**2 - 40*l**2).\nAnswer: -90*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/15)*l*l*l**(-2\/19)*(l\/(l**4\/l))\/l**6 assuming l is positive.\nAnswer: l**(-1778\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 8*m - 26. What is f(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 539, 2\/9, 0.5 in decreasing order.\nAnswer: 539, 0.5, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286587884 less than -15?\nAnswer: -15.0286587884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-8) - (21\/12)\/7. Let m be 4\/(-14) + 48\/21. Let u be h - (-1)\/(m\/8). Solve -4*c + 2 = -u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24 - ((-4148)\/51)\/((-210)\/(-63)). Factor g*u**3 - 6*u**2 + 0 + 0*u.\nAnswer: 2*u**2*(u - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379 * 0.1.\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 135559490 to the nearest 1000000.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 71, 65, 45, 5, -61, -159?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from sststjtsjsststt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(5 + ((sqrt(3) - sqrt(21)\/(sqrt(21)\/sqrt(3)))*-1)**2 + 0 + 3).\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -111012201 (base 3) to base 7\nAnswer: -40036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-2))\/(6\/(-8)) + 8. Suppose 4*x = -u*s + 664, -x = -2*s - 2*x + 335. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 98*l = -1805 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/36 + 358*a**3\/9 + 64082*a**2\/3 - 647*a. What is k in b(k) = 0?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, w: 8}. What is prob of picking 1 k and 1 w?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-27)*2*(-9)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 355*u - 27336. Give w(113).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 13*v + 162. Suppose h = -5*f + 149, 3*f + 2*h - v = 34. Let k = f + 30. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 808144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, -1, -4, -3, -122.\nAnswer: -122, -25, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r + 0)*(1 + 0 + 1)*(-1 - 5*r + 1).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 10) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 + 5 = 0. Let x be (-4)\/10*1*-15. Solve 2*z + 4*l = x*z + 20, -w*l + 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5*u - 4 = 0. Solve -2*s - 3*r = -1, -s - u*r + 4*r = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 7*o**2 + 7*o - 3. Let l be i(-8). Let b(s) = 3*s. Let r(q) be the third derivative of -q**4\/8 - 2*q**2. Give l*b(j) + 6*r(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46860267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116836 - 68783. List the prime factors of d.\nAnswer: 29, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 1658*j - 11575. What is w(-7)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936222?\nAnswer: 2, 3, 7, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.22 (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 27?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20071706\/71 or 282699?\nAnswer: 20071706\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(800))*-2.\nAnswer: -40*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12743, -53150, -120495, -214778, -335999, -484158, -659255?\nAnswer: -861290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/3 - (-52)\/6. Suppose 0 = -5*p - g + 36, 2*g - 33 = -4*p - o. What is the third derivative of -4*x**6 - 26*x**2 + x**6 - p*x**6 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) -4 (c) 2 (d) 0.3 (e) -39 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26638 + -2.\nAnswer: -2.26638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(104)\/sqrt(800) + 1)**2 - (1 + (sqrt(1300) + sqrt(1300) + 4)**2)).\nAnswer: -521387\/100 - 799*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 - 29 = 0. Suppose -2*n - 8 = -18. Let b be n\/(-3)*2*-3. Is h bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1786*o**3 + 903*o**3 + 881*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 26. Suppose -p = p - s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*((l\/(l*l**(2\/7)))\/l*l)\/l))**(1\/5)\/(l**(4\/5)\/((l**(2\/5)\/l)\/l)) assuming l is positive.\nAnswer: l**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36 - -4) + (-73 + 51 - -21)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 216 = -14*c + 124. What is the closest to -0.02 in -0.05, c, 4, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 + 2 = 0. Let z(r) = -r**3 - 7*r**2 - 7*r - 1. Let m be z(-6). Let c be 264\/15 + 2\/m. Solve 4*k - f - c = 4, t*k + 4*f = 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (27\/36)\/(-1 + 6\/12) - -2. Find h, given that -b*h - 1\/6*h**2 + 2\/3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 39*s + 44*s + 3, -1 = -s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27044331475\/45401 - 595677. Is 1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340221025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9056 = -2*x, -4*x = -111*b + 109*b - 18082. What are the prime factors of x?\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + (-4)\/(-6). Let x(d) = d**2 - 2. Let l be x(v). Let q be 0 - (2\/3 - 1). What is the closest to 1\/2 in l, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4040 - 6910. What is b rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10312807 and 15?\nAnswer: 10312792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t + 3*t + 26*t)*((3*t - t + 0*t)*(0 + 0 + t) + 62 - 62 + 11*t**2 - t**2 + 5*t**2 - 3*t**2).\nAnswer: 518*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125 + 79 + 451)*(2 + 0 - 4)*(0*a**4 + a**4 - a**2 + 0*a**4) to the form g*a**3 + h*a**2 + n*a**4 + x*a + k and give h.\nAnswer: 1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 + 495 = 142*r. Let p(w) = 40*w**3 + 3*w + 4. What is p(r)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281472 + 281463. Let h be (0 + 2)\/((-2)\/(-4)). What is the fourth smallest value in h, 23, 0.1, w?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 966, 5.\nAnswer: 5, 13, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 3)*(-90)\/(-8). Suppose -3*n - 6 = -4*n. Let c be 3*n\/k*5. Sort 5, 1\/8, c.\nAnswer: 1\/8, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.564 + 14.564. Let n = -127493 - -127504.0026. Let g = q - n. Round g to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/64*12)\/(5\/(-20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 4. Let f be l(3). Let s = 0 - -2. Sort s, 3, f in descending order.\nAnswer: 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3 - 2) + (-6)\/(-3). Solve -2*m + 4*u = 3*u - 6, -b*m + 10 = -u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-102)\/(-3332))\/(36\/658) and -113\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -13 - 39. Suppose -u = -7*p + 3. Suppose 7 - 1 = 2*m. Sort m, p, 5, -13 in descending order.\nAnswer: 5, m, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 - 12*y + 39. Let q be r(5). Suppose -j + 782 = 3*j - 5*s, -2*j + 388 = -q*s. What is the greatest common factor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/13)\/(u\/u**(-33))*(u\/u**(-7))**(-2\/45) assuming u is positive.\nAnswer: u**(-20053\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201012220212 + -111?\nAnswer: 201012220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/((-10)\/3))\/6*-5756 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:11 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -20 + 20*q - 32\/3*q**3 + 0*q**2. What is the first derivative of j(t) wrt t?\nAnswer: -64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39258 + 1?\nAnswer: 39259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 604*u**2 + 61271*u - 526. What is k(-129)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 21 - 6 + 1168*n - 36 as a + b*n and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -16047, 1, -491 in descending order.\nAnswer: 3, 1, -3, -491, -16047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 18*o - 7*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559693818.\nAnswer: 2, 3, 661, 47041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 99 = -11*g. Let v(w) = -w**3 - 13*w**2 - 24*w - 22. Let x be v(g). What is the nearest to -1\/2 in 0.5, x, 13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1451*a + 1503*a - 260 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1829520 divided by 45\nAnswer: 40656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssshlkhhhlllksl. Give prob of sequence hk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47089, 47398, 47707, 48016, 48325, 48634?\n\"Answer: 309*n + 46780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/18)\/(752\/32148*-114)?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 399807637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 732 + -1218. What is the units digit of 1\/(-4) - x\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one halves of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*s - 211 = 150*s. Let n = -1058\/5 - s. Let t be 1 - ((-30)\/26)\/(-1). Which is the closest to n? (a) -4 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1383920 and 720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 - 12*w**4 - 38*w**3 - 52*w**2 - 33*w - 8 = 0. Calculate w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0\/(-2) + 2)*2. Solve 3*p = r*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 111?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-2)\/(-1))\/2. Let y(w) = -2*w - 16. Let v be y(-8). Let f = v - o. Solve 3*x - l - 7 = 0, 0 = 4*x - f*l - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -70*i + 3424. Solve i*k + 264 = 151*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 38*s + 11*s - 36 + 105 = 0, 2*j = -4*s - 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -5. Is -4 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3910 = -4*k - 3902, 0 = 5*g - 5*k + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3257\/6522 - -2\/3261. Let j be (-1)\/(-3) - (-15)\/9. Suppose p + k*p**j + 0 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.87.\nAnswer: -9.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2 - 1 + 7)*(-33 + 59 - 145)*(f - 2 + 2).\nAnswer: -952*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*20\/8*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4271 by 4271.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:26 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 + 7*f + 0 + 5 + 7. Let d be v(5). Find the third derivative of -187 + 187 + 3*a**4 - d*a**2 - 8*a**4 wrt a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6699 + 1006. List the prime factors of l.\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14120 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249\/4 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -132*u + 9963. Give j(76).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17\/2)\/(25\/10 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21065 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204836 or 204834?\nAnswer: 204834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/139 or -2063?\nAnswer: -2063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 48\/11*x - 280\/11 - 2\/11*x**2 = 0.\nAnswer: 10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 + o**2 - 4*o**2)*(-o**2 + 0*o**2 - o**2) + (8*o**3 - 15*o**3 - 9*o**3)*(-4 - o + 4).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(630)*1 - sqrt(630))*-4)\/sqrt(10) + -6*(-1*sqrt(567))\/sqrt(9)*-3.\nAnswer: -54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 5. Give s(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i + 9. Let k(d) = -8*d + 3. Let z(n) = -6*f(n) + 17*k(n). Let j(h) be the first derivative of 1\/3*h**3 + 0*h + 0*h**2 + 431. Give z(j(t)).\nAnswer: 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1086.859 grams?\nAnswer: 1086859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, d: 5, l: 1, f: 1}. What is prob of picking 1 l and 1 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 564904 and -63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*r**5 - 371*r**4 + 1104*r**3 + 36*r**2 = 0. What is r?\nAnswer: -1\/31, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367*i - 371*i + 20 = 0. Put i, 1\/4, 48 in increasing order.\nAnswer: 1\/4, i, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173.1 + 202.1. Let k = 0.12 - 0.22. Which is the third smallest value? (a) 4 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-94)\/24)\/((-12)\/224). Let g = l + -73. Let f = 3 - 3.1. Which is the closest to f? (a) -1\/8 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/16276, 232, 0.1 in descending order.\nAnswer: 232, 0.1, -3\/16276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {c: 3, y: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p + 3. Let j(x) = -3*x - 2*x + 2*x - 51 + 19. Let s be j(-10). Give c(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 2*a - 3*c, -3*a = -0*a + 3*c - 534. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4. Let a be -1*3\/z - -1. Suppose 40 = -101*v + 91*v. Put a, 24, v in ascending order.\nAnswer: v, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -162, -159, -154, -147, -138, -127?\n\"Answer: y**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92721539 rounded to 2 decimal places?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -80*j**3 + 4*j**2 + 11*j. Let a(r) = -40*r**3 + 2*r**2 + 5*r. Let d(w) = 13*a(w) - 6*i(w). Is d(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -4*n + 57. Let o = 84 - n. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(320)*-2 + 1 + sqrt(320)*2)*6)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -961 or -10572\/11?\nAnswer: -961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - (-16 - (4 + -12) - ((-2 - 0) + -2)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87804610931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111188 + 12*n**2 + 108341 - 14*n**2 to c + q*n**2 + f*n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 + 4*p + 165. Let g be m(0). Let w = g - -99. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897.8 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -13. Let n be 1 + 2 - 1 - m. Calculate the highest common divisor of n and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 3. Let z be p(1). Let b be (-2)\/(z\/(-4)*(-2 + 0)). Solve b*k + 2 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19 + 2*i + 34 + 32*i**2 - 45 wrt i.\nAnswer: 64*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*v - 238*v + 20 = 0. Let d(a) = -6*a - 9*a**2 + 20 + a**3 - 3 + a**2. Does 32 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 9 = -11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 1 + 1)*(2*f**2 - 3*f**2 - 4*f**2)*(11*f**2 - 2*f**2 + 7*f**2).\nAnswer: -240*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*o - 41, -q = 4*o - 4*q + 32. Which is the biggest value? (a) 4\/5 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 30 = 0. Suppose -g - 3*l = -17, 5*g + 3*l - q*l = 85. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255885505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-14) - (-7)\/98*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 36*u**2 + 0 + 1\/3*u**3 + 0*u - 1\/8*u**4. Let a be v(0). Solve 7 = -a*q - 3*l, -3*l - 2*l - 15 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 4*c - 20, -2*s + 4*c - 2 = 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*i = 176, -3*v - 44 - 72 = i. Let a be (-4)\/(-10) + (-144)\/v. What is the first derivative of 0*j**a - 4 + 0 + 0 - 2*j**4 wrt j?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66.9 and -9075175.\nAnswer: -9075108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0)\/1 - -7. Which is smaller: 7\/2 or h?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -5*z**4\/24 - 8*z**2 - 9. Let a(i) be the second derivative of p(i). Let w(n) = -9*n. Calculate w(a(x)).\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550724 and 1048.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 205452120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - a - a)*(44 - 44 - 2*a).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m + 4*g = -5, 2*g - 2 = -4*m. Let q be ((-8)\/66)\/(24\/36). Let t = 0.05 + -5.05. Which is the nearest to 0? (a) m (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-2\/25)*b\/(b\/b**(-1\/48))*(b**10*b)\/b**(-16) assuming b is positive.\nAnswer: b**(33671\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1495 + -1491. Which is the third biggest value? (a) 1\/9 (b) q (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:37 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -17549.09.\nAnswer: 35098.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -37*s**3 + 3*s + 3. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*b - 27*b + 35*b - 6*b.\nAnswer: 69*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -18ef?\nAnswer: -18f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 9. Let y be r(15). Let q be (2 - 0)\/((-4)\/y). Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46289575 divided by 5?\nAnswer: -9257915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 4\/20*5. Solve 0 = 6*m - 4*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 8. Let f(z) = 10*z - 18. Let y(n) = 9*a(n) - 4*f(n). Let d(o) = -o + 12. Let h(x) = 3*x - 26. Let c(m) = -5*d(m) - 2*h(m). Determine y(c(g)).\nAnswer: 4*g + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 - 43\/(-9). Suppose -x*u + 2*u = -45. Suppose -4*w - a - 6 = -121, -2*w + 80 = -4*a. What is the highest common factor of w and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 3, k: 3, h: 3}. What is prob of sequence wb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*c + 459 = -660*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = 44*l + 69584 - 2574268. Does 66 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 4\/(7 - 11)*7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -393 - -383. Suppose -120 = -5*y - 0*y. What is the remainder when y is divided by ((-336)\/36 - h)\/(2\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80926070921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106329 and 80065?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-3.3.\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -920722.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -12b?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -64 and 30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*k - 85 + 40 - 72 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/17)*q\/(q**4*q)*q*q*q**(8\/11)*q**(1\/20) assuming q is positive.\nAnswer: q**(-393\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.467 take away 73355.5?\nAnswer: -73400.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -58*k**2 - 2*k - 5. Let x(i) = 579*i**2 + 21*i + 51. Determine -21*s(q) - 2*x(q).\nAnswer: 60*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 617799, 617795, 617791, 617787, 617783?\nAnswer: 617779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (4926 - 5026)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 63*p**3 - 8*p**2 + 4606. Let l(a) = -23*a**3 + 3*a**2 - 1535. Calculate 4*j(d) + 11*l(d).\nAnswer: -d**3 + d**2 + 1539","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -5*t + 33. Let r be (0\/t)\/(1\/3*-3). Solve -3*d - d - 12 = r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2263*-4.\nAnswer: -9052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 14*a - 19. Let o(u) = -u**2 - u + 64. Calculate the remainder when o(0) is divided by w(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(96) + -3*(sqrt(112) + sqrt(7) - sqrt(7)))*5)**2.\nAnswer: 386575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 35.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2 + 2*v + 3. Let t(l) = -l**2 + 31*l + 4. Let w be t(31). Let u = -1 + 11. Let y(r) = 3*r**3 + 3*r**2 - 5*r - 7. Give u*n(g) + w*y(g).\nAnswer: 2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 10)*(-3*f + 10*f - 3*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 50*s + 52.\nAnswer: -2*(s - 26)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:40 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -198. Let l(v) = 5*v**2 - 3*v + 7. Let p(h) be the second derivative of h**4\/2 - h**3\/3 + 4*h**2 + h. Let s(q) = 5*l(q) - 4*p(q). What is s(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -51c7b9?\nAnswer: 51c7b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:24 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 244 = 2*t - 210, 6 = -6*t - 4*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6177 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9942979 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 11*c**2 - 15*c + 16. Let u = 283 + -271. Give h(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/20 - 233\/(-5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11552529, -23105026, -34657523, -46210020, -57762517?\nAnswer: -69315014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2874 = -5*l + x, 3*l - 1738 = -4*x. What is the smallest common multiple of 175\/(-14)*(-2 + (-8)\/(-10)) and 2\/(-6) - l\/(-21)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117160486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + z - 4*z + 0*z. What is the remainder when 6 is divided by j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(91) - 3*(sqrt(91) - (sqrt(91) - sqrt(91)*-1) - sqrt(91))) + sqrt(91) - sqrt(91))\/(sqrt(42)\/sqrt(6)*1 + sqrt(7) + sqrt(7)) + -1)*-5.\nAnswer: -175*sqrt(13)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (132\/88*(-73)\/15 + 4)*20\/(-8)\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 + 2*x + 4. Let h(j) = 1. Let w(y) = 5*h(y) - m(y). Suppose -n = -2*l + 2, 2*n = n - 3*l + 8. Is w(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -8 - (21 + -12 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2547.3 - -2547. Let o = 1 - 1.2. What is the closest to 0.1 in x, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11460 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147b9 (base 15) in base 14?\nAnswer: 1a014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/2 + 181*a**2 + 5226*a + 3404 = 0.\nAnswer: -74, -46, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 5:35 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = -5*q - 5, 2*q = 2*j + 12. Let a = 3 - j. Solve i + d = 4*d - 12, -i = -d + a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*i - 14, 0 = i - 5*i - 2*h + 20. Calculate the greatest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 7 - 11*v)*(-283*v**4 - 353*v**4 + 725*v**4).\nAnswer: -979*v**5 + 178*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.11551 hours to minutes.\nAnswer: 2106.9306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69565.9967107 + -69566. What is i rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50392 and 68344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*18\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52633*i + 1 - 1.\nAnswer: -52633*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8245 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118419006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + y**3 - 5*y**3 + (5*y**3 - y**3 - 2*y**3)*(3 + 2 - 3))*(-12 - 144 - 40).\nAnswer: -588*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -12. Solve -5*s - 5*v = 20, -5*s - v - v - i = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -396 - -682. What is the greatest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151569 and -0.517009?\nAnswer: 151569.517009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3*(2 + -3). Let n = -3767 + 3763. Put -2, 4\/3, d, n in decreasing order.\nAnswer: d, 4\/3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.214685361 to two dps.\nAnswer: 6.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 8 = 8*o. Let x(s) = -5 - 5 + 10 + 5*s + 38. Let y be x(o). Which is the nearest to -0.2? (a) y (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6699503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 11*c**2 + 12*c**2 + (-3*c - 2 + 2)*(0*c - 3*c + 4*c) + (-4*c + 0*c + 0*c)*(0 + 0 - 2*c))*(0*c - 4*c + 5*c).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s + 14*s - 6*s to the form l + w*s and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 5*m - 6, -11 = -4*m + 3*g. Let h = 2 + 3. Suppose 4*i - m*k = h*i - 3, 6 = 2*i + 2*k. Let a(o) = -o**3 + 3*o**2 + 2*o - 4. Determine a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 18, 38, 66, 102?\n\"Answer: 4*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.33 times 5\nAnswer: 11.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 1041*i + 3096.\nAnswer: 3*(i - 344)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/3709 or -1.2?\nAnswer: 31\/3709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 + 17. Let k be w(4). Suppose 56 = 2*s - 5*v - k, 3*s = 2*v + 58. What is the highest common divisor of s and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**2 + n**2 + 12*n**2. Let t(u) = 4*u. What is k(t(y))?\nAnswer: 80*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*x + 20, 161*x - 164*x + 2*r - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 18741?\nAnswer: 74964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13380*u - 2*u**3 + 7734*u - 14302*u - 5158*u.\nAnswer: -2*u**3 - 25106*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047 a factor of 6028138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*t + 25319140, -5*p + 3*t - 124708572 - 1887216 = 0. Let q = p - -14819160. Round q to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2367*w + 2371*w = 16. Let n(r) = 9*r + 1. Let h be n(3). Let t = h - 20. Calculate the least common multiple of t and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61546\/17 + -3621. What is the third smallest value in 3, -4, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*w - 0 + 7, -d = 5*w - 17. Suppose -i - 5*s = -2, w*s = 2*i - 1 - 3. Suppose 0 = l + 6 - 2, 2*l + 11 = -t. Put t, i, -2 in increasing order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 742*j**2 + 77. Let q(f) = 14*f**2 - 1. Let w(m) = 5*m**2 + 1. Let v(l) = -q(l) - 5*w(l). Give 4*u(s) + 77*v(s).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*s - 5*k, -k + 5 = 4*s - 30. Solve i = -i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-2\/5)*q**(-2\/11)\/q**(2\/9)*(q*q\/(q*q**(-1)))**(13\/5)*q**(-1)*q**(1\/10)\/q assuming q is positive.\nAnswer: q**(2471\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -40. Let k = b - 21. Let m = -11 - k. Solve 0*g = m*g + 2*z, -4*z + 36 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -6*g + 31. Suppose 0 = -3*f - g, -4*z - 15*f + 17*f = -10. Solve p + 3*t - 5 = 0, -3*t + 0*t + 7 = z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and 1588.25181.\nAnswer: 1587.65181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83.44, -53\/10, 0?\nAnswer: -53\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*v + 23, -3*v + 5*v - 4*l = -68. Let g = v - -56. Suppose 0 = 3*f - g + 11. Put 0.5, 4\/7, f in increasing order.\nAnswer: 0.5, 4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -18, -19, 1\/3, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 > 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*a + 24*a**5 - 146*a**4 + 7*a**5 + 143*a**4 wrt a.\nAnswer: 620*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2037 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-6) + (1 - -1). Let n be 22\/(330\/45) + 3. Which is the closest to y? (a) 6\/7 (b) n (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuuuyuyuuuuuyuwuuww. What is prob of sequence yy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9230 and -17\/74550.\nAnswer: 969150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 144.\nAnswer: 107\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9173445 and -0.063364453?\nAnswer: 9173445.063364453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**6\/120 + t**5\/30 + t**4\/24 - t**3\/6 - 20*t**2. Let x(r) = r**3 - 15*r**2 - 2. Let p be x(15). What is f(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -12, -58, -158, -330, -592, -962, -1458?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 506551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and -196443?\nAnswer: -64826.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {v: 1, a: 1, l: 1, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**3 + 74*j**2 - 4004*j - 36092. Calculate a(-9).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931*r = 1936*r - 40 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.3. Let j be 2\/5*(7 - 2). Suppose -m = -j*m. Is m less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 9874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:58 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -705*x + 76 - 662*x + 1995*x - 684*x to p*x + z and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 7*h**3\/3 - 3*h**2\/2 - 27*h - 23. Is g(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfk when three letters picked without replacement from {f: 1, c: 2, i: 2, v: 4, k: 4}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4095 and -53\/1853280.\nAnswer: 12972960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m**2 - 6*m**2 + 10*m**2 as b*m + a + h*m**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 2*b = 39, 3*q - b - 36 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14380 is divided by 1842.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 5}. Give prob of sequence isi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -37+-925\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -569, -764, -1089, -1544, -2129, -2844, -3689?\n\"Answer: -65*t**2 - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 26. Let a be t(-13). Sort a, 1, -3, 5 in descending order.\nAnswer: 5, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-538900)\/32*4\/7282. Let p = 2\/3641 + k. What is the common denominator of p and -59\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45\/2*j - 20*j**2 + 5\/2*j**3 + 0 = 0. Calculate j.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(2\/(24\/(-4))). Let i be (-6 + 3 - -6)*t. Let k be 3 + -4 + -26998 + i\/3. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.8. Which is the nearest to 2\/15? (a) y (b) -2\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 3*p**2 + 2*p + 4. Suppose 3*m = f - 3*f + 3, -2*f = -3*m - 9. Let o be n(f). Suppose 2*d - o = -0*d. Sort -1, d, -3 in descending order.\nAnswer: d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-4) + 24\/3. Suppose 4*o + 0*o - 23 = -k, 2*o = -n*k + 25. Solve -4*d = -3*d - 2*i + 6, 0 = -4*d + k*i - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13533, -54245, -122097, -217089, -339221?\nAnswer: -488493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(704) + 3 + sqrt(704) + 6*((1 + sqrt(704))**2 - sqrt(704)) - ((4 + sqrt(539) + 0 - (-2 + sqrt(539) + 1))*-6)**2.\nAnswer: 64*sqrt(11) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029467 rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**20\/(o*(o\/o**9)\/o) assuming o is positive.\nAnswer: o**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*h**5*t + h**5 - 2*h**4*t + 14*h**2*t + 2 wrt h?\nAnswer: 1320*h**2*t + 60*h**2 - 48*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.4195 - 0.4?\nAnswer: -184.8195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itx when three letters picked without replacement from itmxoziiztoxxoz.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70120 divided by 8765.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**8\/112 - i**4\/8 - i**2 - 3*i. Let t(k) be the first derivative of n(k). Find the second derivative of t(l) wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*o**2 - h*o + 15726310*h + 35*o**4 + 13731*o wrt o?\nAnswer: -4*h*o - h + 140*o**3 + 13731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1030 and 423845.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.062 - 0.062. Which is the nearest to t? (a) -8 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 2. Let i(w) = -299*w - 5676. Let n be i(-19). Let g be (-1 + 1)\/((-9)\/9). What is the closest to z in -0.4, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - -17?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1692 + -1692. Which is the nearest to 0.2? (a) 2.06 (b) t (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 + 95 + 0*y**4 - 2*y**4 - y + 3*y**2 - 28 - 106*y**3 as w*y**4 + d*y**2 + r + s*y + j*y**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3485174191\/2170 - -1606071. Calculate the common denominator of a and 83\/16.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 59*w. Let j(k) = k**2 + 2*k. Calculate i(z) + 2*j(z).\nAnswer: -z**2 - 55*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/4 + 3701*r**3\/4 - 3422499*r**2\/4 - 3426201*r\/4.\nAnswer: -r*(r - 1851)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-84)\/16 - -6)\/(1\/4) - -11222. Which is bigger: 11226 or q?\nAnswer: 11226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60e6f + -44?\nAnswer: -60eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let u(o) = 10*o. Let m(k) = 6*d(k) - u(k). Let w(q) = q. Calculate m(w(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 10*i**2 + 12*i + 13. Let m be (-6)\/(-24) + (-90)\/8. Let q be v(m). Suppose -96 = -q*t - 2*t. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.482 - -49.241. Let a = -28.54 + n. Let x = 0.091 + a. Round x to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79675 + -43068. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158\/3 + -52. Suppose 0 = -n - 2*n - 3. Let d = 0 + n. Which is the second smallest value? (a) 0.5 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1669*z**2 - 14 - 17 + 31 + 1637*z**2. Let v(x) = x + 129. Give f(v(h)).\nAnswer: -32*h**2 - 8256*h - 532512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*2)\/sqrt(6) - sqrt(13))*1*1 + 2.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98084\/3277 + (-36)\/(-522).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417849512.\nAnswer: 2, 61, 856249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 15. Let k = -11.6 + o. Put -0.2, -2, k in decreasing order.\nAnswer: k, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3470438 is divided by 5423.\nAnswer: 5141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 6, -3, -512, -2, 0 in descending order.\nAnswer: 7, 6, 0, -2, -3, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-68)*657\/36 and -44\/5.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-1\/15)\/w)\/w))**(-6\/5) assuming w is positive.\nAnswer: w**(-92\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 22946445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -23, -42, -67, -98?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 2, t: 2, v: 1, f: 6}. Give prob of picking 1 a, 2 f, and 1 t.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -4*l - 0*u + 270 - 286, -4*l = -2*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040, -2076, -3112?\nAnswer: -4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*-2*4.\nAnswer: -88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 66 = 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98346340.\nAnswer: 2, 5, 109, 197, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 - 4*n**4 + 24*n**3 - 8*n**2 - 20*n + 12.\nAnswer: -4*(n - 1)**3*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40834 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -20\/197273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214.304 + -217. Let t = k - -2.16. Round t to 2 decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -13*z**4\/8 + 47*z**3\/6 - 4*z**2 + 2*z - 4. Let l(n) be the second derivative of g(n). What is the derivative of l(b) wrt b?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 2, x: 2, e: 5, l: 1, r: 1}. What is prob of picking 1 s and 2 e?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -k + 9, 0 = 2*k - c - 27. Let b = k - -25. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x**3 - 3*x**2 + 2*x. Let v(l) = -33*l**3 - 7*l**2 + 5*l. Let y(f) = 5*r(f) - 2*v(f). Find the third derivative of y(j) wrt j.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2990405, 5980845, 8971311, 11961803, 14952321?\nAnswer: 17942865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315620 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*w = -28, 5*w - 1 = -2*r - 0*w. Let p = r + -5. Let c be 30\/(-4)*2*1\/(-3). Solve -13 = p*k - 5*a - 5, -k + 24 = c*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 2*u, 8 = 4*f + 2*u - 5*u. Suppose -4*d - 6800020 = -f*w + d, 8 = -2*d. What is w rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1206\/10 + (-9)\/15 + 2. Suppose u*g - 125*g = -1650. Is 68 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 3. Suppose 1 = 2*q - 7. Suppose 0 = q*j - 13 - 7. Give z(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113273891 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20284071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 0*w + 5*w)*(w**2 - w**2 - 3*w**2 + (-55 - 25 - 12)*(-4*w**2 + 2*w**2 + 6*w**2)) in the form q + x*w + k*w**2 + c*w**3 and give c.\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 651, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5548 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 505*s - 3022. Let h be q(6). Solve -157*n = -146*n - h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -c - z + 5*z, 2*c - 5*z - 273 = 0. Suppose 2*y - 427 = -5*d, -4*y + 26 = -d + c. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.1. Let t = -14.3 - -9.2. Let s = 0.1 + t. Which is the closest to -0.1? (a) l (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4611\/7 - 659. Which is the closest to -0.1? (a) 1\/8 (b) i (c) 7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*h + 27 = -0*t, -4*t + 21 = 3*h. What is the tens digit of (-4)\/6 - (0 + (-832)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.02. Let j = -9.88 + k. Let i = j - -9.99912. What is i rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 - 4*s + 6. Let k(b) = -13 + 0*b + 15*b**2 + b + 8*b. Suppose 21*z - 16*z + 30 = 0. Determine z*k(x) - 13*j(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3074 and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*d**3*l*v**2 - 94*d**3*v**3 - d**2*l*v + 5511*d*l*v**3 + 4*d*v**3 + 164*l*v - 103*v**2 wrt v.\nAnswer: -564*d**3 + 33066*d*l + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**4\/3 - 4*k**3 - 18*k**2 + 27*k. Factor l(f).\nAnswer: -4*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-22 + 51 + 46)*(0 - 2 + 4) - 3 + 8 + 16)*(2*c - 5*c + 2*c).\nAnswer: -171*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -22*o - 16. Suppose -o*x = -115 + 27. Is (x\/(-4))\/((-105)\/26 + 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5 = -c + 6*c, 2*c - 2*k = 18. Solve 4*d - c = -8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -3. Let j(r) = 2*r**2. Let w be (-8)\/12*6\/4. Let n be j(w). Sort -5, n, h.\nAnswer: -5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 15, -0.1, -0.052, 2\/3, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78218, 78183, 78126, 78047?\n\"Answer: -11*i**2 - 2*i + 78231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 = -r, 2*r + 2*h + 8 = 4*h. Let o(n) = -2*n**2 + 0 + n + 1 + 24*n**2. Determine o(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*l = -13, 3*s - 6*l + 3 = -l. Suppose -4*b + 4 = -s. Let p be ((-12)\/(-18))\/(b\/39). What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 10*t**4 + 14205*t**3 - 1343250*t**2 + 12362125*t - 30011250 = 0.\nAnswer: -1510, 5, 159\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) - -1*sqrt(99)) - sqrt(99))\/(sqrt(45)\/(-2*sqrt(5))).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {h: 2, t: 1, z: 6, w: 1, s: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17*c + 143. Let w be m(-8). Solve 16 - 2 = -w*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5187511009.7714\nAnswer: -5187511015.7714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7056 and 878864.\nAnswer: 7909776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 + 2*v - 4. Let a be s(0). Let w = a + 7. Suppose 5*t + 12 + 188 = 5*j, 0 = -w*t + 5*j - 124. Are -40 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 0)*(-o + 6*o - 2*o)*(0*o + 5*o - 2*o) to the form v + g*o + c*o**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 32) + 0 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 3*o - 9 + 4*o**2 - 6*o**3 + 10 to h + y*o**2 + g*o + s*o**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2718 - 5146 + 2745)*(2 - l - 2) - l - 2*l + l.\nAnswer: -319*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 6) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*t + 6, -2*v + 2*t - 16 = -2*t. Which is the closest to v? (a) -0.3 (b) 0.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i*i)\/(i\/(i*i\/(i**1*i)*i)))**(4\/11)*(((i*i*i*i**(-1)*i)\/i)\/i*i)**14\/(i\/(i**(2\/7)\/i))**35 assuming i is positive.\nAnswer: i**(-372\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -23*f - 61. Let a(s) = -2*s + 4. Calculate -5*a(l) + j(l).\nAnswer: -13*l - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 36*f**2 + 42*f - 35. Let d be z(13). Solve -4*k + 2*g = 5*g - 4, 2*g = d*k - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**4 + z**2 + 1. Let x(a) = 35*a**4 + 50*a**2 + 6. Suppose 17*n = 18*n - 6. Let o(v) = n*l(v) - x(v). What is the third derivative of o(y) wrt y?\nAnswer: -696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 6*s**2 - 6*s + 4. Suppose -4*b + j = 15 - 2, 5*b - 2*j + 17 = 0. Let x = b + 7. List the prime factors of h(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12941\/214 - 121\/2. Let z = 327\/214 + a. Factor 0 - 15\/4*s**3 - z*s - 21\/4*s**2.\nAnswer: -3*s*(s + 1)*(5*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 30*o + 4*b = 12, -2*o + b - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -24.4. Which is the nearest to 0? (a) 0 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -100. Let t = -27 - j. Let v be 2\/(t - (-15)\/(-10)). Solve -v = 4*z, 10 = -4*h - z + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78352 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(-5)*s)*(s\/s**6)\/s)**(-17\/7))**(-1\/55))**(-4) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 11*t**2 - 200*t - 14. Let c be v(-9). Sort c, -4, 1\/6 in increasing order.\nAnswer: -4, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 3, n: 1, a: 1, q: 3, y: 2}. What is prob of sequence ktn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 0. Let x = -13.7 - j. Which is the nearest to 0? (a) 0.4 (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4613, 4608, 4599, 4586?\n\"Answer: -2*v**2 + v + 4614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zibc when four letters picked without replacement from bhchhibchzbcchzhhi.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 12.804. Let h = 0.19441 + x. What is h rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2574 + -3087.7. Let u = -492.17 - p. What is u rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22491 and 7620165?\nAnswer: 160023465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*c = 663*c - 79 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19074, 37885, 56678, 75453, 94210, 112949, 131670?\nAnswer: 150373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 547*i + 3286. Let v be w(-6). Let l = 35\/72 - 1\/9. Let s = -0.2 - 0.3. Which is the closest to -0.1? (a) v (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -4 + (-82 - -49).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.4, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 18, 37, 62?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.36 + 0.06. Let t = 3\/8 - 35\/136. What is the nearest to 0.1 in t, c, 1\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by 6.\nAnswer: -182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 60?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3102211 (base 4) to base 6.\nAnswer: -142221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -177, -190, -209, -234, -265, -302?\n\"Answer: -3*l**2 - 4*l - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*l - 2676*l + 1103*l + 898*l.\nAnswer: 205*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**4\/24 - 2*n**3\/3 + n**2. Let c be x(4). Suppose 0*k - 2*k + 22 = c. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = -4*j - 14, 5*y + 3*j + 4 = 0. Suppose -20*p + y + 39 = 0. Suppose -3*w + p*r = 7*r - 10138, -5*r = 5*w - 16880. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -496.000000281 - -496. Round a to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3053 - 1531 - 1521 + a. Let t(n) = -5*n + 2*n**2 - 5 + 3*n**2 + n**2. Let d(i) = -10*h(i) - 2*t(i). Let s(g) = -2*g. Give s(d(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -737611485366.\nAnswer: -737611485366.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29093, 232934, 786081, 1863188, 3638909, 6287898, 9984809, 14904296?\n\"Answer: 29109*w**3 - w**2 + 81*w - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 54*m + 40730 - 27*m - 40730. Let q be (3\/2)\/(2\/(-4)). Let l(f) = -9*f**2 - 5. Let o(s) = -5*s**2 - 3. Let n(r) = q*l(r) + 5*o(r). Give n(w(i)).\nAnswer: 1458*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**33*(n\/n**(1\/5))**(-30\/7) assuming n is positive.\nAnswer: n**(207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -61514.5 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 311420*u + 84859614350.\nAnswer: 2*(u + 544985)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-4)\/(-2) - -8). Is h\/(-50) - (-1494)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122405150 (base 6) to base 11.\nAnswer: -1375996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**3\/3 - 2*g**2 + 7*g - 2. Suppose 0 = 400*d - 393*d - 21. Let m be a(d). Solve 4*u + 4*k + 13 = -u, m*u - 6 = 5*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f + 3*u + 25, 2*f = 4*u + 54. Suppose -2*y = 3*k - f, -y + 29 = 3*k + 9. Calculate the remainder when (64\/(-20))\/((-5)\/100) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**6\/4 + 21*c**5\/40 + 13*c**4\/4 - 7*c**3 - 18*c**2 - 113*c. Let s(g) = 0. Calculate g.\nAnswer: -2, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111200212 (base 3) to base 11\nAnswer: 118661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 43*b - 22. Let p be o(-6). Find the common denominator of ((-12)\/42)\/(p\/1519) and 5\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from {x: 4, u: 2, l: 1, k: 2, a: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 11*k**2 - 116. Is 19 a factor of c(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21202261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 31*y - 18 = 0. Solve -3*j + 7 + 14 = y*d, 4*j - 4*d + 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 2. Let f = -19 + 239. Let g = f + -221. What is the second biggest value in t, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/5)\/(s*s**(-1)\/s)*(s*s**(7\/8)\/s)**(-2\/7) assuming s is positive.\nAnswer: s**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26602 and 4888.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - 63 - ((4 - 7) + -3 - -43).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - 4*u = -6, -4 = 3*m - 5*u. Solve -3*x + m = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92864 = 68*o - 84*o. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1946626 divided by 51227\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a. Let c(q) = -18*q - 20. Let u be c(-2). Let v(o) = 3*o + o + u*o + 13*o + 2*o. Give l(v(n)).\nAnswer: -70*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 27*j**3 - 916*j**2 - 76*j + 271. Calculate d(34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:10 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (20 - (-2 + 24)) + 3 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 660\/(-990)*(-198)\/(-4)*-1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -8.16\nAnswer: -21.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47231 (base 12) in base 2?\nAnswer: -10111010010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 3280?\nAnswer: 62320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -214231211 (base 5) in base 12?\nAnswer: -38a371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -90721757.\nAnswer: 36288702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**4 + r**3 + r**2 - r - 2. Let x(m) = 13*m**4 - 110*m**3 - 236*m**2 - 82*m + 31. Let v(s) = -2*t(s) - x(s). Let v(u) = 0. Calculate u.\nAnswer: -1, 1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287*c**2*l**3 - c**2 + c*l**3 - l**3 + 83*l**2 wrt c?\nAnswer: -574*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-315)\/14)\/(-3))\/(1\/2). Calculate the highest common divisor of d and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**3 - 96*q**2 + 36*q + 65. Give h(-16).\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 60 = 4*s + 41*t, 5*s - 98*t = 9*s + 1266 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -780, -1286, -1792?\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 442713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let u be 3*(1 - c - -3). Differentiate 3 + d - u - 4 with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4112219 or 4112210?\nAnswer: 4112219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.1 (b) -1 (c) 7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152 * 0.2.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1150735, 4\/7, -1?\nAnswer: 1150735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/9 (c) 7.5 (d) 1057\/4 (e) 2\/13 (f) 2\/17 (g) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*r**2 + 99*r**2 + 99*r**2 - 294*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 63 = 37*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4250736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 110 - 25*x - 253.\nAnswer: -25*x - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 13*y**5\/5 + 2*y**3\/3 + 31*y**2\/2 - 68. Find the second derivative of x(m) wrt m.\nAnswer: 156*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**2 + 15*s**2 - 4*s**3 + 4*s**3 + 2*s - 6*s**3 + 6*s**4 - 6*s**2 as d*s**4 + b + h*s + m*s**2 + x*s**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m + 91. Determine f(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 287, 590, 1011?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/12 - x**3 - 3*x**2\/2 - 15*x. Let g be 2 + 0 + -1 - 5. Let p be y(g). Solve a - 15 = -3*a - p*i, i = 5*a + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 69. Solve 4*d + 6 = 6*d + 3*y, -d + q*y = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87405419 and -260427?\nAnswer: 87665846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 1 + ((-261)\/17)\/3. Which is the nearest to 0? (a) -3.76 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 51 = -5*g, 13*s + 0*g + 2*g + 273 = 3*g - 69 + 90 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 2067\/78)\/(((-30)\/20)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {f: 8, o: 4, a: 1, u: 2}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12377*m**3 - 24784*m**3 + 12367*m**3.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470942, -941879, -1412812, -1883741, -2354666, -2825587?\nAnswer: -3296504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 >= -248174\/1621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h)*(30 - 30 + 7*h)*(-h**2 - h**2 + 2 + 4*h**3 - 3).\nAnswer: -28*h**5 + 14*h**4 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 1, k: 2, v: 1, i: 1, u: 1}. What is prob of sequence ur?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/387 and -1\/468?\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*x**2 + 190*x + 75 = 0. Calculate x.\nAnswer: -5, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 5*t - t - 4*t + 2*t + 0*t + 4*t + 2*t - 5*t + (-1 + 3 - 3)*(-t + 3*t + t) + 0*t + 0*t + t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -d + 28, 2*s - 130 = -d - 3*d. Is ((-1)\/3*29)\/(d\/(-3663)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158 + -138. What is the remainder when (0 + -1)\/(1\/(-59)) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*3\/10*4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728134395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 + 597*r**2 - 7272*r - 34438576 = 0.\nAnswer: -404, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8384400 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14670366, 29340694, 44011022, 58681350?\n\"Answer: 14670328*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10\/7)\/h**(9\/7))\/(((h\/(h*(h**(-1\/2)*h)\/h*h))\/h)\/h)**22)**(5\/12) assuming h is positive.\nAnswer: h**(305\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74 + d?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = -2. Suppose 5*u - 11 = -1. Solve -u*n + 5*n = -c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 30. Is l equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6155764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10*l + 14. Let i(y) = y. Let k(s) = -6*i(s) + n(s). Let q be k(9). Calculate the highest common divisor of 125 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14310124.\nAnswer: 2, 17, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, -8, -44, -94, -158?\n\"Answer: -7*j**2 - j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9*30\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -55 + -13 + 54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a)**(5\/17) assuming a is positive.\nAnswer: a**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16430 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 - 28545860*u - 40743306156980 = 0. Calculate u.\nAnswer: -2854586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0026043ml?\nAnswer: 0.0000026043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 787*m**3\/4 + 1571*m**2\/4 + 785*m\/4.\nAnswer: m*(m + 1)**2*(m + 785)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**6\/360 - k**4\/24 + k**2. Let m(o) be the second derivative of p(o). Let j(d) = 4*d + d**2 - 4*d. Determine m(j(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 161332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 7*y**2 - 2*y - y as s*y**2 + c + d*y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 1. Let f be m(-4). Solve o - 5*j = 14, 4*o - 14 = -f*j - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.69 - 0.69. Let s = u + -43.9. Which is the biggest value? (a) 2\/19 (b) 0.2 (c) s (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from haz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-32)\/(l**(4\/3)\/(l**1\/l)) assuming l is positive.\nAnswer: l**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225702403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 117379 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 7*t - 14. Calculate u(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422236 is divided by 12795.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291\/10 + -59\/2. Let j be 42\/80 + 4\/(-10). Let z = 18829 + -18825. What is the biggest value in -0.5, z, p, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 24 + 6 = -88*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.200072 to 1 decimal place.\nAnswer: 59.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19402)\/(-37024) - 2\/32\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**5\/5 - l**4\/4 + 1131*l**2\/2 + 5829*l + 3158. What is the derivative of i(q) wrt q?\nAnswer: 4*q**3 - 3*q**2 + 1131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 4:43 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 52 = -5*j, 5*c + 4*j - 14 = 10. Suppose 0 = c*i - 3*i - 50. Let t(q) = 2*q - 8. What are the prime factors of t(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234\/995 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-16)\/(-3))*9\/(-6). Solve 7 = 5*v + 3*y - l, v = -3*y + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -12, -52*p + 53*p = -4*w + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 29*p + 3 + 64*p as s*p + y and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32640522415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(162) + sqrt(162) + 3 + 3 - (4*(-4 + sqrt(162)))**2) + -2) + 1.\nAnswer: -11375 + 4680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44361 or 2\/1269?\nAnswer: 2\/1269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456 is divided by 538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117\/20 in -3\/10, -0.5, 227?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 41*l = -114. Calculate the remainder when 206 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76374 and 60?\nAnswer: 763740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13392\/28 - (-5)\/((-35)\/2). Let i = q - -489. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**4\/4 + 10*l**3\/3 + 4*l**2 + 32*l + 99. Is u(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 48 = -3*h - 10*z, -64 = -4*h + 5*z. Solve k - 12 = -h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10573\/315 - 1504\/45. Let k = 3.6 + -4. What is the second biggest value in y, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 160*d**2\/11 + 2850*d\/11.\nAnswer: -2*d*(d - 15)*(d + 95)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*o - 243*o - 236*o + 713*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 14*w - 12. Let a(u) = 3*u**2 - 15*u + 12. Let k(o) = 6*a(o) + 7*b(o). Factor k(y).\nAnswer: 4*(y - 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 + -896 + (3 - -142)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k**2 - k**3 + 15*k**2 - 20*k**2 - 5. Calculate c(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 9. Let w be z(5). Solve -p - 9 = -w*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 5*g**7\/42 + 3*g**4\/4 + 4*g. What is the third derivative of n(a) wrt a?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36789*o + 43046*o - 287822 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/29, 16.6.\nAnswer: -0.1, -1\/29, 16.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/114 and -2\/33.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**43*(v**(-2\/7)*v*v)\/v**(-4) assuming v is positive.\nAnswer: v**(461\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, z: 2, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-412582)\/(-18) + 6\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 c when four letters picked without replacement from {w: 3, c: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/26 + (-2)\/13. Let x(v) = 3*v + 4. Calculate x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28761, -60557, -92353, -124149, -155945?\nAnswer: -187741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97718.41 nanometers?\nAnswer: 97.71841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y + 6. Let b(x) = x - 1. Suppose 0 = 5*n + d - 9, 0 = -3*n - 0*n + 2*d + 8. Determine n*a(w) + 11*b(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5031 and 86688?\nAnswer: 1126944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509646938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22930790 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/11, 0.4, -2\/11.\nAnswer: -3\/11, -2\/11, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 10:38 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*s = -3*c + 5, 0 = -5*c - 5*s + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/7 - 3247218*v**3 - 22730522*v**2\/7 + 3247218*v + 22730524\/7 = 0. What is v?\nAnswer: -11365262, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443 (base 10) to base 13.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/2 - 3*v + 187\/2 = 0 for v.\nAnswer: -17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/18, 530, -0.04 in increasing order.\nAnswer: -1\/2, -1\/18, -0.04, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let q be n(0). Let y(w) = w + w - w + q. Suppose -4*i + 2 = -6*i. What is y(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + w + 3356 = -4*w, -x = -w - 1120. Let q = 883922 + -17700851\/20. Let h = q + x. Find the common denominator of h and 7\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5933 and -61\/210098?\nAnswer: 3571666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b9ab9 - -306?\nAnswer: -5b97b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 346190, 692372, 1038554, 1384736, 1730918?\n\"Answer: 346182*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*b = 3, 0 = y + 3*b - 2*b - 3. Calculate the smallest common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 25560.\nAnswer: 1\/5112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -11.7. Let o = p - -0.3. Which is the second smallest value? (a) o (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/240)\/((-1440)\/200).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**2 - 51*i + 27 = 0.\nAnswer: -3, 9\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 2 + u)*(-5016*u + 1191*u + 1762*u).\nAnswer: -2063*u**2 - 4126*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (2805 + -2804 - (-1 + 2 + (5 - 1)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((17871\/11322)\/(-161))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2 - 11547*k - 7905 wrt k?\nAnswer: -2*k - 11547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 56*b - 66. Solve 7*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 2086 = 13597. Suppose 180 + 770*b**2 + r*b + 175*b**3 - 2074*b + 70*b**3 = 0. What is b?\nAnswer: -4, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -1)\/(0 + 1). Let v(c) = -c - 5. Let m be v(-2). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2754812 - 4731885 = 4*h, 3*d - 7486695 = 3*h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3082 - 2787. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let j be k(2). Let r(z) = -3 + 4*z + 1 + 1 - z**j - z. Determine r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 95 - 94 - u**3 - 43*u**3.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1634009, -1634022, -1634035, -1634048, -1634061, -1634074?\nAnswer: -1634087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -361, -1582, -3703, -6796, -10933, -16186?\n\"Answer: -12*q**3 - 378*q**2 - 3*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p + l = -77, p - 4*l = 71. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3614.8 + 3615. What is the biggest value in 19, 0, -3, j?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Let o be q(-5). Suppose 0 = -3*h + 3*n + 4 + 5, -o*h = -2*n - 10. What is the second derivative of 4*s - 2*s - 3*s + s**h wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, z: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 780174*a - 152167867569.\nAnswer: -(a + 390087)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and 101\/9062?\nAnswer: 36248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 38.08. Let k = 2.92 - 3. Let s = k - w. Which is the smallest value? (a) -1 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 5. Suppose -4*v + 16 = 36. Give t(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 522 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q = 47*q + 5, 11*q + 84 + 82 = -s - 26*q for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70082274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155640221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f - 331. Let q be a(0). Let t = q - -416. Let h(d) = 7*d + 2. What is the remainder when t is divided by h(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-2 + 3 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 1 = -d, -73*d = 3*u - 69*d + 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 2\/3 (b) -3 (c) -4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5 - 2.5. Let l = -18 - z. Let c = -32 + 159\/5. Put c, l, -1\/4, 4 in decreasing order.\nAnswer: 4, c, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {k: 7, y: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 2, r: 1, e: 2, w: 1}. What is prob of sequence ro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*g = -8163*g + 774642 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (32*(-3614)\/26688)\/((-1)\/18)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w - 325. Let h(x) = -24*x - 976. What is 7*c(d) - 2*h(d)?\nAnswer: -d - 323","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -77 + 3 + -11 + 25 + (-15 - 16)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, m: 11, s: 2, t: 2, f: 1}. What is prob of picking 1 s, 1 t, and 2 j?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 28 = 15*o. Calculate the common denominator of -16\/3 and o\/168 - 2\/((-44)\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/840 - p**7\/2520 + p**6\/720 - p**5\/120 + p**4\/12 + 2*p**2. Let i(v) be the second derivative of j(v). Determine i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13\/2 (b) 21 (c) -1\/4 (d) 9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrpccrkrrrfrj. What is prob of picking 1 k, 1 f, and 1 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 630*j**5 + j**3 - 4*j**2 + 1359429*j wrt j?\nAnswer: 12600*j**3 + 6*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -250d (base 16) in base 15?\nAnswer: -2c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1 - 8 + 0*r**3 - r**3 + 5*r**2. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - 2. Let v be x(-4). Let b be 4\/(12\/15) + v. Let t = -3 - -5. Solve b*l + t*l = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62*t**2 + 43*t**2 + 3315*t - 3272*t)*(t**2 + 4 - 4) + 4 - 4 - 2*t**4 as h*t**3 + u*t**2 + x*t + l*t**4 + z and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 + 3*c - 24. Calculate the lowest common multiple of 33 and d(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -0.50046.\nAnswer: 0.0300276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81762.43t to micrograms.\nAnswer: 81762430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19273507, 19273518, 19273537, 19273564, 19273599, 19273642, 19273693?\nAnswer: 19273752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8 and 6\/48*1 - (-1)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) + (sqrt(76)*3 - sqrt(76)) - sqrt(76))*-5 + sqrt(76) + -6*-3*sqrt(76))\/(3*(sqrt(48)\/sqrt(3)*2)\/sqrt(4)) + 5.\nAnswer: 5 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 4. Let z be v(5). Suppose -z - 7 = -2*n. Solve 10 = -n*g - g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0736 at most -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 + 25\/2*j**2 + 0*j**4 + 0*j**3 + 23*j - 9\/20*j**5. What is the derivative of f(b) wrt b?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjo when three letters picked without replacement from jhjhpjhjoobjhao.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2 - -3) + (-296)\/(-37). Sort 0, 4, z.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {x: 4, z: 1, y: 4, s: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/(128535\/(-38))*25\/(-10).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6836 - -10?\nAnswer: -6826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11756\/8817*(-7)\/((-154)\/24)\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 64, 3 in decreasing order.\nAnswer: 64, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 594 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and -279.3729.\nAnswer: -279.5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnvrpvaasrrp. What is prob of sequence sarv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 53, 163, 317?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -14*(4 - 9 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3697323 + -59.49959.\nAnswer: -56.1298577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 965 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 4, n: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*((-1)\/(-6) + 292\/(-24)). Let r(b) = -b**3 + b + 55. Let z be r(0). Let s = w - z. Solve 3*c - 6 = -2*v - s, -c - 3*v = 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*v + 89, i = -0*i + 5*v + 31. Suppose -i = 4*u - 8*u. Solve 7 = u*q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/28949120 and -37\/26054208.\nAnswer: 260542080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1 - 3 - (-20 - 5). What is the hundreds digit of f\/(-30) + 1707\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Suppose -a = -p*a. Determine c so that a*c + 1\/4 - 1\/4*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*h = 110, 5*q - 79*h + 81*h + 71 = 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c + 3. Let x(m) = -m + 1. Let v be 1560\/(-234)*36\/(-10). Suppose 2*b + 16 = 5*u, -2*b + v = 18*u - 13*u. What is b*x(a) - w(a)?\nAnswer: 10*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3505 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 26*l + 3 as z + j*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 11 (c) -14 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:52 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)*(v**(-5\/4)*v*v)\/v*v*(v\/v**(-9))**37)**22 assuming v is positive.\nAnswer: v**(211981\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0979 and -0.12.\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = x - 3, 2*t = -3*x - x + 6. Let q(i) = 5 - 6*i - 2*i**2 + 11*i + 3*i**x. Determine q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (105\/(-270))\/(35\/(-15)). Suppose -u = 17*u - 18. Put -0.3, g, 13, u in ascending order.\nAnswer: -0.3, g, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030522 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -1 - (67 + 11 + -92)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/(f\/(f*f*f*f**(-3)*f*f)))\/(((f**(6\/11)*f)\/f)\/f*f**(1\/5)\/f))\/(f\/(f\/(f**4\/f*f))*f\/(f\/(f\/f**(4\/5)*f)))**(-3\/5) assuming f is positive.\nAnswer: f**(378\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**7\/r*r)))**(-2\/3) assuming r is positive.\nAnswer: r**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/603 and -107\/1062.\nAnswer: 71154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 8*o**2 + 16*o. Let d be v(6). Suppose 2*n - a = 9, 0 = -4*n + 2*n + 4*a + d. Solve -n*b = -0*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 554\/40465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 28*h - 97*h**3 - 83*h**3.\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 2 - 12262*n**2 - 9.\nAnswer: -12262*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665367349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3*x - 957*j**3 + 37*j**2 + 92326838*j*x + 3*j + 36 wrt x?\nAnswer: 2*j**3 + 92326838*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + 8*m - 5. Let o be v(7). Suppose 0 = o*c - 13 - 5. Suppose -2*k = -58 + 58. Solve k = b - 4*b - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l*l**(-1\/4)*l)\/(l**(-3\/7)\/l*l\/(l\/((l\/(l**(-1\/5)\/l))\/l))) assuming l is positive.\nAnswer: l**(-283\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/10*(-4)\/(-16)*10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1634083 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**7)\/f)\/((f*f*f**8*f)\/f)*(f*f**(-1))**(-2\/111) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/693 - 4\/(-22). Which is the nearest to -1? (a) x (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(1 - 5 - -1)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 218*o. Let a(f) = 2*f. What is s(a(d))?\nAnswer: 436*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2 = 5*c. Let q(y) = -y + 4*y**c + 3*y**2 - 4*y**2. Suppose u - 31 = -17. Let j(d) = 10*d**2 - 3*d. Give u*q(r) - 4*j(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 10640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 11, 23, 33?\n\"Answer: -t**2 + 17*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -760905\nAnswer: 76090.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 12*x + 9 = 0. Suppose -2*g - x*j + 104 = 0, 4*j - 3 = -19. Suppose 3*i + g - 211 = 4*h, 4*h - i = -155. Are h and -39 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Let g(j) = 0 + 5 + 3 - j. Let y(f) = 1. Let u(b) = -g(b) + 6*y(b). What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8)*80\/(-72))\/1.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (43\/24983*83)\/(12\/(-1624))\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21791, 43670, 65539, 87398?\n\"Answer: -5*o**2 + 21894*o - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 879 + -874. Suppose l = 5*h - 3827, m*l - 14 = 1. What are the prime factors of h?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 14*g**3 + 37*g**2 - 37*g**2.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*f - 2*f. Let w be (24\/16 + -2)*8\/12*-9. Sort 0.1, 0.6, w, f in descending order.\nAnswer: w, 0.6, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33392094 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0566 - 499.3566. Round u to the nearest ten.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.4 times -3\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwah when four letters picked without replacement from {r: 3, m: 5, e: 1, a: 1, h: 2, w: 3}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2710947*p**2 - 2710949*p**2 + 308*p + 41*p.\nAnswer: -2*p**2 + 349*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24617, -24613, -24599, -24569, -24517, -24437, -24323?\n\"Answer: c**3 - c**2 - 24617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 373691 and 0.2.\nAnswer: 373691.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(78\/(-260)*-20)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g + 42. Suppose -3*c - 29 = 4*d + 18, -4*d = -4*c + 68. Is v(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/2)))**15\/(b**(-2)\/b*b\/(b*b\/b**(2\/13)))*((b\/(b*b**(-2\/5)*b)*b*b)**(-7\/4))**(-16) assuming b is positive.\nAnswer: b**(4621\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262*v**3 + 1280*v**3 - 70*v + 70*v + 1252*v**3 - 3799*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/42 and 163\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 673*b - 3 = -672*b, -29 = -2*m + 7*b + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27\/2 - 413\/30. Let t be 4\/6 - 34\/60. Let h = t + u. Sort -2, h, -3\/5.\nAnswer: -2, -3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q**3 + 0*q**4 + 7*q**2 + 0 - 11\/60*q**5 + 0*q - 1\/24*q**6. Find the third derivative of n(m) wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 2862 = c. Is c\/(-4)*(-40)\/12 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163380159.\nAnswer: 3, 71, 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25313476?\nAnswer: 2, 17, 37, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93909646 and -1.8.\nAnswer: -93909647.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3106432 + -5?\nAnswer: 3106424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - 4) + 1)\/(-1). Let n = -53\/170 - 3\/34. Let l be (10\/(-25))\/(2\/(-4)). Which is the closest to 0? (a) n (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 380646 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-300)\/(-45))\/((-3994)\/1332 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 - 14*z + 12. Let j = 113 + -35. Let w = 56 - j. Let m(l) = l**2 + l - 1. Let p(x) = w*m(x) - 2*y(x). Factor p(d).\nAnswer: -2*(d - 1)*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 7\/((-35)\/(-135)). Let h be (1*-1)\/(n\/(-6) - 5). Suppose 5*o - h*f - 9 = 0, 3 = 4*o - f - 0. Solve -s - 3 + 5 = o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7) + (-3 - (0 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*t, 5*m + 68116*t - 68114*t = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 1273, 2832, 5025, 7858, 11337, 15468?\nAnswer: 20257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 10, 5*o - b + 35 = 0. Let h(z) = -z**2 - 8*z - 5. What is h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*c**2 + 3971 wrt c.\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (0 - 3 - -1). Let h be 10*(2\/(-5) + b). Sort -3, h, 0.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -22. Let f = v + 24. Calculate the remainder when 34 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48252576 + 25*u**2 + 48252576.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-360))\/((-18)\/60).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*o + 6515*i**2 - 53*i*o + 44716011*o wrt i.\nAnswer: -2*i*o + 13030*i - 53*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-39)\/(-45)*3. Which is smaller: 2\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01829 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-216)\/21 + 2\/7. Let i = 314.9 + -312.9. Is i bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1383*t**2 - 773*t. Let y(w) = 3*w**2. Determine l(y(m)).\nAnswer: -12447*m**4 - 2319*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*j - 193. Let t = j - -47. Let y(m) = -7 - 5*m + m**3 + 16 - 5*m**2 - 3*m. Give y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3252130 rounded to the nearest ten thousand?\nAnswer: -3250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21814*t = -21856*t + 294 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 2. Let n be f(5). Suppose -4*x + 5*r + 25 = -9*x, 0 = n*x + r + 15. Put -2, -4, x in increasing order.\nAnswer: x, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3476*p - 20627. Give q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(1\/3)))*q)\/q)\/((q**(-2\/19)\/q)\/q)*q**(1\/2)*(((q\/q**(-5\/6))\/q*q)\/q)\/q assuming q is positive.\nAnswer: q**(59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15285 minus -771999886?\nAnswer: 771999885.84715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 1 + 0*l**3 - l**3 + (-l**3 - 3*l**3 + 3*l**3)*(10 - 6 - 3) to the form t*l**3 + g*l**2 + x + y*l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 - -0.21. Let g = -0.1 + s. Are g and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 85*w**2 - 4*w - 3. Let m be c(-1). Suppose -d - 38 = m. Let h = -120 - d. Solve h*z - 5*l - 32 = 0, z - 24 = -3*z + 3*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let l(d) be the second derivative of -1\/3*d**3 + 0*d**2 + r + 0*d**4 - 1\/15*d**6 - 2*d + 0*d**5. Find the second derivative of l(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2)*(2*60\/20 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3242.7 + -3243. Which is the third biggest value? (a) -2\/47 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*x - 5*z, -4*x - 24 = -5*z - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4\/23 (c) 87 (d) 19 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {z: 1, j: 6, g: 5, w: 1, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2)*-1 - sqrt(2)))*-1.\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86.6 and 0.092.\nAnswer: 7.9672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/19 + 10294*t - 391164\/19.\nAnswer: -2*(t - 97791)*(t - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13*-2*4 - 4. Let f = k - 15. Let b(c) = -c**2 + 10*c - 2. What is the remainder when f is divided by b(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 7:59 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -21) + (5 - 112) - (4 + 7 + -5)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34797643 and -4.\nAnswer: -139190572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0027502 and -5?\nAnswer: 0.013751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1\/748908, 0.\nAnswer: -1\/748908, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from gggccgcg.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-41720)\/596*((-6)\/(-15))\/(8\/10)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48061 - -100276. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2 + 3*s + 2. Let t(m) = m**2 + m - 1. Determine j(v) - t(v).\nAnswer: 5*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + -4. Let q = y + -4.9. Do 0.1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280284 is divided by 7487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1\/15, 3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -122*s**3\/3 - 151*s**2\/2 - 9. What is the second derivative of t(n) wrt n?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 14*w**4 + 73*w**3 + 168*w**2 + 144*w.\nAnswer: w*(w + 3)**2*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -522000, -522002, -522006, -522012, -522020, -522030?\n\"Answer: -v**2 + v - 522000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wds when three letters picked without replacement from owddwwswdwowwdooodw.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 12. Suppose a = 2*r + 2*u - 2, u + 2 = 2*r. Is (-333)\/(-6) + r\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26.99 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/56 - (0\/23 + (-2)\/(-14))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*b = -95*b + f + 25, 45 = 3*b - 3*f. Suppose 5*h = b*q - 7*q + 25, -2*q = 10. Let w = -0.2 - -0.3. Sort h, 1.7, w, -1\/3 in ascending order.\nAnswer: -1\/3, w, 1.7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/(-4))\/(33\/(-127578))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0c03a3 - 9?\nAnswer: -b0c03ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 48. Suppose -3*p = 2*p - 40. What is the remainder when i is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -727.3 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2124638773?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.19, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 + 3*q**2\/2 + 19*q - 1665. What is p(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13483451 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 303, 1012, 2389, 4656, 8035, 12748?\n\"Answer: 37*l**3 + l**2 + l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-1) - 12\/3. Suppose 0*i - 2*w = m*i + 10, 2*w + 6 = 0. Let y be (-2)\/(-8)*i*-2. Solve -y + 10 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 115*b**2 + 235*b + 1017. Calculate d(-113).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1235 + 1285. What is the greatest common factor of i and 600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4311 - 64?\nAnswer: 4236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 + 9. Let h be y(7). Suppose 1060 = h*g - 155. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 3. What is the highest common factor of j and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3230 or -3287?\nAnswer: -3287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479014\/15 + 3093473657\/96870. What is the common denominator of g and 95\/4?\nAnswer: 12916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 607*a**2 + 46101*a + 73. Determine p(89).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 82002 and 6.\nAnswer: 82008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.49*55.\nAnswer: -191.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from belggbleezleeleesbes. What is prob of picking 1 b and 1 z?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 14. Let q = n - 5. Suppose -5*f - 17 + 62 = q. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*c**3*h**3 - 5348*c**2*h**3 - 11685*c*h**3 + 11*c wrt c.\nAnswer: 90*c*h**3 - 10696*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y - 4. Suppose 20*t - 8*t - 24 = 0. Let a(w) = w**2 + w + 1. Determine t*l(q) + 8*a(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 30223794 to the nearest 10000.\nAnswer: 30220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5336654 is divided by 205255.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 3*z**6\/20 + 17*z**5\/60 - 13*z**2. Find the third derivative of i(w) wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31, -69, -119, -181, -255?\n\"Answer: -6*f**2 - 20*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -469?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 242 - 98 = 0. Solve c*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.37 + -2.13. Let s = 22.5 + z. What is the fourth biggest value in s, 1\/5, 4\/3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 505757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/11 in 4\/9, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -12, -0.5, -25812?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28024 + -27974. Solve -q*s = s + 357 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d - 2*d + 6*d)*(5*d - 3*d - 3*d)*(-5 + 3*d + 5).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 3*i**3 - 6*i**2 + 23*i - 9*i**2 - i**4 + 26*i**2 - 6*i**2 - 1 to the form q + n*i**4 + x*i + y*i**2 + o*i**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*w - 682 - 609, -1688 = -4*w - 3*c. Suppose -w + 1325 = 3*f. Suppose n + 4*n - f = 0. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 1, k: 4, j: 5, a: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c + 2 + 0*c - 926 + 926 - 51*c + (3 - 1 + 1)*(0*c - 4*c + 5*c) + 1 - 1 + 2*c to the form x + n*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/26, 2\/11 in ascending order.\nAnswer: -1\/26, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(-1 + sqrt(98) + 2) - -3*((-5 + (sqrt(98) - (sqrt(98) + -1)) - sqrt(98)) + sqrt(98) + sqrt(98)))**2.\nAnswer: -784*sqrt(2) + 6319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 839, -5, -2\/15, 1\/2, -1\/10?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-6)\/45)*(-94)\/(-3). Suppose -g + 11 - u = -2*y, 0 = 3*y + 3*g - 336. Calculate the greatest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*i**3*s**3 - 3*i**3*s - 8*i**2*s**3 - 2*i**2*s - 1211*i**2 + s**3 wrt s?\nAnswer: 444*i**3*s - 48*i**2*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 14*q**2 + 35*q - 48. Let s be b(16). Solve s = 15*f - 17*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 4bba3ba?\nAnswer: 4bba3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 + 3*z**3 - 16*z**2 + 6*z**2 + 1 - 2*z**4 + 7*z**3 - 2*z to i*z**4 + w*z**2 + b*z + p + u*z**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/120 - 17*i**5\/20 + 103*i**4\/24 - i**3\/3 - i**2 + 58. What is the second derivative of a(l) wrt l?\nAnswer: 6*l - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 283310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:08 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0 + 0*b + 2*b**2 - 10\/3*b**3 - 11\/24*b**4. Let i(v) = 4*v + 7. Determine -6*a(h) - 17*i(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 148, 154, 160, 166, 172?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/3 + 1010*k**3 - 97804*k**2\/3 - 4040*k + 130416 = 0. What is k?\nAnswer: -2, 2, 33, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 820 = 36*l. Let h(t) = -t**2 - 28*t - 156. Let w be h(l). Solve w*c = -63 + 59 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1888750, 7555017, 16998800, 30220105, 47218938, 67995305, 92549212?\nAnswer: 120880665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3*78\/91\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) - 1*sqrt(11)))**2 - (sqrt(176))**2*-6.\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1 - t**2 - 1 - 4 + 3. Let z(f) be the first derivative of f**3\/3 - f - 5. Determine r(x) - z(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**2 + 0*g**5 + 0*g**3 - 2*g - 1\/15*g**6 + 0 + 0*g**4. Find the first derivative of s(w) wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 2*h**2 + 2*h - 2. Let l be i(-2). Let z = 24 + l. Suppose 0 = -4*x + 2*x + 200. What is the greatest common divisor of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118390941 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/77))**(-19))**(-4\/5) assuming k is positive.\nAnswer: k**(6004\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4313 divide 862254351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 71750 = -f + 71754, 2*f + 2 = 5*v for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390660518.\nAnswer: 2, 67, 241, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 2. Suppose 0 = -6*b - 58 - 62. Let t be (12 - 0)*b\/(-6). Suppose 57*s - t = 52*s. What is q(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45823.\nAnswer: 45823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/24 + 10)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6 minus 5369425807680?\nAnswer: -5369425807704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-111660)\/(-126) - 108\/81. Which is smaller: t or 885?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*x + 332*x = 1083*x + 36992 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209899421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/2 + 6*d + 63\/2 = 0. What is d?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -17*f + 152. Let m(i) = -i. Determine m(a(j)).\nAnswer: 17*j - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/24 - m**3\/6 - 3*m**2. Let p(k) = k - 3. Let w(h) = 2*d(h) - p(h). Let o be w(-1). Solve 2*z + o = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, 12, 15 in increasing order.\nAnswer: -5, -2, 5, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -526.9 + 562. Let k = 0.1 - o. Let s = 34.6 + k. What is the nearest to -1\/3 in 3\/2, s, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 8*w**2 - 2*w + 3. Let z(n) = -n**2 + 3*n. Let o be z(2). Suppose s = -10 + o. Is 11 a factor of h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/((n\/(n*n**3\/n*n))\/n))\/(n**3*n\/(n**(6\/11)\/n)) assuming n is positive.\nAnswer: n**(-49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/315 - x**5\/630 + x**4\/84 + 23*x**2. Let j(s) = 0. What is s?\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(2*sqrt(96) + sqrt(96)))\/((sqrt(96)*5)\/sqrt(12)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from uwguwwwu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 5. Let b be 1\/2 + (-63)\/14. Let r(n) = -n + 6. What is b*w(d) + 3*r(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6524*x - 37753 = 157967 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-2) - (-2855 - 19) - 4. Let x = 5698 - u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2646920 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-14)*104\/(-130).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = 4*u - 32, -20 = -4*t. Suppose u*k = -4*g + 5200012, -3*k = -5*g + 2*k + 6499980. Round g to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + q - 3611 + 23053 = 0, 2*w - 12980 = -4*q. Is 154 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136817 and 3102.\nAnswer: 9029922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -6 (b) -0.01 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346576145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156*u - 183*u + 282*u)*(32*u**3 + 14*u**2 - 67*u**3 + 27*u**3) to the form g*u**4 + y + v*u**2 + q*u**3 + x*u and give q.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/2213 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 68. Let c(k) be the first derivative of -1\/2*k**p - k**3 + 0*k + 1. Find the second derivative of c(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -69. Suppose 0 = k*t - 10*t + 280. Suppose t - 5 = 5*s. What is the remainder when 106 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -577 - 743. Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Let w = 0 + d. Suppose -5*h - w*i + 2*i = -85, 3*h - 2*i - 51 = 0. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 1. Let z(r) = 3*r**2 - 6*r + 7. Let o(l) = -4*d(l) - z(l). Determine o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*(-2)\/4. Let s = 33 - 33. Which is the closest to -2\/7? (a) i (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*m - 17 = 6*y, 5*y = -4*m - 13. Which is the smallest value? (a) y (b) 4\/3 (c) -2\/3 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -92*z - 720. Is a(-26) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-11180097.\nAnswer: -89440776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.8 - -20.911. Let r = 3.111 - t. Which is the biggest value? (a) 0.1 (b) -1 (c) r (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15263887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -72. Let o = n - 35. What is the remainder when 74 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.05 + -30.98. Let j = p + -8.15. Let o = -19 - j. Which is the third smallest value? (a) -2\/7 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6) + (-1)\/(-3). Let k = 69 + -72. Sort k, 5, n, 3 in increasing order.\nAnswer: k, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -35*p**2 + 1705*p + 490 = 0?\nAnswer: -2\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 353291917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27088, 54204, 81320, 108436, 135552?\n\"Answer: 27116*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.02051 litres in millilitres?\nAnswer: 24020.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -10.\nAnswer: -10, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -236, -354, -472?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 6*r - 4. Let p be l(5). Suppose -z = -p - 0. Let d(v) = -2*v**2 - 2*v + 1. Calculate d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4\/4 + 3*o**3 + o**2\/2 - 6*o + 6. Let b be g(9). Factor -3*c**2 + 4*c - c**4 + 9*c**b - 3*c - 6*c**3.\nAnswer: -c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/30760 and -41\/192?\nAnswer: 738240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1\/((-1)\/(-2))). Let b = 1.40787 + 14.59213. What is the second biggest value in p, b, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*sqrt(28)\/sqrt(4) - 4*(sqrt(7) + sqrt(112))) + (sqrt(616)\/(sqrt(11) + sqrt(99)))\/(sqrt(56)\/sqrt(28) + sqrt(8)).\nAnswer: -149*sqrt(7)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*c + 6, 4*r - 2 - 6 = -c. Suppose -4 = r*l + 2*d - 20, -3*l = 2*d - 28. Calculate the lowest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 28667*y - 28669*y = 27 + 7, 0 = 4*l + 2*y - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11682*k**3 + 63*k**2 + 34*k.\nAnswer: -70092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27616517 to the power of 1\/2, to the nearest integer?\nAnswer: 5255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from httttjjodttdototbt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*c*d**3*u**2 + 2*c*d**3*u - 2*c*d*u**2 - 15*c - 3*d**3*u**2 - d**2*u - 7*d**2 wrt d?\nAnswer: 192*c*u**2 + 12*c*u - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -204777 (base 8) to base 3\nAnswer: -10110102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32146312\/421 + 76357. Let o = 38041\/7578 - t. Find the common denominator of o and 59\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -2*y + 17, -12*h - 21 = -17*h + 3*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -33. Let s be l*10\/(-4)*(-2)\/2. Let a = -5 - -6. Sort -1\/2, a, s.\nAnswer: -1\/2, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 5 = 2*a - l, -4*l + 7 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24))\/((-1)\/(-2)*-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 8.5 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*11309\nAnswer: -3392.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -102.12, 3\/4, -1.28, 24 in ascending order.\nAnswer: -102.12, -1.28, -1\/3, 3\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1313, 2655, 3997, 5339, 6681, 8023?\n\"Answer: 1342*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5*(-6)\/(-15))\/2. Let a be 2 + 1*(2 - 3). Let i = 0.3 + -1.3. What is the nearest to a in i, b, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most as big as -0.36868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (328\/(-20))\/(-60*76\/7600*1\/(-3)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t**3 + t**3)*(4*t - 2*t + t) + 2 + 2*t**4 - 2.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.96 + -0.04. Let y = -9.99 - x. Let c = 0.41 - y. Round c to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 4. Let g(i) = -i**3 + 4*i**2 - i - 4. Let q be g(y). Suppose -q = -h - h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33969*p + 33971*p = 1972. What are the prime factors of p?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 76, 56, 8?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*l**3 - 10*l - 8256 with respect to l.\nAnswer: -96*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(36)\/(sqrt(12) - (sqrt(24)\/sqrt(2) + sqrt(12))))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/5 - 638*r + 1775968\/5 = 0 for r.\nAnswer: -2032, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 797\/203 - 118\/29. Is j smaller than 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -402.29091 and -10.\nAnswer: 4022.9091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-288)\/(-5))\/(-1*(-16)\/(-4000)). What is p rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2)\/((sqrt(9) + 2*sqrt(9) + sqrt(9))*-6) + (sqrt(648)*-1)\/(sqrt(324)\/sqrt(6)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 23. Let n = l + -14. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {z: 1, b: 2, y: 4, t: 1, u: 2, d: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - -2. Suppose -4*z - 30 = -10. Let h be (-1)\/z + 80\/(-150). Sort h, -4, c in decreasing order.\nAnswer: c, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-1)\/6)\/(-1)*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 230\/37121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 838\nAnswer: 1\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (10 - (-450)\/(-40)) + 645\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -17*l + 12. Suppose -l*a + 8*a - 35 = 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413633.08 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)\/z)\/z*z**(2\/9))\/((z\/(z**(1\/4)*z))\/z)**(-27) assuming z is positive.\nAnswer: z**(-1423\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(119) + 2*sqrt(119))\/sqrt(7) - sqrt(17)) + -4.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 932400530 to the power of 1\/2, to the nearest integer?\nAnswer: 30535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -64, 33, 5, 0, -7 in decreasing order.\nAnswer: 33, 5, 1, 0, -7, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/12 + 11*d**3\/6 + 3*d**2 - 58*d. What is the hundreds digit of m(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340310880 divided by -330720.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 117, 129, 145, 165, 189?\n\"Answer: 2*t**2 + 6*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/15 + 2345396*v**3\/5 - 6188584166186*v**2\/15 + 53633206997032*v\/5 - 1045839807246728\/15 = 0 for v.\nAnswer: 13, 1759034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77265 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - j**2 + 4*j**4 + 5 + j - 10*j**4 as b + y*j**2 + z*j**4 + x*j**3 + t*j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232540, 465290, 698042, 930796, 1163552, 1396310, 1629070?\nAnswer: 1861832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 + 10133973*a + 263485326 = 0.\nAnswer: -26, 3378017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let p(t) = -456*t + 6. What is s(p(h))?\nAnswer: 415872*h**2 - 10944*h + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/7, 523, -2\/15, 0.5, -8, 13\/3, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 190440*m - 19193636.\nAnswer: -4*(m + 101)*(m + 47509)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (1 + -3)) + 6. Suppose -i*t + 1 = -3. Let c(b) = -b + 10. Let u be c(7). Calculate the highest common factor of u and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w**3 + 98*w**2 - 292*w + 65. What is m(7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -235, 1\/3, 2\/11, 46, 0.1, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3124 + 3131. Let g = -2 - -6. Which is the second smallest value? (a) w (b) 5 (c) g (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 178316*i - 178280*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -7*q**5\/50 - 71*q**4\/30 - 2*q**3\/3 + 840*q. Solve u(h) = 0 for h.\nAnswer: -10, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 14611520?\nAnswer: 14611520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**2 - 11*b + 13*b**2 + 6*b + 5*b.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqw when three letters picked without replacement from {q: 1, w: 1, y: 2, t: 4, g: 7}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*5*20*8\/100. Let g be (-4 - (-252)\/49)\/(y\/(-28)). Solve -1 = -g*a - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(68\/(-306))\/(2\/3). Let m be (-5 - (-7 - -2))\/l. Find a such that 0*a**2 + m*a - 1\/2*a**3 - 1\/2*a**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 30. Solve 2*r = s*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 65, -4, 2\/9?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -418*f - 6760. Calculate h(-16).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 9*q**2 - q + 13. Let c be t(9). Let g be (c - 8 - -10) + -2. Solve g*s - 1 = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0086505 - 5.9091905. Let x = -123.1 + 129. Let t = x + c. What is t rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 35*o = -213. Solve 3*i + 6*i**3 - 68*i**4 - i**3 + o*i**4 - 11*i**2 = 0.\nAnswer: -3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine sixteenths of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 2}. Give prob of sequence ot.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11706 < 0.1602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*s*s)\/s**(-4\/3) assuming s is positive.\nAnswer: s**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172630561 is divided by 566.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + -11)*(14\/4 - 2)\/3. Let u(b) be the second derivative of -1\/14*b**4 + a + 1\/14*b**3 + 3\/7*b**2 - 3*b - 3\/140*b**5. Factor u(r).\nAnswer: -3*(r - 1)*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.963, 2, 0.185 in descending order.\nAnswer: 2, 0.185, -3.963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 + 95.6. Let z = k + 16.4. What is the fourth smallest value in -3, z, -5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 24. Let q be y(-9). Suppose 165 = b - q. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -269 + 472. What are the prime factors of i?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10404982 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 6. Let a(w) = -w - 1. Let z(r) = 3*a(r) - f(r). Let p be z(0). Suppose p*c - 30 = 5*c. Which is smaller: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 4 = 0. Let a(g) be the third derivative of 0*g + 2*g**h + 1\/16*g**4 - 1\/120*g**5 - 1\/6*g**3 + 0. Find t such that a(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 3 = 0, 24 = i + 3*p. Suppose 2*h - 5*m = i, -2*h + m + 4 + 5 = 0. Suppose h*v = -2*v - 25, -g - 1 = v. Put -1, 0, g, 2 in descending order.\nAnswer: g, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.503 - -0.103. What is the closest to 0 in 0.5, 0.21, j?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*l - 2 - 0, -4*w + 4 = -l. Which is bigger: w or -0.7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - 3. Let z = y + 17. Solve -z*c - c + 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4217, 8444, 12675, 16910, 21149?\nAnswer: 25392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -232120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Suppose 5*r + 32 = -i. Find the common denominator of 54\/7 and -52*((-126)\/80)\/r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + k + 73, -i - k = 2*k - 33. Suppose 0 = -5*w - 11 + i. What is the third derivative of 4*b**3 - w*b**3 + 2*b**2 + 3*b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - 33. Let c = -183 - r. Let x = c - -97. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554489427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - -34. Let r = q - 65. Suppose 2*s - h + 1125 = 7041, -r*s + 3*h + 5912 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -138. Let z(w) = -65*w**3 + 6*w**2 - 3. Is z(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3445483375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 1 - 1\/1)\/((-8)\/(-20152)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2\/13 (c) 0 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-5)*(-12)\/(12\/(-5)). What is the common denominator of 49\/8 and k + 1405\/(-450) - 2\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 5. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -472*n**3 + 100*n**2 + 952*n**3 - 485*n**3 + 345*n = 0. What is n?\nAnswer: -3, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827590 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*a = -488*a + 795*a - 4089 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/3 - 740*n**2\/3 + 10654*n\/3 - 12544 = 0.\nAnswer: -384, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h + 997 - 997 to m*h + z and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 + 12\/(-1). Let g(d) = 498*d**2 - 6*d - 20. Let q be g(f). What is q rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*w - 9, 3*h = -w + 18. Let f(z) = -5*z + 1. Determine f(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 2*w**2 + w + (3 - 3 + 2)*(2*w**2 + w**2 - w**2) + (0*w + 0*w + 2*w)*(3697 - 78*w - 3697) to k + h*w**2 + u*w and give h.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 156146264446.61 + -1\nAnswer: 156146264445.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 31301?\nAnswer: 31232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 4*t + 37. Let l be v(-8). Find the third derivative of -22*c**6 + 16*c - 22*c**2 + l*c**6 - 16*c wrt c.\nAnswer: -2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*c - 492 - 702 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -770\/3, 61.7, 3\/2 in ascending order.\nAnswer: -770\/3, 3\/2, 61.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*l**2 - 78 + l**2 - 2*l**3 + 0*l**3 - 2*l**2 with respect to l.\nAnswer: -6*l**2 + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 11. Suppose 0 = 5*c - 39 + 14. What is the greatest common divisor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. Let r(g) = -g**2 - g + 40. Let k(y) = m(y) - r(y). Suppose 0 = z + 2, -5*w - 4*z = 32 + 26. What is the units digit of k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -7*s**4\/24 + s**3\/6 + s**2. Let p(j) = j**2 - 3*j. Suppose 4*n - 5*t = 3, 3 = 2*n - t - 0*t. Let m be p(n). What is q(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 13*z**2. Let a(d) be the third derivative of d**4\/12 + d**2. What is a(t(x))?\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802919.8 weeks to minutes.\nAnswer: 8093431584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2 + 2*i**2 + 5*i**4 + 176 + 43 + 29 - 5*i**2 wrt i.\nAnswer: 20*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -4.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**5 - 6019*t**2 - 4754*t - 2?\nAnswer: -60*t**3 - 12038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddudo. What is prob of sequence od?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 685 + -681. Suppose -2*z - 13*m = -12*m - 3224, l*m = 5*z - 8073. List the prime factors of z.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9032 in -3\/5, -0.08, -2\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342\/1444*40\/(-90)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfu when three letters picked without replacement from {v: 4, f: 5, d: 6, u: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7120691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 37*d**2 + 92*d + 93. What is v(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/57629?\nAnswer: 1\/57629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1569 + 3.8431. Sort -7\/6, 0.4, 1\/7, a.\nAnswer: -7\/6, 1\/7, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 100 = -9*m. Calculate the common denominator of 55\/1222 and m.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110200012102 (base 3) in base 4?\nAnswer: -330321320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7111, -7, 21, -1 in ascending order.\nAnswer: -7111, -7, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/54*35*(-204)\/(-15470).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w = -5*s + 12, 4*w = 4*s - 24. Suppose 0 = 2*i - 3*a + 8, 0 = -i + 3*a - 2 - 2. Let c = s + i. Put c, -4, 2 in ascending order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(13))*3*5)**2 - (-6*(2 + sqrt(13))*-4)**2.\nAnswer: -2304*sqrt(13) - 6867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 2.1. Which is the closest to -1\/4? (a) 0.1 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2. Let y(q) = 2*q**3 - q**2 + 3 + 0*q**3 - 3*q**3. What is -3*r(o) - 2*y(o)?\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 82?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 2*t + 3. Let o = -35 + 31. Let j(c) = -4*c**2 + c - 3. Let u(s) = o*j(s) - 3*g(s). Give u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -374 and 891.\nAnswer: -333234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2*(8 - 4). Let l = 36 - x. Suppose 0 = 4*r - 6 - 10. Calculate the greatest common factor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244419*m**3 - 6354888*m**2 - 13687620*m - 336 = 0.\nAnswer: -2, -2\/81473, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - 4\/(-20) - 140180\/(-100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*j*s - 8*g**3*s**2 - 4317*g**3 + 2*g**2*j*s - 65*g*j*s**2 + 3*j*s**2 wrt s.\nAnswer: -16*g**3 - 130*g*j + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 2*x + 2*x - 4*x. Let d(c) be the third derivative of 0*c**3 + 0*c**4 + 1\/60*c**5 + 0*c + 0 - c**2. What is l(d(m))?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -1041\/7. Let m = -1 - 2. Let g = m + 3.1. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(4 + (sqrt(80) - -4*((sqrt(80)*1 - sqrt(80)) + sqrt(80))))**2 + 2.\nAnswer: 960*sqrt(5) + 12098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1656 + -1650.535. Let f = -0.065 + l. Round f to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 - 3*a**2 + 3. Let o(z) = 15*z**3 - 5*z**2 + 5. Determine 3*o(q) - 5*w(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) - sqrt(117)*1))\/sqrt(9) + ((4*sqrt(117)*-1)\/sqrt(9))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2875 + -2870. Which is the fourth smallest value? (a) -2\/3 (b) -0.5 (c) r (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6 - 47*x + 3*x**2 - 54*x - 47*x - 46*x + 200*x. Let d(p) = 5*p**2 + 11*p + 11. What is -6*d(q) + 11*r(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 301.000608 - 301. Round t to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*h + 24, -h + 24 = 3*i + i. Let d(n) = n - 5. Let p be d(i). Suppose 3*m - 13 = -p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 16. Suppose -35*o + 33*o + 12 = a, -11 = -o - 3*a. Sort v, o, -1 in increasing order.\nAnswer: -1, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-6)*2)\/((-2)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*z - 2*a, 0 = -2*z - 4*a + 24 - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:17 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220 (base 4) in base 16?\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 2\/((-6)\/45). Let p = u - 12. Which is bigger: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -12056822\nAnswer: -45\/12056822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(76) + 1)*4 - sqrt(76)) + sqrt(76).\nAnswer: 1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t**2 + 0)*((5*t + 0*t - t)*(-t + 0*t + 0*t) - 2*t - t**2 + 2*t).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31693 plus -0.16182?\nAnswer: 31692.83818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205010120 divided by 4?\nAnswer: 51252530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8400404 millennia in decades?\nAnswer: 84.00404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 159942210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from ddqdqqdqqdqqq?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 616 + -c85d?\nAnswer: -c247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -2. What is the closest to i in 3\/4, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.98. Let w be -10 + 3 + (-19 + -3)*40\/(-80). What is the third biggest value in -0.6, i, 0.1, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20424 is divided by 4949.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiaytlyutyaayli. What is prob of picking 1 y and 1 t?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, o: 6, m: 3}. Give prob of picking 1 o, 1 n, and 1 m.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(-73 + 140 + 126 - 6).\nAnswer: -374*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 2 = 9*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 6:37 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.84225 centuries in years?\nAnswer: 3884.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1217822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j - 6. Let i(k) = 4*k**2 + 22*k - 32. Let n(o) = -3*i(o) + 14*v(o). What is h in n(h) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/600 - k**5\/50 - 3*k**4\/40 + 2*k**3\/3 + 3*k. Let c(s) be the second derivative of w(s). Factor c(t).\nAnswer: -3*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 5, 521, -5, 1 in decreasing order.\nAnswer: 521, 5, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 16*x + 12*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -2718\/5?\nAnswer: -2718\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssa when three letters picked without replacement from eeseizeaideeezeiese?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgwqrlg. Give prob of picking 1 q, 1 z, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8327565060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36b06 (base 13) in base 11?\nAnswer: 69753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 174237?\nAnswer: -28\/24891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**3 + 9*f**2 - 5*f + 2. Let q(m) = 22*m**3 - 28*m**2 + 15*m - 6. Determine -7*p(s) - 2*q(s).\nAnswer: 5*s**3 - 7*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2825 divided by 565.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5 = 5*o, 13*o - 4 = 5*t + 17*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 10, -3*j - 3*i = j - 70243. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4 + 3287*c**3 - 3290*c**2 - 6576*c = 0?\nAnswer: -3288, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 1715*u**2 + 51770*u + 234840.\nAnswer: 5*(u - 309)*(u - 38)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -298, -450, -602, -754, -906?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 564, 558, 540, 504, 444, 354?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995728680 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-826)\/35 + 24)\/(396\/135)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in 8\/3, -3\/4, 3\/5, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1020211210200 (base 3) to base 2\nAnswer: 10100010101000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153008*g**2 - 155138*g**2 + 305153*g**2.\nAnswer: -2993*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-9) - -3 - 7\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = j + 101, j + 5 + 0 = 0. Suppose 5*m - d - 1 = 0. Solve -m*x + 4 = -3*c - 11, 0 = x - 4*c - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - -1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-14)*d)**(-13)*(d\/(d\/((d*d*d\/((d\/d**(-30))\/d*d))\/d)))\/(d\/d**(8\/9)*d))**18 assuming d is positive.\nAnswer: d**(-4520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21617829 divided by 617\nAnswer: -35037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-864)\/(-126))\/(14 - 13))\/((-4)\/(-14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1110?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 6 + -8 + 2*3*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(432) + 2)*-3)**2 + -3 - (5 + 5 + (sqrt(243) - (sqrt(243) + (sqrt(243) + sqrt(243) + -2 - sqrt(243) - sqrt(243))**2)) + sqrt(243))*-1.\nAnswer: 441*sqrt(3) + 3927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89170710 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**2 - 70*q**5 - q - 52*q**5 + 64*q**5 wrt q?\nAnswer: -3480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -5, 101, 4.\nAnswer: -47, -5, 4, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4360 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1391726*q**2 - 484831 wrt q.\nAnswer: -2783452*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8 - (13 + 0\/7 + (-724)\/8).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 41 = 10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*3)**2 - sqrt(5) - sqrt(5)) + sqrt(80)*3 - (-1*(sqrt(125) - (sqrt(125)*-2 - sqrt(125))))**2*5.\nAnswer: -4555 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j = -49*j - 66. Calculate the smallest common multiple of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 - 3*w**3 - 6*w**2 + 13*w - 904. Calculate s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22473 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65490 in 1, -0.56, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.80894ng in milligrams?\nAnswer: 0.00003880894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 60311.66 grams?\nAnswer: 0.06031166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + ((-1120)\/(-10))\/(-8). Which is smaller: v or -63\/2?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.3 - -64.5. Which is the closest to 2? (a) 13 (b) -3 (c) u (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-280)\/(-6))\/((-22)\/(-33)). Suppose -2*v = 12*v + i. Let w(u) = 2*u**2 - 5*u - 22. Is w(v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -285, -254, -221, -192?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 561 - -5458. List the prime factors of i.\nAnswer: 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -24, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 69*y + 1. Let h(k) = -2*k**2 - 3851*k - 1. Give v(h(t)).\nAnswer: -138*t**2 - 265719*t - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d - 2, -3*s - 4*d + 212 = 0. Let q = s - 48. What is q rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -470\/7, 0, 2\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ffcefecegeg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/24*(-1 - -2). What is the third smallest value in -2, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * 2594.\nAnswer: -6485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 422. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 8*v + 36. Let o be i(0). Suppose 0 = 16*z - 25*z + o. Put -23, z, 5, -5 in descending order.\nAnswer: 5, z, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13)*m*m**(-9\/8)*m\/m**(-2\/11)*m**(-3))**(-27\/7) assuming m is positive.\nAnswer: m**(35505\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 31?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7599.584l to millilitres.\nAnswer: 7599584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1249 + 3*x**3 + 2419*x**2 + 2*x - 2502 + 1253.\nAnswer: 3*x**3 + 2419*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)**14\/((k\/(k**(-2\/9)\/k))\/k)**(-1\/47))\/(k*(k\/k**7)\/k*k**(2\/3)*k\/k**(4\/3)*k**(1\/8)) assuming k is positive.\nAnswer: k**(-75911\/3384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2816*y - 3994 - 61060 = -141*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) - (-4)\/18. Let i(w) = -8 - w**3 - 4*w**2 + 3*w**2 + 53 - w + 0*w**2. What is the remainder when i(k) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:09 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*z + 15, -2*v + 3 = -z - 0*z. Is (v\/9 - 1)*6594\/(-28) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 8*z - 12*z. Let p(v) = -v**3 - 9*v**2 - 9*v - 3. Let r be p(-9). Let w = r + -56. What is the lowest common multiple of w and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*t**4 + 2*t + 2*t**3 - 132*t**4 + t**3 + 3 + 5*t**2 - 6*t**3 in the form j*t + b*t**3 + n*t**4 + d + i*t**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 369 = 345. Let k(h) = -5*h - 1. Let b(y) = 4*y + 2. Give g*k(t) + 4*b(t).\nAnswer: t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-424)\/(-12) + 4\/6. Suppose -55*b = -83*b + 952. Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-5) - (-7)\/(-35). Suppose -y - 10 = -3*y + g*c, 3*y = -3*c - 12. Let f(q) = -10*q**3 - 1. Determine f(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54997.63um in meters?\nAnswer: 0.05499763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Let l be 6*(-3 + 9\/b). Let q = 0 + l. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1406 by -1.\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/5 - 49849*n**2\/5 - 16616*n\/5.\nAnswer: -n*(n + 16616)*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18816 = -563*r + 675*r. Calculate the highest common factor of 25032 and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 137 (b) 0 (c) -5 (d) -1\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*p + 0*p = 7, -3*b = 2*p - 18. Suppose 3*a = -5*q - 0*a + 15, 4*a = 0. Solve r - b*v + q = 0, -5*v + 26 + 4 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.08. Let f = -5.02 + k. Let q = -1.569 + 1.869. What is the smallest value in q, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -30630*g + 275675. Give h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, v: 15}. Give prob of picking 2 v and 1 l.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 7*b + 2. Let w be l(4). Let r be 4\/(-10) - 1644\/w. Let p = -67 + r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 94669?\nAnswer: 568014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114223*a - 12*a**3 + 10*a**3 - 114227*a + 228450*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c)*(-5*c - c + 3*c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjaajjjj. What is prob of sequence jjja?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-8) - 1)*10332\/12915.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43728 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.003 + -1.0054. Let i = -1 + l. Round i to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2\/2 - 174. Let h(s) = -s**2 + 159. Calculate t(h(x)).\nAnswer: x**2 - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*f**3 - 3363936*f**2 - 34926252405*f - 2587111350 = 0. Calculate f.\nAnswer: -20765, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q + 2*u, 28*u = q + 27*u. Let k = -203\/5 - -40. Which is the nearest to 1? (a) k (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = -2*f, -4*r - 16 = f + 3*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 + 6*v - 1. Let u(n) = 4*n**3 + 31*n**2 + 17*n - 3. Let a(g) = 7*m(g) - 2*u(g). Let z be a(9). Let i be 0*(-2 - z\/4). Is i < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6307.228 years?\nAnswer: 630.7228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1390, -4, -355\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20093561161.00000061 - 20093561008. Let x = 18.5 + 134.5. Let j = d - x. What is j rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221e69 (base 16) to base 12.\nAnswer: -8b9ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/48)\/(2\/(-6)))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -789 + 1985.724445\nAnswer: 1196.724445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4480\/23 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 162.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20175, 20176, 20177?\n\"Answer: y + 20174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 3, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 227 + 121 = 0. Let h = u - 96. Let y = h - -44. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = 1. Let d = 12 - 13. Which is the nearest to 0.1? (a) 3 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0802 - 0.58253838\nAnswer: -0.66273838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s. Let n(d) be the third derivative of -7*d**5\/3 + 951*d**2. Calculate x(n(y)).\nAnswer: -840*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*j + 83 - 78, -j = 3*q + 7. Solve -j*x - 4*b - 12 = 0, -3*b = -5*x - 47 + 69 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14157431 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 4, n: 4, q: 2}. Give prob of sequence njx.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + 55\/20. Suppose k = 4*f + t + 4, -2 = -4*f - 2*k. What are the prime factors of f\/1 - (-39)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-5\/4))**(2\/3) assuming r is positive.\nAnswer: r**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-24)*(-48)\/30*(-35)\/(-42).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 8, -4, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51533\/3380 + -3\/845. What is the common denominator of 29\/20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, 1 c, and 1 l when four letters picked without replacement from eheleehhecchee.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399562903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*5\/(15\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51103 + 765?\nAnswer: -50338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165913260, 331826517, 497739774, 663653031, 829566288?\nAnswer: 995479545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2435732*h - 2524296 wrt h?\nAnswer: 2435732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*t = -18. Suppose -9 = -8*l + 39. Calculate the greatest common divisor of t and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010000010011001101000 (base 2) to base 8\nAnswer: -22023150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6655500 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 739754 - 739754 + 206*p to d*p + j and give d.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((-936)\/(-45))\/13*150\/(-60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -5*f - 5*d - 40, -4 = -2*d. Let q be (-14)\/f - 2\/(-14). Suppose q = 10*m - 20. Solve -3*r = 0, m*y - 1 = -3*r + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18717 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14322 and 8337.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17*j - 643. What is y(-12)?\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u**2 + u**2 - 8*u**2)*(0*u + u + 2*u) + 10*u**2 - 6*u**3 - 10*u**2)*(7*u**2 - 2*u**2 - 2*u**2).\nAnswer: -72*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b - 8 - 12*b - 8. Give i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33041?\nAnswer: 19, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -1.1. Let m = 0.3 - 6.7. Let l = 6 + m. Sort l, -4, s.\nAnswer: -4, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97, 95, 91, 85?\n\"Answer: -s**2 + s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {x: 1, g: 1, w: 2, m: 1, a: 1, z: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 40 - 10 = 0. Let z(d) = d**2 - 15*d + 14. What is the tens digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 186 = a + 330, 634 = 5*z - 4*a. Calculate the least common multiple of 4 and z.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(((-1)\/4)\/((-29)\/(2088\/180))).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -3*r - 69. Suppose 443 = 15*t - 277. What is the greatest common factor of t and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/((-4)\/12). Let b be -1 + 4\/2 + g. Let z = -5 + 4.7. Sort z, b, 5 in decreasing order.\nAnswer: 5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 222*o - o**2 + 222*o.\nAnswer: 3*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 2*x**3 + 7 - 7 + 9*x**3 + 3 - 3 + (-2*x**3 - 2*x**3 + 6*x**3)*(5 + 2 - 6).\nAnswer: 9*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -827, -829, -831, -833, -835?\n\"Answer: -2*o - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002541380356 to seven dps.\nAnswer: 0.0025414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 - 3*d**2 + 2*d. Let q(l) = -8*l**3 + 6*l - 6*l + 17*l**3 - 5*l**2 + 4*l. Give -3*q(s) + 5*w(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 56*k - 11 = -52*k, -k = -3*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*j**2*p*z**3 - 2*j**2*p*z**2 + 2*j**2*p - 2*j**2*z**2 + 1088*j*p*z**3 - 129*j*p + 2*j*z - j wrt z.\nAnswer: 366*j**2*p + 6528*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/6 - u**3\/6 - 27*u**2 - 2532*u. Calculate b(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77845860 divided by -116.\nAnswer: 671085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-30))\/((-29562)\/28425)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/12*(-1)\/(-1)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -5*o. Solve -6*q + 3*q = 2*w + 13, -o*w = -2*q - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(1872) + 3)*5 + (3*(sqrt(1872) + 0)*4)**2).\nAnswer: -269658 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1304 in 2, 3, 0.3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 - 4777090*x**3 + 33432375*x**2 wrt x.\nAnswer: 48*x - 28662540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 9064912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 - 10*o**2 - 8*o**2 + 22*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let b = 12.9 + -119.7. Let w = 107 + b. Sort w, p, -0.3 in ascending order.\nAnswer: -0.3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2432 and 1368.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/11, -148, -1\/2 in decreasing order.\nAnswer: 7\/11, -1\/2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 0 - 2 + 4 + (2 - a - 2)*(-3 - 1 + 0))*(-2*a + 5 - 5)*(5*a + a - 3*a).\nAnswer: 24*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-3)\/(0 + -4 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52892.47 litres?\nAnswer: 52892470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/4 - -47\/52. Let c = 11374 - 11383. Sort g, c, -2, 3.\nAnswer: c, -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 l, and 1 t when four letters picked without replacement from {l: 1, t: 4, f: 1, b: 2, e: 2, u: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 703446, 5627642, 18993332, 45021264, 87932186, 151946846, 241285992?\nAnswer: 360170372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.001? (a) 0.3 (b) 1\/46 (c) 0.35 (d) -3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7843470 to the nearest 10000.\nAnswer: -7840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - -470063297?\nAnswer: 470063297.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 12) to base 16\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4640681.43 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 93760.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, -105, 3, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, -105, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1.1 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) 1228008 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(972))**2 - (-5 + (-4*sqrt(15))\/sqrt(5))).\nAnswer: -2931 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 22?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71841.12 centimeters in kilometers?\nAnswer: 0.7184112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 132 - (0 + (4 - 0)). Let f = 22 - 90. Let x = f + y. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-233)\/466*(-74)\/6*12\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*u = 2, 2*f - 3 = 5*u + 28. Let t(o) = -2*o**2 - 3*o + 4. What is t(f)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -323594 and -62.\nAnswer: 20062828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 10*l**2 - l - 2. Suppose 0*a = 5*a + 40. Let i = -4 - a. Let j(k) = k**3 + 9*k**2 + 2*k + 1. Let d(n) = i*j(n) + 3*h(n). Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696296392 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: Which is the nearest to 0.082? (a) -0.2 (b) 6 (c) 11\/16 (d) 0.5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44698283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1433 (base 5) to base 6\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*v + 2*v. Let k = v - -17. Solve -w = -2 - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 26, 32, 40, 50, 62, 76?\n\"Answer: g**2 + g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(1216) - (sqrt(1216) + 0 + sqrt(1216))))**2.\nAnswer: 240*sqrt(19) + 3723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*c = -5*c + 25, 2*d = -c - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x. Solve 4*c - 3*q = 8*c + 10, x = -2*c - 5*q - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, j: 2}. Give prob of sequence xxxx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5437*-0.3.\nAnswer: -1631.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 41*u - 40*u - 11, -4*f - 2*u = -22 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17733475 to 3 decimal places.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*y. Let a = y - -2. Suppose 0*g = a*g. Solve -s - u = -g*s, 0 = -3*s + u + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1738.7862 months to decades.\nAnswer: 14.489885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Suppose 4*o + 3 + 13 = 0. Let k be i(o). Solve 9 = k*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-23)*1*(-2)\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -141\/115 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/33*5\/(140\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 11*v**2 + 7*v - 10. Let m be j(-10). Suppose 0 = -5*a - 4*p + 53, -m = -5*a + 3*p + 54. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xea when three letters picked without replacement from {e: 3, a: 8, g: 1, q: 3, x: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 42 = -3*t, 4*z + 74 = 4*t + 18 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 34 = -1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5425)\/(-310))\/(10*(-7)\/(-28))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -25. Let s = y + -10. Are 3 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-1206)\/(-72)) + 77\/44.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvjxvvvjxjjvkjx. Give prob of sequence jxj.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w - 1. Let x(r) = 5*r**2 - r**2 + r - 2*r**2 + 1. Let c(p) = -v(p) - x(p). Let o(n) be the first derivative of n**2 - 7. What is o(c(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*(s\/s**0*s)\/s*s))\/s)**(4\/15)\/(s**(3\/10)\/s)**27)**(-17) assuming s is positive.\nAnswer: s**(-3077\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653*g = 672*g - 5396. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16770 + -7939. Let x = l - -302. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 32. Let g = 53 - a. Calculate the remainder when 25 is divided by 130\/g*1*2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -310 and -308 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 26*p. Let t(w) = -w**3 - w**2 + 3*w + 5. Let c be t(p). Solve -9 = -3*a - c*n, a - n - 4*n + 17 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/36 + 3\/9*10. Let u(a) = p + 69*a - 41*a - 1. Let f be u(1). What is the greatest common factor of f and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 77*a**2 - a + 7. Let o(m) = -77*m**2 - 5. Determine 3*o(y) + 2*z(y).\nAnswer: -77*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5661, -45070, -152039, -360348, -703777, -1216106?\n\"Answer: -5630*b**3 + b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, -2654, -5934, -10492, -16310, -23370?\nAnswer: -31654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -39. Solve -p + 17 = 4*g + 38, g = d*p + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-8091\nAnswer: -8091.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25615744 is divided by 82.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:38 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 16, -1, 39 in descending order.\nAnswer: 39, 16, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10612203.04 to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101140 by -1848.\nAnswer: 25285\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + -0.5. Let j = -0.99 + -0.01. Let z = 0 - j. Which is bigger: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 140*p**6\/3 + 847*p**2 + 498. What is the second derivative of h(v) wrt v?\nAnswer: 5600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 9*p**2 - 17*p + 87. Let u be n(4). Solve u*t + 10*t = 39 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/20 + 2\/24. Is 1\/3 != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.75 * 0.1\nAnswer: -0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*p - a, 0*p = -4*p - a + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 4. Let j be (-7 + 8)*(0 + 2 - 1). Suppose -3*i + j = n, -2*i = -n - 4*i + 1. What is the lowest common multiple of b(-3) and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z\/z**(-26) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixxxiiibioxihizo. Give prob of picking 3 x and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 12673704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 9*u + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.61 - 1732148375?\nAnswer: -1732148178.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 88. Give h(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((12\/(-2))\/((-728)\/52)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 77*w - 14. Let l(z) = -335*z + 57. Let u(v) = -26*f(v) - 6*l(v). Give u(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 2812*y\/3 + 988418\/3.\nAnswer: 2*(y + 703)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-30))\/((-1134)\/1785). What is the second smallest value in q, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/117 and -8\/2897635.\nAnswer: 26078715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/165)\/(3 - (-68)\/(-22)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92\/5 or 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 24*m**2 + m - 2. Let j(d) = -2*d**3 + 13*d**2 + 42*d + 23. Let w be j(9). Let c(i) = 23*i**2 + i - 2. Calculate w*v(q) + 3*c(q).\nAnswer: -27*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/5 + 11313*g**3\/5 - 32482601*g**2\/5 + 2742910323*g\/5 - 1071196146 = 0.\nAnswer: 2, 85, 5613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 729 or 730?\nAnswer: 729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.76 - 10. Let h = m + 0.2. Let w = -0.24 - h. Which is the biggest value? (a) -2 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) + 6\/(-33). Suppose v = -2*f - 3*f + 45. Solve -3*z - 3*n + f = 0, 4*z - 15 = -z + 4*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 11*t**4\/12 + t - 27. Let b(j) be the first derivative of 5*j**2 - 5. What is b(k(y))?\nAnswer: 110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 293, 2\/3, -1, 40?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 + -101. What is the common denominator of 1 - 6*(-16)\/t and -41\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29675628 divided by 4\nAnswer: 7418907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let z = -12 + 6.2. Let r = z + 6. Which is the closest to 2\/7? (a) r (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/7697 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**3 + 3*d**2 + 3*d + 1. What is the units digit of n(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*o + 660 = -768 + 193 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:39 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 + -13.9. Let w = m + 11.3. Let s = w + -6.3. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 40 = -4*a + 5*v, -4*a - 5*v + 31 = 0. Let b be 15 - a - 4*1. Let o(f) = 14*f**2 + 6*f + 19. Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-250409496846787\nAnswer: -250409496846787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1953 and 1116?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74749 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.5 (c) 2\/61 (d) 19 (e) 0 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*s + s - 18, -l - 2*s + 7 = 0. Suppose -25 = -3*w - 2*w. Calculate the greatest common factor of w and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/7 - 77*n**4 - 37755*n**3\/7 - 838697*n**2\/7 - 4689880*n\/7 + 22681200\/7 = 0. What is n?\nAnswer: -461, -41, -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**0*y))**8)**(-2\/3) assuming y is positive.\nAnswer: y**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -3006?\nAnswer: -240.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2*-3 + (-23)\/(-23). Suppose 4*l = -l + r. Let a be 9\/(l + 1) - (-13 - -1). Which is bigger: a or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1629\/(-181) + 61\/1. Solve 7*t - 38 = -b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806099817?\nAnswer: 3, 1181, 227519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1088) + 5*(sqrt(1088) - (sqrt(1088) + sqrt(1088)*-1 + sqrt(1088))))**2.\nAnswer: -16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*g = -3, -i - 170*g = -166*g + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/(-9) - 21\/(-30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -186*i + 219*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 4:33 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/3)\/((-2)\/(0 + 1)). Suppose 0*b = -b - 3. Let a = -5 + 1. What is the nearest to -0.1 in b, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/(-147))\/(288\/(-1008)))\/((-95)\/(-1862))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 15*n - 121 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/30 - 227129*j**2. Let m(f) = -36*f + 270. Let n(x) = 7*x - 54. Let p(q) = -4*m(q) - 21*n(q). Determine y(p(w)).\nAnswer: 18*w**2 - 648*w + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 2:09 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*g = -798*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -244.5, 12, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d + 7. Calculate g(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(-2))\/r*r*r**0*r)**38\/(r*r\/((r**(-1\/5)*r)\/r)*r*r**(-2\/9))**(-3\/10) assuming r is positive.\nAnswer: r**(14317\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40) - 1183\/(-140) - 10\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 93*q - 90*q - 117*q)*(-q - 2 + 2) in the form s*q + o*q**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 32*j**2 - 2*j. Let f(o) be the third derivative of o**4\/12 + o**2 + o - 185. Determine f(s(b)).\nAnswer: 64*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17180006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1873, 4471, 7797, 11851?\n\"Answer: 364*o**2 + 1506*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 101*h**3 - h**2. Let y be o(-1). Let j be (-7338)\/y*(-5)\/154. Let f = -52\/119 + j. What is the common denominator of f and -25\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2 - 5. Let m(h) = 9*h**2 + 4. Let p(d) = 4*j(d) + 5*m(d). Let x(y) = -7*y. Determine p(x(v)).\nAnswer: 245*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/5, -2, -7\/64?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v - 11. Let o(s) = 14*s - 17. Suppose 2*c + 6 + 24 = 4*r, c = r - 10. Give r*o(m) - 8*x(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - q, -q = -5*r + 3*r. Let c(k) = k**3 - 5*k**2 + 2*k - 7. Let g be c(5). Solve 0 = r*a - 1 - g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -139.1. Is 5 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b - 13. Give m(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 9*z + 5*z + 24 = 0, -m - z = -6. Find v, given that -18\/7*v**3 - 27\/7*v**4 + 0*v - 12\/7*v**5 + m - 3\/7*v**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) 1\/9 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - l + 2. Let m be j(2). Suppose 0 = -t + 3 - 12. Let y be (t\/(-1))\/(-7*(-1)\/14). What is the highest common divisor of m and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25872008 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.0076 litres in millilitres?\nAnswer: 317007.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2 or 2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13256 is divided by 251?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*l**3*r + l**3 - 4300*l**2*r - 2*l**2 - 90 wrt r?\nAnswer: -6*l**3 - 4300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 13*v + 27. What is the tens digit of t(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3802 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3204.5*-0.04\nAnswer: 128.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040773 rounded to 5 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9373246l to millilitres.\nAnswer: 937.3246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 549411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 - 5*g**2 + 85*g + 266. Suppose -2*p + 3*i + 39 = 0, -3*i - 37 = -p + 2*i. Calculate the remainder when x(-3) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/30*(-24)\/(-16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) 10\/7 (c) 41 (d) 2 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25\/632 + -1504435\/6952. Let r = 216 + i. Calculate the common denominator of r and -5\/134.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 70?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14235 + -14232. Let l = 26 - 25. Solve 5*a - j*y = -0*a, -2*a = -y - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, r: 1, i: 10}. Give prob of picking 2 i.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - -2.5. Let u = 7.4 + -7. Let d = u - 1.4. Which is the third biggest value? (a) d (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(40)\/sqrt(2)*4)\/(sqrt(20)\/(sqrt(25)\/sqrt(5))))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 11*j**2 - 54*j - 10. Calculate the remainder when k(15) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 16*d + 1. Let w(s) = -s. Let r(g) = 2*f(g) + 6*w(g). Let y be r(13). Solve -j + 3*v = -3 + y, -5*v = j + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*t**3 + 0 - 2\/5*t**2 + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 2*m - 25 = r, 0 = -m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3 + 9. Suppose -4*c - a = 0, 3*d + 11 = 3*c - 1. Let n = 5 + -9. Put n, d, 2 in decreasing order.\nAnswer: 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*t**4 - 170*t**4 + 3 - t**2 + 17*t**3 + t**2 - t - 14*t**3 to the form y*t + q*t**2 + p*t**4 + a + x*t**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 + 3*y**2 - 6. Let i(z) = -4*z. Determine u(i(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a minute in seconds?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**4 + 1040*f**3 - 224572*f**2 - 227672*f + 451200 = 0.\nAnswer: -400, -2, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 7663?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 91, 329, 797, 1573, 2735, 4361?\n\"Answer: 13*x**3 - 2*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-6)*(126982\/14186 - (-4)\/82)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1. Suppose k + 11 = -13. Let h be k\/(-28)*14\/3. Suppose -4*r = 4*x + r - 17, -3*x + 14 = h*r. Determine d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/(18\/6))\/(3\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w - 124. Calculate m(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 277 - 180532?\nAnswer: -180266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + -0.7. Let p = -0.182 + 0.273. Let q = p - 0.091. What is the closest to m in -2, q, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9898.711cm in micrometers?\nAnswer: 98987110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.710223ml?\nAnswer: 0.003710223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*d - 3*w - 6, -2*w = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:04 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 35 = -4*k, -k - 277 + 270 = 4*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 10125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 8 + -6 - 4) + 4 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 220 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2949, -4, -2, 1, -11, 3 in decreasing order.\nAnswer: 3, 1, -2, -4, -11, -2949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 4, w: 1, l: 1, n: 11}. What is prob of picking 1 v, 1 w, and 1 l?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, n: 1, h: 1, a: 3, p: 2, y: 3}. What is prob of picking 2 p and 2 a?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10009 is divided by 4991.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616546329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t + 4. Suppose -3*s - t*y + 52 = 0, 4*s = -5*y + 39 + 42. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255323, -510644, -765965, -1021286, -1276607?\nAnswer: -1531928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 834 + 342 = 0. Do 168 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -13 + (-14 - -33) + -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 16*o + 6. What is f(11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -8, 14\/5, 0.3, -5 in decreasing order.\nAnswer: 14\/5, 2\/3, 0.3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, r: 1, n: 1, z: 1}. What is prob of sequence rb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 3*q + 12, -3*q - 22 = -5*t. Suppose 2*j - k - 164 = -2*j, 5*j = -3*k + 205. Differentiate -j*h + 41*h - t*h**2 - 6 with respect to h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.26765732 rounded to one dp?\nAnswer: -51.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (9 - 8) - (-3 - (-4 + -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffttffttttftttttttt. What is prob of sequence fft?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*m + n - 14, m - 4*n - 9 = 0. What is the least common multiple of m and 825?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24125949, 48251902, 72377857, 96503814, 120629773?\nAnswer: 144755734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3662, 7329, 10996, 14663, 18330?\n\"Answer: 3667*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*j**2 - 2 - 3 + 9 - 3 to the form m*j**2 + f*j + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/11 and -76\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 4*x + 22. Let k(m) = 3*m**2 - 12*m - 65. Let z(w) = 2*k(w) + 7*q(w). Let f be z(-3). Solve f*n = -b + 5*b - 35, 0 = -5*b - 5*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -906\/43 + 2890\/129. Solve k + 10\/9*j + 2\/9*j**2 = 0 for j.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:27 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 5*n**3\/3 - 10*n**2 - n. Let q be y(5). Suppose -7*i = -i - q. Solve 0 = i*t - l - 23, t = l - 0 + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3915, 0.15, 0, -1.4, -4, -1\/4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6623991 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from wuucccwwwwwuwuwwc.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7855 = 3*m, -4*h + 3*m + 4474 = -3375. Suppose -h = -5*o + 1402. Is o 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 7:25 AM and 5:06 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1525801 - -10?\nAnswer: 1525811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 33, 29, 23?\n\"Answer: -h**2 + h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58692\/12845 - -4\/1835. Calculate the common denominator of z and 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -53*f - 119. What is m(1)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.4, -5, -6, -2\/3 in decreasing order.\nAnswer: -2\/3, -2.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906178.2 nanometers to meters.\nAnswer: 0.0009061782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -345*l**2\/4 + 3639*l\/4 + 6705 = 0?\nAnswer: -5, 1788\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**5\/60 + 23*o**4\/24 - 8*o**3 - 7*o**2 + 232. What is x(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106474755.\nAnswer: 5, 7, 11, 43, 127241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1839 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and -36.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9886 in 0, 0.8, -10?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -186*o + 98. Let y(n) = -372*n + 198. Let g(w) = -5*l(w) + 3*y(w). Differentiate g(k) wrt k.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:48 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/84 and 11\/1652?\nAnswer: 4956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25657209 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 0, 0*r - r = -5*x - 24. Is 92782\/r - 54\/(-459) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, -4, -51, 1, -6.\nAnswer: -51, -6, -4, 0, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x + 13. Let f be g(10). Let n = -30 - f. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4353, -4362, -4383, -4422, -4485, -4578, -4707?\nAnswer: -4878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times 3.4904\nAnswer: 9.77312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 62*z**2 - 150*z - 12. Let r be g(59). Let t = r - 667. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638514 take away -5?\nAnswer: 1638519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 134. Let u = d - 30. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -21, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 16*o + 15. Let v be n(9). Let f(i) = -i. Let r(j) = j - 3. Calculate v*f(y) - r(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73025 + 73024.7. Let n = 0 - 3. Which is the third biggest value? (a) -4 (b) j (c) -0.2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-720)\/(-33) - (-8)\/44. Suppose 2*h + h = -d - 12, -5*h - g = 0. Suppose d = -15*x + 13*x + 54. What is the lowest common multiple of 21 and x?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771662 to the power of 1\/2, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b64 + 3?\nAnswer: 4b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 4*p + 2. Let v(r) = -5*r**3 + 4*r**2 + 16*r - 474. Determine v(c) + 4*x(c).\nAnswer: -c**3 - 466","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 5\/881 (c) -4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 5*a - 3. What is the remainder when 85 is divided by r(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0 + 0*p - 1\/12*p**4 + 2*p**2 + 0*p**3. Let o(x) = -x + 0*x + 5*x - 6*x. Determine i(o(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 14. Let b be r(9). Suppose q = b*q - 20. Suppose 0 = 3*m - 3*v - 42, -4*m - q*v + 6*v = -41. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*q - 609*q - 1186*q - 343*q - 74115 = 0 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.028 and 20.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5815.709 - -5816. Which is the fifth smallest value? (a) 0 (b) 5 (c) -2 (d) -1\/3 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4720 and 11099965.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 greater than or equal to 526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (1 - (7 + (-1 - 2))) - (8367 + -8354)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 not equal to 791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 6*k**2 + k - 10. Let g be c(-5). Let u = g + 33. Suppose 0 = -2*a - 3*t + 8*t + 40, 2 = -t. Calculate the remainder when u is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4.7 (b) -0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2 - 7*b - 11*b**2 + 6 - 4 + 7. Let n(v) = 7*v**2 + 5*v - 7. Calculate -5*c(o) - 8*n(o).\nAnswer: -o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 2 + 25 - (30 - -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882 and 4851?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4333425 + 40245?\nAnswer: 4414114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyaypyyy. Give prob of picking 3 y and 1 a.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 640 = -2*s, -17*n + 2*s + 320 = -16*n. Suppose 3*h = -5*z + 185, 5*h - 176 = z + 123. Suppose -h*m - n = -61*m. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:31 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-4 - (-14 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*k + 663*k + 5*m + 12 = 0, -4*m - 116 = -16*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2120141*o = -2120051*o - 6930 for o.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 39. Let g(c) = c**2 - c - 2. Let f be g(3). Suppose -9 - 7 = -f*x. Solve z = -x*i - i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*c + j, -j - 62 + 12 = 5*c. Let l(u) = u**3 + 11*u**2 + 2*u - 15. Let t be l(c). Let b = t - -53. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35 - (1 + 3 + -2). Suppose 0 = 3*m + 2*o - 51, -m - 2*m + 4*o + l = 0. Suppose -3*v = -4*a + 11 + m, 19 = 5*a + 3*v. Solve s - a*s + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001012 (base 3) in base 13?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03134791203 to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -336 + 15?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 1158208?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(147) + sqrt(147) + 2 + sqrt(147) + sqrt(147) + 1 + sqrt(147)))**2.\nAnswer: 1890*sqrt(3) + 33156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**2 - r**3 + 4*r**2 + 0*r**3 to the form f + a*r**3 + x*r**2 + g*r and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 31. What is the third biggest value in 0.5, g, -0.8, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*a + 28, a = 2*a - 4*n + 16. Suppose -3*u = -a*u + 11. What is the remainder when 120 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1615146*q**5 + q**3 + 48*q**2 - 519464776*q?\nAnswer: 32302920*q**3 + 6*q + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27838, -27837, -27836, -27835?\n\"Answer: q - 27839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1278461\/44 + 29058. Find the common denominator of 101\/396 and d.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -25, 2, 17 in ascending order.\nAnswer: -25, 2, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) + (-1793)\/(-77). Is 23 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:52 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -544, -3522, -11592, -27298, -53184?\n\"Answer: -424*p**3 - 2*p**2 - 4*p - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Let j(z) = 2*z + 2. Let f(c) = c + 3. Let l be (4\/6)\/(5\/15). Let a(v) = l*f(v) - 3*j(v). What is a(u(g))?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((2\/(-1))\/1)*2560\/320?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*p - 74*p - 18*p + (2 - 2*p - 2)*(1 - 2 + 0)*(2 - 2 - 2).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 255.3?\nAnswer: 270.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341213345.\nAnswer: 5, 11, 359, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4312 = -3581. Suppose -3*r = -6*r + q. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -22693270*y**2. Let h(v) = v. Determine a(h(k)).\nAnswer: -22693270*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21534 + 333829.\nAnswer: 355363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 19436\/3*u**2 + 1\/6*u**5 + 5749\/6*u**3 + 13448\/3 + 29930\/3*u - 79\/3*u**4 = 0. Calculate u.\nAnswer: -4, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 437 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2942895 or 2942881?\nAnswer: 2942881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1584) + -1 + 0)*-5)**2 + -5 + -2 + 3.\nAnswer: -600*sqrt(11) + 39621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n. Let y(m) = 55*m. Let a(s) = -14*i(s) - 4*y(s). Let l(u) = 279*u**2. Determine l(a(w)).\nAnswer: 4464*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**6\/30 - x**4\/12 - 5*x. Let j(h) = 12*h**4 - 6*h**2 - 1. Let c(u) = -j(u) + 6*m(u). Differentiate c(q) wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 144*p**2 - 2304*p + 12288.\nAnswer: -3*(p - 16)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -574207 or -64885332\/113?\nAnswer: -574207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 1998, 2997?\nAnswer: 3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let n = -2.05 - u. Let h = 0.35 - n. Which is the third smallest value? (a) 3 (b) -0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 - 11*p - 14. Calculate h(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088 + 3605 - 1433 = -129*w - 126 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18491 and -13745?\nAnswer: 254158795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhexxses. Give prob of sequence sxxh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/360 and -109\/1908.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -23.6. Let a = p - 3.3999536. Round a to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 + 0.45. Let s = 1363 + -1359. Put w, 3, -0.004, s in descending order.\nAnswer: s, 3, w, -0.004","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (1 - -1193972)\/(-3). Let x = o + -233988. What is x rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -53. Do 0.1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 9299.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 36 = 3*b - 43, -3*m - b - 11 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 18726, 1 in ascending order.\nAnswer: 1, 29, 18726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.051 - 1044.949. Let h = -1045.9341 - z. What is h rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9546955 decades in millennia?\nAnswer: 0.009546955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -65, -1, -5, 7032 in ascending order.\nAnswer: -65, -5, -1, 2, 7032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.4. Suppose -38*q = -34*q - 16. Let c be (-158)\/(-568) + 4\/(-64)*q. Are c and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 56293.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/19, 3\/2, 229, -98?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15\/(-6))*108\/(-90).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/70 and -85\/6342?\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 1734*y**2 - 49 + 2197*y**2 with respect to y.\nAnswer: 926*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4*i**3 - i**3)*(6 - 7*i**2 + 2 - 7) + (-i - i + 6*i)*(8*i**4 - 7*i**4 + 18*i**4).\nAnswer: 69*i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 2*d - d**2 + d + 5*d**2. Let f(t) = -11*t**2 - 16*t**3 - 20*t**3 + 30*t**3 + 3*t. What is -4*f(h) - 11*v(h)?\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -3, -0.2, 1, 30084, 2.5 in descending order.\nAnswer: 30084, 2.5, 3\/2, 1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/31 and ((-9)\/10)\/((-4)\/(-25)).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030196 rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1010, 873, 738, 605?\n\"Answer: a**2 - 140*a + 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1803 - 2272 + 469 - 20*i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0545146 * 0.4.\nAnswer: -1.22180584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 114 (c) 11 (d) 33 (e) 2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196746811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k - 2*i - 2, -5*i + 15 = 5*k. Suppose 4 = p - k*n, 0*p - 5*p - n + 20 = 0. Suppose 4*b - l = 216, b - l = p*b - 155. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 1.2 (b) 594 (c) 3\/7 (d) 13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189837130?\nAnswer: 2, 5, 7, 17, 67, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 29 in increasing order.\nAnswer: 1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/5 of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/((-4)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102200012 + 1002?\nAnswer: -12102122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (99*(-18)\/162 + 26)*9\/5*-1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a - 7. Let s be o(-10). Let k(x) = x**2 - 13*x + 5. Let m be k(11). Let p = s + m. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/14 or 9894.53?\nAnswer: 9894.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59367 is divided by 530.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let f be w(11). Let h(d) = -d**3 - 10*d**2 + 10*d - 1. What is the units digit of h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 788713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11232608*h**6 - h**4 + h**2 + 14924.\nAnswer: 1347912960*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4. Let d = 145\/1547 + -2\/119. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323669?\nAnswer: 3, 31, 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -48806*u + 48812*u for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j. Let y(n) = -144*n. Suppose -a = -4*i - 161, 5*i + 19*a - 22*a + 203 = 0. Calculate i*w(b) + 3*y(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101640 and 968?\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -3\/2, -1.6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5500 (base 7) in base 4?\nAnswer: -132220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 plus 3587?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:22 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000154670362 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -14*k + 119. Let f be c(6). Solve 3*i + 16 = 2*o + 3*o, f = 4*o + 5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 619.0003 nanometers?\nAnswer: 0.0000000006190003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173827309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 24. Let b be z(-24). Suppose -j = -b*j - 9*j. Solve j*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/198 and -37\/3278?\nAnswer: 29502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576135 - 2*v**3 - 576135.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 67*k**2 - 44*k - 747. Is d(-71) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -1\/3, -35, -2\/13, 2099?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 9*q = 14*q - 3, 0 = -4*z - 4*q - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6210 and 1878?\nAnswer: 1943730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234.4 + -179. Let t = k + -55. Which is the closest to 2\/5? (a) t (b) -0.1 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11186 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3 + 2)) + 539\/(-275). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 159*g**2 - 297*g + 459.\nAnswer: -3*(g - 1)*(g + 3)*(g + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a + 1. Let q(c) = 2*c**3 + c**2 + 3*c - 3. Let o be 17\/3 - (-4)\/12. Let m(g) = o*p(g) + 2*q(g). Factor m(v).\nAnswer: -2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 85*d**3 - 280*d**2 + 260*d.\nAnswer: -5*d*(d - 13)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 7. Let u be f(2). Let i be u + -7 + (-5 - -6). Suppose p - 5 = -0. Solve 0 = 2*o + 4*g, -1 = i*o + 4*g - p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -5\/4 (b) -0.06945 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7 - 2*z - z - 9 - 10. Let t be g(-7). Which is the third biggest value? (a) -2\/15 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.7. Let u = q + 1. Which is the nearest to 2\/3? (a) -5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 10295\/10379 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*g - 6*g**4 - 3 - 4*g**3 - 3*g**3 + 4*g**4 to the form w*g**2 + s*g + f + i*g**3 + j*g**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - 2*w**2 + (207*w + 214*w - 91*w)*(2 - w - 2))*(-5*w + 4*w + 3*w) + 16*w**2 + 3*w**3 - w**3 + 6*w - 17*w**2.\nAnswer: -662*w**3 - w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6) + -1)*(-84)\/(-48)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/6)\/36 - 29\/(-84). Which is the nearest to 1? (a) y (b) -1\/3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:48 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 51, 9, -33?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 33*g = 35*g + 98946, -2*f - 2*g = -49476. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/707 and 7\/1580.\nAnswer: 1117060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s**3*z**3 - 3970*s**3 - 988*s*z**3 - 10*z**3 wrt s.\nAnswer: -42*s*z**3 - 23820*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3076, 3075, 3074, 3073?\n\"Answer: -f + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29915\/(-275) + (-4)\/(-22). Let l = b + 1073\/10. What is the common denominator of l and -59\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07024 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-161 + 163)*(-135977)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3241390*m*v**2 + 227304891*v**2 wrt m.\nAnswer: -3241390*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) - ((sqrt(84)*1 + sqrt(84))*1 + sqrt(84))))\/(sqrt(2352)*-1 - sqrt(2352)).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 8*o + 9. Let a be l(-5). Sort -2, a, 4, -5.\nAnswer: -5, -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {z: 5, a: 5, u: 6, m: 1, o: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**3 - 29*a**2 - 150*a + 427. What is i(2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40466 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 17}. What is prob of sequence eoee?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 3439*b\/2 - 98049.\nAnswer: -(b - 3381)*(b - 58)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15639)\/(-18) + (1\/6 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let u(z) = -2. Let f(i) = u(i) - 2*x(i). Let b(j) = -j**2 + j - 1. Let q(t) = -6*t**2 + 9*t - 9. Let v(k) = 9*b(k) - q(k). Give f(v(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 + 1803296*g**4 - 14426552*g**3 + 32459840*g**2 - 28853228*g + 9016640 = 0. Calculate g.\nAnswer: -450832, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -545, 4, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 170 = -f, 50*l - 54*l + 8*f + 240 = 0. Solve -33*j + 5*j = l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:59 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*i - 35. Let m = 8 - -12. What is the highest common factor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**4*c)\/c**4)\/(c**0\/((c*c*c**(-6))\/c)))\/(((c\/(c*c**(-1\/2)\/c)*c*c*c)\/c)**(-37))**(-7) assuming c is positive.\nAnswer: c**(-1819\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 - -704. Suppose -k*x + 472*x - 2697 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2 - 56980*j*y - 14849*y - 3 wrt j.\nAnswer: 4*j - 56980*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9596972503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1289757 or 1290047?\nAnswer: 1290047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*y - 4, -10*y + 6*y - 4*s = 12. Let t(l) = -l**2 - 4*l + 7. Let z be t(-6). What is the third biggest value in z, -1\/2, y, -3\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*z + 18, 5*z = 3 - 23. Calculate the remainder when 50 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 4. Let h be d(-5). Suppose 4*j + 28 = z, -24*j = 5*z - 19*j - 90. Let r be z - -6*(-3)\/(-18). Solve -3*k = -h + r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 188 = 5*d. Let k = -31 + d. Solve -3*i + 28 = -k*z - 8*i, 2*z + 5*i = -27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 94, 145, 200, 259, 322, 389?\n\"Answer: 2*j**2 + 41*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/12 and 10\/1569?\nAnswer: 6276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -118902936 divided by 4?\nAnswer: -29725734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.99866 + -68. Round o to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.165 times -5011\nAnswer: 15859.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1954*j**3 + 20519*j - 19867*j + 1602*j**3 wrt j?\nAnswer: 21336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + 36 + (1 + -16 - 7).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-24) - (-14 + -1 + (-897 - -908))?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.02, -48, 0.2 in increasing order.\nAnswer: -48, -0.02, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = 1. Let i(l) be the second derivative of -l**5\/20 - l**4\/6 - l**3\/6 + l**2\/2 + 2*l. List the prime factors of i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 + (8 + -4)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 4*z - z)*(193*z - 55*z + 66*z)*(z**2 - 2 + 2) as a*z**2 + k + m*z + w*z**4 + h*z**3 and give w.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 t when four letters picked without replacement from ttplp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 6806 - 8*z + 12*z**3 - 6806.\nAnswer: 12*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 47.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21 + 2210\/90)\/2. Determine z, given that -2\/3*z**3 + 2\/9*z + 20\/9*z**4 - 8\/9*z**2 + k*z**5 + 0 = 0.\nAnswer: -1, 0, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238640 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2165.\nAnswer: -4\/2165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16331, -17767, -19203?\nAnswer: -20639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w - 63. Determine q(-22).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 + -258.0398. Let g = o - -0.3222. Let a = g - 0.3. What is a rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2235 = -b - 2*w, -3*w = 7*b - 2*b - 11175. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/16)\/(603\/(-6030)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 4*u + 4. Let r be c(-4). What are the prime factors of 364\/r - 4\/(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b**1*b)))*b*b*b*b\/(b*b**(-1\/7)\/b))\/(b\/b**(-2\/7))**(-8\/9))**(-13) assuming b is positive.\nAnswer: b**(-390\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) - 1683\/(-1188)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/19 and -85\/198.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1144*q**2 - 1194*q**2 + 2340*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 t, and 1 n when four letters picked without replacement from tttvttvnvntt?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -106. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqqq when four letters picked without replacement from {q: 4, x: 2, j: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuqqqqqllqlqkqqqnqo. Give prob of picking 1 q and 2 l.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27 - u**2 + 13*u**2 - 79*u + 9*u**2 + 3*u**3 + 28*u.\nAnswer: 3*(u - 1)**2*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24\/(-18)*1\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-12) assuming h is positive.\nAnswer: h**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u + 1036. What is u rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6398974*-2\nAnswer: -12797948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*k + 1017823 + 92377 = -822136. Calculate the greatest common factor of 126 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -95. Let w = t - 59.4. Let d be 9\/(-12) + (-5)\/(-12). What is the closest to 0.1 in d, w, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-171.\nAnswer: 8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f - 37. Let c be g(5). Let k(b) = -9377*b + 33. Is k(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 3*l**2 - 4*l - 2. Let i be p(-4). Let d = i + 4. Solve 0 = -n + 3*t + 17, -d*t = 5*n - 0*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126098296 - 0.097197.\nAnswer: 126098295.902803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 12*v = -9*v - 6, -3*j - 4*v = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**10\/504 + v**6\/72 + 4*v**3\/3 + 1. Let l(d) be the third derivative of b(d). Find the third derivative of l(s) wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 1:22 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 + 6*j - 9. Suppose -5*v + z = 28, -3*v - z - 33 = -21. Let u(c) = 8*c**2 + 7*c - 10. Calculate v*u(r) + 6*a(r).\nAnswer: 2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 781 + -774. Let b(g) = -g - 2. Let z be b(-2). Suppose z = -2*m + p*m - 10. Put m, 3, -5 in decreasing order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10708474 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**3 + 191181*t**2 - 776863 wrt t?\nAnswer: -6*t**2 + 382362*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 3\/4, -1\/52, 0.1, -0.2, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 30. Suppose 20*s - t*s = 90. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(6)\/sqrt(3).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/38709 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-434 - -431) + -78 + 4?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*h + 18 = 242*h. Solve -4*m + 9 + 7 = -4*y, 3*m + h = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14227*f**5 + 3*f**4 + f**3 - 2019083*f**2 wrt f?\nAnswer: -853620*f**2 + 72*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/31*(23\/2944*32)\/((-3)\/(-6))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/440 and 31\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -293*p - 2. Let w be v(-2). Let f(n) = 3*n**2 - 20*n + 18. Let l be f(6). Suppose -l*b - 128 = -w. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.7 and -7163.\nAnswer: -33666.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 21. Suppose 0 = -4*u + b*u + 2. Let f(r) = r - 1. Let d be f(3). Solve -11 = -d*w - u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/7 + 216812*k\/7 + 10181328\/7.\nAnswer: 4*(k + 47)*(k + 54156)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - 6) + (24 - (20 - -8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10*(-18)\/54. Factor -3\/5*b**2 + 2\/5*b + j*b**3 + 0.\nAnswer: b*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 117.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 = -j, 64*j - 15 = -3*q + 60*j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 2*w**3 - 3*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1092 and -145\/13346424.\nAnswer: 13346424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/21))**(-3)\/(g*(g**(-1\/4)*g)\/g*g)**(-2\/47))**(-9\/2) assuming g is positive.\nAnswer: g**(19017\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1513.352168 to the nearest ten.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1104 - 0.0004. Let i = -0.11 + w. Which is the second biggest value? (a) i (b) -2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xakd when four letters picked without replacement from qkxkkdkkxaddddzkqqqk.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, l: 2}. What is prob of picking 4 r?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than 7236061?\nAnswer: 7236061.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 79. Suppose -z = -5*g + 14, -5*g = -j*z - 2*z - 26. What is the biggest value in -2\/3, -0.7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 - 1)*((-4*s**3 + 5*s**3 + 0*s**3)*(-3 + 0 + 4) + 3*s**3 - s + s) - 3 - 2*s**3 + 3 + s.\nAnswer: -54*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4827 in 33, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 12*x + 20. Calculate q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -118\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {g: 1, l: 1, z: 1, n: 2, m: 2, a: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 - -191. Solve 0 = 3*i + 5 - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 2 (b) 9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3174 times -4.79\nAnswer: 15203.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.966 - -1.2.\nAnswer: 10.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.1 + 23.1. Let g = u + 32. What is the closest to g in 3, 0.09, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3603577.\nAnswer: 3603577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785825 is divided by 293.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhaqqhqhhaesehhh. What is prob of sequence qqe?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 48 = 12 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -1132, -2585, -4632, -7273, -10508, -14337?\nAnswer: -18760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-2*t**2 - 2*t**2 + 0*t**2) to the form a*t**2 + z + m*t and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -18. Let p = 26 - b. Let g be p - ((-2)\/(-2) - -1). Calculate the highest common divisor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b = -22*b - 160. Solve 5*t + l = 28, 3*l = b*t - 3*t - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/32 and 93\/53728?\nAnswer: 53728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -11, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176.3 - -176.8. Which is the second smallest value? (a) m (b) -12 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:46 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**2 + 5*v - 9. Let l(r) = 5*r**2 - 2*r + 5. What is -2*b(x) - 5*l(x)?\nAnswer: -5*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45995004 a multiple of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1800331338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -138 times 264555\nAnswer: -36508590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -39*m**3 + 2*m**2 + m. Let z be 2\/(-5) + (-12)\/20. What is the units digit of t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49853 and -6.364.\nAnswer: -317264.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 6. Let y(d) = d**3 + 18*d**2 + 18*d + 23. Let u be y(-17). Let k be r(u). Which is the nearest to -2\/9? (a) -0.6 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 65. Let b be m(-30). Suppose 0 = b*q - 7*q + 6. Solve -5*r + s = -s + 33, 4*r + 8 = -q*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 2*c**2 + 24*c + 353. Is p(42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 83*n + 739. Let t be g(17). Is -379 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60108210.\nAnswer: 2, 3, 5, 19, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 32) + (5 - -13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p**2 - 8*p**2 + 3*p**2. Let b(h) = h. Calculate b(n(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(-44520)*42*2065\/7?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194475?\nAnswer: 3, 5, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 - 8*s**3 + 13*s**3)*(-4*s + 4*s - 2*s**2)*(3 - 2 - 2).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 57264274\nAnswer: -11452854.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdrqdsrckkcc. What is prob of sequence dqc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 47*h - 1290184 = -479584. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.113 - -1.1. Let p = 1.72 - 1.7. Let u = p - x. What is u rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9999.053 nanometers in millimeters?\nAnswer: 0.009999053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44350 - 0?\nAnswer: 44350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -14. Suppose -k + 4 = -a. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 723*v - 39 + 70 as f*v + w and give f.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*z. Suppose -o + 2 = -i, -3*i = -z*i. Suppose -3*a - 3*r + 3 = -27, o = -a + 3*r. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q - 3*q + (0*q + 0*q - q)*(1 - 5 + 1) - 898 + 344*q + 898.\nAnswer: 346*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 24*z**2 - 10*z + 18. Let k be v(25). Let m = k - 189. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 + 2*i**3 + 6*i**2 - 2*i - 4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 126*h**3 + 1836*h**2 - 10626*h + 18513.\nAnswer: 3*(h - 17)*(h - 11)**2*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 4*f**2 - 2*f + 9. Let z be r(3). Solve -52*a = -z*a - 93 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982824 - -1967.91?\nAnswer: 1984791.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njzjzjnnnznjzj. What is prob of sequence jnz?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 4*x, 4*w + 3*x - 18 = 11. Suppose w*h + 18 = g + 2*h, 42 = 5*g - 3*h. Does 19 divide 3*-6*g\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 31*p + 260 = -p. Solve 3*k + 5*u - 22 + 49 = 0, -4*k + 2*u = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 - d**5 - 2*d**2 + 2*d**2 + 10*d**5 + (3 - d - 3)*(d**4 + 3*d**4 + 4*d**4) + 2 - 2 - 2*d**5.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -440821*t**4 + 287624 wrt t?\nAnswer: -1763284*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3588\/(-72))\/(-23))\/((39\/18)\/13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 521*x + 29181. What is i(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*h + 10*c**2*h + 5*c*h + 1087*h with respect to c.\nAnswer: -9*c**2*h + 20*c*h + 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 105 - 305. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -2\/15 (c) -1 (d) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95792536 by -47896268.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1375975, -1375973, -1375971?\n\"Answer: 2*r - 1375977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by -50\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 2, -0.5, 795\/22, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -437*a**6\/5 - 2299*a**3\/6 + 2*a + 3133. Find the second derivative of v(c) wrt c.\nAnswer: -31464*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237887757 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2662906 and 472.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77410891 and 192211?\nAnswer: 8357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 0, 4*w + 32*o = 29*o + 26. Solve 4*c + 4 + w = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 1. Let c be m(1). Let a = 17 + c. Let y(z) = z. Let b be y(6). Calculate the greatest common divisor of b and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 9:56 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a3 - -53?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 36758, -3, -77 in descending order.\nAnswer: 36758, -3, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 96384.\nAnswer: 96384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*c = -26, -2*c = -5*l - 10 + 28. Let m(d) = -213*d**2 - 204*d**2 - d**3 + 1 + 419*d**2. What is m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4024, -16021, -36016, -64009, -100000, -143989, -195976?\n\"Answer: -3999*s**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13794017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 8) in base 3?\nAnswer: -21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212826790 divided by -1289.\nAnswer: 165110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-22219.129.\nAnswer: -44438.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -8218?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18405, 36751, 55119, 73515, 91945, 110415?\nAnswer: 128931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 21*h**2 - 13*h - 57. What is the hundreds digit of i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 15*j**2 - 174*j - 73. Calculate u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1082 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17476747219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 811, 1198, 1567, 1912, 2227, 2506, 2743?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 17. Suppose i - 14 = l + r*l, 4*i - 8 = 0. Let p(a) = -a**2 - 19*a + 21. Let m be p(-20). Sort 5, m, l.\nAnswer: l, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 68*j + 82. Let o(w) = 43 + 35*w - 36*w - 43. Let a(k) = -2*b(k) - 22*o(k). What is the first derivative of a(p) wrt p?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-298)\/((-4)\/3*(-6)\/(-44)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 0*x**5 + x**5 + 8*x**5 - 5*x**5 + x**5 + (3*x**3 - 7*x**3 - 2*x**3)*(2*x - x**2 - 2*x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31707066 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(11\/7)\/(h**(3\/5)*h*h**9*h) assuming h is positive.\nAnswer: h**(-461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52753 divided by -1?\nAnswer: 52753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11824619?\nAnswer: 191, 61909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, 755 in increasing order.\nAnswer: -5, -3, -2, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 727.621774425.\nAnswer: -727.921774425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.25 + 2.15. Put c, 4\/11, 0.05 in decreasing order.\nAnswer: 4\/11, 0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2659 - -3142. Calculate the least common multiple of y and 23.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 8:24 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + (-614)\/24. Let o = -77\/3 - d. What is the second biggest value in 2\/5, o, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0168314ml in litres?\nAnswer: 0.0000168314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/14)\/((-40)\/140). Solve 5 - t = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 54 = 18. Suppose -k + m*l + 36 = -7, 3*l = -k + 13. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-210)\/9*3*1. Let a = n + 117. Suppose 0*i - 2*k + a = 3*i, -2*i + 30 = 2*k. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h**3 + 66*h**3 + 105*h**3 + 70*h**3.\nAnswer: 281*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 398, 430?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -17*q - 70 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 + -6 - 3) - (4 - (67 - 40))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1425 - 5665\/4. Let z = -8 + j. Let w = 5.84 + -0.84. What is the closest to 2\/7 in w, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 163, 2\/3, -62, 1\/2, -1\/42?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26a89 - 1?\nAnswer: -26a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, and 2 r when four letters picked without replacement from {h: 4, d: 1, r: 2, y: 1, e: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = -106. Suppose -k*l + 18575 = -34*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 933455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69486770 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + t + 2*t)*(3*t - 6*t - t).\nAnswer: -12*t**2 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -115*j - 42. Let t be 10\/55 - 230\/55. Let d be h(t). Is d smaller than 418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8287?\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from gzhhghhg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.79 - 1.21. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*y + 20876 = 38901 for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -196. Sort s, -4, 0.\nAnswer: -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1309736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) - 442\/(-85) - (-36)\/18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5755\/4 - -1499. Let k = u - 61. Find the common denominator of k and 13\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*b + 92 = 0, -406*p - 3*b + 101 = -380*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/(y*y**(3\/5)\/y*y))\/y))**(32\/3)*y**(15\/2)\/y**(-9\/10) assuming y is positive.\nAnswer: y**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1))*n*n**(-3))**(-32)\/((n\/(n\/n**(-1)))\/n*n**(4\/7)*n\/n**2*(n\/n**(1\/11))\/n*n) assuming n is positive.\nAnswer: n**(7509\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*o + 8, 3*o + 0 + 3 = 4*f. Let l(p) = p**3 + 4*p**2 + 4*p + 5. Let a be l(f). Solve 3*g + i + a*i = 27, 0 = -2*g - 3*i + 23 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 29*h + 1978. Determine v(-69).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1994917315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84685086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 861 and 12.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(52) + -2*sqrt(52) + sqrt(52) - sqrt(52)) + sqrt(52))*-3)**2 + (6*(sqrt(208) - (2*sqrt(208) - sqrt(208) - sqrt(208))) + -4)**2.\nAnswer: -192*sqrt(13) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/78 and (1 + (-132)\/117)\/(1\/30)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-5) - (12\/(-5) + 2). Calculate the common denominator of l\/(-32) - (-2 - -3) and -9\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 - -9.122\nAnswer: 8.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-18)*g*g*g*g**(14\/3) assuming g is positive.\nAnswer: g**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 2471, 0.5?\nAnswer: 2471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1586*y + 68197. Calculate a(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**3 - 124*v**2 + 1168*v - 2465. Let z(k) = 5*k**3 + 63*k**2 - 584*k + 1226. Let u(x) = -2*q(x) - 5*z(x). Factor u(p).\nAnswer: -(p - 4)**2*(p + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 3:24 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, 1 a, and 1 m when four letters picked without replacement from hefmeyahyhhhhh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, 7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 622*p**2 + 8*p + 5. Let g(l) = -l**3 - 2*l - 1. Give -d(i) - 5*g(i).\nAnswer: i**3 - 622*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-75 - (-71 - -5)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-189)*3*2\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z + 2. Let t be d(-10). Suppose -2*b - 3*j = -t, 0 = 3*b + b + 3*j - 12. Suppose 3*m - m - 30 = b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 822\/11 and 75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycy when three letters picked without replacement from nycylynlyyly.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - s + 6*s - 13*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.48282mg in kilograms?\nAnswer: 0.00006548282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 20*y + 18. Is 17 a factor of r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*z - 3*t, -2*t = 2*z + t - 12. Suppose -z*f = -5*f. Does 5 divide f - (-2)\/5 - 76\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30721*p**2*w**3 + 116*p**2*w - 2*p*w**2 - 2*p*w - 6*w**3 + 8*w - 9 wrt w?\nAnswer: 184326*p**2*w - 4*p - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 3. Sort 2, s, 8 in descending order.\nAnswer: 8, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k - 16. Let o(c) = -4*c + 24. Let i(x) = 7*l(x) + 5*o(x). Let h(b) = 2*b + 17. Let j(y) = -2*h(y) + 5*i(y). What is the units digit of j(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.8 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27349 is divided by 759?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 19?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 210. Let b(y) = -1081*y. Determine k(b(n)).\nAnswer: 9729*n - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-25) + 112548\/15 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129451, -129456, -129463, -129472, -129483?\nAnswer: -129496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*c**3 - 4*c**3 + 5*c**3 - 13 - 2*c**4 as o*c**2 + p + b*c**4 + i*c**3 + g*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggcj. What is prob of sequence gy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 1270026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 6 + 3 + 1)*(2 + 3*o - 2).\nAnswer: 12*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4176496 divided by 4176496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.25 + -2.45. Which is the fifth smallest value? (a) 20 (b) h (c) -3 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -0.3, -0.1, 1\/6, 27?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/294500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.189 * -1.\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (310\/(-40) - -4). What is the second smallest value in -9, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*m + 36, -5*m - 18 = -0*q + 2*q. Let z = 13 + q. Let w = -26 + 30. Calculate the smallest common multiple of z and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + i)*(2 - 4 + 0) + 3*i - i - 3*i + (0 + 4 - 3)*(46500 - 405*i - 46500) + (-6 + 1 + 2)*(0 + 2*i + 0) - 2*i + 0*i + 3*i.\nAnswer: -415*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (2560\/28 - (-8)\/14). Suppose -9*g = -8*g - f. What are the prime factors of g?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -m - 0*k + 2*k, -3*k = 0. What is the remainder when m is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.054 + 0.006. Which is the second biggest value? (a) m (b) 0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {i: 4, x: 1, o: 1, l: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 49 = -4*o. Let n(x) = -3 - 7 + 0 - 3 - 5*x. Let t be n(-11). What is the greatest common factor of t and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 4*b + 92 = -134, 0 = 2*j - 2*b - 62. Calculate the highest common factor of 42 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 4*l**2 + 2*l. Let z be a(2). Let c be 52*z\/(16\/9). Let b be c\/(-130) + (-2)\/(-5). Put b, -2\/9, -2\/13 in decreasing order.\nAnswer: -2\/13, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1100 + -1101. Sort 1.6, 4, k, -2\/5 in descending order.\nAnswer: 4, 1.6, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182958 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12883978.\nAnswer: 2, 6441989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - (0 + -1). Suppose -y - 9 + 3 = 0. Calculate the common denominator of -37\/5 and n\/2*129\/y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a - 1. Let z be l(1). Let b = 34 + z. Let t be (-17)\/(-2) - b\/14. Is 7 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -104.3. Which is bigger: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62400*w**3 - 37336*w**2 wrt w?\nAnswer: 374400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + 101. Calculate the highest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 13*w + 3. Let r(u) be the second derivative of -u**4\/12 - 3*u**3\/2 + 2*u. Let q be r(-7). What are the prime factors of s(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -170986396, -341972784, -512959162, -683945524, -854931864, -1025918176, -1196904454, -1367890692?\n\"Answer: h**3 - h**2 - 170986392*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = 3*t - 81, -4*t + 123 = -3*g. Let u be (-14)\/(-63) - 2690\/g. Calculate the highest common divisor of 320 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-306)\/27)\/(-17))\/((-1)\/(-3)). Sort 1, 4, -4, l in decreasing order.\nAnswer: 4, l, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1814*c + 304211. What is d(-168)?\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-110) + 8\/45.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111845, 111901, 111957, 112013, 112069, 112125?\n\"Answer: 56*r + 111789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sen when three letters picked without replacement from sasseenabs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y + 11. Determine a(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4)\/(1\/4*(-46)\/46).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(55\/20))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(154\/576690) - 4\/22. Suppose -2*d = 217787 + j. What is d rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**5 + 98475*w**2 + 449270*w.\nAnswer: 100*w**3 + 196950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (502*n**3 + 663*n**3 - 178*n**3)*(-n - 166 + 166) to d*n + u*n**4 + c*n**2 + g + l*n**3 and give u.\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13986330 divided by -274?\nAnswer: 51045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*n + 162*n - 80*n)*((-1 - 1 + 4)*(1 + 1 + 0) + 16 - 24 + 6) in the form x*n + f and give x.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((3*-1*sqrt(91) + sqrt(91) + sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*-1)*-3))\/(2*(sqrt(7) - 1*sqrt(448))))**2.\nAnswer: 947\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46637 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109395 and 1354730.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 10*a**2 - 10*a + 3. Let x be b(7). Suppose 3*q - 4*q = -x. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l + 5. What is the lowest common multiple of v(0) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(1573))**2 + (sqrt(156)*-2)\/sqrt(12).\nAnswer: 20*sqrt(13) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 0*d**2 + 2*d**3 + 4*d**2 + 3*d**2 - d**3 - 2. Let x = 5 + 3. What is the remainder when r(-3) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/104, -2, -2\/9, 3\/2, 21.2, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7827, -31313, -70457, -125259, -195719?\n\"Answer: -7829*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/3 + f + 1. Let t be h(-3). Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*g + 8241010, 0 = 2*g + 648 - 638. Round j to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2058775863 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3499 is divided by 973?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + 1.8. Let d = -0.2 + 0.4. Let q = -2.8 - d. What is the third biggest value in q, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2412\/30 + (-4)\/10. Let h = d - 37. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 1539, 3164, 5449, 8400, 12023, 16324, 21309?\nAnswer: 26984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 600\/(384\/(-16)) + 23. Let b(c) = -10*c**2 - 2*c - 3. Let j(f) = 11*f**2 + f + 2. Determine p*b(l) - 3*j(l).\nAnswer: -13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*f*l**3 - 43*f*l**2 - 2*f - 6*l**3 - 2*l**2 + 50*l + 891 wrt l?\nAnswer: 324*f*l - 86*f - 36*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 34 = 5*g + 4*y, -g = -4*y + 7. Suppose 5*p - 250 - g = 0. Suppose 4*n - p = 1. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2*t**2 - t - 2. Let o be h(-4). What is the common denominator of (o\/4)\/(7\/(-8)) and -67\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -22. Suppose 0 = 2*p + 3*k - 8 + 4, 0 = -o*p - 4*k + 12. Solve p*w = -6 + 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3558561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 483451047 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 2 (c) -772\/43 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-49))\/(27\/7).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.78 - -0.22. Put -2\/11, -1\/11, 1\/9, t in descending order.\nAnswer: t, 1\/9, -1\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + p**3 - p**3)*(-16091 + 16093 - 301*p + 2*p**2 + p**2).\nAnswer: -6*p**5 + 602*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5096944823 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -19*i**2 + 351*i - 4. What is the thousands digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4859 and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011111010 (base 2) to base 8.\nAnswer: 11372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/13 + 144216*y**4\/13 + 288424*y**3\/13.\nAnswer: 2*y**3*(y + 2)*(y + 72106)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182*h**5*u**3 - 5*h**5 - 2*h*u - h - 415*u**3 wrt h?\nAnswer: -3640*h**3*u**3 - 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u**2 + 10. Let l be t(3). Let d be l*(-12)\/(-8) + -5. Calculate the highest common factor of d and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 320.8.\nAnswer: 319.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6960)\/261)\/(42\/(-63)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -81 + (-14 - (-14 + -13)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/16 - -5)*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/24328 and -87\/16.\nAnswer: 48656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 26\/56 + 13\/(182\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f = 49*f + 16, -2*f = -4*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.5, 1.113, -2\/5?\nAnswer: 1.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108684460 is divided by 89?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 + -3.9. Let f = -3 + 2.9. Let x = -0.1 - f. Which is the nearest to x? (a) -3 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 10 = 2*h. Let l be 10\/4*(-2 + -3 + -7). Is h\/5*l\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 67*o - 42. Let j be y(-16). Find the third derivative of 121*x**j + 15*x**2 - 108*x**2 - 2*x**6 + 4*x**2 wrt x.\nAnswer: 14280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, g: 2}. What is prob of sequence gnn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-10) - -4*(-451)\/(-44)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5458 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**5 - 281*q**4 - 7*q**2 + 1276*q - 2. Let l(t) = -t**4 - 2*t**2 + 4*t - 1. Let s(y) = -a(y) + 2*l(y). Find the third derivative of s(b) wrt b.\nAnswer: 60*b**2 + 6696*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.6 to the nearest integer.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1487 (b) 0.6 (c) -1\/2 (d) 1\/177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36204 divided by -2.\nAnswer: -18102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -603422.9.\nAnswer: -603423.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 - 267. Let f(m) = -4*m + 34. Let v be f(d). Sort -3, v, -11.\nAnswer: -11, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 5) to base 16.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25205171.\nAnswer: 23, 509, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**4*r + 885*k**3*r**3 - 4780*k**2*r - 2*r**3 wrt k?\nAnswer: -72*k*r + 5310*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983, -991, -999, -1007, -1015, -1023?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 921245350 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-79 - 6) - 28 - 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 15*g**2 + 20*g + 14. Suppose -2*t + 13 = c - 15, 2*c = 0. Let x be z(t). What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2720 = -9*c + 2765 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 3, 2, -84, 4 in ascending order.\nAnswer: -84, 2, 3, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128254 and 1750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-649*d**2 + 506*d**2 - 374*d**2)*(-d**3 + d**3 - 2*d**3).\nAnswer: 1034*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 28 = 2*p. Let w(d) = -d**2 - 5*d - 1. Let u be w(-3). Suppose 0 = -u*y - 3*s - 15, 0*y - 6 = 2*y + 4*s. Sort p, -4, y.\nAnswer: -4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 128 = y + 104. Let t(z) be the third derivative of 0*z**3 + 1\/8*z**4 + 0 + 0*z + 1\/20*z**5 - y*z**2. Determine i so that t(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001305 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(50)\/sqrt(5)))\/(sqrt(2) + sqrt(8)*-4)*4.\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f**3 + 2*f**2 + 8*f - 4. Is 26 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273 and 195?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0188241 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*w - 25 = 1, -4 = -2*f - 4*w. Let k = f + 8. What is the lowest common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 3.041998?\nAnswer: -3.341998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let p = -52393.5 + 52392.499998. Let b = q - p. What is b rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-1\/12)\/v)\/v)\/v*v)\/(v**(-1\/3)*v))\/(v**(2\/11)*v*v*v**20) assuming v is positive.\nAnswer: v**(-1097\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6) + (-1256)\/(-16). Let n be (-1 - 26)\/(c\/(-52)). Are n and 18 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8714 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5796 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 574 + -7?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/(((-24)\/3)\/(-16))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*n = 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 5, j: 3, k: 4, w: 1, g: 1}. Give prob of picking 1 j, 2 i, and 1 k.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163419 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1556 and 13916.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -996977, -997044, -997155, -997310, -997509, -997752?\n\"Answer: -22*y**2 - y - 996954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - m**2 + 1. Let r(g) = g**2 + 2*g - 4. Let x be r(-3). What is a(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07581547 and -2.\nAnswer: 0.15163094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -19, 0.11, 0 in descending order.\nAnswer: 3\/4, 0.11, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64361837 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31796*f**2*o**3 + 879*f**2*o**2 + 10*f**2*o - 2*f*o**3 - 2*o**2 wrt o?\nAnswer: -190776*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*s - 12, 2*s + z - 4 = -0*z. Solve 6 - s = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i = 70*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 314, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21482, -1, 1, -3, 0 in descending order.\nAnswer: 21482, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*g - 36*g**2 - 9*g**3 - 3\/4*g**4 + 0.\nAnswer: -3*g*(g + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55.101 micrograms?\nAnswer: 0.000000055101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10388087.\nAnswer: 491, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rac when three letters picked without replacement from {a: 2, k: 1, r: 2, m: 1, c: 1, b: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.3353 + 0\nAnswer: 2.3353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -r + 5*r. Suppose 9*y = 37*y - 84. Find c such that c + y*c - r - 60*c**2 + 31*c = 0.\nAnswer: 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/303173 and -33\/14?\nAnswer: 4244422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201001010220 + 12?\nAnswer: 201001011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 8.5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/y*y\/(y*y*y\/(y*y**(1\/5))))\/((y*y\/(y\/y**(1\/7)*y))\/y**(1\/12)) assuming y is positive.\nAnswer: y**(5519\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + (-1)\/3. Suppose -14*i = 15*i - 58. Suppose g = 3*o - i*o - 2. What is the greatest common divisor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/59, -285, -2\/21, -5 in descending order.\nAnswer: 4, -5\/59, -2\/21, -5, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - -11) + (1 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3961*v = -3988*v + 270 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = 5584*v - 5573*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*l = -229*l + 14. Suppose 1237 = l*j + 3*v, -5*j + 392 = -v - 2726. List the prime factors of j.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 12*t**2 + 10*t + 13. Let q be o(11). Suppose 0*x + 2*x + 2 = 0, -5*w - q*x = 2. What is the biggest value in -1\/7, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 + -10111?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let g be (-2 - -5)\/(9*(-1)\/(-6)). Let m(i) = 16*i**2 - g*i + 3*i + 0*i. Determine k(m(a)).\nAnswer: -256*a**4 - 32*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -91487 divided by 1?\nAnswer: -91487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.011562109 + -0.01156. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(480\/(-2538)) - 1\/(-8). Let r = 55 - o. Solve -5*c = -r*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 230 - 1353 = -2*p, 4*p + 1559 = 5*f. Let a be (-10)\/f - (22\/(-18) + 1). Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.05 - -85.45. Which is the closest to z? (a) 2\/3 (b) 3\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110110010010001000 (base 2) to base 7\nAnswer: -1614143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 8 + 80 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*i - 1 = 0, -35*z + 34*z - i = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 + 4*s - 3. Let p be v(1). Let w = -328 - -326. Which is the nearest to 1? (a) 0.1 (b) w (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 171207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/8)\/(-7*(-8)\/(-145824)). Is z <= -5209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.1452 to one dp.\nAnswer: 78.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5528708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001729759525 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -240013 (base 7) to base 15\nAnswer: -cc1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26011 and -13625796?\nAnswer: 13599785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 2. Let f(i) = 3*i**2 - 5. Let n(r) = -2*f(r) + 5*m(r). Let w(d) = 2*d**2. Determine n(w(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001110 + -110110000?\nAnswer: 1100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102.645872 * 4\nAnswer: -410.583488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/4 + 8915*c + 35656 = 0.\nAnswer: -35656, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -12) + (-4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 + 8*g**2 - 8. Suppose 0*p = -2*p - 4*w + 28, -4*w + 20 = p. Let v(i) = 4*i**3 + 5*i**2 - 5. Determine p*v(r) - 5*a(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8433679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96400 and 3800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -19, -3, 29, 83, 165?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.2. Let f = 0.1 + h. Let p = 0 - -1. Which is the closest to p? (a) 2\/17 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 35451, 7.59?\nAnswer: 35451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.761 times 4\nAnswer: 3.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 3*x + 120 = 0, 924*p - x = 920*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*h = -278*h + 9537 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*l - 689, 1730 = 5*l - 5*n - 0*n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 176, 173, 170, 167, 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153 + 81 + 72 + 499*i**3 - 1283*i**2 + 796*i**3 wrt i?\nAnswer: 7770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 8*j**4 - 24811620*j**3 + 38475993221577*j**2\/2 + 28857036785805*j + 21642788056761\/2 = 0.\nAnswer: -3\/4, 1550727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4813 - 1477 = 0. Let i be 6\/(-10) - s\/1720. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010110 + 110111?\nAnswer: -1111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 11:45 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, v: 1, s: 1, q: 1}. What is prob of picking 1 q, 1 s, and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28653556741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.6 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -u + 5*u - 2, i = 5*u - 5. Suppose w = -w + i. Solve k - w = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 171*d + 1 + 171*d + 5*d**3 - 4 to m*d + x*d**3 + b + z*d**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h + 29*h - 5*h + h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -21*j**2 - 111*j - 2. Let w be g(-5). Solve 294 = w*r + 21*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1201114202 - -4?\nAnswer: -1201114143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3675552, 7351103, 11026654, 14702205, 18377756?\n\"Answer: 3675551*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 46357896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*j + 2*o, -4*o = 2*j - 20. Suppose 3*w - 20 = -j*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: Let x(q) = q**3 + 5*q**2 + 2*q + 1. Let s(l) = 2*l**2 + 3*l - 4. Let u be s(-3). Suppose -4*r - 3*f = -u*f + 4, 0 = -f - 4. What are the prime factors of x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {t: 3, e: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 63 + 81 = 0. Let t be (v\/8 + 4)*694. Let x = t + 2077\/6. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Let u = 11 + 3. Suppose -u = -4*j + t*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + x = -6*d + 15, 6 = 2*x. Solve -5*f - 15 = d*u - 0, 15 = -3*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q**2 - q + 1. Let d be i(-3). Let v = 7 + d. Let g = v + 3. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.49 and 7.1.\nAnswer: 6.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -256?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 110. Let g be (20\/(-50))\/((-1)\/d). Solve 5 + 11 = g*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let r be 624\/252*(392\/3)\/4. Let u = r - 81. Is s greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 + 1 = 0. Suppose -i + w = -2. Is 4 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23\/44 - -3\/11. Calculate the common denominator of u and 2\/(((-24)\/(-61))\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c = -20. Solve c = 2*u - 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 83\/(-415) + 8\/(-10). Sort t, 22, 1 in decreasing order.\nAnswer: 22, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 229 = 217. Suppose 3*g = 5*f + 11596, -4*g = n*f - 8615 - 6857. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 185, 343, 507, 677?\n\"Answer: 3*p**2 + 149*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**3 - 18*c**2 + 17. Let y(n) = -3*n**3 - 6*n**2 + 6. Let u(b) = 2*b**2 + 11*b - 4. Let k be u(-7). Let d(z) = k*y(z) - 6*s(z). Factor d(a).\nAnswer: 3*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*u + 12784 = -222*u. Do -797 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:48 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**3 + 0*g**5 + 0 + 0*g**6 - 233\/12*g**4 + 0*g**2 + 89\/21*g**7 + 143*g. What is the third derivative of x(o) wrt o?\nAnswer: 10680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i + 337*i + 8*i + 139*i + 55*i.\nAnswer: 553*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2 + 2*v. Give x(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 2, o: 1, l: 2, p: 2, f: 1}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1)\/(6\/(36\/(-30))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 8*h**2 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-96))\/(4\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -103*m - 3090. Let d(y) = -10. Give 309*d(r) - n(r).\nAnswer: 103*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(88)*1 + sqrt(88)))\/(2*sqrt(12)\/sqrt(3)))\/(sqrt(44)\/sqrt(16) - (sqrt(11) - (sqrt(44) - 1*sqrt(44) - sqrt(44)))))**2.\nAnswer: 32\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1742, -3298, -4854, -6410?\nAnswer: -7966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 11) to base 14\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - 3*a**2 + 7*a - 21. Suppose -4*s + 15 + 5 = 0. List the prime factors of g(s).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**8\/3 - q**5\/60 + q**3\/3 - 115*q**2. What is the third derivative of z(k) wrt k?\nAnswer: 6720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 36 = 3*l, -s + 12 = 4*l - 21. Let o(y) = y**3 - 5*y**2 + 2*y - 3. Let p be o(3). Let r = p - -21. What is the highest common factor of r and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8 = 3*z - 3, 2*k = 407*z - 401*z + 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -6\/11 (b) 5 (c) -23\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113\/2 - -58. Which is the third smallest value? (a) g (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -35. Suppose -3463 + 63 = -s*n. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 3920*t + 11729. Calculate w(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -t + 4, -8 = -0*t - 2*t - r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/35 (b) 4 (c) -0.02 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 - 78. Let u be (-78 + -2)\/((-2)\/2). Suppose 3*t + l = 2*o, 3*o + 5*t = u + 11. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -21, 1, 109, -8, -2 in increasing order.\nAnswer: -21, -8, -2, -0.2, 1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.586 and 0.4.\nAnswer: 0.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = l + 3*b, -2*l + 5*b + 53 - 2 = 0. Let p = l - 18. Calculate the highest common factor of p and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m = -9. Let x = 18 - m. Let o = 53 - x. What is the greatest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -50.2. Let t = q - -10.3. Which is the closest to 0.1? (a) 1\/2 (b) -4 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -4015 - 953. Let q = r + -413. Solve -3*j + 5 - q = -2*m, -j + 4*m = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 27 = -9*d + g, -4*d = -g + 36 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 63*n**2 + 4*n - 3. Let j(f) = f**2 - 3*f + 1. What is -3*j(v) - o(v)?\nAnswer: -66*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 32*w + 156. Give f(27).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let m(r) = 12*r. Give 35*b(z) - 5*m(z).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -322 - -789. Let o = g + -231. Suppose 0 = -5*f + o + 74. What is the remainder when f is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.43 - -9.13. Let p = -8 + z. What is the third biggest value in -1\/4, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*w = 238*w - 81 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) -49 (c) 143 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -10.9, -18, 2\/15, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/390797 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyjddiyj. Give prob of picking 1 d and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 264858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/5, 1, 0, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3382813 and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 7, 45, -2\/5, -9\/10, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + 47*m**2 + 25*m + 41. Determine g(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-549)\/(-21)*1\/(-9) and -49\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 91 = -4*o, 0 = -3*p - 11*o + 13*o + 175. Let a(f) = -900*f**2 - 63*f + 63. Let q(h) = -72*h**2 - 5*h + 5. What is p*q(k) - 5*a(k)?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/37, -5, 1\/143, -3.2, -2?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 + 2*l**2 - 9*l - 7. Let j(y) = 6*y**3 + 3*y**2 - 9*y - 9. Let z(c) = 4*j(c) - 5*k(c). Determine z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.9276 and 471.15938.\nAnswer: 484.08698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947101.\nAnswer: 13, 19, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32*(-1 - 0)\/(-2). Suppose 0*g - 3*g = -432. Calculate the highest common divisor of g and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12679*d*k**2 - 8343*d + 10*k**2 + 11 wrt k.\nAnswer: -25358*d*k + 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - -333880?\nAnswer: 3338a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1220?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.99100581 + 0.991. Round l to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 - v**3 - 7*v**3)*(1 - 1 + 1)*(0 - 4 + 3) to o*v + c + w*v**3 + k*v**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 120, -496, -3, -1\/4, -2, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 815 or 819?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118938 by 6.\nAnswer: 19823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39 - (10 - (2 + 2)). Let j be 118\/6 + 4\/(-6). Suppose -16*c - q = -j*c. What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363 - p + 127*p**3 - 2*p - 10 - 2*p - 125*p**3.\nAnswer: 2*p**3 - 5*p + 353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*2\/2*1980\/(-630).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59093*t + 19177?\nAnswer: -59093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/((-31)\/(-155)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*m**2 - 1 - 33*m**2 + 106*m**2 + 66*m - 29*m**2 to the form v*m**2 + j + b*m and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - 2*x - 3*x)*(x**4 - x**4 + x**4) + 31*x**4 - 6*x**3 - 29*x**4 + 7*x**3 + 38*x**5.\nAnswer: 40*x**5 + 2*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*l + 18*y - 22*y, 0 = l + 5*y + 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -0.1, 1\/8 in descending order.\nAnswer: 1\/8, -0.1, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 93*v**2 - 7*v + 9. Let i(o) = 93*o**2 - 6*o + 8. Give 6*h(u) - 7*i(u).\nAnswer: -93*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24452*x**2 - 821 - 2*x + 20*x**3 + 24452*x**2 + 5*x - 2251 wrt x.\nAnswer: 60*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/111568948?\nAnswer: -5\/111568948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*a - 268 = 2084 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -55*z**2 + 4*z - 3. Let u = 32140 - 32144. Let b(o) = -110*o**2 + 7*o - 5. Determine u*b(j) + 7*w(j).\nAnswer: 55*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26009381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 2282, 4, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (12\/3 - 4) + 0. Let r(k) = -5*k - 2. Let l(y) = y. Let m = 13 + -14. Let g(s) = m*l(s) + r(s). Determine g(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 + 1. Give q(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6815 - -3?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-10))\/(-4 + (-129)\/(-30)). Suppose -i - 15 = -x*i. Let g(v) = -v + 4. What is g(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 174, 156, 126, 78, 6, -96?\n\"Answer: -w**3 - 11*w + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -508, -510, -512?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/49 - (-120)\/(-10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198440 divided by -820?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 262867537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 21*y - 2174 + 662 for y.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12281 or -16862?\nAnswer: -16862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 32, 0, -1, -3, -6 in descending order.\nAnswer: 32, 16, 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97650629 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -10*l - 1. Let u be 3*(0 + 1) + 1. Suppose 13 = -u*c - 7. Is r(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 2*i + 2*i)*(-3*i + 4*i + 5*i) + (7*i + 16 - 17 - 34*i)*(i + 3 - 3) to p*i**2 + o*i + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 22. Let c(z) = 2*z**2 + 4*z + 3. Calculate c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 4 - (-8)\/2 - 281. Let t = h + 279. Suppose 10 = 2*j - 2*y, 4*y - 5*y = -2*j + 7. Solve -t*u - j - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 207289 or 1658301\/8?\nAnswer: 207289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 30 + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b10bd (base 15) in base 14?\nAnswer: 264d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/3 - 14798*f**2\/3 - 9141440*f - 63748608 = 0. Calculate f.\nAnswer: -3696, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479 + -482.98. Let d = v - -4. Let t = d - 0.02. What is the nearest to 0.1 in 0.4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in -1\/3, 1.2, 7\/236?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016*a = -2041*a + 725 - 25 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 10*r. Let p(q) = -3*q**2. Determine a(p(m)).\nAnswer: -18*m**4 + 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 12, 4*r - 5 = -4*m + 7. Calculate the lowest common multiple of r and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 12*y. Suppose -v + 3*l - 13 = 0, 2 = 3*v + 3*l - 7. Let z be (3 - 1)*-7 - -2. Let d(n) = -n. What is v*h(a) + z*d(a)?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + l - 8 = 0, -5*b - 3 = 30*l - 33*l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 234, 244, 258, 276?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.892 - 0.108. Let o = n - -69. Let s = -0.03 + 0.27. What is the smallest value in s, o, 5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -10, 0.4, -1.1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 16. Let a be r(16). Solve -3*y - 4*t - 2 = t, a = -y + 4*t - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 8. Suppose 0 = 8*h + h + 54. Give b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 117 = 1099*o - 1104*o, -2*a = -3*o + 79. Calculate the remainder when 596 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 104*o**3 - 3718*o**2 - 52728*o - 257049 = 0. What is o?\nAnswer: -39, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 228800 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55019138 to the nearest integer?\nAnswer: 7417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 17387 (c) -1 (d) 3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -768, -3049, -6850, -12171, -19012, -27373?\n\"Answer: -760*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -2*n**3\/3 - 28*n. Give c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 7 = 5*m - 15*f, 0 = m - 2*f - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 + 4*p - 3. Let k be n(2). Let z be (-6)\/((-3)\/1) - -2. Suppose -5*c + z = -6. Is c bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-5 - (7 + 19))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2 - 2\/(-1)). Let j be (-3)\/n*2\/(-1). Suppose -678 + 144 = -j*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (50\/4)\/5*(24 + -22). Suppose 3*f = -3, f = -4*z - 2*f + 13. Suppose -z*j + 19 = -21. Calculate the highest common factor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.2. Let k = 1.4 + -1.2. Which is the fourth smallest value? (a) g (b) 2 (c) 0 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 - 12*p - 15. Let d be h(-2). Calculate the highest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 891, 892, 893, 894, 895?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtpimxg. Give prob of sequence gm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -16*c + 11*c. Suppose -5*l - 2*r + c = 3*r, 14 = l + 2*r. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = 11. Suppose -l = -8*y + 6. Solve -y - 14 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864013?\nAnswer: 883, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.90156 - -2.\nAnswer: -5.90156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 37. Let z(d) = 8*d - 85. Let b(v) = -13*u(v) - 5*z(v). Let w(k) = -k**2 + 36*k. Give b(w(q)).\nAnswer: q**2 - 36*q - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15522 and 2676948.\nAnswer: 34800324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -125960 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 3974940*u**2 + u**3 + 3974887*u**2 + u**3. Let c(i) = -i**3 + i**2. Determine -b(n) - 4*c(n).\nAnswer: n**3 + 49*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 774886.2 days in hours?\nAnswer: 18597268.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954786, -954792, -954808, -954840, -954894, -954976, -955092?\nAnswer: -955248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 + 3*h - 6. Let o(m) = 6*m**2 + 4*m - 7. Let t(w) = -4*o(w) + 5*s(w). Let n be t(-2). Is 22 - (n + -2 - -1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 360*d - 3744.\nAnswer: -4*(d + 12)*(d + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1 + sqrt(136))\/sqrt(8) + 2 + 0 + 2*sqrt(51)\/sqrt(3) - (-5*1*(sqrt(1700) - (3 + 1 + sqrt(1700))))**2.\nAnswer: -398 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16756004.79ms in weeks?\nAnswer: 0.027705034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + g + 0*g)*(-4*g + 3*g + 0*g)*(5 + 4*g**2 - 5) as b*g**3 + f*g + u*g**4 + k + m*g**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/3 - 28*y**2\/3 - 25*y\/3 + 18 = 0.\nAnswer: -27, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -315*s. Let i(h) = -1580*h. Calculate z(i(f)).\nAnswer: 497700*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 - 276*l**4 + 4408*l**3 - 19632*l**2 + 23904*l = 0 for l.\nAnswer: -83, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 0*u = -376 + 432 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u, -4*q + 5*q - u = 9. Suppose y + j = -y - q, 0 = 2*j + 8. Which is the second smallest value? (a) y (b) 0.2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1039, -1056, -1073, -1090, -1107?\n\"Answer: -17*m - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-60)*15\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75858509?\nAnswer: 211, 233, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 617*t**2 - 943*t - 5599. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nss when three letters picked without replacement from {s: 3, n: 12}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1138, 1, -4, -8, 106, -1 in increasing order.\nAnswer: -8, -4, -1, 1, 106, 1138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)\/q*q*q*q**(-1)*q)**(5\/6)\/((q\/q**(-1\/5))\/(q*q*q*q*q\/((q*q**(-1\/4))\/q))*(q\/(q\/(q\/(q**(2\/7)*q)*q))*q*q)**(4\/7)) assuming q is positive.\nAnswer: q**(2143\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23129043 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 24332128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 231774198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4170859 and -29\/798.\nAnswer: 475477926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-14 + 16)) + 6 + (1 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.8 + -22.4. What is the second smallest value in -1\/9, 3.26, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.51, 4\/7, 234 in descending order.\nAnswer: 234, 1, 4\/7, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b + 304. Calculate v(-45).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/3 or -6.7?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/8)*t**(-5) assuming t is positive.\nAnswer: t**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8136*i + 8122*i - 14, -4*i = 4*u + 28 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -0.9. Let r = 33 + -23. Let i = r - 9.9. What is the second smallest value in -2\/7, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 32*a + 12748. Give l(-72).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:43 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 60 + 19)*(2*m - 4*m - 2*m) in the form x + d*m and give d.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8 - z - z + z. Let u = -898 + 748. Let t be (-80)\/(-180) + u\/(-27). What is d(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 375 + 4*o - 19*o + 187 + 191.\nAnswer: -22*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72.7 - 0.7. Let x = -45.5 + c. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - x + 5*x)*(558*x + 290*x + 550*x) - 3*x**2 + 4*x**2 - 3*x**2 in the form y*x**2 + a*x + k and give y.\nAnswer: 2794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2491374 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:27 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmmmfsssssf. What is prob of sequence ms?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let b = -282 + 285. Suppose -b*q - 6 = -y*q. Let k(t) = t**3 - 4*t**2 + 3*t + 3. Give k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2658 + -1594. What is the highest common divisor of m and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -6*i - 59. Suppose -5*m = -w - 4 + 14, 2*w - 8 = i*m. Solve w = 3*a + 3*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - (-8 - 9120\/36). Let r = c + -259. Solve r*q - 8 = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359346919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1031 - -1112) + (7 - 98).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008461 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*n + 312*n + 10929 + 5687 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*d + 27*d + 78 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**5\/6 - 1795*u**4 + 128545*u**3\/6 - 8870*u**2 - 117810*u = 0?\nAnswer: -2, 0, 3, 11, 2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 49 = -u - 3*x, 4*u - x = 53. Suppose -u = -5*d + 7. Calculate the least common multiple of 6 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 228*m - 468.\nAnswer: 3*(m - 78)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.93 + -12. Let v = -23.56 + 23.48991. Let s = v - d. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62228 = -4*j - 2*d, 3227*j - 3225*j + 5*d = 31146. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l - 11. Let g be a(-2). Suppose 4*n + g - 25 = 0. Suppose 0 = -n*c + 14 + 1. Solve 3*t = -0*t - c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - 2 - (-1421 - -1361)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + 2 + sqrt(3) + -1)*-5 + -3 + -1 + sqrt(9)\/sqrt(75) + 0)**2.\nAnswer: 1332*sqrt(3)\/5 + 18453\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - 2*l**3 + 4*l**3)*(-2*l - 7*l - 8*l).\nAnswer: 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 226, 4 in decreasing order.\nAnswer: 226, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5220 + 10 + -10 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*j + 3*j. Suppose j*b = 15, -4*l + 86 = -0*l + 2*b. What is the units digit of (3*l\/(-36))\/(15\/(-54))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1*-7 + -2. Let v = 2 + 5. Let r = w + v. Let t(s) = s**3 + s**2 + s - 7. Determine t(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*66\/99\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153410 and 1170677?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 3 + h - 2. Let a be (-1)\/(-1) - (-9 + 9). Calculate r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m - 112. Let b(j) = j + 1. What is -a(l) - 3*b(l)?\nAnswer: l**3 - l + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-2)\/(-4)*2 - 2). Suppose 6*y - 2*y = 0. Solve -v + 7 - q = y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 15.20199 milligrams?\nAnswer: 0.00000001520199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*n + 21, -3*n - 2*z + 24 = 3*z. Suppose -n*x + 8*x + 15 = 0. Let y be (-2)\/2 - 9\/(-11). What is the smallest value in x, y, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30 (b) 1 (c) 3 (d) 2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 20. Let y(j) = 7*j + 1. What is the tens digit of y(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/2, -5, -5513, 0 in descending order.\nAnswer: 3\/2, 0.1, 0, -5, -5513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7489, -60951, -206069, -488671, -954585, -1649639?\nAnswer: -2619661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 45993197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2368 - -102. Is 65 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*b + 2315 = -440, -3*n - 1642 = -b. What is the common denominator of n\/12*54\/2187 and -20\/11?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - v + 25 = -1, -110 = -5*o - v. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, o: 2, s: 1}. What is prob of sequence nas?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -30*p - 69. Let w be ((-34)\/6 - (-9)\/(-27))\/p. Let -1\/2*y**4 - 3\/2 - y + y**w + 2*y**2 = 0. What is y?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u + 5. Let b(d) = -d**3 - 3*d**2 - 5*d - 7. Let c be b(-3). List the prime factors of r(c).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 1703*k**3 - 4 + 3386*k**3 - 1695*k**3 to the form l*k**3 + g*k**2 + f*k + i and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -3. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {q: 1, e: 1, c: 2, f: 2, d: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 1\/9 (c) 1\/6 (d) 4687 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 14) + ((6 - 10) + 4 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742560 is divided by 742324.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7070, -13587, -20122, -26675, -33246, -39835?\nAnswer: -46442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5075, -5074, -5073, -5072, -5071?\n\"Answer: s - 5076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87135380.\nAnswer: 2, 5, 499, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 4, -0.1, 6\/31 in decreasing order.\nAnswer: 4, 2, 0.2, 6\/31, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3763 - -3574.7. Let y = g - -188. What is the closest to 4 in -2, y, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*w - 29*w + 166*w - 14*w.\nAnswer: 71*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - -2655?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8581746 to the nearest integer?\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u**2 + 2*u**3 - 4*u**2 - u**2 + u - 3*u as c + t*u + a*u**3 + z*u**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042074816 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 399 - ((-1 - 2) + 0). Is ((-1)\/(-3))\/(2\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 287*a**2 + 274*a - 4023. Calculate v(-288).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(550\/(-20)))\/((7\/30)\/(-7))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 211640 and 16107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/23))\/((s*s\/s**10)\/s)*(s*s*s\/(s**(-2\/3)\/s))\/(s*(s*s\/(s*s**(5\/9)*s))\/s) assuming s is positive.\nAnswer: s**(3169\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**4*i**2 + 32947*h**2*i**2 + h*i - 124046*i**2 wrt h?\nAnswer: -60*h**2*i**2 + 65894*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*y - 191, 2*y - 6*l + l - 102 = 0. Suppose y + 14 = 5*n. Let z be ((-6)\/n)\/(-1 + 4\/5). What is the nearest to z in 3\/7, -2\/7, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 2. Let z be g(-7). Suppose -s = -4*a + 28, 0*s - 3*a = -s - z. Let i = 14 + s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 627, 0.4, -220 in increasing order.\nAnswer: -220, 0.4, 627","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 3560. Suppose -2*c - t = -12*c. What are the prime factors of c?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13125.6 years to decades.\nAnswer: 1312.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -140, -281, -422, -563, -704?\n\"Answer: -141*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 473*v. Let q(c) = 1982*c - 1038*c - 945*c. Give q(s(y)).\nAnswer: -473*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.9 - 30.899155. Round u to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.7 + 56. Let g = w - 51.3. Let l = g - -50. Which is the second smallest value? (a) l (b) 1\/3 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5000\/3 + 3285\/2. Find the common denominator of 298\/30 + 4\/6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42564*h**2 - 780*h**2 + 30227*h**2 + 100.\nAnswer: 72011*h**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(20*z - 18*z - 113 - 30).\nAnswer: 4*z - 286","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 612 - 590. Suppose 35*n - o*n - 2119 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -931*u + 43765. Determine i(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -35 (b) 59 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3782628\/5 or -756525?\nAnswer: -756525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*s = y - 704*s - 54, 0 = -5*y + 5*s + 60 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 34*y. What are the prime factors of b(2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 182. Let o(v) = 4*v - 11. Let n be o(6). Calculate the highest common factor of n and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -440*d**3 - 2*d**2 + 2*d + 4. What is the thousands digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 49, 5 in increasing order.\nAnswer: 2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0*s - 3388 - 2*s - 3392 + 6780. Suppose -20 = 7*a - 2*a. Let d be l(a). Solve 0 = -y + 3*y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x - 5. Let z = 3596 - 3423. What is the remainder when z is divided by k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323747 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/11)*p*p)\/p**(-1\/10))\/(p\/(((p\/((p*(p*p\/(p**2*p))\/p*p*p)\/p)*p)\/p)\/p*p))**(-39)*((p*p\/p**0*p*p)**(-36))**(8\/7) assuming p is positive.\nAnswer: p**(-124053\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, -8, 76, -0.5, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/22 - 6\/11. Let v be (7\/((-196)\/(-16)))\/(40\/28). Which is the closest to t? (a) v (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 3*j**2 - 119*j**2 - 252*j**2 as a*j**2 + m + x*j**3 + v*j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -54. Let u be 1\/((-2)\/(-3))*z\/(-3). What is the derivative of -u*f**4 - 116*f**2 + 116*f**2 - 20 wrt f?\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.36182 from -280.4.\nAnswer: -280.76182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/30*b**6 - 3*b + 0*b**4 + 0 + 0*b**2 + 0*b**5 + 1\/6*b**3. What is the second derivative of p(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33965.12 - -33965. Suppose 5*g - 7 = 2*j + 4*g, 4*g - 8 = 4*j. Let r be (-3)\/j - (-44)\/(-60). Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (1 - 3) + -3 - 43) + 2 + 1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((684\/24)\/19)\/(76\/(-114))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 218765928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2926?\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/((-12096)\/196))\/((-2)\/(60\/(-14))).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 b when three letters picked without replacement from {m: 1, g: 1, k: 4, b: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 84*h + 88*h = 18, 0 = -5*h + 15. Let a(z) be the second derivative of 0*z**2 + 0 + 1\/6*z**m + 1\/4*z**4 - 18*z. Calculate a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11000652, -11000653, -11000654, -11000655?\n\"Answer: -s - 11000651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 7*k. Suppose 9*a - 3 - 24 = 0. Let u(r) = -r**2 - 6*r. Give a*u(d) + 2*i(d).\nAnswer: d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-8))\/(-9)*(-34)\/6*(-50778)\/4641.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**3\/6 + f**2 + 1113*f. Suppose 4*d - b = -0*b - 16, 20 = -5*d + 3*b. Let n(y) = -y - 5. What is d*n(a) - 10*s(a)?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 9*i**3 - 11*i + 11. Let p be (286\/39)\/(((-4)\/(-3))\/(-2)). Let m(k) = -5*k**3 + 6*k - 6. Calculate p*m(f) - 6*c(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 48, 32, 14?\n\"Answer: -y**2 - 11*y + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*j**3 + 3*j**2 - 3*j**5 + 102*j**3 - 202*j**3 - 3*j**4.\nAnswer: -3*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 27 + -20 - (-6 - -9)) + (0 - -41).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utttbjubguw. Give prob of picking 1 j, 1 b, and 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 4*u - 47*u = -180 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -19 + 1 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 6. Let c(f) = 2369*f**2 + 207*f - 10350. Let k(l) = 23*l**2 + 2*l - 100. Let i(p) = -4*c(p) + 414*k(p). Give q(i(h)).\nAnswer: -276*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = -2*j, -3*u + 4*u + 1 = 5*j. What is the third derivative of 4*b**2 - b**3 + j*b**3 - 3*b**2 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + y - y)*(-4*y**2 + y**2 + 0*y**2)*(17*y + 15 - 15).\nAnswer: 255*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Suppose 3*o = z + 14, x*z - 5*o + 22 = -2*o. Let d be z\/10 + (-36)\/(-5). Solve -20 = -d*y + 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - 408 + 255 + 380 + 223.\nAnswer: -4*i + 450","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46439902 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - n + 2335 = 0, 5*l + 6*n = 7*n + 2325. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1195 and 5310.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n + 10*n + 69*n**2 + 81*n**2.\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/2*(-66)\/352.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3130 in ascending order.\nAnswer: -3130, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 40*t**2 - t - 97. Is a(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + -6*(3 + sqrt(720))) + -1)*5*1 + 1.\nAnswer: 436 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 52 - 186 + 2273*y + 59 + y**2 + 46.\nAnswer: y**2 + 2273*y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -5*p, 3*p - 4 - 12 = -4*v. Solve 2*g - 4*g = v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -2\/9 (c) -3 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 47. Let o = -5.7 + 0.7. Let g be 1\/((-6)\/(6 + -3)). What is the closest to 0 in o, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x**(-7)*x))\/(x\/(x*x**(2\/3)\/x)))\/((x\/((x*x\/x**(-2\/7))\/x*x))\/(x*x**(-6)*x)))\/((x**3)**(-25))**(-22) assuming x is positive.\nAnswer: x**(-34609\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5417528l?\nAnswer: 541.7528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1815 - 655214\/361. Let a(k) = 2*k - 27. Let r be a(13). Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -12 + 6 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 - 53. What is the smallest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - r)*(0*r**3 - 3*r**3 + 2*r**3) - 519*r**4 + 238*r**4 - 4*r**2 + 229*r**4.\nAnswer: -51*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6) + (-25)\/(-80)*28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j**2 - 4. Let b(x) = -1. What is -4*b(r) + k(r)?\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 51 = -4*x, 5*x + 2*u + 12 = -48. Let h = -11 - x. Suppose 324 + 309 = h*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 235, 502, 875, 1354, 1939?\n\"Answer: 53*q**2 + 2*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42159437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wumk when four letters picked without replacement from {k: 5, u: 2, w: 1, m: 1, v: 3}.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6846*i + 68448. What is d(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -1 (c) -0.02 (d) 0.08 (e) 1\/85\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/(4304\/2148 - 2). What is the common denominator of o\/40 + 65\/13 and -107\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y**2 + 3*y. Let v(d) = 3*d + 3. Suppose 3*b = 2*f - 8, 13 - 5 = -2*b + 2*f. Let o be v(b). Give q(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 290*t + 4205.\nAnswer: 5*(t + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 509 - 389 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -183. What is the third biggest value in -3, b, -1\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.077, -0.5, -16, 4.7 in ascending order.\nAnswer: -16, -0.5, 0.077, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1072? (a) 0.4 (b) -85 (c) -52 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 2*v + 2. Let d be y(2). Suppose 3 = -3*f + 24. Suppose -f = -z + d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*i**3 + 0*i**3 - 8*i**3 + (1 + 2 - 4)*(5 - 2*i**3 - 5).\nAnswer: -23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23826154 (base 9) to base 12\nAnswer: 3a9a087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 26*w**3 + 16 - 10 + 3*w - 12 to p + f*w**2 + x*w**3 + i*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*p - 85*p - 3. What is the greatest common divisor of p and 66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**3 - 2*c**3 + 3*c**2 - c**3 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 6*z**2 - 8*z + 7. Let m(o) = -3*o - 11. Let b be m(-11). Let y(s) = 2*s - 5. Let g be y(4). Suppose 0 = -g*u + b - 7. Give f(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*l + 172*l + 360*l + 30*l.\nAnswer: 375*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -48. Let u = 114 - x. Calculate the greatest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 15*m + 0*m**2 - 8*m - 7*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1497 at most -1496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 27322686.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5 - 8*m + 1 + 7*m. Let i be a(3). Solve 2*q - i = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (12 + -14 - (0 + 271)). Suppose 5*g + 4*i + j = 0, 0*g - 4*i - 102 = 2*g. Let l = -27 - g. Calculate the remainder when 147 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 19, 0, 3, -11 in decreasing order.\nAnswer: 19, 12, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/9)*y)\/y**(4\/13) assuming y is positive.\nAnswer: y**(185\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -52. Let k = 25 - y. Suppose k*h = 2*h + 125. Which is bigger: 23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5708.994162 + -5709. Round p to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 452*r**3 - 12264*r**2 + 33568*r - 21760 = 0.\nAnswer: -136, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkkmjmknjkhmhn. What is prob of picking 2 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 + 168. Let z = -7 - l. Which is the smallest value? (a) 3 (b) 1 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) 4 (c) -1 (d) -13 (e) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19318136 divided by 508372\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/((-1)\/3)*-1. Suppose 5*w - v*w = 52. Let s = w - 18. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**3*o**2 - 73*l**2*o - 2*l**2*p + 39*l*o**2*p - l*o*p + l*o wrt l.\nAnswer: -12*l*o**2 - 146*o - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -216084\nAnswer: 2160.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10024?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k - 39*k - 230 = 0. Calculate the greatest common factor of 575 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3\/2, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11490 = -4*w + 5*x, -6*w + w + 3*x = -14356. Suppose 2492 = 3*n - t - 390, 3*n + 5*t = w. What is the greatest common divisor of n and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 200. Let y be 1728\/48*(8 - 4). What is the greatest common factor of y and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -251224638.\nAnswer: 1\/251224638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 2*q - 14 = 25*s, 5*q = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59088 + -18253. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222033 - 302011?\nAnswer: -13312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 8*i - 468 + 611 = -2*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/7 - 1062*h**2\/7 - 21321*h\/7 + 22380\/7.\nAnswer: 3*(h - 373)*(h - 1)*(h + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1822 - 1896. Sort b, 5, -4, 1 in decreasing order.\nAnswer: 5, 1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*w - 40, 3*w = 4*d + 8*w + 35. Let u(j) = j**2 - 8. Calculate the remainder when u(d) is divided by 3\/(((-12)\/(-40))\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26e52 (base 15) to base 8\nAnswer: 363467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*z**3 - 25884*h**3*z**2 - 97*h*z**3 + 3*z**3 + 2*z**2 - 6*z wrt h?\nAnswer: 6*h*z**3 - 155304*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*f + 17, 2*f - 3*p + 7 + 2 = 0. Suppose 0 = -g - 3*y + 2*y, -12 = -g + 5*y. Let o be (g + -3)*-3 + 0 - -1. Solve -o*v = -v - f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 times -251\nAnswer: 28865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.2 (c) 0.092 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -51*w**2. Let t(x) = -80*x. What is t(q(b))?\nAnswer: 4080*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1784779.\nAnswer: 7139116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwkwkwcwkkc. What is prob of picking 1 c, 1 k, and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) + 3*(-5)\/(-15). Suppose -5*z = d*l - 63, 3*z = 6*z. What is the tens digit of ((-98)\/l)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = 7. Suppose -13 = -3*s + 2*r, 3*r - 6 = 6*r. Let q = p + s. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 173 - 5*f**3 + 82 - f**3 + 3*f**3 + 77.\nAnswer: -3*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1229*s + 3*t = -1227*s + 22, 3*s - 62*t = s - 258 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.177 (b) -2 (c) -1315 (d) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.3, 0.\nAnswer: -1.3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -741 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -43*r + 5\/3*r**4 + 2\/3*r**3 - 10*r**2 - 1\/5*r**5 + 0. Factor f(k).\nAnswer: -4*(k - 5)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.065 - 0.165. Let n = 0.06 - -3.44. Let j = n - 3. Which is the closest to -1? (a) p (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyyyyyyyayayyyy. What is prob of picking 2 y?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 13 (b) -2.6 (c) -1.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 5647.34, -0.06, -2\/11?\nAnswer: 5647.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6 - 9 = -5*j, -17 = -3*j - o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-122)\/1)\/(2064\/(-1032))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*i - 14, -a - 3*a + 5*i + 28 = 0. Suppose a*q + 7 = -1. Let x(c) = -c**2 - 11*c - 19. Let d be x(-8). Sort -1, d, q in decreasing order.\nAnswer: d, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(128) + (-6*-2*sqrt(128))**2 - (sqrt(128) + 4 + sqrt(128) + (sqrt(128)*-2)**2)).\nAnswer: -8*sqrt(2) + 17917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105473 = -19*z + 105606 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -5*v - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 7, e: 4, a: 1, h: 2}. Give prob of sequence xhay.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and -321440198.\nAnswer: -321440198.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*r + 2)*((0*r**3 + 2*r**3 + r**3)*(-3 - 1 + 0) + 5 - 5 - 5*r**3) + 5*r**4 - 2*r**4 - 2*r**4 - 21*r**3 + 21*r**3 + 20*r**4.\nAnswer: 89*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11068492 a multiple of 3862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 91278214 and -195.\nAnswer: 91278019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -85, -14, -40\/3 in ascending order.\nAnswer: -85, -14, -40\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 477515 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 42*k - 54.\nAnswer: -2*(k - 9)*(2*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -455.3 times -2\nAnswer: 910.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:03 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 88 - 87. Solve -4*v - 15 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/10, 5\/3, 1, -0.2, 1.6, 3\/2 in decreasing order.\nAnswer: 5\/3, 1.6, 3\/2, 1, -0.2, -9\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:55 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80813651 to the power of 1\/2, to the nearest integer?\nAnswer: 8990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.283 + -0.043. Let z = -0.1 + u. What is z rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 895b?\nAnswer: -8959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 46. Let u(d) = 310704*d - 621402*d + 310698*d + 11*d**2. Determine u(w(t)).\nAnswer: 176*t**2 + 4048*t + 23276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 + 2*k + k**3 + k**2 - 124 + 2*k**3 as x + r*k + d*k**3 + g*k**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 40*c**2 - 128*c - 161. What is d(43)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -1721, -3871, -6881?\nAnswer: -10751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -28, -45, -66, -91, -120?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 303 and 0.12423?\nAnswer: 37.64169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 19*g - 2. Let i be h(-2). Let y be (-26)\/i + (-14)\/35. Let l = 1.7 - 2. What is the closest to 1 in -1\/4, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - (-13 + 25 + 6 + -4)) + (2 - -10)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 1. Let g(a) = -4*a**2 + 6. Let d(n) = 114*n - 678. Let p be d(6). Calculate p*w(l) - 2*g(l).\nAnswer: 2*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19200.775*4.\nAnswer: 76803.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*u - 46, 5*u = 1444*a - 1440*a - 55 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -750096 and 975.\nAnswer: -731343600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442172 divided by 240362?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*n - 1707*n - 13431 - 6214 = 1853*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 966*c + 62. Calculate v(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2259*r**2 + 9021*r + 60. Calculate c(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.3. Let q be 26\/88 + 7 + (-216)\/32. Let w = -0.1 + 0.1. Sort p, q, w.\nAnswer: p, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + (-2 - (-8 + 9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/792 and -47\/35292096.\nAnswer: 388213056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) 1.2 (d) 0.0219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 288 + 573 - 305)*(0*r + 0*r + r**2) in the form a*r**2 + u*r + n + y*r**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6275, 25200, 56775, 101000?\nAnswer: 157875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 601*b**2 - 7078*b + 129. What is m(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 21228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654\/10*(13 + (-56)\/7) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let o = -12 - -11. Let c be b(o). Is 6 a factor of 12 + (c + 3 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {j: 3, z: 4, b: 3, c: 3, n: 1, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 501*d - 18019. What is l(39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 y when three letters picked without replacement from yyinjyjyihjyrnyiny.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (0 + sqrt(112))*6)*1)**2*2 + -2)*-2.\nAnswer: -11196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320))**2 - sqrt(25)\/sqrt(20).\nAnswer: -33*sqrt(5)\/2 + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 18 (b) -7 (c) 5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10013.957 to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18451303.\nAnswer: 13, 281, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let a(f) = -4*f + 1. Let q(t) = a(t) - 3*x(t). Let k(o) = -o**2 - 16*o - 40. Let y be k(-14). What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 92, 247, 528, 977, 1636, 2547?\n\"Answer: 7*g**3 + 22*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - (-8 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + 4*n**2 - 59*n - 4. Let v(z) = -3*z**3 - 4*z**2 + 49*z + 3. Determine 4*l(k) + 5*v(k).\nAnswer: k**3 - 4*k**2 + 9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5506342 to four decimal places.\nAnswer: -0.5506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = 3*q, -5*q = 3*c - 25 - 11. Calculate the highest common factor of 90 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6 = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 94?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.9 - -6. Let q = l + 0. What is the closest to 1 in q, -3, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 14887*u - 283824. Calculate x(19).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.31937 rounded to 1 decimal place?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124464 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 28270, -5, 0.2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 10*y**2 - 10*y - 65. Let h be v(10). Let s(c) = -49*c + 2. Let d be s(6). Let i = h - d. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.16 + 0.06. Suppose 3*f - 1 = 4*w - 0*f, 5*w + 3*f + 8 = 0. What is the second biggest value in -1\/3, w, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Is 19*r*2\/1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*c + 14 = 0, 759*h = 732*h - 5*c + 86 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 193*l - 3292. Calculate p(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -299, -598, -899, -1202, -1507?\n\"Answer: -z**2 - 296*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 9*v + v + 5 + 5*v.\nAnswer: 13*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 12, -2, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 1. Let v(o) = -o**3 - 23*o**2 + 51*o + 21. Let a be v(-25). Let b(c) = -c**2 + 2. Calculate a*w(g) + 3*b(g).\nAnswer: 5*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 8*d + 4. Let r be 1*-3*(-176)\/33. Let y = 10 - r. Is 8 a factor of n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -20*u + 15. Calculate b(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d - 2701*d**2 - 20*d.\nAnswer: -2701*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - 54) + -4 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 - 5. Let l(w) = w**4 + 138*w**3 + 332*w**2 + 349*w + 211. Let h(i) = -2*l(i) - 38*x(i). Find c, given that h(c) = 0.\nAnswer: -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 7. Factor 5*m + 2*m + m**2 - j*m + m**3.\nAnswer: m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 2.9810527?\nAnswer: 1.49052635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from bfbhbfff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14630, -14629, -14628, -14627, -14626, -14625?\n\"Answer: g - 14631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34476176 - 19?\nAnswer: -34476195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 28*s + 146. Determine o(24).\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -384, -585, -804, -1047, -1320, -1629?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 804, 654, 194, -570, -1632, -2986, -4626?\n\"Answer: r**3 - 161*r**2 + 326*r + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-4 - 15 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**2 - 2*w + 63. Let f be ((-44)\/(-16))\/1*4. List the prime factors of d(f).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4902063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 132\/(-7*12\/(-42)). Suppose 71*p - 74*p = -s. Suppose -3*b + 11 = -7. What is the remainder when p is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 7*x - 5. Let w be y(5). Suppose -3*r - 4*q + 3 = -3, -w*q = 4*r - 9. What is the remainder when 11 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 124 = -d. What is the remainder when d is divided by (22 - 20) + -4 - ((-29 - 1) + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -780 + 780 - 49*q**2 to f*q**2 + p + r*q and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426.64167 + -0.04167. What is y rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19747479, -19747484, -19747493, -19747506?\n\"Answer: -2*j**2 + j - 19747478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45520813, 91041624, 136562445, 182083282, 227604141?\nAnswer: 273125028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -430*z. Let n(o) = -7*o**2 - 13. Calculate y(n(u)).\nAnswer: 3010*u**2 + 5590","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, k: 3, i: 4, d: 2, l: 3}. What is prob of sequence tkdk?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 5*n - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3198 and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.51 (b) 3\/2 (c) 1.12 (d) -50 (e) 4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-55)\/(-33))\/(9 + (-432824)\/48096). What is the highest common divisor of 336 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 1\/9, 31, -0.5, -62\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187586, -187677, -187768, -187859?\nAnswer: -187950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-22)\/(-44))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**4 + 13*l**2\/2 + 14. What is the second derivative of p(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -3*f + 2, -f = 2*g - 9. Let c(n) = 3*n**2 - 25*n + 30. Let l be c(7). Put -1, l, f in decreasing order.\nAnswer: f, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 50926*w**3 - 2*w**2 + 8*w + 8. Let m be r(6). What is m rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 1622*x**7\/7 + x**4\/3 + 861*x**2\/2 + 10691*x. Find the third derivative of n(l) wrt l.\nAnswer: 583920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/61360 and 37\/120.\nAnswer: 184080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + -1)*5 + sqrt(468))*-1 + sqrt(130)\/(sqrt(10) + (sqrt(180)\/sqrt(3))\/sqrt(6)) + -4)**2 + -4.\nAnswer: -71*sqrt(13) + 65521\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3\/4, -37?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 71*u**2 - 14730*u - 7912. What is s(208)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (998\/14)\/(-1). Let h = -61 - -133. Let k = m - h. Is 0 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 12*j**2 - 23*j - 3. Let s(w) = w**2 + 2*w - 1. What is k(h) - 3*s(h)?\nAnswer: -2*h**3 + 9*h**2 - 29*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from llzlzlrkklzzzzzllzzl.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/390*-13*(-4)\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1400)\/112)\/((-20)\/(-720)*9)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 + 872*c**4 - 90530*c**3 + 745596*c**2 = 0.\nAnswer: 0, 9, 149, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(122143\/15267 - 8).\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**3 - 14*o**2 + 165*o - 1887. Is x(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0309 - -2.9691. Let u = -0.228 - 0.022. Which is the fourth smallest value? (a) -0.4 (b) -1 (c) n (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 10*b**2 + 10*b + 2. Let g(x) = -x**3 + 10*x**2 + 2*x - 7. Calculate the remainder when y(-8) is divided by g(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -71. Suppose -t*w + 3*m + 64 = -0*w, -5*w + 78 = 4*m. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 45906515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5*x**4\/4 + 5*x**3\/3 + 5*x**2\/2 - 5*x + 64. Factor t(w).\nAnswer: -5*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 104\/7*q**3 - 60\/7*q**4 + 0 - 4\/7*q**5 + 0*q**2.\nAnswer: -4*q**3*(q + 2)*(q + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76973*d**2*n**3 - 2*d**2*n**2 + 279*d**2*n wrt n?\nAnswer: 461838*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*l + 22*l + 50*l - 11*l.\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 100*l - 1246. Give u(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/6 + 581*x**2\/2 + 337561*x\/2 - 718. Factor q(b).\nAnswer: (b + 581)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3223, -7018, -11379, -16300, -21775?\n\"Answer: i**3 - 289*i**2 - 2935*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + 5*(sqrt(325) - sqrt(325)*3) + 1)*2.\nAnswer: -100*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 835085621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242307 or -242294?\nAnswer: -242307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76162, -151098, -226038, -300982?\nAnswer: -375930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125.4128 + 198.\nAnswer: 72.5872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 33 = 4*s, 2*s - 24 = 2*h + 2*h. Suppose 4*i - s*i = -2. Let u be 2 + 2\/1*i. Solve u = w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b5 + 2?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5469985 divided by -5\nAnswer: -1093997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y = -2*p + 64*y - 8, 5 = -2*p + 3*y. What is h in 3\/10*h - 9\/10*h**p + 1\/5 = 0?\nAnswer: -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 7. Let s(k) = k**3 - 5*k**2 + k - 11. Let m be s(5). List the prime factors of t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 2*x)*(x - 5*x + 15*x) + (-5*x + 3*x + 3*x)*(3*x + x - 6*x) + (-2*x - 2*x - 4 - 2*x)*(-x - 5*x + 4*x).\nAnswer: 32*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 779762 and 6235?\nAnswer: 113065490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193*r**2*t**3 - 2*r*t**3 - 33*r + 1 wrt r?\nAnswer: 386*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 1\/((-5)\/20). Suppose -5 = -w*c - 89. Let n = c + 66. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 10, r: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 25*i - 1908 + 45 = 0. Is i a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 11*f**2 - 8*f + 4. Let g be n(10). Suppose 3*u - g = 15. What is the remainder when 51 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)*-1*-2)\/(sqrt(88)\/sqrt(11)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, 457, 2838, 6645, 11884, 18561?\nAnswer: 26682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -67*g + 1437. What is the remainder when p(13) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2062*(3 + 2)\/(-10)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 100 - 2*s - 93 - s + 25*s**2. Let y(h) = 24*h**2 - 2*h + 5. Let p(f) = 2*l(f) - 3*y(f). What is p(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 1 l when three letters picked without replacement from {l: 1, h: 3, j: 3, b: 3, t: 6}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5896\/1848 + (-12)\/14.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose 8 + 22 = a*p. Find the first derivative of -5*l - p*l + 6*l + 2 wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220898.\nAnswer: 2, 17, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 121751877333 and 0.\nAnswer: 121751877333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6620281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761309?\nAnswer: 137, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1267*z - 59430. Calculate d(-47).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 899 (b) 4 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 1 (c) 3\/5 (d) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862811.\nAnswer: 7, 43, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.2433418 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -286415, -286413, -286411, -286409, -286407?\n\"Answer: 2*y - 286417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.0738 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 118*j - 274. Let z be f(6). Suppose -b + z - 370 = 4*k, 0 = -b. Suppose 0 = -4*n + 10 + 6. What is the greatest common factor of k and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j**2 - 6*j + 78. Let t be c(0). Let k = 220 - t. What is the remainder when k is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/12 + r**3 - 2*r**2 - 2*r - 3. Let u(l) = -l**2 - 7*l - 5. Let g be u(-5). Give k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1854267*a**2 - 3112767 wrt a?\nAnswer: 3708534*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 13*n**2 + n + 15. Suppose 4*y = 5*p - 57, -2*y - 4*p - 27 = -5. Let h be g(y). Let c = 2 + h. Solve -2 = -j - c, -s = j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {o: 1, j: 2, k: 1, q: 1, w: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by ((-3)\/(-9))\/(12 - (-4203)\/(-351)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(4 + (-77)\/21). Let h = -10 - -9. Is h != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let u(s) = -28*s - 29*s + 60*s. What is u(j(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c**(-12)*c)*c))\/(c\/c**(5\/4)*c))\/((c*c**(-6))\/(((c**14*c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*l - 427, 3*c - 245 = 2*l - l. Suppose 4*s = -2*h + 108, 0*s - h + c = 3*s. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 2*l**2 - 33*l + 46. What is the remainder when 2963 is divided by d(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -30b3?\nAnswer: -30b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-1968)\/2870*15\/(-132)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1ae (base 16) to base 8\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588579730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10312430 (base 5) in base 8?\nAnswer: -254652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*w + 180 + 7 = 0, -w - 2 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 9*h + 4 + 7*h)*(-4*h**2 + 4*h**2 - 3*h**2).\nAnswer: 6*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -483 + 22*s**2 + 18*s - 496 + 1502 - 434. Let h be d(-4). Calculate the greatest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.35, -8, 4?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 6, -14, -64, -156, -302?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-1)\/1*-1. Suppose 0 = c + r, -2*h - 4*c = 3*h - 74. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505 (base 12) to base 13\nAnswer: -43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {t: 6, r: 2, x: 1, m: 3, y: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 227*k**2 - 2 + 3 - 285*k**2.\nAnswer: -58*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*l - 4*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039 divided by 1013?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36400939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000478269 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1956 divided by 6\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c**2 + 60*c**2 - 23*c**2 + 8 - 17*c**2 to the form z*c**2 + k + r*c and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -32*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110202020202011 (base 3) in base 15?\nAnswer: -8dc9ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1361289, -1361244, -1361199, -1361154, -1361109?\n\"Answer: 45*d - 1361334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/1000*(-2)\/11?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 597*g + 4086. What is b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24476 and 89839158.\nAnswer: 179678316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 - 14*l + 14. Let w(t) = -4*t**2 + 8*t - 3. Let m(z) = 3*z**2 - 7*z + 3. Let s(j) = 5*m(j) + 4*w(j). What is 3*a(d) - 14*s(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 1\/6 (b) 5\/2 (c) 0 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5082\/42330 + (-214)\/1819)*-10.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327 + 330. Let g = 12 + -8. Suppose -4*q + 12 = -2*d, 0*d + d - 5*q + 15 = 0. Solve -4*v - 7 = w*l - d*l, -g = l + 3*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 7*y + 15. Let a be k(-9). Let x be (a - -1)*(-76)\/(-8). Is -141\/7 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101110000011 - 11?\nAnswer: 110111101110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 3*t**2 + 2*t - 1. Let n = -5 + 3. Suppose -11*d + 132 = 34*d - 23*d. Calculate the remainder when x(n) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165 - 66378?\nAnswer: -66554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3369 + -b6?\nAnswer: -3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421887173?\nAnswer: 3, 7, 19, 173, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181121548.\nAnswer: 2, 19, 37, 420029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -874 and -815275.\nAnswer: 712550350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 5. Let o be i(-10). Let l = 5 - 3. Let j(b) = b**3 + 6*b**2 + b. Let t(x) = x**3 + 13*x**2 + 2*x. Let z(p) = l*t(p) + o*j(p). Factor z(k).\nAnswer: -k*(k + 1)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 5, 2\/125, -0.049, 0.8.\nAnswer: -0.049, 2\/125, 0.4, 0.8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523386671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Suppose 5*u - 16 = -q. Let s = -1.15 - -1.15. Which is the third biggest value? (a) 2 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73111, -146226, -219343, -292462, -365583, -438706, -511831?\n\"Answer: -n**2 - 73112*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 94746 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*z**5 + 2*z**5 - 4*z**5 + (12*z - 12*z + 5*z**4)*(0 + 0 + z) + (0 - 2*z**5 + 0)*(3 - 2 - 3) + 8*z**2 - 6*z**5 - 8*z**2.\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(108) - (-2 + (sqrt(17) - (-1 + sqrt(17)))).\nAnswer: 1 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5 - 5)*(0 - 1 + 4)*(3 - 2 + 1).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 258\/(-34)*(-8)\/((-24)\/1). Is 2\/5 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 i when three letters picked without replacement from {i: 1, h: 7, g: 3, o: 3, z: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -0.3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 200 - 3?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/551?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*u - 2*u. Let y be (2\/14)\/(u\/6). Let p be ((-27)\/(-72))\/(5\/(-20)*9). What is the closest to 2\/7 in 4, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -317*d + 331*d - 7966. Is 60 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 < 818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2745)\/(-8385) + 1\/(-3). Let w = 9889\/2236 + i. Let s = 7553 + -203977\/27. Find the common denominator of s and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 96, 216, 380?\n\"Answer: 22*p**2 + 10*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o + 8*o = 18*o. Solve 12 = 3*y - i - 4*i, -2*y - 4*i + 8 = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1674 - 406. List the prime factors of a.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 4*s + 3*s + (3 + 2*s - 3)*(-5 + 2 + 1) + 1 + s - 1 - 2*s + 3*s + s + s + 3*s - s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 + 4*z. Let d be x(-8). Suppose -d = -4*k - 184. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 2*k. Let x(a) = -6*a**2 - 33*a - 10. Let u(q) = -3*o(q) - x(q). List the prime factors of u(-12).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/24*(3 + (1 - -107)). Let y(p) = -p**2 - 33*p + 149. Let t be y(f). Sort t, -4, -5 in decreasing order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217613 divided by 5\nAnswer: -217613\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7493591?\nAnswer: 7, 1070513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2761 is divided by 2747.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -192*f - 171 - 586. Let o(u) = -3*u + 9. Let w(r) = 3*r - 8. Let k be ((-14)\/(-8))\/(1\/(-4)). Determine f*o(d) + k*w(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*v + 2*v + 32, 2*v + 15425*o - 15424*o + 11 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53865 divided by 1197?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -30. Let i = 17 + b. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21678, 21725, 21790, 21885, 22022, 22213, 22470?\nAnswer: 22805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbcdbcdcdcd. What is prob of sequence cbbd?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*q + 29, 0*a - 3*q = a - 15. Suppose 0 = -4*u - 5*s + 27, 3*s - s = -5*u + a. Suppose 0 = -u*x, -o - 3*x = -6*x. Solve -c - 2*c + 15 = o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -146449 and 72?\nAnswer: 146521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -153275.44954 - -14\nAnswer: -153261.44954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 30. Let l be b(-25). Suppose -3*d - 2*d + 370 = -l*n, 0 = 2*n - 4. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/7 + 0. Let r(d) = d**2 - d - 1. Let b be r(2). Let l = -1 + 0.6. What is the closest to h in 4, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0 + 5 = -n, 0 = -3*k + 3. Let d(y) be the second derivative of -y + n*y**2 + 0*y**3 + 0 - 1\/48*y**4. Factor d(i).\nAnswer: -i**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-100)*2*2\/(-12)*20\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 55, 156, 297, 478, 699?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -39 - (0 - -23).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 357 + 528 = 0. Is 1*h*(-2)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265200 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkkk when four letters picked without replacement from {n: 4, e: 3, k: 13}.\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -49*k**3 + 26*k**2 - 50*k + 14. What is r(2)?\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/(-360) - 1\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618702463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:35 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6005 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -31 - 14. Let w = -2.3 + -7.7. Let d = -10.5 - w. Which is the biggest value? (a) s (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98 * -0.6.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3240 is divided by 659.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/21 and -61\/2208.\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1946)\/6 - (-22)\/(-33). Let x = 697 + c. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 41 + 35. Let v = c + -24. Suppose 0 = -4*m + 5*m - 8. What is the least common multiple of m and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 4595. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - w**3 - w**3)*(-2*w**2 - w**2 + 5*w**2) - 2*w + 2*w + 6*w**5 - w**5 + 4*w**5 - w**5 + w + w**5 - w + (-1 + 3*w**2 + 1)*(2*w**3 - 3*w + 3*w).\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k - 8*k + 3*k - 2*k to the form t*k + o and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448 = -4*r - 440 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 - 2760*k + 380880 = 0.\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.34, -4, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2\/2 + 20*f - 2. Suppose -1484*u + 1489*u = 85. Let s be w(u). What is the highest common divisor of 36 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 78. Let d be (-1600)\/y - 3 - (-4)\/6. Suppose 64 + d = n. Is 39 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 5*g**2 + 7*g - 2. Suppose s - 7 = 12. Suppose 2*z = -3*u + 15, 3*z + u = -0*u + s. What are the prime factors of b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**2 - 19*f**2 - 20*f**2 + 58*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-13\/4))\/(y\/(y**30*y)) assuming y is positive.\nAnswer: y**(111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553396?\nAnswer: 2, 733, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -64.68 <= 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 719301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24 - 910\/39 - (1 + (-12193262)\/6). What is l rounded to the nearest 10000?\nAnswer: 2030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 268, -13, -0.1, 8, -2?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -244, -789, -1832, -3535?\nAnswer: -6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - f + 1. Let z(r) = r**3 + 7*r**2 + 35*r - 92. Let d(l) = -2*v(l) - z(l). Does 27 divide d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14451 is divided by 7187?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0084 - -0.0016. Let s = -3.47 + l. What is s rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4\/5 - 108*p**2\/5 - 40*p - 96\/5 = 0?\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32 + 360*v**5 + 35 + 3*v**2 - 34 + 910*v - 33 wrt v.\nAnswer: 21600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49666080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -46.23, 0, 5, 3\/2, 4 in decreasing order.\nAnswer: 5, 4, 3\/2, 0, -46.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.051001ug?\nAnswer: 0.000000000051001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110103.99999931631 + 110104. What is s rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4288 * -0.019856\nAnswer: 0.0283702528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 35 - 5) + -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-151)\/453*(-1 - -1). Is 2\/3533 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let o be g(1). Let j be (-3*4\/24)\/(o + 2). Is j <= 21\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 - n - 9. Let l be w(-7). Let m(s) = -5*s. Let x(b) = b**2 + 5*b + 3. Let k be x(-2). Let u(y) = 6*y. What is k*m(t) + l*u(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-30)*9 - -20) + -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009532 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 27. Let f = 19 - g. Let n = -0.0111 + 0.5111. What is the smallest value in -5, -1\/7, n, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13324405 = -301*y + 17*y - 47*y. What are the prime factors of y?\nAnswer: 5, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-10))\/((34\/(-680))\/(2\/38))?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011001000000 + -10011?\nAnswer: -111011001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a + 6178 - 5317 = -8330 for a.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*a - 21 + 23, 0 = -5*a + 2*z - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(0 - ((-15)\/(-6) - 3)). Let v be (-174)\/(-540) - s\/(-18). Sort v, -1\/3, -0.5.\nAnswer: -0.5, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 - -414. Suppose 0 = -5*q + 139 + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 19 + 2 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:36 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c*g**3 - 2*c*g - 47*c + 34*g**3 + 7300*g**2 - 4*g + 11494 wrt g.\nAnswer: 42*c*g + 204*g + 14600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**3 - 5*n + 5. Let s(v) = v**2 + 28*v + 3. Let y be s(-28). List the prime factors of j(y).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320 - -1032443122?\nAnswer: 1032443442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 7 + 5 - 7 + x + 915*x**3.\nAnswer: 915*x**3 + 2*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -11000000100?\nAnswer: -10111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -2\/7, 0, 0.1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*c + 2, 4*a - 23 = -c - 6. Suppose -r + c*y + 22 = 0, 2*r + 5*y + 30 = 7*r. Solve -5*h = -3*d + 11, r*h + 2*h - d + 13 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4217481684 to the nearest integer?\nAnswer: 64942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:59 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*q - 25120 = -364*q for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, p: 1, n: 1, c: 1}. What is prob of sequence pc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43\/90 + 5\/18. Put -0.5, a, 2, -1 in decreasing order.\nAnswer: 2, a, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*m - 7*m. Calculate the remainder when 12 is divided by (1 - -1)*1\/m*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (14 - 8) - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9028 or 9200?\nAnswer: 9028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 25, 68, 145, 268, 449?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*u = -265 + 298 + 865 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) -0.5 (c) -6\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 - 3*n**4 + 2*n**4)*((-1 + 2 + 2)*(4 - 4 + n) - 255*n + 31*n + 50*n).\nAnswer: -684*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37322?\nAnswer: 2, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/7 (b) 0.1 (c) -2\/7 (d) 470201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*i + 31, -2*i - 5*q + 23 = -0*i. Let c = -5 + i. Let j be (-3)\/((-32)\/26 + 1). Solve 3*f - j = 5*g, c*f + g + 25 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*t + 429579 - 426477 = 0 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - ((-6 - -7) + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(((-19505)\/(-611))\/(-83))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*h + 1587, 2*u + h + 2105 = 6*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373.538 - 374. Let u = r + 0.262. Which is the nearest to 2? (a) 1 (b) u (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (39\/(-8))\/(-3) - 2. Let q(d) = 21852*d - 131112. Let h be q(6). Sort -2\/13, h, -18, v.\nAnswer: -18, v, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 s, and 1 k when four letters picked without replacement from msskdmkmmsdkmdmstmkw.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + l**3 - 2*l**2 + l + 1 - 5*l**2 + 9*l**2. Let k be v(-4). Suppose -2*t + 31 - 7 = 0. Is k less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70861 is divided by 832.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 + 2)*(-4*d + 13*d + d).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243245224 (base 6) to base 11.\nAnswer: -268a813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 21\/10*b**5 + 0*b**3 + 0 + 41\/8*b**4 + 0*b - 126*b**2. Find the second derivative of f(d) wrt d.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2654637974 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**3\/3 - 8*v**2 - 17*v + 5010. Calculate w(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968) - (sqrt(968) + sqrt(968) + sqrt(968) + 1*sqrt(968)))*-4)\/(4*sqrt(484)*4 + sqrt(484) - sqrt(484)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 239*x - 1575. What are the prime factors of h(-108)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243 = -93*x - 1127 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 39, 3, 5, -2 in increasing order.\nAnswer: -49, -2, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**2 - 2. Let n(w) = -11*w**2. Give t(n(m)).\nAnswer: -1210*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 4*d + 1. Let k be l(-5). Let v = k - -6. What is the second derivative of 4*r - r - v*r**2 - r wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - z + 24. Let r be i(0). Let x be r\/108 + 10\/(-18). Is 0.05 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701825?\nAnswer: 5, 67, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 7*z - 335. Calculate the remainder when j(-11) is divided by 124.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4284*k**2 + 44 + 39 - 4282*k**2 - 125 + 42 + 10*k**3.\nAnswer: 10*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*j\/(j\/(j*j\/(j**2\/j)))*j**0*j**(-1\/4))**(1\/29) assuming j is positive.\nAnswer: j**(1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 177665 + 1?\nAnswer: 177666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 16 = 4*g, -98 + 118 = -5*r + 5*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**5\/30 - 7*s**4\/24 + 7*s**3\/6 - s**2 + 6*s. Let n(d) be the first derivative of b(d). Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 3 + 4 + 8 + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-3\/10)\/(z**(-1\/4))**5)\/((z**(4\/9)\/z*z*z)\/(z*z**(-5)*z)*z*z*(z\/((z**(-2\/5)*z*z)\/z))\/z*(z\/(((z**(1\/2)\/z)\/z)\/z*z)*z)\/z) assuming z is positive.\nAnswer: z**(-1277\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2 + 1962*n - 442260 = 0.\nAnswer: -1170, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 473, -5, -0.1, -3\/4, 3\/29, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 1, 0.1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 34*d - 241. List the prime factors of b(33).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5746*z**2 + 863*z**2 + 2470*z**5 + 2956*z**5 wrt z.\nAnswer: 325560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 21. Let d be (-6)\/3 + -2 + 8 + 0. Let u(r) = d + 20 - 3*r - 24. What is n(u(o))?\nAnswer: 9*o**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18*u = -2561. Let m = 206 - u. Solve -m = -n - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/(-111)*(-6)\/4. Which is smaller: t or 74?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 41) + 10 + 2 + -6 + -3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/(-15)*(-6)\/(-4). Let a be ((-8)\/(-12))\/(i\/(-6)). Suppose 8*q = 7*q - a. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67398, -67390, -67384, -67380, -67378, -67378?\nAnswer: -67380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2354*a - 583*a + 76439 + 46551 + 9175 = 0 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 10*o - 133035*o**2 + 2*o.\nAnswer: -133035*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 - 2*z**3 - z**2 - 5*z - 3. Let f be g(-6). Solve -2*b + f*b - 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10) - (-2457)\/210) + -36?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379037235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3 + 0)*1608\/(-12060).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - (57 - 97)) + 47\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 18*o - 21*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 504*i**3 - 19599*i**2 + 132066*i - 181656.\nAnswer: -3*(i - 4)*(i - 2)*(i + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2179514309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 + 6*k - 4. Let y be b(4). Suppose 5*z - y = 3*z. Let c(f) = 3*f + f**2 - 8 + 6*f**2 + f**3 + z*f. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3414120 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 33750?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -84. Let l(x) = -15*x**3 - 66*x**2 + 15*x + 24. Let k(d) = -3*d**3 - 13*d**2 + 3*d + 5. Let v(i) = a*k(i) + 4*l(i). Let v(z) = 0. Calculate z.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 2. Let p be (-2160)\/162*6\/(-5). Let r(z) = -z + 3. Let l be r(0). Suppose p - 10 = l*s. Determine g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 + 4*s + 7. Let m be 1*(2 + 54\/(-21) + 170\/(-119)). What is h(m)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 4*j + 2*j + 3*j to the form t + d*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*h**2*p + 212*h**2 + p**3 - 1 wrt p.\nAnswer: -218*h**2 + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/21 - 27\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + m**5 - 2*m**3 - 152*m**3 + 152*m**3 - 8*m**5 + (m**4 + 0*m**4 - 3*m**4)*(2*m - 8*m + 3*m).\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.128799 to 4 dps.\nAnswer: 0.1288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**5 + 4*a**2 - 10*a**2 + a**2 wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2069.9 + -2070. Which is the fourth biggest value? (a) -4 (b) w (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 1\/7, -59?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 432 = -25*o. What is the highest common divisor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3, 2, -2\/41, 29, -1\/4, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -22. Let l(b) = 4*b**3 - b**2 + b + 1. Let z be l(1). Suppose -z*h + q = -h. Solve -5*k + 5*p - 15 = 0, 4*k - h*p - 7 + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 - 19*r + 20. Calculate o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141961*k**2 + 5 - 5 + k**3 - 83480*k**2.\nAnswer: k**3 - 225441*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -383 - -736. Let d = m - 358. Suppose 3 = -o - 4*g + 2*g, o - 5*g = -10. Is o < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) + sqrt(612)*5) + -1 - (-2 + sqrt(17) + sqrt(1088) + sqrt(1088) + 1 + sqrt(17) + (1*sqrt(187))\/sqrt(11)))**2.\nAnswer: 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397*n*u**2*z**3 + 7*n*u**2*z + n*u*z + 30952*n*z**3 - 2*u**2*z + 31772*z**2 wrt z.\nAnswer: 2382*n*u**2 + 185712*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12183 - 6849 + 9933 = 276*q - 15369 for q.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 - 113. Calculate the remainder when a is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-3)\/(6\/(-8)). Let d be (369\/6)\/((-3)\/4). Let s be 6\/(-15) + d\/(-5). What is the highest common divisor of s and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 9) to base 5\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4441217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4465*w - 2829*w - 9544*w - 4526*w)*(5*w - 3*w + 0*w) as f*w + o*w**2 + k and give o.\nAnswer: -42728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from dvcovdcccdrcvd.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxkkk. Give prob of picking 1 k, 1 n, and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 10 = -k, -g - 5 = 2*k. Is (g - -7)*(-46)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8262524629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2951771*r = 5*w + 2951764*r + 17, -9*w + r - 77 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -1021?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146*w**3 + 115 - 21 + 132 - 46 with respect to w.\nAnswer: -438*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/20 + j**3\/2 - 3*j**2\/2 - 35*j. Let h be r(1). Which is greater: h or 2\/57?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10251071.9*-0.3.\nAnswer: -3075321.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 - 5*j - 7. Let r be y(5). Suppose 0 = -t + 3*k - 20 + 4, -t = -k + 16. Let v = r - t. What is the remainder when 34 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5689773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 7*c - 2. Let x(n) = -n**2 + 16*n - 34. Let p be x(13). Give l(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3*q**4\/4 - 7*q + 4. What is the first derivative of j(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 0*y + y - 8 + 8 - 16*y - y + 3*y - 3*y + 1 - 2*y - 1 + (2 - 3 + 3)*(2 - 2 - 2*y) + y - y + 2*y)*(2 - 5 + 4) to r + w*y and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/8820 + g**6\/1260 - g**4\/24 - 3*g**2. Let u(v) be the second derivative of z(v). Factor u(y).\nAnswer: -2*y*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -5. Suppose -z + 27 = 4*a, -v*z - 141 = -14*z - 5*a. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 7. Let r be l(-2). Let m be 2 - r - (-3 + 7)\/4. Find the third derivative of -5*u**m + 26*u**2 + 5*u**2 + 5*u**5 wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 t when four letters picked without replacement from ttxttxxxtxtttxxxxt?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -237 + -55?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g + 5*g. Suppose -5*a + a = 5*k + 30, 5*a + g*k = -29. List the prime factors of (-53)\/(a + (3 - -1)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - z + 2, z = 5*i + 15 - 13. Suppose i*w + w = 2*p + 160, w + 4*p = 130. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 13?\nAnswer: -522\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257293\/18 + -14290. Calculate the common denominator of (-1635)\/20*4\/(-1476) + 10\/(-15) and f.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63457738, -126915479, -190373220, -253830961, -317288702?\n\"Answer: -63457741*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/108)\/(2\/(-6)). Sort 972, s, 4 in decreasing order.\nAnswer: 972, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028008432 rounded to six dps?\nAnswer: -0.028008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1110\/(-5))\/((24\/(-22))\/((-50)\/(-275)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:49 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -6, -3, 91, -2, 0 in descending order.\nAnswer: 91, 0, -2, -3, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 o when four letters picked without replacement from ozozlzlllop?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -354, -341, -320, -291, -254, -209, -156?\n\"Answer: 4*d**2 + d - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9515)\/(-3287) + (-42)\/6 + 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*i + 1 + 0 - 1.\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 7:53 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2919861 years to decades.\nAnswer: 0.02919861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -567445*v**3 + 456208*v?\nAnswer: -3404670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(28) + sqrt(7) + sqrt(7) + 2 - (sqrt(175)*-2)**2) + ((0 + sqrt(1008))**2 - (sqrt(7) - (sqrt(7) + sqrt(28) + 1)**2)).\nAnswer: 10*sqrt(7) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(153)\/sqrt(144))**2.\nAnswer: -31\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -196890 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 38, 101, 210, 377, 614, 933?\nAnswer: 1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*y + 335*y + 18 = 0. Let l(w) = -21*w**3 - w**2 - 4*w - 24. Is l(y) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2290485.685719 + 1505961.16349. Let p = f - -784524. Let i = 0.522 + p. Round i to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -29*w**2 - 33*w + 2. Let r(k) = -212*k**2 - 232*k + 14. Determine -2*r(f) + 15*s(f).\nAnswer: -11*f**2 - 31*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/10*1*(-2)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1938\/(-1292)*(-28)\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101112 + 120202?\nAnswer: 11222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:35 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aawmamammammmaammmm. What is prob of picking 2 m and 2 a?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 10*v + 11. Let z be u(-11). List the prime factors of (-83)\/(-4 + 3 - (z + 0)).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-5)\/5)*(-1 - -2). Let v = -4 - -12. Calculate the highest common divisor of v and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h + 4. Let l(k) = -5060*k**2 - 56*k + 20. Give l(d) - 5*u(d).\nAnswer: -5060*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 5 + 5)*(1 + 4 - 4) + (5 - 1 - 3)*(2*q + 0*q - 4*q) in the form l + s*q and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(5) - sqrt(5))**2 + sqrt(5) + (sqrt(180)*-1 - sqrt(180)).\nAnswer: -11*sqrt(5) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/24 + h**5\/30 - 5*h**4\/12 + 5*h**3\/2 + 5*h**2. Let r be u(6). Suppose -3*a = -r - 483. Round a to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:53 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - m)*(2 - 2 + 1 + (0 + 2 - 1)*(0 - 3 + 4) + 0 + 3 - 4 + 5 - 4 + 0 + 4 - 1 - 1 + (2 - 2 - 1)*(0 + 0 + 2) + 4 - 6 + 4).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 17*y**2 + 59*y - 21. Let z be g(-20). Is 57 a factor of z*(-1 - -2) - -562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 18*v + 88. Give j(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -28*y - 6. Let f(a) = -2. Give -b(l) - f(l).\nAnswer: 28*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:41 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0561587698 rounded to five decimal places?\nAnswer: -0.05616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2484\/11 + 226. What is the smallest value in 6, -0.2, 1, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18411371477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l + 3. Let m(v) = -10*v + 4. Give 3*h(b) - 2*m(b).\nAnswer: -10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m - 4*m + m - m + 2*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188965.96 < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 461829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000776 to 5 dps.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*v - 24. Let s(j) = 8*j - 2. Let k be s(v). What is the remainder when (2 + 136\/10)*k\/12 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548772 and 565410?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3282 and -37\/960?\nAnswer: 525120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233284 is divided by 968.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 - 9. Let z(g) = 2*g**2 + 4. Let c(u) = 4*m(u) + 9*z(u). Let o(y) = -1164*y - 1165*y - 1155*y + 3484*y + 62*y**2. Calculate o(c(l)).\nAnswer: 248*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 26 - 62. Suppose 0 = -3*w + 122 + o. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.0581245936 + -21\nAnswer: -30.0581245936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1198 and 1974?\nAnswer: 1182426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 32*l**2 + 30.\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j + 0*j)*(-3*j + 10*j + j) + (3 - 3 - 2*j**3)*(-2 - 1 + 2).\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754696 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5*z + (-3*z + 5*z - 3*z)*(-2 + 3 + 1))*(-4 + 1 + 1) - z + 4*z + z + (7 + 1 + 0)*(2*z + 0 + 0).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278969337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (70\/(-75))\/(12\/75).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 250 = 70. What is the greatest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 - q + 1. Let k be c(-4). Suppose 3 = -k*y + 13. Solve y = -4*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 2933.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 75*a - 171. What is n(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*q + 10 = 305*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(-5\/2)*(z\/((z\/(z**(-20)\/z))\/z*z))\/(z\/(z*z\/(z**(-26)*z)*z)) assuming z is positive.\nAnswer: z**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -24 + 18 - (18 + 20)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118488 is divided by 4936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*-128763\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 - 40184*m + 142749984 = 0.\nAnswer: -12828, 2782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -428, -900, -1454, -2132, -2976, -4028, -5330?\n\"Answer: -7*n**3 + n**2 - 426*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 10*f + 10. Let b be c(8). Let v be 2\/b + (-325)\/(-3). Suppose v = 9*h - 6*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = -24 - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 20. Let z be j(-8). Find the second derivative of 2*p**z - 7*p + 2*p + 2*p wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/49 and 43\/357?\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.1, -3\/4, 1\/8, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.927548 litres to millilitres.\nAnswer: 8927.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let a(g) = g**3 + 15*g**2 + 19*g + 69. Let m be a(-14). Let q be m + (-14)\/(-26)*1. What is the nearest to h in -2\/7, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7835\/14 + -1119\/2. Which is the nearest to -1\/3? (a) u (b) -2 (c) -0.21 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 24 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -591083 and -10.\nAnswer: -591093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1 - 3)*620\/(-186). Let t be (2 - 0 - 2)\/(l\/5). Solve 0*h - h - 1 = t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z + 2. Let o be p(0). What is m in -28*m**3 + 23*m**o + 16*m**3 + 3*m**5 + m**5 - 15*m**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1126726\/10)\/1 + (-44)\/(-110) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 4*z + 0 + 5\/12*z**4 + 1\/6*z**3 - 1\/2*z**2. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18799 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 55\/2 of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -22, 56 in decreasing order.\nAnswer: 56, 4, 2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -537017.5 - 0.1152505?\nAnswer: -537017.6152505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - -28. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:26 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60.1*-33.\nAnswer: 1983.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 55. Let h(v) = -3*v + 37. Let a(p) = -7*h(p) - 5*z(p). Calculate the remainder when 47 is divided by a(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/12 - v**2\/2 + v. Let a(h) be the first derivative of z(h). Let j(w) = -4*w**2. Give a(j(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3015)\/(-12) - -4 - (-8 - (-198)\/24). What is the greatest common divisor of 705 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 8:56 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -759, -1700, -3027, -4746, -6863?\nAnswer: -9384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 - 3*u**2 + 4*u**2 - 5*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1112883 + 34?\nAnswer: 1112917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -24197369094*q**2 - q + 1. Let l be x(1). Let u = -478381986832187\/19770 - l. Let v = 1\/1977 - u. Calculate the common denominator of -131\/6 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/5412941 + -28601908748\/48375453717. Let g = 4\/2979 - d. Calculate the common denominator of g and -115\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21817 and 21819 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3271542*-5.\nAnswer: 16357710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229 in -0.15, -16, 372, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2536 divided by 2\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzfzzmzz. What is prob of sequence mfz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134313 + 0?\nAnswer: -134313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62686*n - 125102*n + 2 - 6 + 4 + 62403*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218448 is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 96057127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48448 + -341.\nAnswer: -48789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 + 4*m**2 - 9*m + 4. Let j(x) = 9*x**3 - 7*x**2 + 17*x - 8. Let g(u) = -6*j(u) - 11*l(u). Let a be g(3). Solve 3*y = 2*y + a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 653*y - 1. Let v be a(-1). Find the common denominator of v\/(-9)*3\/(-28) and 1\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6144 and 269184.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*b - 522, o + 2*b = -50 + 158. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 8331606239.\nAnswer: 8331606238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 120 = -13*q. Let o be ((-12)\/(-8))\/(q\/16). Which is the third smallest value? (a) o (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7 + 2*j**3 - 3 + 3 - 4*j**3 - 18*j**2. Let l(b) = 2*b**3 + 17*b**2 - 6. Let s(x) = -7*l(x) - 6*n(x). Find the third derivative of s(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 4, 0.3, 2\/19843, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 47135*m - 1 + 9531*m - 2.\nAnswer: -37604*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b - 204*b + 76*b**3 - 10*b**3 - b**2 + 101*b.\nAnswer: 66*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.102 - 0.034. Let n = -5.068 + a. What is the closest to -0.2 in -1, n, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, 3*y + 2216 = w - 1194. Suppose -w = -7*a + 881. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)*m*m**(-1\/6) assuming m is positive.\nAnswer: m**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 - d**2)*((-1 + 1 - 3*d)*(-4*d - 2*d**2 + 4*d) - 2*d**3 + 12*d**3 + 14*d**3).\nAnswer: 60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**29\/(h\/h**(-1\/5))**3 assuming h is positive.\nAnswer: h**(417\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -27*f - 1317. Let v be s(-39). Is v smaller than -2910\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -9*i**4\/4 - 17*i - 13. Let d(o) = o**3 + 2. Give -51*d(f) - 6*s(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -23. Let j = 44 + -39. Let l = 6 - j. Which is the third smallest value? (a) m (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.2 + -76.2. Which is the closest to f? (a) 0.5 (b) 1 (c) -0.01 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let o(h) = 22*h**2 + 465. Give o(i(b)).\nAnswer: 88*b**4 + 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 65851.82 decades?\nAnswer: 658518.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**5\/25 - b**4\/10 - 44*b**3\/15 + 8*b**2 + 2886. Find v such that n(v) = 0.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 35 = v. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 243, -44 in descending order.\nAnswer: 243, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c - 4. Suppose 0 = 6*p - 2*p - 12. Suppose 9 = p*d - 3*g, 6 + 6 = -2*d - 4*g. What is v(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*21\/140*110\/33?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1364*d + 160931. Calculate g(118).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 4*u**2 - 1334 + 5*u**2 - u**3 + 4*u**3 - 2*u. Let r be b(0). Let h = 46684\/35 + r. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1573.47 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12)*(-12)\/(-6))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 14 - 146. Suppose 20*m = 22*m - o. Calculate the remainder when 259 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21 - 4*l + 2*l**2 - 10*l**3 - 19 + 66*l**3. What is the units digit of g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1786 divided by 19.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*l = -5117, -2*l = 5*b - 4*l - 6405. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/9331593 and 139\/486.\nAnswer: 1511718066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/7080 and -94\/2655.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368800325?\nAnswer: 5, 14752013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:20 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2, -6, 441, 0 in increasing order.\nAnswer: -6, 0, 2, 3, 4, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -3, -4, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 70. Let u(t) = -t + 2. Let r be u(2). Let g be d(r). Suppose g = -0*z + 5*z. Is z less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsuu when four letters picked without replacement from {u: 7, q: 5, s: 1}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 9}. Give prob of sequence mnn.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 12) + 22\/297 + (3544447\/5859)\/43?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2624995*k - 40. Let t be o(8). Round t to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.338011 millilitres in litres?\nAnswer: 0.008338011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/970286 and -79\/2?\nAnswer: 970286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 2700*c**2 + 37794*c\/7 - 18896\/7.\nAnswer: 2*(c - 9448)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 0, 6*y + 2*q = 2*y + 24. Find the first derivative of -y*j**4 + 41*j**2 - 41*j**2 + 7 wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*t + 2*d + 2*d, 0 = -5*t + 2*d + 2. Suppose 5*i + x - 52 = 0, -17*i + 19*i - 25 = x. Solve t*p + i = 3*g - 0*p, g = -4*p - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*c + 20, 0*a + 3*c = 4*a - 106. Suppose 27*m = a*m + 2. What is the second biggest value in 1\/7, m, 4, -1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 76. Let q(y) = 4*y + 255. What is the remainder when q(-36) is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/8)*r**(-7)*r)**(3\/5)*((r*r**(1\/4))\/(r\/(r\/(r*(r\/r**(-1))\/r))))**(-28) assuming r is positive.\nAnswer: r**(693\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 412*a**3 - 4*a**2 + 5*a - 1. What is the units digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17534487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + 4*x - 5. Is i(2) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0959198km?\nAnswer: 95919.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:23 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 826580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 11*b + 1. Let s(q) = -4*q**2 - 11*q - 2. Let l(z) = -4*s(z) - 5*t(z). Let k be -3 - 0 - (5 + 24 - 40). Calculate l(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 2. Let p(i) = -9*i + 1. Let b(y) = 4*g(y) - p(y). Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1275\/15*468\/(-468).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from dccddcdccddc.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 717\/1105 + -29\/85. Let q = 1432\/13 - 110. Factor -2\/13*r - q*r**2 + f.\nAnswer: -2*(r - 1)*(r + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492310 divided by 2\nAnswer: -246155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -63*n**2. Let i(w) = 122*w**2. What is g(i(d))?\nAnswer: -937692*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 293962809 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589 is divided by 1794.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 23*z - 69*z in the form k + s*z and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 5*s + h + 107, h + 9 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Suppose -m*d + 24 = -21. Calculate the lowest common multiple of d and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6904438 take away 795088?\nAnswer: -795087.3095562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17340935?\nAnswer: 5, 17, 31, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/84)\/(-10*4\/(-28)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11660 divided by 2332.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72329*q**5 - 5940*q**2 - 1164950362*q?\nAnswer: 1446580*q**3 - 11880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/21 + -10\/21. Sort -11, -0.1, w, 1\/2.\nAnswer: -11, -0.1, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 51. Suppose 0 = -0*h + 2*h - 4*g + i, h + 4*g = 8. Let k(z) be the third derivative of -z**4\/8 + z**3\/6 - z**2. What is k(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/672 - v**7\/210 + 23*v**6\/240 - v**5\/10 - 3*v**4\/4 - 6081*v**2. Determine s so that a(s) = 0.\nAnswer: -6, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010101111011011 (base 2) to base 14.\nAnswer: -55a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:29 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7443, -7463, -7495, -7539?\nAnswer: -7595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2987740184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 3.5 in decreasing order.\nAnswer: 3.5, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = v - 5, 0*h = 3*v - h + 15. Let t = v - -1. Let n(j) = j**2 + 3*j + 3. Let p be n(t). Is p > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -45*c - 726. Let m be x(-17). Let d = -5 - -7. Suppose -4*a + m = -d*g + 7*g, -5*g + 3*a = -32. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 1:09 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 11*x**2 - x - 11. Let u be i(-11). Solve u = 4*z - 5*a - 33, -2*z - 11 = 2*a + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740879 rounded to the nearest one thousand?\nAnswer: -1741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3\/3 - 5*o**2\/2 - 3*o + 7. What is l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 74?\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 573579262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-180) + (-6415)\/60 + -9. Which is the closest to 0.2? (a) 0.1 (b) -4 (c) 2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 9. Let o(s) = s - 3. Let v be o(-4). Let c be p(v). Suppose -y = 2*k + 4, c*k + 2*y + 8 = -0*k. Which is greater: k or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1)\/(-6))\/((-1)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -7, -4, 3, 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose z = -2*n - 3*n + 20. Suppose 3*l - n = 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283 + -281. Suppose 14*q - 761 = 13*q + 2*a, -4*q + 3074 = x*a. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -53*y + 317. Determine o(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -146.9. Let o = q + 16. Put -1, o, 5 in ascending order.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106 + 336)*(-1)\/10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 32*v - 87. Calculate k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/18 - 8*h**3\/3 + 25*h**2\/3 + 674*h. Find u such that z(u) = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9762480 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + 3*o, -2*s = 4*o - 6*o - 32. Let f = 10 + -5. Suppose 3*l + 3*k = s, -5*l = -l - f*k - 52. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271829 - 271819. Let y = -4 + 1. Which is the third biggest value? (a) y (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 15. Let m be d(6). Suppose -m*b + 2520 = -6*b. What is the units digit of b\/32 - (-3)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 721.3 + -721. Let q be 2\/8 - 0\/1. Which is the second smallest value? (a) 6 (b) 0.5 (c) w (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 13*a**2 + 15*a + 50. Calculate c(-5).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**(-4\/9)\/x)\/(x\/(x*x*x**(2\/5)))**(-28) assuming x is positive.\nAnswer: x**(-1919\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -409?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10*u + 14*u - 6*u + 3.\nAnswer: -2*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((14\/28)\/((-3)\/6)). Let f(z) = -3*z + 1 + 6*z - z. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004263 to four dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4627662 and 6?\nAnswer: 4627662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6974912 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0584 * 106.21.\nAnswer: -6.202664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1809000 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -169, -171, -187, -223, -285?\n\"Answer: -k**3 - k**2 + 8*k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 30. Suppose -t = 2*n + 11. Let s(j) = -690909*j + 1. Let c be s(n). What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 2 + 3 - 5 as r*d + b and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/21 + 104*d**3\/21 + 1334*d**2\/21 - 312*d\/7 - 4056\/7 = 0.\nAnswer: -26, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 4. Let d be (l - -3 - 2)*2. Let k = -2 + -1. What is the second biggest value in 3, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 88\/5 of a millennium?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1292 = -n, 3*i - 9*n - 770 = -11*n. Are 257 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((9\/(-105))\/3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 9087.\nAnswer: 9086.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:04 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14911 - 14903.821. Let r = h + 0.821. Which is the biggest value? (a) r (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3199 = -11*g - 105*g + 49 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15)*2)\/((-30)\/(-50))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 892 - 338. Let p = 553.9756 - x. Round p to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75152034 or -75152027?\nAnswer: -75152027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**4\/12 - 69*f**2. Let y(j) be the second derivative of j**3\/3 - 3*j. Calculate y(w(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -242221 (base 5) to base 16\nAnswer: -2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**6\/120 - o**5\/15 - o**4\/12 + o**3\/6 + o**2. What are the prime factors of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(245))*2)**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/7)\/t)**(4\/7)\/(t**3\/(t\/(t*t**(-1\/2)))))**(-1\/41))**(-27) assuming t is positive.\nAnswer: t**(-7695\/4018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*j + 94*j = 190*j - 4. Calculate the remainder when 424 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61221000 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94080502 to the power of 1\/2, to the nearest integer?\nAnswer: 9700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 5. Let m(g) = 3*g**3 + 7*g**2 - 5*g + 3. Let y(a) = -a**3 - 3*a**2 + 2*a - 1. What is l*y(w) + 2*m(w)?\nAnswer: w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-980)\/(-42) - (32 - 16))\/((-6)\/45)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -208*r - 19559. Give y(-94).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/(-1155) - 89\/890?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k = 173*k + 553 + 784 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.5 - -26. Let a = p + -6. Let n = a - -0.2. Sort 2\/9, n, 2\/15.\nAnswer: n, 2\/15, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 29. Suppose 0 = 4*l - 48 - 36. Suppose l = 2*c + 9. What is the greatest common divisor of u and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -67296.\nAnswer: -3\/11216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 106005.3 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143460217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (812*p**3 + 3200*p**2 - 3200*p**2)*(3*p - 2*p - 2*p) to the form r + z*p**3 + m*p**4 + d*p + x*p**2 and give m.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/252 + (-2)\/(-7). Let c = -1.1 + -3.9. Let v = c - -5.2. What is the biggest value in v, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281399 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g + 6. Let o be v(5). Let a = o - 17. Let y = -9 - a. Solve 19 = 5*j - k, -j = y*j + 2*k - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + 2)*(-2)\/(-12)*(-2910)\/485\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpz when three letters picked without replacement from zpzzzqpzyzqz?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 75\/24 + 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u + 15. What is q(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -256\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3124 + -3?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 28 = -3*n, -5*n + g = -g - 42. Let r = 7 - n. What is the second smallest value in r, 5, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 9456980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14119 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 30 = -2*t, -5*t = -4*p - 20 + 1. Let z = -278 - -516. Suppose 0 = -0*q - t*q + z. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2.1516, 0.994 in decreasing order.\nAnswer: 2.1516, 0.994, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 318 + -2?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9789920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2128218 and 3547030?\nAnswer: 10641090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5 + 10 + 4 + 2*y. Let j(z) = 1. Calculate b(q) - 6*j(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + b + 0*b - b + 0*b + 4*b + (5 - 2 - 2)*(1 - b - 1) - 516*b - 14*b + 34*b + (b - 3*b + 3*b)*(3 - 2 - 2).\nAnswer: -493*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = 18. Let z(k) = 3*k. Let x be z(1). Solve -y = l - x, -g*l + 4*y = l + 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 14, w: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = -5*z - 5*f + 2364, -5*f + 339 = z. Let k = z + -336. Solve 5*s - 4*v + 20 = -3*v, 3*v + 12 = -k*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 1\/2)\/((-1)\/(-59)). Let t = 265 - v. Put -2\/7, 0, t, 1\/5 in descending order.\nAnswer: 1\/5, 0, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofffffofffofff. Give prob of sequence of.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -60548700 rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 3*m - 5*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/120 + 3*x**5\/10 - 5*x**4\/2 + 28*x**3\/3 + 3316*x**2. Determine d, given that v(d) = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1959, -1902, -1841, -1776, -1707, -1634, -1557?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*g = -6*x - 26, -4*g - 22 = 5*x. Let b be 77271\/(-30)*(-21)\/x. Let q = b - -9018. What is the common denominator of -61\/16 and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -40, 1, 2\/19, -0.038, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by ((-42)\/(-9) - 4)*(6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-5)\/((-50)\/(-8)). Suppose k - 4*z = 126, -r*k + 107 = -z - 322. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-221)\/34 - (9 + -16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*b = -186*b - 359*b + 4718 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 1 - (51 - 93) - 4\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 8:10 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7910.718 hours?\nAnswer: 28478584.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-196)*(-42)\/(-12)*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1127 and 3136.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5 - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-29)*y)\/y)\/y)\/y)**(-45) assuming y is positive.\nAnswer: y**1395","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115477 is divided by 197.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4379 (base 14) to base 16.\nAnswer: -2d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddfddofdff. Give prob of sequence ffo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402585\/8 less than or equal to 1050322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q - 108. Calculate the least common multiple of 15 and o(-11).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/1492 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -7*q**3\/6 - 11*q**2\/2 + 13*q + 11. Let t(x) be the first derivative of r(x). Differentiate t(n) wrt n.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -867 + 3615. Suppose w = 58*n - 46*n. What are the prime factors of n?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 127. Let o be g(-18). Suppose -4*t = -3*k - 7, -5*k + o = t - 0. Let r(m) = 3*m**2 - 15*m + 6. Give r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.608617 + -5.491975. Let c = -6.9 + 0.8. Let k = c - i. What is k rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 34 + t + 43 - 29 as j*t**2 + n + r*t and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/(i\/(i\/(i\/(i*i\/(i\/((i*i**(2\/5))\/i)))))*i)*i)\/i)**(-18)\/(((i\/(i\/i**(-9)))\/i)\/i*i**(-2\/7)\/i) assuming i is positive.\nAnswer: i**(-1082\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k. Suppose k = -3*i + i + 6. Solve 0 = -2*w - 3*n + 16, 3*w + w + i*n = 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/(-5) - 2\/5. Let r = -116 + 120. Suppose 3*b + 0*b = -l + 37, r*b - 44 = 4*l. Calculate the highest common factor of b and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -4)\/((-2)\/(-38)). Suppose -p = -37 - u. Suppose 0 = 2*d + p - 164. Is d a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 140 = 2*v. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Suppose p = -a + 2*a + 5, -p = -5*a - 17. Suppose -2*m = -3*g - 0*g - 27, -4*m + 34 = -p*g. Does 5 divide h(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2110\/25 - (8\/20 - 0). Suppose -i - 4*x + 12 = 0, -i - 8 = x - 20. Calculate the greatest common divisor of i and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38801\/19 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -4, 319, 23, -3, -8 in increasing order.\nAnswer: -30, -8, -4, -3, 23, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 3.7. Let g = -0.09 - -3.69. Let a = g - d. Sort -5, a, 0.4.\nAnswer: -5, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + 26. Suppose 2*x - 6*x = 0. Let j be g(x). Suppose -j + 82 = -4*a. Is -25\/2 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (1 + 1) - (-1164 - -1145).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159564322 or 159564318?\nAnswer: 159564322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12.6 (b) -0.6 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:32 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 9*g - 2. Let y be r(9). Let f = -1 - y. Let u be (f\/2)\/((-2)\/(-4)). Is u at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41*(4 - (2 + -5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (20 - 11)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u + 205. Let d(c) = 6*c - 99. What is 25*d(n) + 12*s(n)?\nAnswer: 30*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4874642 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 38 = -q. Calculate the remainder when 76 + -5 - (-139)\/(-556)*4*-1 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*4\/(10 + -2). Let g = -1 + w. Which is smaller: g or -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 240 = -24*n. Let c(l) = 8*l + 2. Suppose -5*t - z = z + 27, -3*z - 16 = 4*t. Let q(j) = 7*j + 2. What is n*c(h) + t*q(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 - 3*d + 2. Let x be m(3). Let j be 25\/(2 + 3\/(-3)). Let n be 440\/j*(4 + 1). What is the highest common divisor of n and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4923279943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**3 - 13*t**3 - 22*t**3 + 78*t**3 - 16*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3b (base 16) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/5 - 5407482*w = 0. Calculate w.\nAnswer: -13518705, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18*o + 223. Let w be u(12). Solve -3*j + w = -i - 1, -3*i + j - 16 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-2)*y)\/y)\/y)\/y)\/y)**15*(y\/y**(-2)*y)\/(y*y**(-2\/5)*y) assuming y is positive.\nAnswer: y**(-363\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7795575 divided by -519705.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121564*x**2 - 121552*x**2 - 21*x**3 + 243116*x**2 - 3 + 3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15006 is divided by 1258?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 44 = 4*c, 0 = -2202*c + 2207*c + 4*i - 53 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 627006976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59893 is divided by 74?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*q + 881 = 11384 + 8187 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2 + 892*a - 1252. Calculate u(110).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-7)\/112)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.27 (b) -3\/7 (c) -3\/4 (d) -23 (e) -0.029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 8871947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 737139807*o**3 + 361*o**2 + o + 86?\nAnswer: 4422838842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 7, h: 4}. What is prob of picking 2 m and 2 o?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 15*n**2 + 4*n**2 + (5*n - 2*n - n)*((6*n - 3*n - 4*n)*(1 - 3 + 3) + (3 + 8 - 1)*(n - n - 2*n)) as f + c*n**2 + t*n and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = 3. Let x = -4 + v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-882 + 885 + 29*j + 38*j)*(1 + 1 + 0)*(4 + 3 - 4).\nAnswer: 402*j + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*r - r - 16, 4*r = g + 16. Suppose -5*i + 4*u + 17 + 80 = g, 3*i - 63 = 4*u. Let n be ((-10)\/4)\/(i\/(-34)). Solve n*v = v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10497 + 794 = 4872*x + 1547 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206.13 + 231.129. Let y = x - -0.001. Let u = y + -24.99999875. What is u rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 8)*(7 + 9*m - 6*m - 4).\nAnswer: -36*m - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/(-315) - (45717\/(-1029) + (45 - 2)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 504 = 51*t + 63*t. Which is the second biggest value? (a) -2 (b) 85 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 20701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-2)*(-4 + 6). Let a be -1 - -1*(c - -7). Suppose 0 = -s + 1 + a. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -4 + 4 + (sqrt(187) + (sqrt(187) - (sqrt(187) + 3*-2*sqrt(187))))\/sqrt(11))**2*6.\nAnswer: 24990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 39, 43, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880704 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21222201111211 (base 3) in base 8?\nAnswer: -20145065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.1 - -35. Let i = y - 8. Are 2\/5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 178.253\nAnswer: 178.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*t + 93*t = 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7966, -7969, -7972, -7975, -7978?\n\"Answer: -3*v - 7963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, k: 1, f: 2, v: 1, m: 1}. Give prob of picking 2 f and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -59. Suppose v = -4, -5*r - w*v = 429 - 1112. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1225*s.\nAnswer: -1225*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1584) + (sqrt(55)\/sqrt(5) - sqrt(11) - sqrt(11)) + 4)**2.\nAnswer: -200*sqrt(11) + 6891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214034976 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 22\/15, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131233103 - -12?\nAnswer: -131233031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 11*l**2 + 167*l - 36. Calculate j(21).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 267248.46.\nAnswer: 66812.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-40)*2\/(-1))\/((-62)\/248)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - p + 2. Let n be y(0). Suppose n*l - 8 = 2. Let r = 8.7 + -9. What is the closest to 2\/3 in r, l, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 5*n**2 - 2*n + 3. Let t be s(-5). Let k(o) = -21*o - 355. Let u be k(-17). Let q(x) = 8*x**u - x - t*x**2 + 7*x**2. Determine q(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*g = -14, -8 = -0*y - y + 2*g. Let t be ((-20)\/5)\/(-1 + 0 + -1). Solve 2*z = -t*z + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 10 + -37 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 0.2.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 716 divide 537393800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/(3\/(-6)). Let v be (-1)\/(-5)*1*s. Sort v, -0.1, -4\/9 in ascending order.\nAnswer: -4\/9, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42722807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8058 (base 13) to base 4\nAnswer: -10103301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 688073739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 208*s + 3834 - 1114 + 5738 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 2*t - 3. Let v be l(4). Let u = 11 - -31. Suppose 3*q = -15, 4*g - v*q - u = 23. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.11 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -806*f**2. Let w(c) = 4*c. Give w(o(i)).\nAnswer: -3224*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*z + 9*z + 3*z. Let u(g) be the first derivative of 3*g**2 + 4*g + 1. Let r(w) = -7*w - 5. Calculate z*r(j) - 5*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5631 - 4553. Solve v*r = 1066*r + 48 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11000110001?\nAnswer: -11000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 1. Let b(d) be the second derivative of d**3\/3 - d**2 + 113*d. Let s(i) = 12*i - 13. Let v(l) = -21*b(l) + 3*s(l). What is -2*q(t) - v(t)?\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9964*v**2 - 3705*v wrt v.\nAnswer: -19928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8 - 77.8. Let z = 67.99999941 + g. Round z to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 3*v - 3*v)*(0 + 0 - 6) in the form g + k*v and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249649 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 22777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -4*t, -3*r - 5*t + 16 = 6. Let w be 6\/4 - (-1243)\/(-22). Let h be (-8)\/52 - w\/104. Is r at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 4.33.\nAnswer: 1.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 6165114.\nAnswer: 43155798","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 2*t + 16. Determine h(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-284)\/(-3550))\/(1\/10) - (-28263)\/15. Solve -b*f - 24 = -1882*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 3587321?\nAnswer: -3587317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -44.26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/3 (c) -1\/4 (d) 2\/7 (e) -19235 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:37 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/6*810\/(-150). Let n(j) be the third derivative of 17*j**4\/8 - 65*j**3\/6 - 2*j**2. Is n(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -37\/7 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**6 - 77*c**4 - 324*c**2.\nAnswer: 360*c**3 - 1848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 3*z**3 - 2*z**2 + 5*z**3 - 3*z**2 as y*z + r + k*z**3 + l*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/16)*f)\/(f*f*f*f*f\/(f*(f\/f**(-1\/10))\/f)))**15 assuming f is positive.\nAnswer: f**(-471\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2\/5 - 44477572*x\/5 - 26686536 = 0. Calculate x.\nAnswer: -11119390, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + 12)*2\/(-2). Suppose t = -5*b - 6 + 116. What is the lowest common multiple of 3 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13192 and 23086?\nAnswer: 92344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -1101.\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:03 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*z - 7, -3*h + 2 = -3*z + 17. Let k(s) = -3*s**2 - 5*s - 4. Calculate k(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386558674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223560\/140 + 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 4, -1 in ascending order.\nAnswer: -125, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32136 rounded to 3 decimal places?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382854 to the power of 1\/2, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*g = -568*g - 72*g + 9262 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 3*c + 25. Let l(i) = -3*i**2 - 2*i + 24. Let k = 20 - 23. Let r(f) = k*l(f) + 4*u(f). Does 10 divide r(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9472858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + z**3 - 2*z**2 - 5*z**2 - 2*z**4 + 4*z**2 - 5*z as r + n*z + v*z**2 + j*z**4 + t*z**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t + 30*t = -66 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, -2496, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-480)\/((0 + 11\/(-1496))*(0 - -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 163*v**2 + 207*v - 7094. Calculate j(164).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14256)\/(-72)*36\/(-162).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 990?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111644 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 25. Suppose -3*z + 20 = 2*z + p, -4*p - 30 = -2*z. Solve -28 = 3*v + v + z*i, 4*i + 16 = x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 29*q**2 + 1666*q + 2. Let u(k) = -32*k. What is u(m(v))?\nAnswer: -928*v**2 - 53312*v - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/21)\/(-4)*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -1301141941.1611.\nAnswer: -1301141941.0611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n**2 - 2*n - 100. Determine j(0).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/13 + 3616*p\/13 - 2968146\/13 = 0.\nAnswer: -2421, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11517 + -2376075.\nAnswer: -2364558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215885?\nAnswer: 5, 43177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 3*o, -o = 2*o. Let a(y) = y**2 + 2. Let s be a(v). Let b(u) = -u + 6. Calculate b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -22. Suppose 4*x = -m - 2, 3*x = 2*x - 5*m - l. Is (x - -1) + 38 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12467 - 689*b**2 - 5126 - 7341.\nAnswer: -689*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3472 + 2023 - 3442 - 77)*(n + n - n).\nAnswer: -4968*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 860*x**2 - 1290. Let r(v) = -v**2 + 2. What is a(o) + 645*r(o)?\nAnswer: 215*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58274 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(-105) - 46\/(-10). Solve -2\/5*t**n + 2\/5*t**2 + 0*t - 2\/5*t**4 + 0 + 2\/5*t**3 = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4723111830 and 15\/16.\nAnswer: 37784894640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(10\/(-6)) + 40. Suppose 0*b = 5*b + 3*o - g, -4*b - 2*o = -34. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6845*z**3 - 8325*z**2 - 1560*z - 80 = 0.\nAnswer: -1, -4\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-1736))\/(22 - 294\/14).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20719.28 milligrams?\nAnswer: 20.71928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/824 and -13\/2266.\nAnswer: 9064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 11, n: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = 20. Let s(w) = w**3 + 3*w**2 - 4*w. Let l be s(x). Solve -2*t = -l*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -695591 - -978000877\/1406. What is the common denominator of -34\/171 and m?\nAnswer: 12654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:50 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120409, -240821, -361233, -481645, -602057, -722469?\nAnswer: -842881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 10 - 68 = -h, -4*h = -4*z - 304. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*b, 2*f + b - 4*b + 13 = 0. Let o be f + (1 - 0) - -1. Suppose -134 = -2*l - o*l. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705.9 minus 400153312?\nAnswer: -400154017.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3270183716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - -0.1. Let h be ((-13)\/2170)\/(1\/(-132)). Let g = h + 2\/217. Which is the second biggest value? (a) 2 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*b**4 - 19*b**4 - 7*b**5 + (2*b**2 - 6*b**2 + 3*b**2)*(2*b**3 - 2*b**2 + 2*b**2) + b**2 - b**2 + 5*b**5 - 4*b**5 + 3*b**4 - 3*b**4.\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose 2*m - 12 = -2*m. Let t = 2 + m. Solve 0 = 3*i + 5*g + 12, t*i = z*g - 8 - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 0*i - 4*i)*(3*i**3 - i**3 - i**3)*(1 + 0 + 0).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, -4, 0, 4.\nAnswer: -79, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-23)\/276)\/(((-2)\/4)\/(-1)). What is the third biggest value in 1, 0.3, c, 9, 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**25))\/(y\/((y\/y**2)\/y*y))*y**(-2\/27)\/(y**(-13)*y) assuming y is positive.\nAnswer: y**(943\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i**3 + 32*i**3 - 39*i - 9*i**3 wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 15*z - 410 = 0. Suppose -3*w + 4*r + 16 = -2*w, 0 = 4*w - r - 64. Calculate the smallest common multiple of z and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335\/6 + 56. Let c(d) be the second derivative of -d - o*d**3 + 0*d**2 + 0. Let i(m) = -2*m. Give i(c(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3611736 rounded to 4 dps?\nAnswer: -0.3612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*l + 9. What is the remainder when l is divided by -2*1 - (0 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6208*j + 585. Is c(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*y**2 + 106*y**2 - y**2 + (0*y - 2*y + 0*y)*(-4*y + 17*y - 6*y).\nAnswer: 140*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 0 = 6, 29*k - 25*k + q = -5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -301.5 + 301. Let f = -0.2 + 3.2. Which is the smallest value? (a) f (b) -1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c830 (base 15) in base 12?\nAnswer: -94490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -54) + (19 - 10) + 29?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19298866, -19298864, -19298862?\n\"Answer: 2*d - 19298868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 880581 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1879*c**2 - 1553*c**2 + 3682*c**2 + 3039*c**2 + 4013*c**2 to the form m*c**2 + i + j*c and give m.\nAnswer: 7302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 23. Let c(b) = b + 2. What is the remainder when i is divided by c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*b*c**3*s + b*c**2*s**3 - 3*c**3*s**2 - s**3 - 1 wrt b?\nAnswer: 44*c**3*s + c**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/24 + 4*g**2. Let y be h(2). Suppose -y*q + 36 = 10. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*l + 2. Suppose -d - 2*d + 6 = 0. Suppose -2*i + 4*o + 6 = -d, 2 = o. What is the remainder when l is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6265613 kilometers?\nAnswer: 626561300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let r = 3 + g. Let t = -89.4 - -89. Which is the biggest value? (a) 2\/19 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from bzhkbkbzskbzklkbbzb?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 32.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3161327 rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/7*364\/(-104). What are the prime factors of (-40)\/(-100) + 6126\/u?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 1\/11, 1\/9 in descending order.\nAnswer: 1.5, 1\/9, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35800596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1 + 8 + (-22 - -44 - -8671) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/2 + 216377*h - 46819006129\/2 = 0. What is h?\nAnswer: 216377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 107. Let i = 112 - 108. Suppose 0*j = -i*j + f. What is the remainder when j is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 + 12*w**3 - 18*w**2 - 12*w + 15 = 0 for w.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 2184*t - 369261.\nAnswer: -3*(t + 267)*(t + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/((-36)\/(-8))*15\/(-340).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r + 28*r - 160 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.026636 + 11.019036. Let r = o + -11. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -310323 - 15?\nAnswer: -310340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75903.6um?\nAnswer: 0.0759036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 76943254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose 0 = 3*f + 3, -4*f = -k*p + 35 + 2. Let b = -13 + 68. What is the greatest common divisor of p and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 238224*a + 6193784. What is w(-26)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12258 is divided by 219.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*f**3 - 953 + 953 + (-2 + 5 + 0)*(-3*f**2 + 4*f**3 + 3*f**2).\nAnswer: 45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -9*q + 133871*h - 133870*h, 4*h + 60 = 5*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**36\/(j**(4\/9)\/j*j*j**1\/j*j*j))**(2\/21) assuming j is positive.\nAnswer: j**(172\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let j(b) = -3*b**2 - 7*b - 1339. What is m(j(t))?\nAnswer: 3*t**2 + 7*t + 1339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 - (-6 + 46 + -64).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 3*l**2 + 4*l - 5. Let o(m) = -6*m + 33. Let w be o(5). Let i be -3*(-1)\/(w\/(-4)). List the prime factors of j(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at least as big as 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -1\/5, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 30848632872+-1.1\nAnswer: 30848632870.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168\/(-1260) - (-106954)\/30.\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 0*q)*(-4*q**2 - 3*q**2 + 3*q**2).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3 - 24*k - 15*k + 60*k + 1 - 23*k. Let o(q) = 157*q + 6. Let v(h) = -o(h) - 4*s(h). Differentiate v(l) with respect to l.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.76826 - -0.7731893. Round z to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -157*p - 1. Let q(j) = -626*j - 3. Give -9*a(x) + 2*q(x).\nAnswer: 161*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000158223 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1880\/11 + 936\/11*q - 2\/11*q**2.\nAnswer: -2*(q - 470)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtslqwwwwqtwwwzltww. What is prob of picking 2 t and 2 q?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.655037 - 10.344963. Let c = 0.29 + 0.01. What is the third smallest value in n, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-5)\/240)\/((-12)\/(-36)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252 a factor of 1030963620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-84)\/(-686))\/(1\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 + l**4\/12 + l**3\/3 - 9*l**2. Let m(k) = -k**2 + 3*k + 3. What is 4*m(q) - 6*n(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 426137519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 7 - 2*y + 18)*(2*y**4 - 8*y**3 + 2*y**3 - 14*y**3).\nAnswer: -4*y**5 - 10*y**4 + 500*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0. What is the nearest to 1 in 0.5, b, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -17*j + 492. Let m(g) = -4*g + 123. Let c(p) = -22*m(p) + 6*v(p). What is the lowest common multiple of 36 and c(15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -5\/6 (c) -1\/2 (d) -20 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8109 + 8512. Sort 5, k, -0.08 in decreasing order.\nAnswer: k, 5, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36515973043 - 0.05?\nAnswer: 0.31515973043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*o, 3 = 2*o + y - 9. Suppose 5*j + 0*l + 18 = 3*l, -5*l = 20. Let q = j + o. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 76, 0.\nAnswer: -5, 0, 17, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5598319\/260 + 1045398\/65. Let n = f + 5451. What is the common denominator of -25\/16 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292001\/2 - 441005\/3. Is -1001 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:28 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*c**4 - 149 + 439*c**4 + 13*c + 152 wrt c?\nAnswer: 3732*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 - 214. Let x = -65 - i. Suppose 2*b - 8 = -x. Calculate the greatest common factor of b and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -2*b, 5*n = -2*b - 1 + 17. Suppose -21 = u + 5*v, 0*u - n*v = 3*u - 2. Solve -d + 5 = -m + d, -5 = u*m - 5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241013 (base 5) to base 15\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*p - 5, 2*j = -3*p - 0*p + 10. Let z = 1590 - 1592. Which is the third biggest value? (a) j (b) -5 (c) z (d) -24\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 200*s**2 + 199*s - 249. Let h be z(-101). Solve f - 28*f = -h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 15822501958547\nAnswer: 15822501958546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**13*l*l**(6\/11))\/(l\/l**9*l)**15 assuming l is positive.\nAnswer: l**(1040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5\/2 (c) 0.03 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3587 is divided by 116.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let o(y) = 16*y**2 + 5*y - 13*y - 14*y**2. What is z(o(m))?\nAnswer: -4*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624 = -21*g - 31*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/816)\/((-35)\/126). Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1292 in 0.5, 7.9, 1, 2?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -5*c, 3*j + 2*c = 8 + 5. Let s be 1 - 0 - 0 - -6. Suppose 2*t + 5*o = 3*t + 1, -s = -t - j*o. Solve t*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*b + 59 - 59)*(-3 + 3 + 2*b**2) + (-3*b**3 + b**3 + 0*b**3)*(-1 + 0 + 2) to the form a + q*b + n*b**3 + d*b**2 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/2 + 1\/1. Is (-2)\/(-8) + 726\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1863, -7311, -16389, -29097, -45435, -65403, -89001?\nAnswer: -116229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148745 is divided by 24754.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9612 to 1 dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10326 + -417174?\nAnswer: -427522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 882 divided by 6.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93695344?\nAnswer: 2, 2399, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.63 - 42.63. What is the third smallest value in -3, -4, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -11308382?\nAnswer: 2\/5654191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 103*c - 800. What is s(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 59643.\nAnswer: 11928.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5, 2*m + 39*u - 34*u = 59. What is the remainder when 116 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.6 plus 426?\nAnswer: 419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {p: 3, f: 3, c: 1, k: 2, z: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -65. Let l(u) = -u**2 + 3*u - 1. Let c be l(3). Calculate the remainder when 5 is divided by (c\/(-2))\/((-4)\/g).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3058, 1507, 9114, 19763?\nAnswer: 33454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, 6 in ascending order.\nAnswer: -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:52 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14645 + -14645.00002022. Round m to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0 + 0*v**4 + 7\/30*v**5 + 1\/28*v**8 + 0*v**6 + 0*v**3 + 12*v**2 + 0*v + 0*v**7. Find the third derivative of j(c) wrt c.\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 56 = 3*y, -4*f + 4*y = f - 94. Solve 4 = 2*d - 2*q, -d - 4*d - 3*q - f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-30)\/16*(-1288)\/(-115)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-5 - (-1 - 6)). Suppose 2510 = q*r - 3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -30811.\nAnswer: -30810.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsz. Give prob of picking 1 s and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 566738162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 6. Suppose 3*i - 2*v - 23 = 0, 4*v + j = -2*i + v. What is the third derivative of -m**5 - m**5 + 3*m**i + m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**3 + 33*y**2 - 17*y - 25. Let p(b) = -3*b**3 + 4*b**2 + b - 1. Let g(a) = i(a) - 3*p(a). Determine g(20).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {k: 2, n: 1, v: 5, p: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96968, -96972, -96976?\nAnswer: -96980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/((-6)\/9)*(-344)\/11610*-108?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 4*n - 21. Let d be c(-7). Let i be (-1)\/((-2)\/(-9) + 28\/(-72)). Solve -3*s + s - i = d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-44)\/16 + 3)*0. Solve o - 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -661 + 465?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*a + 69 = 0, 5*a - 7*a + 37 = 3*p. What is the remainder when p is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*b + 18, 2*b + 19 = 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 5 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 17. Suppose 0 = -a + 2. Suppose -10 = -n*i + a. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189252 + 0.039?\nAnswer: -189251.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 2352.536?\nAnswer: 258.77896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -294, -276, -258, -240?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-45)*(-40)\/64*-2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21164*d + 3661341. Give y(-173).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 17 + (-1 - 4) + -2 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1315977466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let j = 71 - 70. Let r be 16\/132*-24 + 0 + 3. What is the nearest to h in j, 2, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 78128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.8612271 * -13.6\nAnswer: -11.71268856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2871 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52429502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*y + 20*y + 3*y + 57. Suppose u + 2 = -0*u. Which is the third biggest value? (a) y (b) u (c) 2\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -495, -3, -1050, 3 in ascending order.\nAnswer: -1050, -495, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 401*z\/2 + 2415\/4.\nAnswer: -(z - 3)*(z + 805)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -24150600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:38 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*p = -5*g + 5, 5*g - 29 = 2*p. Suppose n + 0 - g = 0. Let x be (n + 21)\/(2\/(-7)). Round x to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193\/252 - -93\/28. Put 0.3, m, -3 in ascending order.\nAnswer: -3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20157495*a**3 + 130*a**2 - 336*a + 2.\nAnswer: 120944970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/9, -0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 134820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236986 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17415042353 and 37.85?\nAnswer: 17415042390.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -22 - 11 - 21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 4 = 0, -r - 2*a + 12 = 0. Let b = -12 + r. Suppose -3*u + 4*d = -713, 3*u - 2*d - 701 = b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15640207, -15640206, -15640205, -15640204, -15640203, -15640202?\nAnswer: -15640201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 - r**4 - 4*r**4)*(956 + 30*r - 956 + 1 - 2*r - 1 + (0 - 3 + 1)*(-2 - 2*r + 2)).\nAnswer: -352*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/979 + -128261\/5874. Calculate the common denominator of w and 39*(-10)\/(-135) + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -29. Which is the closest to 1\/2? (a) -4\/3 (b) u (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139769829 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -1\/61232?\nAnswer: -1\/61232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936458 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 16) + 7 + -2 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -16. What is the smallest common multiple of (-50)\/(-3)*n\/(-10) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhchchchhh. Give prob of sequence ch.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let z(w) be the third derivative of w**7\/5040 - w**6\/360 + 3*w**5\/20 + 8*w**2. Let k(a) be the third derivative of z(a). Determine k(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**4\/24 - 2*k**2. Let w be b(-4). Suppose -2*h - 3*h + 5 = 0. Put h, 2, w in ascending order.\nAnswer: h, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 45 = -5*d, -426*d + 427*d - 4 = z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3262*b**2 - 104380*b + 128.\nAnswer: -2*(b + 32)*(1631*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001379834 to five decimal places.\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-6 + -18 - -20) + -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -3543?\nAnswer: 3543.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9274.24 and -0.1.\nAnswer: 927.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3663 (base 10) in base 3?\nAnswer: -12000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -0.3. What is the third biggest value in -0.06, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-9)*(-135)\/10. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -95\/2. Let r = m - 67\/8. Find d such that 1\/4*d - r*d**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9.169. Let d = u + 0.208. Round d to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330 + 1544?\nAnswer: 2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/15)\/o)\/(o**(2\/33)\/o*o*o) assuming o is positive.\nAnswer: o**(-117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*n - 14*n + 20*n)*(0 + 0 + 2*n + (-3 + 4 + 4)*(2*n + 0*n - n)) to x + c*n**2 + j*n and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lliili?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*q + 0*q - 5 = 0, -d - 4*q = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 10133.\nAnswer: 50665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q - 155. Let j be a(-15). Solve -2*p = 3*p + 25, 5*c + 5*p = -j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 5\/(-35) + 29\/7. Let f = -0.12 + 3.42. Let t = 2 - f. What is the nearest to -1 in 0.1, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/((-14)\/1575*(-48)\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -7. Let u(s) = 7*s**2 - 6*s. Let w(h) = -8*h**2 + 7*h. Let i(d) = x*w(d) - 7*u(d). Let n(c) = -21*c - 21*c + 42*c + c**2. Give n(i(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*-3) + 0)**2*-5 + 4 - ((sqrt(14) - sqrt(896))*5)\/(sqrt(252) + 3*sqrt(252)).\nAnswer: -15996 + 35*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121216 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1234905 and 117\/1330?\nAnswer: 2469810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + s + 3*s + 2*s. Let y(c) = 31*c - 107*c + 51*c. Determine y(x(p)).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 128496 - 3?\nAnswer: 128493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 0, 7, -5, 4 in increasing order.\nAnswer: -5, -3, 0, 4, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n - 46. Let s(k) = -2*k - 1. Give b(q) + 5*s(q).\nAnswer: 2*q - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 24. Let k be (16\/y)\/((-4)\/(-6)). Let s(g) = 7*g**2 - g - 2. Does 24 divide s(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1012, 611, 208, -197?\n\"Answer: -q**2 - 398*q + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 52*d = -3*d - 305 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -642\/11 (b) 136 (c) -2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 5, i: 9, j: 1}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 4*m + 15*o - 30, -3*m + 24 = -3*o. Let l(h) = -7*h**3 + 3*h**2 + 2*h. Let u(t) = 13*t**3 - 5*t**2 - 4*t. Calculate m*l(i) + 4*u(i).\nAnswer: 3*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by 32842.\nAnswer: -79\/16421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 12*h**2 - 6*h - 1. Let d be g(-12). Let j be (0 - (-15)\/(-9))*-3. Suppose 61 = 5*s - j*i - 44, -i = 3*s - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891) + sqrt(891)*1 + sqrt(891) + 3 + sqrt(1584))**2.\nAnswer: 312*sqrt(11) + 16747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 20*w + 21. What is f(8)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 344808938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 + 260 = 4*u - 5*g + g, -5*u - 50 = -3*g for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18586597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -26. Let w(b) = 61*b - 2. List the prime factors of w(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.1 - -2.1. Let d = f - -18.68. Round d to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-96) - (-285)\/912.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5304752 from 4701584.\nAnswer: -603168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 r when four letters picked without replacement from jrrjrrjjjr.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a - 6*a**4 + 0*a**4 - 8*a wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28273516 - 28273511.99999868. Let l = 0.018 - -3.982. Let t = l - c. Round t to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 266*(-1)\/(-12) - 6\/36. Let v(b) = -b**3 + 23*b**2 - 19*b - 45. What is the remainder when 145 is divided by v(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*1*10\/20. Suppose 0 = -o*r + 12*r - 15. Put r, 7, -5, 4 in increasing order.\nAnswer: -5, r, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*y**5 + 120640*y**4 - 824784*y**3 + 573308*y**2 - 139552*y + 11472 = 0. Calculate y.\nAnswer: -478, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 - 10*a + 17 + 19 + 7*a as z*a + u and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 23805600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128356, -128357, -128358?\nAnswer: -128359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411*h - 21821 = 15*h - 74869 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 24*t**2 + 23*t**2 + 0*t**2 - 6*t)*(-3*t**2 + t**2 + t**2).\nAnswer: t**4 + 6*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 3. Suppose -6*v = z - 0. Let f be v\/10*(-4 + -1). Solve -3*h - f*h = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822372045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*3\/(-17)*-2*(-2)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 minus 867.1?\nAnswer: -1157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 13080.\nAnswer: 39240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4321 (base 8) to base 9.\nAnswer: 3077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14263\/(-459) + 10 + 21\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 889 and 387477?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 17*b**2 + 5*b + 28. Calculate j(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - (6 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*z = 35, 7*s - 31 = 3*s + 5*z. Suppose -s*q = -5*h + 5 - 21, -3*q + 47 = 5*h. Solve -4*x - 7 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4014 + 4243. Calculate the least common multiple of 8 and i.\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -266*q**2. Let c(x) = -3*x**2 + 4*x. Calculate c(b(p)).\nAnswer: -212268*p**4 - 1064*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/3 - 76*i**4 - 1462*i**3 - 17600*i**2\/3 + 18200*i = 0. Calculate i.\nAnswer: -91, -15, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 10 - 10 = 0. Sort v, -2, -4, -31 in descending order.\nAnswer: v, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381639.\nAnswer: 3, 23, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4207, -7568, -10893, -14188, -17459, -20712, -23953, -27188?\n\"Answer: -g**3 + 24*g**2 - 3426*g - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 3*i + 1. Let r be s(-2). Let h = -11 - r. What are the prime factors of -3 + h*3\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 20*k**2 + 3*k - 24. Let g be t(10). Calculate the remainder when (1*-5)\/(2\/(-18)) is divided by g + (11 - -3) + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*c - 4, -7*c = -3*l - 2*c - 12. Let q be 1\/((-2 + 1)\/l). Let r(h) = 7*h - 5*h + 2*h. What is r(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-r + 2*r - 6*r)*(-r + r + 2*r)*(-1 - 8 + 2)*(-5*r + 3*r + 4*r).\nAnswer: -280*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -70*r + 639. Let i be l(9). Solve 0 = -0*n - 3*n - i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = -2*k - 131*b, 5*k - 4972*b + 15 = -4967*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 16996*t - 118971. Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*w - 149*w = 7106. Is 324 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13 + 6 + 0*n**2 + n**2. Let a be l(0). Let m = 21 - a. What is the greatest common divisor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 7) + (-43 - -81 - -24).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4\/(x\/((x\/x**(2\/13))\/x)*x)*(((x**(-1\/2)*x)\/x)\/x)**(-18\/7)*(x*(x\/(x*x**(-2\/17)))\/x)\/x**(-1)*x**(3\/5)\/(x**(-3\/2)*x) assuming x is positive.\nAnswer: x**(122537\/15470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2)*j*j)\/((j**(-8\/5)\/j)\/j) assuming j is positive.\nAnswer: j**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 3*o**2 + 12*o + 17. Let z be s(-7). Suppose 0 = 8*x + 1001 + 79. Let t = x + z. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*-1 - sqrt(931)) + 3 - sqrt(931))**2.\nAnswer: -126*sqrt(19) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*m + 688313 + 361683, -4*y = -3*m - 1399997. Let k = -63 + 95. Let d be (k\/(-2))\/(1\/y). Round d to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 6*d**2 + 4*d. Let v(w) be the first derivative of w**5\/30 + 12*w**2 + 23. Let h(g) be the second derivative of v(g). What is h(r(s))?\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 177719153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {b: 2, c: 7, w: 2, s: 2, x: 2, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*l - 5 = -72*l. Let u be ((-10)\/(-50))\/(l\/(-7)). What is the biggest value in u, -14, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + 2*sqrt(64))\/sqrt(8)*-1)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 1316*v.\nAnswer: -2*v*(v - 658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4734)\/(-3682)*14\/(-114)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4 - 52. Suppose -3*j = -2*l + 2*j + y, j = 0. Factor 1 + 2 + 12*v**2 + 4*v**3 + l*v - 3.\nAnswer: 4*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114820922 divided by -86\nAnswer: -1335127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -686 + -7fdb?\nAnswer: -8661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 54044\nAnswer: -5\/54044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 374434 or 374433?\nAnswer: 374434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccwntwiw. What is prob of sequence wwwn?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = 5*h, -h - 2*d = 2*h - 19. Let a be (4\/h)\/((-4)\/(-12)). Suppose -402 - 50 = -a*z. Round z to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645 (base 9) in base 10?\nAnswer: 4172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(91) + 5*2*sqrt(91))\/(sqrt(112)*3).\nAnswer: 1 + 11*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -151*k**2 + 7*k - 1. Let s(x) = -x + 1. Let c(l) = -j(l) - 4*s(l). Let t(y) = 76*y**2 - y - 1. Let a(q) = -2*c(q) + 5*t(q). Is 26 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*c - 16 + 2 = 0, -3*c + 16 = 5*r. What is the third biggest value in -16, r, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*p - 130 + 190*p + 130.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31474 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 1\/8, -12, 3\/5, 0.11 in decreasing order.\nAnswer: 0.7, 3\/5, 1\/8, 0.11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024413 (base 8) to base 10.\nAnswer: -272651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*u - 245*u - 64 = 0. What is the third derivative of 87*o**5 + 48*o**5 - o**2 - 82*o**5 - u*o wrt o?\nAnswer: 3180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 1 - 1\/3*f**3 - 1\/8*f**4 + 3\/2*f**2 + 0*f. Let a(v) be the second derivative of x(v). What is the derivative of a(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 28 = -s, -2*s - 9 = 440*q - 439*q. Let 34\/11*t - 216\/11*t**5 + 182\/11*t**3 - 4\/11 - 254\/11*t**4 + 258\/11*t**s = 0. What is t?\nAnswer: -1, -1\/4, 2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 64524653?\nAnswer: -64524652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + 36\/(-8))*0 + 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 30 = -6*a, -a = 207*p - 167*p - 76 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 122664.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 175724, -3 in ascending order.\nAnswer: -3, 2, 4, 175724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 4*d - 3 + 2 + 0 + 0 + d + (2 - 2 + 2)*(-1 + 1 - 2*d) - d - 3*d + 6*d - 2*d + 4*d - 4*d in the form v + k*d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 1 (b) 1\/4 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 - 7 + 5*q**2 - 6 + 6 - 25*q.\nAnswer: 5*q*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68063\/2 or 34031?\nAnswer: 68063\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = q + 93, -3*r - 90 = -7*r - 2*q. Let j = r + -21. What is the closest to -2 in 0.4, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6374*h - 4784*h - 533840 + 288113 = 1327551 for h.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 371 + 383 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45.8 times -0.33\nAnswer: 15.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1158*c**2 + 663 - 1156*c**2 + 165*c**3 + 2314*c**2 wrt c.\nAnswer: 495*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -4*h**3\/3 + 3*h - 2. Differentiate r(n) wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 152*x - 33. Let m(v) = -129*v + 31. Let z(f) = 4*m(f) + 3*p(f). What is z(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 + o**2 + o + 1. List the prime factors of f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/60 + 2*t**4\/3 + t**3\/2 - t**2. Suppose 0 = c + 3*b - 2, 2*c - 7 - 7 = -4*b. Let x be j(c). Is -14 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*15*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**4 - 5*q**4 + 6*q**4 + (-10 + 10 - 10*q**2)*(-119*q**2 + 1335*q**2 + 988*q**2) - 3 - q**4 + 3 to u + x*q**4 + d*q**2 + f*q + t*q**3 and give x.\nAnswer: -22043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -34*y**3\/3 + 55*y + 48. Let p(l) be the first derivative of d(l). Let a(c) = -c. Give a(p(v)).\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4239\/(-6123)*78\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -27?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-4092)\/(-684))*6*-1\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15694 is divided by 7828?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.4345 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1283*i - 6329. What is p(5)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 5*x + 11*i - 629290, 2*x = -2*i + 251736. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4489*982.\nAnswer: 4408198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 - 93*o**3 - 2*o**2 + 2611*o + 2.\nAnswer: -12*o**2 - 558*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.2, 0, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1047 + -1047.12. Let z = 2 - 1.3. Let p = 0.5 - z. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 1) + (-32 - -29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 2*s**2 - 2*s - 1. What is the units digit of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**4 - 2*l**4 + 5*l**4 - 8*l**4 - l**4 + 4*l**4 + (-l + 3*l - l)*(l**3 + 3*l**3 - 2*l**3) to i + t*l**3 + v*l**2 + m*l + k*l**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 955, 3, 6\/11, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -236*k**3 - 42*k**2 - 44*k - 3. What is x(-1)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let a be (1\/(-2))\/(4\/(-40)). Let p(h) = a*h + 0*h - 2*h + 0*h. Calculate p(d(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 11. Let j(f) = -2*f - 4. Suppose -3*o + 4 = -4*o. Let l be 6\/3*(-2)\/o. Let k be (l + (-1 - -1))*17. What is k*j(h) - 6*r(h)?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2323 (base 6) to base 13\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*j - 111 = -59*j - 3*t, -31 = 2*j + 5*t for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39074253?\nAnswer: 3, 13024751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*c - c - 236, 2*c + 118 = 2*k. Let y(v) = v**2 + 111*v - 448. Calculate the remainder when k is divided by y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 4 = -38*r. Are r and 10\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3 - 1\/4*d**3 + 7\/4*d**2 - 4*d = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.2. Let f = 0.1 + d. Let z = f + 1.000064. Round z to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*o**4*x + o**4*y + 2*o**4 + 2*o**2*y + 2*o*x + 2 wrt o?\nAnswer: 960*o*x + 24*o*y + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*w + 8*w - 308*w.\nAnswer: -55*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 3*y**3 + 2*y**2)*(0*y + 0*y - 2*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60086*o*r**3 - 3*o*r**2 - 29941*o*r wrt r.\nAnswer: 360516*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**0)\/s*s*s*s\/s**(-2\/7))**(-46)\/(((s\/s**(1\/3))\/s)\/(s*s**4*s)*(s*s\/s**(-2\/7))**(30\/13)) assuming s is positive.\nAnswer: s**(-53531\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y. Suppose 0 = 5*d - 2*p - 6, -4*p - 15 = 3*d + p. Suppose w - 21 + d = y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-105)*3*45*1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2314 and 21716.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 583*o - 3460. Give z(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f = -42081 + 39435 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -49*q - 3147. Give o(-65).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**6\/105 - g**5\/7 + 13*g**4\/42 + 20*g**3\/7 + 36*g**2\/7 - 26*g - 43. Let f(o) be the first derivative of n(o). Factor f(l).\nAnswer: 2*(l - 6)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(260))\/sqrt(10))\/sqrt(2) + (sqrt(1573) + 1 + sqrt(1573) + -1 + sqrt(1573)*1*2)**2 + 3 + -5.\nAnswer: -12*sqrt(13) + 25166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14122791 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from ququuqeuuqququuuuqqu?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 - 5*k - 5. Let u(g) = -g**2 - g - 1. Let d(l) = -q(l) + 5*u(l). Let n(x) = 18*x - 164 + 164. Give n(d(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -674 + 429. Let k = -251 - a. Let p be (-2)\/(-5) - 74\/10. Is p at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929.3622ml to litres.\nAnswer: 0.9293622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/28 and -43\/252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (15 + -17)) + -21 + -3 + 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 32 = 2*m, 3*m - 56 = -0*m + 2*v. Suppose 5*s + i + 962 = 2*s, 2*s + 4*i = -648. Let p = -281 - s. Calculate the remainder when p is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = l + m, -5*m + 20 = l - 7. What is the remainder when 1061 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2\/2 - 2901*r\/2 - 59598 = 0?\nAnswer: -924, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2269 and -2618 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -1. Suppose i + 81 = a + 8, -k*a = 2*i - 150. Suppose 0*c + 2*c = -y + 143, c - 2*y - a = 0. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let w be 3640\/(-700) - (6\/(-5))\/1. Which is the third smallest value? (a) k (b) 5 (c) w (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 112a53?\nAnswer: -112a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 14) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**0)*t\/(t\/t**(-2)))**(-5\/8) assuming t is positive.\nAnswer: t**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 - 2*r**3 - 6*r**2 - 10*r\/3 = 0 for r.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y + 2. Let r(b) = -24*b + 57*b - 36*b. What is r(i(g))?\nAnswer: 18*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 6 = -31*t + 2*c, 9*t - 2*c = 94. Solve t*f = -31*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10743\/61 + -1579421\/610. Let l = -2423 - d. Are l and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**4\/12 + 10*f**3\/3 - 2*f**2 + 7. Calculate t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*t + 130, 3*p + 3*t - 81 = 15. Solve 11*w + 0*w + p = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-1*9\/147)\/((-522)\/(-1827))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(1*4\/(-2)). Let x = -2 + a. Let y = -77 - -81. Calculate the least common multiple of y and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-3))\/(24\/36). Let z(q) = -i*q - 865 + 865. Let r(b) = -b. Give z(r(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-5))\/((-2)\/5). Let m be (72\/u)\/((-2)\/(-3)). Let j be (2\/1 + -1)*m. Solve 13 + j = 5*g + 5*b, 4*b = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2) + 0)\/((-3)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13445)\/1050 + 48\/(-180) - -13\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126480 is divided by 3417.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppqppppxtptjpttxpxxp. Give prob of picking 2 x, 1 p, and 1 t.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 + 176. Let y(i) = -5*i + 20. Let o(s) = -1. Calculate m*y(n) + 20*o(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1114, -1818, -2522, -3226, -3930, -4634?\n\"Answer: -704*v - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-9)\/(-3))*42\/(-49)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 7.04. Let p = 1 - g. Let r = p + 6.2. What is the third biggest value in 0.4, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -3. What is the third derivative of -c**2 + 0*c**5 - c**5 + 0*c**i wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58885.4 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-5*1\/5). Let w(i) be the second derivative of j*i**2 + 0*i**4 + 8*i + 0 + 2\/3*i**3 - 1\/6*i**6 + 0*i**5. Find the second derivative of w(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/3566 and -20\/9.\nAnswer: 32094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/209067 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let m = -16 - -17. Let x be d(m). Solve x = 5*c - 0*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.3 (b) 4\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 7, -3.\nAnswer: -10, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -29*z + 44. What is c(-7)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 208*x + 577. Calculate the remainder when b(96) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15821148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**3 - 3*q**2 + 3*q + 7. Let i(k) = -k**2 + 181 - k**3 - 91 - 89 + k. Give 3*i(s) - m(s).\nAnswer: s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c**3 - 3*c**2 + 3*c**2 - 147*c**3.\nAnswer: -53*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1781400 by -5.\nAnswer: 356280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -112. Let a be 10\/z*-2*(-1870)\/(-4). Calculate the greatest common divisor of a and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 65. What is m(46)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35105 - -2846. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 34*w**2 + 6*w - 243. Let l(c) = -2*c**2 - c + 2. Determine -6*l(n) - q(n).\nAnswer: -22*n**2 + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044023 (base 5) in base 9?\nAnswer: 27508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -39 + -2 - (2 - -1 - (321 + -318))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088546501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*b - 8349 = 1865 - 86 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 8*m - 261. Which is greater: 36 or m?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17590*-1582.\nAnswer: -27827380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -3316, -8835, -16552, -26461, -38556?\n\"Answer: n**3 - 1108*n**2 + 2*n + 1104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -45*y**2. Let t(h) = -62*h. Give t(g(a)).\nAnswer: 2790*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-151)\/604)\/(3\/(-96))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 20*i - 6. Calculate the remainder when 205 is divided by d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, -31 in ascending order.\nAnswer: -31, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddddxdddxddxxxxxx. Give prob of sequence xx.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*-1*(-1)\/(-2). Let l be (5 + -4)*q\/6. Sort -1\/3, -5\/2, l.\nAnswer: -5\/2, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 - 2*u + 1. Let w(n) = n**2. Let f(o) = q(o) + 4*w(o). Let c(i) = i**2 - 2*i + 5. Let h be c(-4). Let j = h - 32. What is f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*a = -674*a + 88 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(70\/(-21) + 4). Let z(j) = 10*j**3 + 4*j**2 - 4*j - 4. Let h(d) = -49*d**3 - 21*d**2 + 21*d + 21. Calculate v*h(k) - 21*z(k).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, -2, 0.31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 9. Let x be p(0). Let n(v) = -7*v**2 + 18*v - 17. Let c be n(x). Is c*3\/((-30)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -1, -0.17, -1\/4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/7))**34)**(3\/32) assuming a is positive.\nAnswer: a**(153\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31920*l*r + 140*l + 637*r - 7629 wrt l?\nAnswer: -31920*r + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -1\/845570?\nAnswer: -1\/845570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**3 + 2*n**2 + (3*n**2 - n**2 - n**2 + (-22*n - 45*n - 3*n)*(-1 + 1 - n))*(8*n + 5*n - n).\nAnswer: 853*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*i**3*o**2 - 94*i**3*o - 155*i**3 - 113*i**2*o**2 - 7120*i**2 + 2*i*o**2 + 2*i*o + 2 wrt i.\nAnswer: 822*o**2 - 564*o - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0*d**3 + 0 + 0*d**2 - 1\/110*d**5 + 1\/231*d**7 - 1\/33*d**4 + 5*d + 2\/165*d**6. Solve j(k) = 0 for k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37887483083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34\/(-6))\/((-5)\/15). Suppose -3*a + z = -174, 0*a + 4*a + 5*z - 213 = 0. Let v = 74 - a. Is k at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*2\/(-5) + 0. Suppose a = -4*q + 3*b, 2*q + 2*b - 5 = 1. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - ((-20 - -8) + -4)) + (-2 - (-4 + -35))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -4, -7, -10, -13, -16?\n\"Answer: -3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/21 + ((-78)\/(-14) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 + 2*n - 2. Suppose 0 = v - 4*j - 37 + 15, -3 = -4*v - j. Let q be a(v). Solve 3*x + 12 = 3*k, 3 = k + 2*x + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1\/59 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 3) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from tstwfrktstrf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -831 (b) -3 (c) -1 (d) 32.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 5. Let t(p) = 3*p + 13. Let m(z) = -13*k(z) - 4*t(z). Determine m(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -205, -303, -397, -487?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*r + 57*r + 65*r - 156*r.\nAnswer: -188*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y**(-2\/21))\/((y\/(y\/(y**(-1)\/y))*y)\/y)**(7\/2) assuming y is positive.\nAnswer: y**(767\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3 - z**3 - 5*z**3 + 4*z + 2*z**3. Let a(v) = -9*v**3 + 9*v + 7. Let h(w) = w + 5. Let j be h(0). Give j*g(i) - 2*a(i).\nAnswer: -2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -542 + 545. Solve -u*h = -4*l + 25, -20 = -2*l + 2*h + 2*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 7*x**4\/12 + 11*x**3\/6 - 11*x**2 - 13*x - 2. Is w(4) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 1\/2*u**3 + 0 - 5*u**2 + u. What is the remainder when 48 is divided by c(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-9)\/(-6))*2. Suppose v + d*j = 1, 4*v - 28 = -j + 9. Suppose 5*o + 0*o = v. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10007148 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85681 - -54372. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrtr. What is prob of picking 1 r and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 334 - -158. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90516 divided by -12?\nAnswer: -7543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35555749 + 32.35551949. Let v = -20 - 12. Let a = v + k. What is a rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c**3*j**2*l + 11580*c**3*l**2 + 3*c**2*j**2*l - 3*c*j**2*l**2 + 3*c*j*l - 29*j**2 wrt l.\nAnswer: 23160*c**3 - 6*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.4 - 21.4. What is the closest to 1 in -0.5, n, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228 * 524.3.\nAnswer: 119540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(16\/(-216)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.98 + -0.02. Let w = -1 - a. Which is smaller: -2\/5 or w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/110)\/(8\/(-15)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 9*x**2 - 8*x + 1. What is l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-31 + -12 - -48)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/11)*t*t*t*t*t*t*t**13*t*t)\/(t\/(t*(t\/(t**(-4\/3)\/t)*t)\/t))**(-43) assuming t is positive.\nAnswer: t**(-4028\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4110334 (base 5) in base 10?\nAnswer: 66344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2096, -0.1565, -0.05?\nAnswer: -0.1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 1587?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1049801\nAnswer: -16\/1049801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4376, -8752, -13126, -17498?\nAnswer: -21868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/152 + 4 + 156\/(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 13 - 52*k**3 + 12 + k**2)*(-9*k + 2*k - 9*k) as h + d*k**2 + t*k**4 + c*k + i*k**3 and give t.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14399 - 14400. Is k greater than or equal to 13\/470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*j - 26 = 0, 3*w = 4*j - 2 + 24. Suppose -3*t - z = -w*t - 244, -t = -3*z - 236. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.24391 + 1.64391. Suppose t + 0 - 5 = 0. Which is the biggest value? (a) 30 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + 5. Let t be 48\/21 - 4\/h. Let q(i) = i - 1. Let b(g) = -g + 1. Let w(f) = t*b(f) + q(f). What is w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 183048915555 and 0.12.\nAnswer: 183048915555.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*y + 7)*(10*y**4 - 2 + 14*y**4 - 25*y**4).\nAnswer: 3*y**5 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 982, -3, -8, 4, 16, 5 in increasing order.\nAnswer: -8, -3, 4, 5, 16, 982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -102202111 (base 3) to base 10\nAnswer: -8572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/2 - 0)*-2. Let w = u - 1. Suppose 2762*d = 2803*d + 164. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 3:02 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8 - 0. Suppose c = -2*f + 4*f. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 193336.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.53217 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14119 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18798 and 788793?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3155, -3157, -3159?\n\"Answer: -2*z - 3153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13311 - -931751\/70. Let p = -1735\/7 + 1786\/7. Calculate the common denominator of p and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(15\/(-9)) + -5. Let m be l + (4 + 0 - 2). Suppose -4*c + 12 = -4. Solve m = c*s - 6 - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1\/5, 564, 153?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122656939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l**3 + l**2 - 3*l + 1. Let b be s(1). Let y be (-2 - b\/(-12)) + (-146)\/12. Is 1 + 47 + 6*8\/y a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:34 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k = -112*k - 30 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*r + 1205 = 8975 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-5)*19320\/(-15456)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5465 - 105542?\nAnswer: -100044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322 - 231?\nAnswer: -11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24084 divided by -12042\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3150\/(-10500))\/((-6)\/(-64)*16\/44)?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Suppose -y*m + 54 = -2*m. Let s be 4\/14 - m\/(-7). Solve -s - 4 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1808\/13 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(12)\/sqrt(4))*-1 - (sqrt(3) - sqrt(15)\/(1*sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 161480 divided by 16148\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5\/6))\/(l**(2\/51)*l))**(-2\/19) assuming l is positive.\nAnswer: l**(-27\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 12*d + 3. Let q be y(-7). Put 5, -2, q, -1 in decreasing order.\nAnswer: 5, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -5856.\nAnswer: -5856.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w - 4. Let u be g(7). Suppose 5*c - 5*a = u, 5*c - 87 - 29 = -4*a. Let t = -40 + 80. What is the highest common factor of t and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115419939.\nAnswer: 3, 38473313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 6 - 1*-9. Suppose m*l + 130 - 380 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3342 and 31\/292.\nAnswer: 487932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 120*m + 8. Let b(r) = 1. Give -10*b(w) + v(w).\nAnswer: 120*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4228*g**2 + 95 - 611*g**3 - 95 + 4228*g**2.\nAnswer: -611*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3024469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19216 and 30.\nAnswer: 288240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805068417?\nAnswer: 3, 268356139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 8*u**2 - 6*u + 6. What is the units digit of p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 - 6*q - 31. Let a(r) = r**2 + r + 1. What is -4*a(p) - n(p)?\nAnswer: 3*p**2 + 2*p + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08173 and -2.43504907.\nAnswer: -2.51677907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 232441409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2336 and 65695328?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210678.33147 + 0.6?\nAnswer: -3210677.73147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -70 - 20. Let z = -42 + c. Let d(y) = y**2 + 7*y + 7. What is the remainder when z is divided by d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgnb when four letters picked without replacement from qbbblnnggbgzngblzgzg.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*u**2 - 2024463 + 2024463 - 380*u**2.\nAnswer: -640*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 + 11*p**2 + 8*p + 7. Let t(w) = w**3 + w**2 + 1. Let h(n) = -3*t(n) + v(n). Suppose -j = -5*j - 20. Is 13 a factor of h(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 14 (b) 1\/8 (c) 1195.7 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2221.135 * -1\nAnswer: -2221.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbbbbqbrbivin. What is prob of sequence in?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185199*p**3 - p + p + 14892*p**3.\nAnswer: 200091*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 6:43 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*5*((sqrt(448) - (sqrt(448) + 0)) + sqrt(448)))**2.\nAnswer: 2400*sqrt(7) + 403225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)\/h)**18\/(h*((h**(-1\/4)\/h)\/h)\/h*h)**0 assuming h is positive.\nAnswer: h**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11974.966204 + -11975. What is b rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1053) - ((sqrt(1053) + -1)**2 + 5 - sqrt(1053))) + 3 + (0 + sqrt(1053) + -4 - (-4 + sqrt(1053)*-1)).\nAnswer: -1059 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:37 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/5 + 576928*c**2\/5 - 83212056221*c\/5 + 166421804738\/5 = 0.\nAnswer: 2, 288463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 3) + (0 - (-7 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24855\/28754 - 1\/1307. Suppose -o + 3*o = -800. What is the common denominator of 210\/o*(-68)\/(-6) and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -6. Let c = i - 0.3. Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ede (base 15) in base 4?\nAnswer: 310133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*z**4 + 54*z + 4169?\nAnswer: -32*z**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -66781\/5, 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57269 is divided by 3664.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*n - 154, -3*n + 30 = -3*f - 108. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w\/(w\/(w**(-2\/7)*w*w)*w))))\/(w*w*((w\/w**(3\/5)*w)\/w)\/w*w))\/(w**(6\/11)\/(w*w*w\/(w\/(w**8*w)))) assuming w is positive.\nAnswer: w**(2991\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:41 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxvrxi. Give prob of sequence rxsi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 8 = 29*x + 179 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1971 and 229527.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 545327143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*w + 728 = 0, 7 + 2 = 3*w. Let r be l\/20 - (2 + -10). Which is the biggest value? (a) 4 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78099565, 78099561, 78099557, 78099553?\nAnswer: 78099549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13221\/952 + -180\/119. What is the common denominator of (-5)\/(-3)*24\/(-2) and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 24.46. Let x = -0.326 + 0.186. Let q = x - m. What is the closest to q in 1, -1\/6, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2, 1\/4, -43484, -3, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p - 202. Let t be y(-17). Solve 0 = -t*r - 8 - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(1331\/(-493) - -3). Let y = m - 139471\/20646. What is the common denominator of y and -37?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - p - 2*p)*(4*p**2 - 2 + 2) + 14*p**3 + 3*p**3 - p**3 + (-3*p + 5*p - 4*p)*(1 - 1 + 2*p**2) to m*p**2 + w*p**3 + d*p + k and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 3. Suppose -11062 = -74*d + 4182. What is the remainder when d is divided by l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 20858.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0. Let a = 1 - f. Let i be (-16)\/(-112) + (-2)\/7*2. Sort 2\/15, a, i in decreasing order.\nAnswer: a, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35214 and -221?\nAnswer: 34993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**7\/2 - u**6\/5 - 1071*u**5\/20 - 146*u**4 - 70*u**3 + 144*u**2 - u - 179. Determine m, given that j(m) = 0.\nAnswer: -6, -1, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066999 to the power of 1\/2, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 14*r + 6. Let o be w(6). What is the tens digit of (-6)\/(-18) - 106\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20 + -19736?\nAnswer: -19756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020382 rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.031 (b) -42 (c) -0.03 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -1 + (-10 - -15) - (66 - 23)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1309351020 to the nearest one million.\nAnswer: -1309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 41. Let z be v\/12 + (-1077)\/(-9). Suppose -2*c - 4*s = -178, z = 2*c + 3*s - 60. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/5 - 31386*g**2\/5 + 8013357*g\/5 - 264960774\/5 = 0.\nAnswer: 39, 222, 10201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:45 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 909151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106c (base 15) to base 12.\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4634, -9828, -14998, -20144, -25266?\n\"Answer: 12*r**2 - 5230*r + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1017, 1011, 1005, 999?\n\"Answer: -6*m + 1023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from hfhffh?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 less than -0.160704439087?\nAnswer: -0.590704439087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*n**2 - 2 + 389*n**2 + 209*n**3 - 131*n**2 - 135*n**2 to m*n**2 + t*n + r + g*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45551, 45553, 45555?\nAnswer: 45557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 89*x = -396. Let l(v) be the third derivative of 0 + 0*v**3 + 11*v**2 + 4\/3*v**x - 1\/3*v**5 + 0*v. Find the second derivative of l(a) wrt a.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v + 7\/3 + 1\/3*v**3 + 3*v**2.\nAnswer: (v + 1)**2*(v + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 16 = -11*y. Solve r = 4, -2*m - r = -y + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405\/2288 - -1\/208. What is the third smallest value in t, -0.5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z + 165*m - 131*m = -53*z - 59, 5*m = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, -33 in descending order.\nAnswer: 5, -2, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 20*c**2 + 157*c**2 + 8*c**4 + 180*c**2 - 75*c**2 + 1 - c**3 to the form r*c**3 + u*c + p + q*c**4 + w*c**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.67 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/96 and (27 - (-469830)\/(-17400))\/(1 - 11\/5).\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -20) + -6 + 13 + 27 + (-1 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((7 - 1) + (-20 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 7 + (29 - 7)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 + 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 600 = 4*r. Let o be r\/33 - 4\/22. Suppose -5*s = 2*u - 141, 0*s + s = u + 24. Calculate the greatest common factor of s and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115 = 27697*n - 27777*n + 155 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61839451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 650385*v**3*w**3 - 13*v**3 - 351007*v**2*w**3 - 74*v*w**3 wrt v?\nAnswer: 3902310*w**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8328 - -12295. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 2030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - ((1 - (-45 + 35)) + -18 + -1)) + -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 18*r - 502. Determine m(11).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7066271.2999993 + -7066272. Let r = 0.7 + n. What is r rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -294*n**2 - 182*n - 6. Let s(v) = -2 - 11 - 2836*v**2 + 2249*v**2 - 368*v. Let d(r) = 13*f(r) - 6*s(r). Find the second derivative of d(o) wrt o.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*h - 4*d, 7 = 18*h - d - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -332888, -665793, -998698, -1331603, -1664508, -1997413?\n\"Answer: -332905*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513424 and 1568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1810.0763 + 1810. Let b = z + 0.0762671. What is b rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34415 divided by 12892.\nAnswer: -34415\/12892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6082.807575 + -0.007575. Round d to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 10)\/((-12)\/(-147)). Find the first derivative of 58 - 4581*x + 4581*x - a*x**2 wrt x.\nAnswer: -98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1697 - -1798. Which is the third smallest value? (a) -2\/5 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 18\/(-14)*(-938)\/201.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 788 = 2*q + 768, 2*q - 12 = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 31*m**2 + 116*m - 1486. Give d(34).\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 - (13 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Suppose 3*a - 2*s - 4 = 0, 2*a + 3*s = 8 - 1. Suppose 4*c + a = 2*x, -c = -x + 4*c - 2. Solve x*y - 4 = -q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f. Let t(s) = -31*s + 8*s - 7*s + 9*s. Determine t(y(d)).\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpomvmovommmpdpjvpjp. What is prob of sequence vvo?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3493602 and 4\/8967.\nAnswer: 213109722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/(-57) + (-1304)\/37164.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -26. What are the prime factors of (236\/y)\/((-2)\/4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9385*m + 1 - 1521*m + 19392*m as p*m + v and give p.\nAnswer: 8486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 9. Let n(o) = 6*o - 1. Let l be n(h). Suppose 4*q - 2*q + 80 = -5*y, -y = -l*q + 16. Which is smaller: -14 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9564943 months in centuries?\nAnswer: 0.00246374525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 at least as big as -415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from hhhhkhmkhkhhk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -43. What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 6. Let t(q) = -32*q + 15. Let v(d) = 4*g(d) - t(d). Give v(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380474 at most as big as -380474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/(-18)*(5 - 8). Solve 40 = -5*f - 4*b, -5*b + 7*b + z = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05384 and -2999881882?\nAnswer: 2999881881.94616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}