diff --git "a/data/dm_maths/full_data/1705_11255.jsonl" "b/data/dm_maths/full_data/1705_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1705_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose h + 3*a = 4148, 2866 = -2*h + 4*a + 11132. Let x = h + -1468. Round x to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.9 - -31.9. What is the nearest to -2 in 3\/8, -0.2, v, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53420 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/((1\/(-4))\/((-5)\/(-40))). Let o be (3\/(-9)*0)\/(t + 5). Solve o = -3*g - 12, 0 = -3*a + g - 6*g - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 13. Let w = h - 32. Is 10 a factor of w\/(-6) + (-854)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-15 - -10)) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47523234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87491620229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v. Let g(x) be the first derivative of 0*x + 0*x**2 - 1\/3*x**3 + 8. Calculate g(f(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 118*o - 739. Let c(h) = -40*h + 245. Let x(u) = 3*b(u) + 8*c(u). Differentiate x(i) wrt i.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 179032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114790093*h**3 - 32655*h + 822.\nAnswer: 688740558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4621 or -80\/7?\nAnswer: -4621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 + r**4\/12 + r**3\/6 - 3*r**2\/2 + 3*r. Suppose -9*u + 7*u = 0. What is v(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 + 2*m - 3*m + 11*m. Let p be l(-6). List the prime factors of (-73)\/(-3) - 4\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651 - 642 = 9*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -37072*u - 4 + 2 + 37071*u - 9*u**2. Let n(b) = -13*b**2 - b - 3. Calculate -7*j(l) + 5*n(l).\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -122. What is the remainder when 77 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/34 and ((-6)\/(-4))\/((-3393)\/441 - -8).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -900 less than 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 1, v: 1}. What is prob of sequence vk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:45 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 + y**2 + 11*y + 7. Let p(u) = -4*u**3 + u**2 + 6*u + 4. Let w(s) = 3*h(s) - 5*p(s). Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 2. Let r(f) = -1. Let a(d) = r(d) + y(d). Let m(o) = -7*o + 6. Calculate -5*a(z) - 3*m(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -272 divided by -4\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, 4, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -381 - -255. Let j be (24\/q)\/((-2)\/(-3)). Let n = -2 - -1. What is the nearest to 2\/3 in j, -0.5, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303662 (base 8) in base 14?\nAnswer: -28786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115333119 divided by 6.\nAnswer: -38444373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, -7, 0, -82 in decreasing order.\nAnswer: 2, 0, -1, -4, -7, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001110001 (base 2) in base 6?\nAnswer: -44545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 + 10*v - 13. Let r(t) = 4*t - 9. Let s be r(0). Calculate the remainder when f(s) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15. Suppose 2*s = -4*j + 24, 0*s - 11 = -j - 3*s. Let m = -6 + j. Are m and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501*r*s**5 + 7*r*s**2 + 960*r*s + 2*s**2 - 5*s wrt s?\nAnswer: 10020*r*s**3 + 14*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1900))*4 + (sqrt(1900) - 4*2*sqrt(1900)).\nAnswer: -30*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -124, -181, -238?\n\"Answer: -57*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-81) + -2)\/((-96)\/(-72))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 9) to base 5.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d)*(-3*d + 2*d - 2*d) + (0*d + 0*d - 2*d)*(0*d + 2*d - d) + 4*d**2 + 3*d**2 - 4*d**2 + (561 - 561 - 115*d**2)*(2 - 4 + 1).\nAnswer: 122*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202 + 22001?\nAnswer: 20244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Differentiate 0 + 3 + 3*m**u - 4 with respect to m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3147862 divided by -6\nAnswer: -1573931\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4183771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -91 + 71. Let f = 23\/51 - 2\/17. Which is the nearest to f? (a) 5 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -4. Suppose -8*q = -12*q + v. Let m(l) = 18*l**2 - 3. Let p(s) = -35*s**2 + 7. Let h(f) = q*p(f) + 9*m(f). Differentiate h(w) wrt w.\nAnswer: 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39336?\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4320.585 times 0.063\nAnswer: -272.196855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (8 - -2) - -3450. Suppose -6*s = -2010 - r. What are the prime factors of s?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 934.8706 to the nearest ten.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-26 + 20 - -20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(20))\/sqrt(4) - sqrt(5) - sqrt(5) - (2*sqrt(20) - sqrt(20)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (9\/(-3))\/((-6)\/4) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 188500 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25316 is divided by 12657.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 11*c - 1130298. Suppose -7*n - c = -8*n. Suppose -216617 = -5*j + n. Round j to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 283\/3. Let t = -44 - -41. Which is the third biggest value? (a) t (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 + 139. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81b8 (base 13) in base 16?\nAnswer: -45e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r + 67530 + 0*r**2 - 67521. What is x(7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/23))\/(t**4\/t))\/((t**(-1\/17)\/t)\/((t*t**(-7)*t)\/t)) assuming t is positive.\nAnswer: t**(-2731\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1. Let b(d) = d - 2. Let q(f) = 4*b(f) + 7*i(f). Let t = -4 - -6. Let k be q(t). Calculate the greatest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-138406945.\nAnswer: -692034725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 9*i**2 + 13*i - 16. Let s be (1 - -1)\/((-425)\/(-612) - (-4)\/(-9)). Give z(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 233 = f, -u + 61 = 3*f + 2*f. Let s = u - 44. Suppose -58 = -2*t + 4*k, 116 = 4*t + s*k + 2*k. Calculate the remainder when 56 is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1738764 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -5\/3*q**3 + 0*q + 11 + 5\/2*q**2. What is the second derivative of f(d) wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22290994711 take away -546?\nAnswer: -22290994165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p = -112*p + 51*p + 1975479. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 0*w. Solve r + 5*m = 17, 0 = w*m - 6 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(125)*-2.\nAnswer: -10*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.6 - -65485.\nAnswer: 65499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30324*x - 139406 wrt x.\nAnswer: -30324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -3. Let s = -0.1 + f. What is the nearest to s in 1, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10874.3676.\nAnswer: 10871.3676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 429769 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -96, -205, -408, -735, -1216, -1881, -2760?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/2 - 195*i**4\/2 + 1143*i**3\/2 - 1697*i**2\/2 - 384*i + 1134 = 0?\nAnswer: -1, 2, 3, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.47 and 408.\nAnswer: 599.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -6. Let s(z) = z**4 + 5*z**3 + z**2 - z. Let r(h) = -h**4 - 6*h**3 + 2*h. Let c(q) = u*s(q) + 2*r(q). Suppose c(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 8:48 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -167, -227, -287, -347?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 20. Let i be 321168*-274*r\/8. Suppose 2*u - i = -4*o, -3*u + 32741519 = -5*o - 258471. Round u to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, 0.2, 0, 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32*15624\nAnswer: -499968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/36*(-2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13345 is divided by 2666?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23164 divided by 11582\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 43.557 and 10.\nAnswer: 53.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-3) + 3\/(-1). Suppose 0 = 4*l - 10 - t. Suppose -l*m = m - 4560. Round m to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1451?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 - 2) + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 637 = 3*k. Calculate the remainder when k is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842 is divided by 394?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = d + 3*d, 0 = -5*a + 4*d + 22. Let z(h) = -a*h + h - h. Let m(l) = l**2. Give z(m(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) -0.5 (c) 857 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 812901837 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9391\/11334 + 9\/1889. What is the nearest to -1\/2 in -0.3, s, 25\/4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 170*b - 2 - 338*b + 172*b. Let k(f) = 9*f**2 + 7*f - 5. What is -2*k(s) + 5*t(s)?\nAnswer: 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660\/220)\/((-9)\/60).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.39.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 - 66*k**4 + 420*k**3 - 600*k**2 = 0. What is k?\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + -3*(sqrt(1584) + (4*sqrt(1584) + sqrt(1584))**2) - (4*(-5 + -2 + sqrt(1584)))**2) + 2.\nAnswer: -144931 + 2652*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9451 - -1051. What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-9)\/189 + 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycrllyrc. What is prob of picking 1 y and 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose 0 = -23*s - 95*s + 8405 + 799. Suppose 4*c + 72 = -f*a + 7*a, 4*a - c - s = 0. Is 19 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -355456*o**4 - o + 8102236?\nAnswer: -1421824*o**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -273 + 417. Solve 8*d - 12 + k = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 168\/(-15) + (-1)\/(-5). Let a = 37 + y. Let b = a - 30. Let i(l) = l**2 + 4*l. Give i(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlln when four letters picked without replacement from nlll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63626000893.255 - -10590192.255. Let h = y - -63615410201.99999689. Let v = h - -499. Round v to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52968.4 to the nearest one hundred.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2978 or -2983?\nAnswer: -2978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5.3. What is the biggest value in -2, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 3*o**3 + o**3 + (-o - o + 3*o)*(-18*o**2 + 38*o**2 - 35*o**2).\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:46 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 2. Suppose 15*g - 8 = 11*g. What is k(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410227 is divided by 478.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.025 - -4.975. Put q, 3\/23, -0.3 in decreasing order.\nAnswer: q, 3\/23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*f - 9 = 3*k, -4*k - 4*f + 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91283 + 296364. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 + 2*b + 16. Let t be p(-5). Sort -2, t, 1, 5, -5 in descending order.\nAnswer: t, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + 2*b - 4. Let o(u) = -11*u**2 - 3*u + 7. What is 5*d(f) + 3*o(f)?\nAnswer: -3*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 1. Suppose 0 = l - b - 26. Let o = 17 + -3. Calculate the remainder when l is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(609\/(-98)))\/((-2)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-2)\/(-28)). Suppose k*h = -o + 3*h + 139, -3*o - h + 395 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22157250 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -13. Let h be b - ((-2540)\/52 - 2\/13). Let y be ((-1)\/3)\/(14\/(-966)). Calculate the highest common factor of h and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2894.008 - -2883. Let k = c + 0.008. Let r = -16 - k. What is the nearest to 2 in 1\/4, r, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 0 = 2*z - f - 1, z + g*f = -2*f + 28. Solve 4*b - 1 - z = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3382*i - 145. Is h(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 292 - 301 = 0. Which is the second biggest value? (a) -0.1 (b) k (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)*p**10*(p\/(p\/(p\/((p*p**(-1\/3)\/p)\/p))*p))**(-2\/115) assuming p is positive.\nAnswer: p**(23749\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 - x - 2. Let r(o) = 3*o**3 + 9*o**2 - 2*o - 5. Suppose -y = 34 - 2. Let d = y - -22. Let b(z) = d*s(z) + 4*r(z). Factor b(l).\nAnswer: 2*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m - 133. Let n(b) = -42*b - 936. Let s(o) = -4*n(o) + 27*t(o). Let i be s(-25). Determine z so that i - 9\/4*z**2 - 3*z = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10388 = 9*f - 2*f. Let p be (28\/5)\/((-535)\/(-321)*(-3)\/(-25)). Calculate the greatest common divisor of p and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-44)*t\/t**(-2\/97)*t*(t\/t**(-1\/34))\/t*t**(-43))**(-39) assuming t is positive.\nAnswer: t**(-520923\/3298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195 - -212. Calculate the remainder when 49 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7710 and 4112.\nAnswer: 61680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17271\/(-9595))\/(3\/2*-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 + g + 2. Suppose -4*k + 70 = -p, 2*k - p - 25 = 9. Calculate the lowest common multiple of i(-5) and (-12)\/10*(-60)\/k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2512\/236717 + 29119171257\/3381502345. Let o be (-28580)\/14285 - (-3 + 1). Let u = o + s. Calculate the common denominator of 12 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297.79 - -297.69. What is the third smallest value in -6, -0.2, x, -0.4, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2170443 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 514960092 divided by 4\nAnswer: 128740023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*i - 108*i - 1690*i + 1935*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.9 + -30.9. Which is the biggest value? (a) -3 (b) 0.06 (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 628047 by -21.\nAnswer: -29907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 204 in 3\/458, 3, 2\/9, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -y + 109, -l + 43 = -5*y + 4*y. Let n = l + -3. Let j = 22 + n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*g + 2*g + 25, 0 = 4*y - 3*g + 25. Let q = -3 - y. Suppose q*o + o = 75. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 4*p = 176. What is the remainder when 28 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, -3703, 4?\nAnswer: -3703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Find the third derivative of -2*a**p + 9*a**4 - 6*a**4 - 2*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 22, -10, -76, -188?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*(1 + (sqrt(5200) - (sqrt(5200) + -3))*4)*5)**2)*-1.\nAnswer: -67604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6889*-0.000994\nAnswer: 6.847666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 605 or 338?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12285 is divided by 439?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 13. Let m be s(-4). What is the remainder when (m\/(-4))\/((-1)\/(-68)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -26322609.\nAnswer: -2\/26322609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 61900 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from respereevvervev. What is prob of sequence se?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 1, 4, 0.4 in decreasing order.\nAnswer: 4, 1, 0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bzzacmmpp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-720)\/450*8\/12*(-172305)\/12 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(8\/(-6))*0\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/(3\/9). What is the second derivative of 4*v**5 - 4*v + b*v - 2*v**5 - 4*v**5 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q**(-28)\/q)))\/q)\/(q*q**26\/q)*((q*q**(5\/13))\/q)\/q*q*q**(-1\/6)*q)**(7\/5) assuming q is positive.\nAnswer: q**(-29911\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1475072 - -5?\nAnswer: -1475066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -11, -25, -41, -59?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 9. Let a be b(7). Suppose -a*m = -24 - 10. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*m + 1. Let h(j) = 5*j**2 + j. Let a be h(m). Suppose -157 = -3*c + a*d, 5*d - 3*d = 3*c - 155. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -342 + 2*h + 310 + 0*h. Let x be k(20). Suppose 168 = -x*y + 16*y. What is the remainder when 36 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26432421*o**3*v + 2*o**3 + o**2*v + 2*o**2 + 3882*o*v + o - 33*v - 3 wrt o?\nAnswer: 158594526*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1789558776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 40 (b) -3910.7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 41 - 6 - 40)*(-8*s - 5*s + 2*s).\nAnswer: 1331*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -15031, 4, 36.\nAnswer: -15031, 0.2, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 183996672.\nAnswer: 1287976704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-3 + -1*sqrt(208) - sqrt(208)))**2 + sqrt(208) + sqrt(208) + 1 + 2.\nAnswer: 80*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21011 (base 3) to base 12\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128402, 256988, 385576, 514166?\nAnswer: 642758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -909.\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 201 - 60 + 0*y**3 - 49 - 2*y**3 - 36.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = -2*v + v, -o + 2*v = 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) - (-14)\/(-4) - -8. Let x = -25 + 44. Let o be x\/3 + 1\/(-3). What is the highest common factor of o and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706718?\nAnswer: 2, 307, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175) - sqrt(175))*-1 + -4 + 0)**2.\nAnswer: -120*sqrt(7) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33668*a**2*o**2 + 34*a**2*o*y**3 - a**2*o - 2*a*o*y**2 - 2*a*y**3 + 10*a*y**2 + 67*o**2*y - 1665*o*y + 3*y**2 wrt a.\nAnswer: 67336*o**2 + 68*o*y**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 17 + 91 = 0. Let b = 76 + d. List the prime factors of -2 + -3 + b - -15*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 6, z: 12, d: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t - 30 = 0. Let g be (4\/(-8))\/(3\/t). Let s be (132\/9)\/(-11) - 4\/(-3). Put g, s, 5 in decreasing order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 + 67076*m - 17574957 = 0.\nAnswer: -67337, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-23 - -12) + (2 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1008) - (sqrt(1008) + -3 + sqrt(1008) + 2)**2).\nAnswer: -360*sqrt(7) + 24198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21, -24, -37887 in ascending order.\nAnswer: -37887, -24, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*t**2 + 6 + 12 - 18 to the form g*t + i + l*t**2 and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {q: 2, z: 1, o: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 217760*k - 217764.\nAnswer: 4*(k - 54441)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8710 a factor of 1376819707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 86, 0.2, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -29679*d + 860637. Give x(29).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.4 - 12.4. Which is bigger: -18 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t - 21*t + 34*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-24)\/(-15) + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 10, p: 4, n: 2}. Give prob of sequence pnj.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15647670 by 333.\nAnswer: 46990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337\/129949 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428 - 70*u**2 - 125*u**2 + 54 + 374 - 15*u**2.\nAnswer: -210*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20780392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*s + 353 = 9*u, -u - s + 117 = 0. Calculate the greatest common factor of u and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -21*g**3 + 2313. Let u(r) = -19*r**2. Determine u(i(j)).\nAnswer: -75411*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*q - 44*q = 2288823. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from eulezlelzleeezeteee?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -651*o - 52. Let z(y) = 6*y + 51. Let a be z(-9). Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 + 616*j**3 - 6*j**2 + 2*j wrt j?\nAnswer: 24*j + 3696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + r**2 + 0)*(-4*r**2 + 3*r**2 - r**2) - r**4 + 3*r**4 - r**4 - 135 - 11*r**4 + 137 - 9*r**4.\nAnswer: -21*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + -6*3\/(-3). Suppose 6 + z = a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*(k**15\/k)\/k)))\/k)\/(k*k\/k**8)*k**10*k**(-2))**(-5\/13) assuming k is positive.\nAnswer: k**(-135\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a0513 (base 11) in base 10?\nAnswer: -952284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 101\/(21109\/2850) + (-7 - 5). Determine n, given that -2\/11*n**5 + 0 + r*n**3 - 4\/11*n**4 + 4\/11*n**2 - 16\/11*n = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 10:05 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/511 and -16\/219?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35897454.\nAnswer: 2, 3, 839, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4))**40 assuming g is positive.\nAnswer: g**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 12 = -20*d. Solve 4*n = 5*m + 22, -4*m + 0 + 1 = d*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 1:24 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = k - 800, -3*k - 2*u = -2332. Suppose -3*w + 567 = -o + 4*o, 4*w - 4*o = k. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16568757.7 to the nearest ten thousand.\nAnswer: -16570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**2. Let r(v) = 89*v - 1. Determine r(z(h)).\nAnswer: 1068*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8346*g - 203. Is w(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s - 18. Let o be g(5). Calculate the greatest common divisor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(612)*-1 + sqrt(612) - sqrt(612))*-6 + 3 + (sqrt(119)\/sqrt(7) + sqrt(17) + sqrt(17) + sqrt(17))**2 + 2 + -5)*-2.\nAnswer: -496 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 505 + -735. Let g = -183 - w. Is g >= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 592306 and 3952?\nAnswer: 4738448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983473597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1017*l**2 - 214*l?\nAnswer: 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65814796 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: Let o(f) = -f**3 + 6*f**2 - 74*f + 439. Let b be o(6). Let x = -42 - -40. Let y(s) = 2*s + 1. Let t be y(1). Sort x, b, -3, t.\nAnswer: b, -3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 9. Calculate z(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -1294, -2915, -5186, -8107?\nAnswer: -11678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j - 12. Suppose 1 - 5 = z, -3*z = j*s - 20. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 8*n + 4. Suppose 5*f = 4*v - 20, 3*v + 3*f - 19 = -4. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + -5 - (1 - -2). Calculate the greatest common divisor of o and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -10, -33, -58, -85?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 3. Let d be 1\/2 + (-17)\/2. Let u = 15 - 9. Let v(r) = -3*r + 2 + 0 + u + 0. Calculate d*o(q) + 3*v(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {u: 2, v: 5, t: 1, s: 1, e: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 677*o**2 + 3*o)*(1 - 3*o**2 - 4 - 2 - 6*o**2).\nAnswer: 6093*o**4 + 3385*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -794759, -1589895, -2385031, -3180167, -3975303, -4770439?\n\"Answer: -795136*l + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4462 is divided by 622?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 35*h**2 + 3*h - 15*h**2 - 17*h**2 + 2*h**3 + 4. Let d be 5\/2*(-8)\/(-10). Let u = 1 + d. Let j(i) = i**3 + i**2 + i + 1. Calculate u*j(p) - c(p).\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 5 + 7. Suppose 0 = -q - 4*n - 7, 0 = -10*q + 5*q + 3*n + 11. Sort q, -5, g in ascending order.\nAnswer: -5, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 109, 132, 173, 238, 333, 464?\n\"Answer: m**3 + 4*m + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9664 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 230.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 2. Let n be s(5). Suppose 3*m = n*m. Let g = m - -3. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let h(n) = 5*n + 131. Let u(r) = -r - 26. Let v(p) = 2*h(p) + 11*u(p). Let k be v(-18). Calculate w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364259 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148592432 to the power of 1\/2, to the nearest integer?\nAnswer: 12190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 7*j + j**2 - 3*j. Let l(c) be the first derivative of 40*c**3 + 108. Calculate l(h(t)).\nAnswer: 120*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -6*t + 38. Let z be 12\/t*(4 + 2 - 1). Suppose 4\/5*i**2 - 2\/5*i**3 - z + 2\/5*i = 0. What is i?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 117*z + 403. Let b be r(-55). Solve b*q - 136 + 10 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -10669, 0.3, 63, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 4 + 74\/(-9) - -1 and 35\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 11*m**2 - 7*m - 100. Let d(h) = 3*h**2 - 2*h - 33. Let a(n) = 7*d(n) - 2*u(n). Let y(o) = 7*o. Determine y(a(r)).\nAnswer: -7*r**2 - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*h + 2*i - 70, 100 = 5*h - 5*i. Calculate the greatest common divisor of 30 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 127225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**2 - c**2 - 4*c**2 + 2 - 2 - c**2 + (1 + 2 - 1)*(2 - 2*c**2 - 2) + 4*c**2 - 6*c**2 + c**2 + (-2 - c + 2)*(-2*c + 4*c + 0*c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -18 - (-11 - -8)) + 116.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117, 986, 3353, 7968, 15581?\n\"Answer: 125*x**3 - x**2 - 3*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (415 - 437 - (-19 + 0)) + 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1311 + -1251. What is the highest common factor of r and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2097 - 1635. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - 3.9. Let v = -0.1 + 0.6. Let x = a - v. What is the closest to 0.1 in -0.2, x, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034182 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 766671858 to the power of 1\/2, to the nearest integer?\nAnswer: 27689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 - 5*n + 6. Let g(x) = -x**2 - 35*x - 90. Let q be g(-32). Let u(l) = 12*l**2 + 9*l - 11. Calculate q*u(h) + 11*o(h).\nAnswer: 6*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*m + 1539 + 5586 + 831 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645063.\nAnswer: 3, 53, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -43, 0.15, 0.3 in increasing order.\nAnswer: -43, -0.3, 0.15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 289431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11455223, -11455214, -11455205, -11455196, -11455187?\n\"Answer: 9*o - 11455232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -4\/7 (c) -34 (d) 1 (e) 0.3 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 219. Let l(o) = o + 101. What is -6*a(g) - 13*l(g)?\nAnswer: 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 13. Let p(n) be the first derivative of n**6\/180 - 74*n**3\/3 + 93. Let q(b) be the third derivative of p(b). Calculate q(t(y)).\nAnswer: 2*y**2 - 52*y + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 2)*(8 - 8 - 8*p**2) + (1 - 1 + 2)*(p**2 + 0*p**2 + p**2) + 3 - 3 + p**2)*(-79*p - 65*p + 50*p) as g*p**3 + w*p**2 + u + l*p and give g.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169 - 8357*u**3 - 2452188*u**2 + 8*u + 2452188*u**2 wrt u?\nAnswer: -50142*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7615820069 to the nearest integer?\nAnswer: 87269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x\/((x*x*x**(1\/5))\/x)))*x**6*(x**(2\/39)*x)**19 assuming x is positive.\nAnswer: x**(5026\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - 1. Is x(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from xajsxgjxjgjsvggsg.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 3960 = 37*d. Let u = -5 + 16. Suppose -8*t = -u*t + d. Calculate the least common multiple of t and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 20*w**2 + 19*w + 25. Let g be 2 - ((2 - 2) + 23). What are the prime factors of d(g)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -8. Let h be 26\/10 - 2\/(-5). Solve -8 = -4*y - 3*v + b, -h*v = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = 3*c, 4*z + 0*c - 26 = 3*c. Let h = -6 - -17. Suppose 5*s = h + 9. Do s and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/1088, -6\/23, 4?\nAnswer: 3\/1088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4f2c (base 16) to base 9\nAnswer: -30720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - sqrt(2736)*2)*5 + 5)*5.\nAnswer: -300*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(38\/(-57))\/(4\/(-183)). Let a = k + 63. Find the third derivative of 29*x**a - 59*x**2 + 16*x**2 + 28*x**6 + 38*x**2 wrt x.\nAnswer: 3360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 0*i**2 + 4*i - 6*i as s*i**2 + x*i + r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1241 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 939 = -345. Which is greater: 213 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.35586257 rounded to 1 decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 241 = 2*t, 4*t + o - 2*o = 489. Let h(f) = -11*f - 19. Calculate the remainder when t is divided by h(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -30*p - 29. Let c(v) be the first derivative of 0*v**p - 2 + 3\/5*v**5 + 3\/2*v**4 + v**3 + 0*v. Let c(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*q - 102*q + 13752 = 0. Let o = q + -187. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 26 = -4*w + 114, w = 5*q + 31. What is the remainder when 111 + (24\/(-30))\/((-1)\/(-5)) is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 133*l**2 - 1344*l - 386. Give d(122).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 2494*v**2 + 4950*v - 37350.\nAnswer: 2*(v - 3)*(v + 5)*(v + 1245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(25\/5) - 14. Let b be 18\/7 - w\/(-21). Suppose b = -4*z + 30. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13494*b**2 - 2*b + 3. Let y be a(2). Suppose -3*l - 152489 - 246436 = 0. Let v = l + y. What is v rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Let u be (y*3)\/(4\/2). Is 4 - u - (-14 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (11\/66 - 46\/(-12)). Calculate the greatest common factor of r and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-90253708.\nAnswer: 9025370.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8282264 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 234*n + 25778. Calculate a(-110).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5238, 5314, 5390, 5466, 5542, 5618?\n\"Answer: 76*w + 5162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let z be (-152)\/(-32) + q\/(-4). Solve -z*v - n - 5 = -3*n, -4*v = 2*n + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = -2*h + 170, 0 = h - l - 85. Suppose 7 = 3*v + h. Let x = 72 + v. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3986*d**3 - 5503*d**2 + 172963*d + 4?\nAnswer: 23916*d - 11006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(6)\/(-2*sqrt(18)) - ((sqrt(9) - -1*sqrt(9))\/sqrt(3) - (1*sqrt(12) - sqrt(12))\/sqrt(4))).\nAnswer: 65*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3018 - 1450. What is the thousands digit of j + (-8)\/24*-18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.09 (b) -1\/84 (c) -1\/2 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*x + 198*x = 2*x - 451100. Which is smaller: x or -1386?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28832 by -1696.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Suppose 4*a = -5*v - 19, 20*a - 11 = 4*v + 19*a. Let m(g) = 87*g - 16. Let d(j) = -43*j + 7. Let w(i) = v*m(i) - 7*d(i). Give w(q(u)).\nAnswer: 40*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.344935ug?\nAnswer: 0.004344935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372.05 less than -105?\nAnswer: -1477.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**24\/((q**(2\/9)\/q)\/q)**(2\/69) assuming q is positive.\nAnswer: q**(-4936\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f + f)*(5 - 3 + 2) + 4*f**2 - f**2 - 2*f**2 - f**2 - 11*f**2 + 0*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699 + 721. Suppose -y - 39 + j = 0. Is -0.11 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c. Let u be g(1). Let n(m) = -8*m + 5*m - 2538736 + 2538720. Calculate n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 157.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = -0. Let p be n\/6 - (-2)\/3. Suppose -3*m = -4*l + 5, -5*m - 6 = -5*l - p. Solve -2*h - 3*q = -19, l*h = -5*q - 0 + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(2*c**2 - 2*c**2 - c**4) + 2*c**4 - 3*c**4 + 0*c**4 + 22*c**4 + 64*c**4 - 16*c**4 + 2*c**4 + 0*c**4 + 0*c**4.\nAnswer: 70*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 - -0.13. Let l be 5\/(-2)*(-42)\/(-385)*11. Which is the third biggest value? (a) l (b) 1 (c) -2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66199000 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 26 = s - 2*s, -2*y + 48 = -3*s. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0890924 * 4\nAnswer: 0.3563696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 + 3*a - 2*a**2 - 5*a**3 + 12*a**3. Let s(h) = -h**4 + h**3 + h. Let n(x) = 3*s(x) - v(x). Find the third derivative of n(b) wrt b.\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.3774926 centuries?\nAnswer: 3.774926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 23854*q - 70 + 23849*q + q**2 - 47706*q. Give c(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybcyywpcyywpbp. Give prob of sequence yy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -33 + 105. Suppose -8*b = -4*b - h. Is b at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4408 divide 814792352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:57 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, -3\/4, -2\/3 in decreasing order.\nAnswer: 5, 2, -2\/3, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93858.\nAnswer: 2, 3, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -130?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 54) + 0 + 70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 42 + 113*a**3 + 15 - 2*a + 12 + 57*a**3 to the form w*a**2 + n*a**3 + m*a + t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a - a + 0*a)*(-7*a - 3 + 9*a + 5) + (0 - a + 0)*(-a - a + 4*a) to the form n*a + h*a**2 + f and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, 3*l + 6*n - 1132 = n. What are the prime factors of l?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*a - 3*l, 5*a + l - 3*l = 13. Let s be a\/(0 + 1\/2). Suppose s*c - 6 - 2 = 0. What is the nearest to 1 in 3\/5, c, 3\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4940.674 nanograms to tonnes.\nAnswer: 0.000000000004940674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 4*z**2 - z**2 + (2*z - 5*z + 4*z)*(3*z - 2*z - 3*z))*(2*z**2 + 2*z - 2*z) in the form c*z**2 + n*z**3 + g*z + p + o*z**4 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 + 3. Let w(o) = 8*o**2 - 5*o + 2. Let v(y) = 5*y**2 - 3*y + 1. Let f(j) = -5*v(j) + 3*w(j). Determine -2*a(h) + 6*f(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/6 - 23*a**5\/5 + 7*a**3\/3 + 6*a**2 + 29*a. Find the second derivative of v(p) wrt p.\nAnswer: -60*p**2 - 552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 43378 = 5*v + 4*u, -u + 34706 = -4*v. What is the units digit of 5\/(-3) - v\/54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3 + 341022*t**2 + 14534783664*t - 189009824744 = 0.\nAnswer: -85262, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h. Let r(u) = -3*u + 1. Give -4*r(t) + 3*x(t).\nAnswer: 3*t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(175)*-3.\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w + 162 = -45*w - 2*h, 12*h + 3 = 3*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/735 - 13*c**6\/420 + 2*c**5\/15 + 17*c**4\/7 - 240*c**3\/7 + 2974*c**2. Determine h so that b(h) = 0.\nAnswer: -4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.135 + -0.235. What is the smallest value in 0.4, j, 2\/19, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 28 (b) 0.0389 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001018065 rounded to five dps?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125806522 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-832 + 10*s + 832)*(-64*s - 73*s + 141*s - 1) as l + v*s + o*s**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*b**2 + 36*b - 36*b + (-9*b**2 - 8*b**2 - b**2)*(2 - 1 + 0).\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 + 217. Let i = 15.81 - 15.9. What is the smallest value in 2, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113022032 (base 5) to base 8.\nAnswer: -1762026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 2. Let m(n) = 2*n + 3. Let y(r) = -6*m(r) - 13*v(r). Let f be y(-13). What is the second smallest value in -0.4, f, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yggggggygg. What is prob of picking 3 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 44029 (base 14) to base 13\nAnswer: 59c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 12:46 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 6*o - 25*o. Solve o*q + 10 = -q + 3*n, -2 = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 3*d + 638 + d**2 - 4*d**4 + 2*d**4 - 3*d**2 - 662 as n*d**2 + h*d**3 + a*d + s + m*d**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*q - 109*q**2 - 15*q + 36*q)*(-27 + 59 - 26).\nAnswer: -654*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/((-48)\/(-140)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472\/5 - 94. Let a = -769 - -770. Let t = -0.71 + 1.01. Sort a, -3, j, t in descending order.\nAnswer: a, j, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32703, -32741, -32781, -32805, -32795, -32733?\nAnswer: -32601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*x = -403, -4*f - 2*x + 404 = 2*x. Let v = 160 + f. Suppose 12*p - v = 7*p. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7457, 7460, 7447, 7406, 7325, 7192, 6995, 6722?\n\"Answer: -2*t**3 + 4*t**2 + 5*t + 7450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 558, 1207, 1854, 2499?\n\"Answer: -x**2 + 652*x - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(475))**2*-5 - 4*sqrt(228)\/(sqrt(48)\/sqrt(4)*3).\nAnswer: -7140 - 454*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*k - k - 2*k)*(2 - 2 - 2) + k - 2 + 2 + 9*k - 8*k + 10*k)*(-3*k**3 + 13*k**2 - 13*k**2).\nAnswer: -30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 106\/8 - 5\/20. Let j = n + 15. Let r = j - 17. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 + (-483)\/(-28))*1028.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -36847847.\nAnswer: -36847847.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -60*t + 14371. Let q(c) = 75*c. Determine q(l(i)).\nAnswer: -4500*i + 1077825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**3 + 8*k + 3. Let o(n) = 4*n - 16. Let b be o(5). Let c(m) = 5*m**3 - 7*m - 2. Calculate b*d(j) + 5*c(j).\nAnswer: j**3 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:55 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 4*c = -20*l - 16, 11*l + 9 = 5*l + 7*c - 0*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9217 to 2 decimal places.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -128162, -128164, -128166, -128168?\n\"Answer: -2*j - 128160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-5) + 2 + -4 + -1. Let s(y) = y**2 + y - 23. Let i be s(5). Suppose 18*u - 11 = i*u. Sort u, 9, o in decreasing order.\nAnswer: 9, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-25)\/20)\/(-5))\/(1\/2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -38*f - 1710. Let m(c) = -3*c - 171. Let r(k) = -j(k) + 10*m(k). Let p(q) be the third derivative of -q**4\/24 - 3*q**2. Calculate -p(o) + r(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r**3 - 4*r**2 + 4*r + 3. Suppose 0 = -29*n + 14*n + 45. Let m be o(n). Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**3 + 0 + 10\/3*q + 11\/3*q**2.\nAnswer: q*(q + 1)*(q + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 10*m**2 + 9*m + 1. Let v(z) = 11*z**2 + 11*z + 3. Calculate 5*l(c) - 4*v(c).\nAnswer: 6*c**2 + c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/4 + 153*s**4\/4 + 159*s**3\/2 + 3*s**2\/2 - 315*s\/4 - 159\/4 = 0. Calculate s.\nAnswer: -1, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-4))\/(7 - (-2010)\/(-288)). Is 27 a factor of (p\/(-10))\/((-22)\/2860)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -53*v + 617 + 35 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/4 - 50*v - 255.\nAnswer: -5*(v + 6)*(v + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -36. Let l be a + (-2 - (-6 - -1)). Suppose -l*m - 4 = -76. What is the remainder when 93 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 7, y: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 5*d**2 - d. Suppose 0 = -4*t + 2*t - 6. Let b be -8 - 0 - (0 + t). What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llljjjllllj?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -374 + 2*t - 143*t**3 + 740 - t**2 - 366 in the form d + n*t**2 + m*t + f*t**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 27*w = -392. Find the second derivative of 29*a - 2 - w*a - 29*a**5 + 29*a + 12 wrt a.\nAnswer: -580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-35)\/(-700)*8\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744, 742, 740, 738, 736, 734?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/((-72)\/32))\/(7\/(-5691))?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 5*o)*(-1 + 10 + 21)*(2 - 3 - 1 - o).\nAnswer: -120*o**2 - 240*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = -4*o - o - 122, -4*o = b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/120 - o**5\/15 + 2*o**3\/3 + 3*o**2. Let u be n(-4). Let i = -320 + 320. Solve z - u*z - 6 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 38 = 8. Suppose -3*u = -u - z*b - 13, 3*u - 3*b - 42 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 10) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 25580150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 11247?\nAnswer: 224940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (185\/40 + 0 - 4)\/(69 + -70)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*o**3*v - 3*o**3 - 4*o**2*v + 4*o**2 - 3*o*v - 4*o - 92*v - 7076 with respect to v.\nAnswer: 50*o**3 - 4*o**2 - 3*o - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5525 + 5525 + 6477*z to the form x*z + q and give x.\nAnswer: 6477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Solve -j**3 - j**2 - j**2 + 2 + z*j - j**3 = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(425) + 0 - ((sqrt(85)\/sqrt(5) - sqrt(17) - sqrt(17) - sqrt(17) - sqrt(17)) + -5)))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q*q\/q**(1\/6)*(q**0)**24)\/(((((q**(-5)\/q)\/q)\/q)\/(q\/(q*q**2)*q))\/(q**(-4)\/(q*(q**(-3)*q*q*q)\/q*q))) assuming q is positive.\nAnswer: q**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684252 is divided by 1306.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 2852*y + 5688 = 0. What is y?\nAnswer: -711, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amm when three letters picked without replacement from aamm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1410? (a) -0.2 (b) 2 (c) 44 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.117.\nAnswer: -4.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 800*y + 804*y = -14, -2*y = 74*m + 135*m + 426 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(1\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138.56 + 0.44. Let d = 63673543.000268 + -63673404. Let u = h - d. Round u to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -65, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 36*o - 156 = 0. Suppose o*k - 144 = 18*k. What is the smallest common multiple of 102 and k?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**4 - 5*b**3 + b**2 + 5*b - 6. Let a(p) = -3*p**4 + 14*p**3 - 2*p**2 - 15*p + 17. Let u(q) = 4*a(q) + 11*m(q). What is r in u(r) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.82071907 rounded to 1 decimal place?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-27 - (8 + -4))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v\/(v\/(v\/v**(-3)*v)*v)*v)\/v*v)\/v)\/((v**(1\/6)\/v)\/v))**(-4\/25)*((v*v**1*v)**24)**(1\/19) assuming v is positive.\nAnswer: v**(3614\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 35*b**2 - 29*b + 170. Let d(r) = r - 34. Let h be d(0). Let u be f(h). Solve u = -5*g - 8 - 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xffnfxkfnnknkfffnfnn. Give prob of picking 2 x.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 16*j - 657 = -47*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1387478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -112251?\nAnswer: -112242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 139. Let y(b) = -7*b + 49. Let m be y(6). Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 37125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 11*n = 4*m - 25, 15 = 2*m + n. Let a = 4 + -4. Let y = a + 4. Solve -3*p - y*x = -2*x - m, 4*p + 9 = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 289, 5, -2 in decreasing order.\nAnswer: 289, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 42 = -15. Solve g*f + 2*v = 3*v - 9, -4*f - 4*v - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -92. Suppose 5*l + 18 = -2*v, 0 = 2*v + 2*v - 2*l - 12. Solve -4*j + 2*y = -q, 0 = 4*j - y + v - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-243)\/405 - (-96)\/10. Suppose -1615 = -o*z - 85. What are the prime factors of z?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 12995, -5, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 25*l + 74. Let v be x(4). Let p = -167 + v. Sort p, 1, -3.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -197.41?\nAnswer: -197.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-383 + 351 - 799)*(-3 + 2 + 0)*(4*x**2 - 1 + 1) to the form w*x**2 + j + s*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10285 + -4c?\nAnswer: 10237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6142.9 + -6143. Which is the second smallest value? (a) 0 (b) -2.8 (c) -3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2870*m + 10869. Calculate y(-4).\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, h: 5, y: 3}. What is prob of sequence yhbb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3895878 divided by -35742?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39556 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 39*s - 45 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/3)\/l)\/l)\/l*l)\/(l**2\/l)*(l*l*l**1\/l)\/l**(-1) assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50589577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 100290 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**2 - 12663884*i + 12663884*i.\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008867894 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(-35)) - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-26\/5)\/s**(-5\/3))\/(s**(3\/7)\/(s**(-24)\/s)) assuming s is positive.\nAnswer: s**(-3041\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Is 356\/w*7\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5363*m - 4080*m - 55862*m - 34147*m - 142176*m.\nAnswer: -241628*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 4*w + 160 = 0, 415*x + 3*w = 419*x - 62 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 884394 and 379026?\nAnswer: 2653182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 3*j + 1 - 4*j**2 + 2*j**2 + 4*j**2. Let s be f(4). Let t(n) = -14*n + 5. Let i(u) = -u**2 - 6*u - 2. Let a(m) = i(m) - t(m). Determine a(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26759.4 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 54 - 19. Suppose 0 = 3*f - 4*f - 5*s + 15, 0 = 4*s - 12. Suppose -l*c + 2*c + 50 = f. Solve 3*a - 1 = -4*u, -4*a = -u + 34 - c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55b + 4?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 691708.\nAnswer: 691709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28 and -6553287018920.\nAnswer: -6553287018948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(833) + (sqrt(833)*1 - sqrt(833)) + -2*sqrt(833) + 1 + -4)**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/48 and 73\/210?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*40.9\nAnswer: -12.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16701 - -16700. Which is the closest to 11? (a) h (b) 3 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 72118*d**2 - 92 - 72046*d**2.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(0 + 5*sqrt(272)*-4) + 0)**2.\nAnswer: -1600*sqrt(17) + 2720004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-175) + (-3)\/(-15)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1286*f - 1430*f + 6048 = 0 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 32*z + 80. Determine t(34).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*t - 127*t - 133*t)*(-3*t**2 + 2*t**2 + 3*t**2) - 3 + 3 + t**3 - 11*t**3 - 8*t + 8*t.\nAnswer: -130*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 41*d**6\/30 - 9*d**2\/2 + 5*d. Differentiate f(j) with respect to j.\nAnswer: 164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5 - 6 + 15 + 9*g - 3. What is the remainder when 34 is divided by l(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -579 + 586. Solve -y*f = -4*f - 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.5, -1\/42307?\nAnswer: -1\/42307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**22)\/l**(-46)*l**(-5\/3)*l**(-6)*l assuming l is positive.\nAnswer: l**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/438 and 41\/6643?\nAnswer: 39858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 4*l = -3*z - 1930, -2*l = -4*z + 1518. Suppose -60*u + 58*u = -z. What are the prime factors of u?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832052 is divided by 17703.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 110001100110111001001?\nAnswer: 110001100110111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*w + 77 - 69, 5*y - 3*w - 15 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oennniieojiengo. What is prob of sequence gn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.8040535.\nAnswer: 0.3608107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -14 - (10 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x - 5. Let v be (1285\/(-74))\/5 + (-103)\/(-8446)*287. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + s + 7, -5*u + 0*u = -s. Let a(n) = -n**3 + n**2 - n - 1. Let m(q) = -q**2 - 5*q - 1. Let f(g) = u*a(g) + m(g). Let w = -875 - -878. Give f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035497801 rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3263*f - 12667?\nAnswer: -3263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 216907585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27276\/1361 or 21?\nAnswer: 27276\/1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 + 66?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + (-169)\/4. Let c = 42 + z. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -452*v + 81*v**6 + 498*v**2 - 992*v**2 + 495*v**2 wrt v.\nAnswer: 9720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = -10*y + 14*y. Let u = y + -135. Let a = u + 71. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 26522\/(-6). Let z = 4436 - p. Let c = -108\/5 - -117\/5. Calculate the common denominator of c and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5594282 * -2\nAnswer: 11188564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 115, 53179, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 0) + -10 + 24 + -33 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 205538107 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:00 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 67*b**3 + 2 - 3*b + b + 0*b - 35*b**3 to the form q*b + x*b**3 + r*b**2 + h and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*m**3 - 38*m**3 + 73*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + l - 227 = -230, 0 = -l - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.24 * -26.59.\nAnswer: -112.7416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15612, -62542, -140758, -250260, -391048, -563122?\n\"Answer: -15643*r**2 - r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-45)\/20) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*b - 1392 - 1011 = 2481 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 7*q**4\/24 - 51*q**2. Let s(h) = -2*h**2. Calculate j(s(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 455871 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 5*i + 2*i - 2*i. Let j(p) = p. Let a(x) = 2*x. Let k(m) = a(m) + j(m). Calculate k(r(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let f(o) = -1 - 28*o**2 + 58*o**2 + 1 + 55*o**2. Calculate f(z(u)).\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2318*g**2 + 2*g - 4*g + 2*g - 1688*g**2.\nAnswer: 630*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 38 = 5*p, 493 = -15*d + 16*d - 8*p - 62*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**3*z**3 + 112*q**3*z**2 + 22*q**2*z**2 + 2*z**3 wrt q.\nAnswer: -36*z**3 + 672*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -183 + 4*x + 388 + 186 in the form k*x + c and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1945 divided by -22620\nAnswer: 389\/4524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -529*q**2. Let a(x) = 708239*x**2. Calculate c(a(g)).\nAnswer: -265347712513009*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-98)\/40)\/(44\/(-495)). Let h = -217\/8 + j. Let r = 44\/177 - -16639\/708. What is the common denominator of h and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 1\/6*y**3 - 1\/12*y**4 + 0 + y**2 + 2*y. Factor j(p).\nAnswer: -(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 8. Let s = -30 + 28. Let x(t) = -t**2 + 4*t + 5. Let y be x(s). Calculate v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68800000 to the nearest 1000000.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyggvvvvavv. Give prob of picking 1 v and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4879 + 0.1879. Let q = -32\/235 - 3\/47. What is the biggest value in l, 0.05, q?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 9:49 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4846 + -3377. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 7. Let k(p) = -1. Let n(f) = -c(f) + 6*k(f). Let r(b) = -10*b - 4. What is 14*n(a) + 4*r(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = z - 47916, 12*k - 11*k - 2*z - 47901 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211 in 2\/13, -0.1, -1, 0.1, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180 or -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (332 + 174 - 188 + 474)*(-2*s**4 - 2*s**4 + 2*s**4)*(-1 - 9 + 1) to the form b*s + f*s**3 + y*s**4 + n + h*s**2 and give y.\nAnswer: 14256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 15*d - 3140 = 0. Let w = d + 318. What is the closest to 0 in 1, w, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8891387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2703 * 2.\nAnswer: -5406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 (base 11) in base 14?\nAnswer: 7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 - v**3\/6 - 14*v**2. Let q(y) = 7*y + 9. Let p(o) = -o - 1. Let j(h) = -6*p(h) - q(h). Determine -j(i) + 2*s(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**4 - k**3 - 6*k**2 + k. Let x(h) = 166*h**4 - 5*h**3 - 30*h**2 - 2*h - 99. Let g(t) = -x(t) + 5*y(t). Differentiate g(m) wrt m.\nAnswer: -624*m**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2*28\/(-49)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -98, -134, -164, -188, -206?\n\"Answer: 3*i**2 - 51*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 37 - 15*t**2 + 2*t**4 + 0*t**4 to q*t + c*t**2 + k + j*t**4 + f*t**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -10.74?\nAnswer: 11.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/(b*b*b\/b**(1\/9)))\/(b*b**(2\/7))**35 assuming b is positive.\nAnswer: b**(-629\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -52*w - 131 - 593 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6 - 6. Solve -6*s = -t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from goyoooooooo?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -105. Let h be 6\/(-18)*2\/(-8)*2. What is the nearest to -1 in -0.4, 0.1, h, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3441.\nAnswer: 1\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u = -4*l + 674, -3*l + 70*u = 69*u - 115. Let i(y) = -y**3 + 4*y**2 + 4*y + 7. What is the least common multiple of i(5) and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352786.\nAnswer: 2, 7, 113, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**(-4\/19) assuming f is positive.\nAnswer: f**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1062.97 and 157.\nAnswer: 1219.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15505823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g*g*g\/(g\/g**11))\/(g**(-8\/3)*g**15) assuming g is positive.\nAnswer: g**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4832\/15 - 322. Which is the third smallest value? (a) 0.5 (b) -10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 g when four letters picked without replacement from {i: 2, g: 16}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28985)\/3162 + 17\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 57 = 0. Let y be (-2)\/(0 - (-4)\/102). Let g = 4 - y. What is the remainder when g is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (5 - 10) - (-22 + 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26286278207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1495 divided by 19323.\nAnswer: -1495\/19323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 n, and 1 a when four letters picked without replacement from naaangnganannaagaag?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1169*u + 40. Let v(w) = 3508*w - 113. Determine 17*t(q) + 6*v(q).\nAnswer: 1175*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -13824 (c) 3 (d) 20 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 9*b**2 + 2. Suppose -4*i - 28 = 3*i. Calculate the lowest common multiple of ((-20)\/6)\/(i\/12) and v(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 8 = 23*c, 0 = 2*s + 5*c - 70. What is the highest common divisor of 1775 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134115581 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 132*l + 521. Determine s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57363*x**4 - 45960 wrt x?\nAnswer: -229452*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggkhhhgk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-1)\/(-2))*(13 - 23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12092, 12054, 11990, 11900, 11784, 11642?\n\"Answer: -13*q**2 + q + 12104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuuysiiiv. What is prob of sequence iyiv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*w**3 + 97*r**3*w**2 - 15*r**3 + r**2*w**3 - 102*r**2*w - 8*w**3 wrt r?\nAnswer: 18*w**3 + 582*w**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 90818?\nAnswer: -90818.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34313 + -34313.66769. Let t = h - -0.664. What is t rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 + 2*g**2 + 26*g - 40\/3.\nAnswer: -2*(g - 5)*(g + 4)*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*i = 151*i - 176. Solve 14*f - 12 = i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6) + -6 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88776198 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 + 210080*l + 210075 = 0. Calculate l.\nAnswer: -42015, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose -4*a - t*l + 61 + 35 = 0, a + 5*l - 42 = 0. Suppose 0 = 4*w - a + 2. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 8000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 - 170*g**2 - 176*g**2 + 3*g - 1 + 34*g**2 in the form m*g + v*g**2 + c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17850)\/(-10710))\/((-5)\/(-138))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + -29. Let j = 53.46 + l. Let f = -0.14 - j. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 4. Suppose m = 14 - c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9914099?\nAnswer: 13, 727, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 15?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/30 - 8*h**5\/45 - h**4\/6 + 2*h**2 - 37. Determine c so that i(c) = 0.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/42 + 62*i**3\/21 - 9*i**2 + 65*i. Suppose d(j) = 0. Calculate j.\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 479079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.8, -17, -4, 84?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43b (base 14) to base 2.\nAnswer: 1101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*y - 2*f - 24, -4*f = 0. Let u(v) = 6*v**2 + 3 + 0*v**2 - 4*v**2 + 6*v + 3*v. Is u(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:19 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from lheubee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9892*x**2. Let u(o) = -1413*o**2. Calculate 3*n(j) - 20*u(j).\nAnswer: -1416*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.6 - 66.9. Is o greater than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 25*a + 54. Give j(-9).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - -46)\/((-1)\/3). Let v = o - -1429\/9. Which is the nearest to -3? (a) 5 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798363999 to the power of 1\/3, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 27*a**4 + 151*a**3 - 281*a**2 + 222*a - 64.\nAnswer: -(a - 2)*(a - 1)**3*(a + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8938 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 - -174. What is the third derivative of 107*y**2 + v*y + 6*y - 29*y + 96*y**3 wrt y?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-3\/5)\/f*f)*f**(-1\/29))\/(f*f**(1\/5)*f*f**(-14)) assuming f is positive.\nAnswer: f**(1793\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92610 and 2520?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkkkkkbkbkkkbkkkb. Give prob of sequence kkb.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -6, -3*b = 3*d + 2*b + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450 divided by -108?\nAnswer: -575\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -2 - -2) + (-224)\/35. Put 0, -158, -2\/7, g in ascending order.\nAnswer: -158, g, -2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + (-6310)\/(-20) + 9. Suppose 2*p + 3*p - k = 5*c, 5 = -c. What is the greatest common factor of 500 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**8)\/(u\/u**(-2\/11))*(u**(-2\/3)\/u)**(2\/25)*(u**(-1\/4)\/u)**(-3\/17)*(u*u*u**(-5\/4)*u*u)\/u*u*u*u**(2\/9) assuming u is positive.\nAnswer: u**(-69379\/16830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*x + 14, -x = 4*x - 3*a + 18. Let m be 312\/91 + 2\/14*x. Let o(f) = f + m*f - 6*f + f. Let p(b) = -51*b. What is p(o(c))?\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - d + 2)*(d + d + 0*d) - 2*d**2 - d**2 + d**2 + 3*d**2 - d**2 + 0*d**2)*(12*d - 9*d + 11*d).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:40 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23139905\/72898 - -3\/72898. Is n >= 317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 19*p**2 - 19*p - 18. Let b be g(-18). Suppose -8*v + 351 - 79 = b. Calculate the highest common factor of 374 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5 + 9*v**3 + 6*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 13*u**6\/60 + u**5\/60 + 5*u**4\/24 + u**2. Let l be j(5). Round l to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -528 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132420738?\nAnswer: 2, 3, 2719, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17)\/(85\/2) + (-1187)\/(-5) is divided by 128?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, -0.5, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a minute in seconds?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135234 + 8*f - 135234.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1563 - -2236. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 + 8*g**3.\nAnswer: -2*g**3*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -0.95. Let g = x - 0.06. Let q = g - 0.59. What is the second biggest value in -2\/3, q, -0.11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04685 times 6.5\nAnswer: -0.304525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 17200*i + 114*i**2 - 34426*i + 17185*i in the form s + t*i + q*i**2 and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106385370 a multiple of 2051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {d: 2, k: 4, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 60 = x. Let u(p) be the first derivative of 1\/5*p**4 + 2\/25*p**5 + 0*p**2 + 0*p + 2\/15*p**x + 4. Solve u(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p - 3*h = 22, -3*p - 4*h - 46 = 0. Let j be (-4)\/p + (-5159)\/110. Let k = j - -45. Which is the third smallest value? (a) k (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 65356344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pgxlg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 1. Let m = -13 - -6. Let y(o) = -o - 9. Let g be y(m). Let v(r) = 6*r**2 - 7. What is g*v(n) - 14*w(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 18. Calculate the remainder when 12*(1 + 0) - h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67496 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: Expand (2*a - 1 - 2 + 1)*(-7720 + 7720 + 137*a**2).\nAnswer: 274*a**3 - 274*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 minus -5?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 5*w**2 + 8*w - 4. Let k(p) = 3*p - 3. Let i be k(2). Suppose -v + i = -3. Calculate the smallest common multiple of v and f(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 10*t + 14. Let m be v(-11). Let q be 8 - 1 - (-8 - -11). Which is the second biggest value? (a) -5 (b) m (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - 79 - (-1 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - (-64)\/10. Suppose -y = -x*y + 10. Suppose 0*h - 61 = -4*m - 5*h, 0 = -y*m - 4*h + 32. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156161403 - -63\nAnswer: -156161340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11489 + -11425. Calculate the remainder when 3579 is divided by r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3548586845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5369 is divided by 299.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708014?\nAnswer: 2, 354007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**3*s*t + 121*m**3 - 3*m**2*s - 75*m**2*t + 77*m*s*t + 13 wrt t.\nAnswer: -3*m**3*s - 75*m**2 + 77*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjhn when four letters picked without replacement from {u: 3, j: 5, q: 1, h: 2, n: 6}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545819854 + 1550128367453\/2840. Let v be 4\/(-6) - (-1127)\/1704. Let f = v - q. Find the common denominator of 109\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*d - 29, 2*d - 18 = -2*v - 24. Suppose -2*r = 8, 5*y - 9*y = -v*r - 164. Calculate the highest common factor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 + 6*i + 4. Suppose -4*d - 12 = -2*h, 3*d + 0 = -2*h - 2. Calculate the remainder when c(6) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17520250 and 554?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 20 + 58 = 0. Let u = 15 + s. What is the greatest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7275852 (base 10) to base 6\nAnswer: 415540300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -295*r**5 - 132*r**2 - 3*r + 9. Let b(u) = 591*u**5 + 263*u**2 + 5*u - 17. Let w(l) = -3*b(l) - 5*q(l). Find the third derivative of w(k) wrt k.\nAnswer: -17880*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**3)\/q**(-2\/3)*q**(-2\/7)\/q*q**(-3) assuming q is positive.\nAnswer: q**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3022124052 + -1?\nAnswer: -3022124053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 21*s + 4*s.\nAnswer: 41*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2293*z. Let p(i) = -90*i**2. What is p(f(t))?\nAnswer: -473206410*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 5031\/(-4). Let h = -67609442\/54063 + 73\/6007. Let o = h + v. Calculate the common denominator of 73\/4 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**8\/840 - l**6\/45 - 7*l**3\/3 + 2. Let i(b) be the third derivative of g(b). Find the third derivative of i(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 300 + 129 = 0. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/46 and 12 + -17 - ((-895)\/230 + 2 + -1).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.0335\nAnswer: 0.01005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 17\/10979900 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 3*r**2 - 3*r**2. Let y(f) = 1701*f**2 - 856*f**2 - 847*f**2. Determine n(y(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(475)*-4*-3)**2 + 4).\nAnswer: -960*sqrt(19) + 273632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 1. Let z(b) = 3*b**3 - 5*b**2 - 5. Determine 5*r(f) + z(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -136. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 682425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-86)\/(3526\/(-1927)))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*x - 541*x - 30192 = 432*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1317 and 29\/320553.\nAnswer: 140722767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 9201*i**2 + 7059465*i + 7050267 = 0.\nAnswer: -1533, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*r**5\/4 + 2735*r**4\/4 + 1927*r**3\/2 - 5339*r**2 - 8658*r - 144 = 0.\nAnswer: -2, -2\/119, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 64*i**2 - 347*i - 5. What is f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = 3*d, -5*k + 4*k = -4*d + 19. Suppose -85 - 1 = -l + 3*x, -2*x - 304 = -d*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 34\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:38 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.874 times -2?\nAnswer: 15.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*n = 1316*n - 2*h - 113, 4*n - 72 = 3*h for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2 - 1366620*p + 233456278050 = 0.\nAnswer: 341655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l - 135*l = 26757 - 42665 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (26 + -10 + -7 + (-5 - 3) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*j*q**2*u**2 - 6*c*j*q**2 + 2*c*q**2*u + c*q*u + 2*c*q - j*q*u**2 + 7*j*q - j*u wrt q.\nAnswer: 2*c*j*u**2 - 12*c*j + 4*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**4 - 11*w**2 + 7*w**2 + 0*w**2 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11031 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2839283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6333048?\nAnswer: 2, 3, 87959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 15*w + 17*w = -4*y + 14, -2*y = -684*w - 1197 + 3945 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54 - 68*x - 9 - 273 - 9*x**2 + 13*x**2.\nAnswer: 4*(x - 21)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75273, -157018, -238763, -320508, -402253, -483998?\n\"Answer: -81745*w + 6472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 3. Let a(o) = o + 2. Let x(p) = 3*a(p) - 2*c(p). Let d(m) = 58*m**2 + 51*m**2 - 110*m**2. Give x(d(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2882745 and 3525.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 36626.97 millennia?\nAnswer: 36626970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 7*y**2 + 18*y + 3. Let u(x) = 2*x**3 - 9*x**2 - 17*x - 4. Let t(q) = 3*i(q) + 4*u(q). Give t(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454 + -453.8. Suppose 0 = 10*n + 29 + 21. Which is the nearest to -0.01? (a) n (b) -1\/2 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 - 0.07. Let q = -0.28 - j. Which is the nearest to 0? (a) q (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1959991 = -b, -b - 280461 = -5*d - 2240462. Suppose -6*g + 2*g = -u - b, -u - g - 1960001 = 0. Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 51*m - 6838. Let p be s(135). Solve 0 = 37*t - p*t + 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**2 + 160*i - 5256. Does 24 divide r(46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -9 + 10 - (-1 - 2). Let i(c) = 19*c**3 + 7*c**2 + 2*c. What are the prime factors of i(p)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*2 + (-3*sqrt(136) + sqrt(136) + sqrt(136))\/sqrt(8))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/(-90) - 3 - (-6)\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190.893 + -191. Which is the closest to 0? (a) -4 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u + 2. Let a(x) = -4*x + 1. Let s(p) = 8*a(p) - 3*j(p). Determine s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1003 = -11*b - 299. Let u(r) = r**3 - r**2 - 2. Let v be u(3). Suppose -5*g + d + v + b = 0, 3*d = 5*g - 90. 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: What is the fifth smallest value in 2, 1\/46, 29, -2.7, 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 20*n - 6. Let j(y) = 7*y - 2. Calculate -11*j(z) + 4*p(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -49358*n - 542950. Calculate t(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23529355 is divided by 7843118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 - 2182 = -513*c. Suppose -4*k = 6 + 6. Let s be 6\/9 + (-70)\/k. Solve c*w = s - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96412 >= -96391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 19. Let a be -4 - ((-6)\/y + -1). Let d(t) = t**3 + 7*t - 1. Let m(c) be the third derivative of c**4\/24 - 4*c**2. Determine a*m(v) + d(v).\nAnswer: v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -100737?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 136, 15, -3, 4, 5, 59.\nAnswer: -5, -3, 4, 5, 15, 59, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-131)\/(-262))\/((-26)\/3*((-5)\/(-10))\/(-1))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yytb when four letters picked without replacement from yybccyynyyyntn?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412.000351 - 412. Round w to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -24. Let d = x - -37. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + r**2 - r + 13. Let n(z) = 3*z + 2*z**2 - 31 - 8*z**2 + 8*z**2 - 4. Let a be n(-5). Give g(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1872448.052 to the nearest 10000.\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -27, 4, -24 in descending order.\nAnswer: 4, -13, -24, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 340, 1296, 2930, 5242, 8232, 11900, 16246?\n\"Answer: 339*h**2 - 61*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -7e?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12679, 25361, 38043, 50725?\n\"Answer: 12682*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41779 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + 33\/7. Suppose -p + 5 = i*y - 10, 2*p - 12 = -4*y. Let 1\/2*j**3 - 7\/4*j**2 - 1\/2*j + p + 7\/4*j**4 = 0. What is j?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006233713 to six decimal places.\nAnswer: -0.006234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) 0.1 (d) 10\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/21 + -1 - 1. Suppose -x = i + 2*i + 3, -5*x - 15 = 3*i. Which is the closest to i? (a) -0.4 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-3)*21\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.032208, -2, 0.3, -80, -3, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3597*r + 75531. What is x(21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -10)\/5*(1\/(-8))\/(1445\/680).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31489994 divided by 622\nAnswer: -50627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 702*g**4*w - 2905*g**2*w**3 - 274174*w**3 - 73*w**2 with respect to g.\nAnswer: 2808*g**3*w - 5810*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/m*m)\/m)**(5\/6)*(m\/m**(-12))\/m**(1\/7) assuming m is positive.\nAnswer: m**(200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-42)\/(-1540))\/(2\/10). Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54898708, -109797418, -164696128, -219594838?\nAnswer: -274493548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6755173 and -0.4.\nAnswer: -2702069.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23743\/7 or -3392?\nAnswer: -3392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = -5*f - 27, f = 5*k - 26. Solve k*z + 2*m - 29 = 0, 11 = -z + 2*z + 3*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/((-13)\/(1170\/27)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*q + 17, q + 3 = -t - 2. Let j(f) = -f**2 + 7*f - 6. Let c be j(5). Let u be (-1 + 7 + -1)*-1. Sort t, u, c.\nAnswer: u, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*k - 9 = 0, -5*j + 0*k - k - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69590.65g in nanograms?\nAnswer: 69590650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 865, 12, 15, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 + 2*t**2 + 0*t - 2*t + t**2 - 4*t**2. Let k = -3 + 3. Let u = k + -3. Determine n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Let z(t) = r*t + 3*t - 4*t. Suppose 0 = -p + 2*f - 7, 2*p + 32*f + 2 = 30*f. Let i(a) = -3*a. Give p*i(x) - 2*z(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + 5*p - 3. Let f be a(3). Sort -3, f, -2 in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.933 + 12.433. Which is the closest to -1\/4? (a) -4 (b) f (c) 1335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31416, -31514, -31686, -31938, -32276?\n\"Answer: -z**3 - 31*z**2 + 2*z - 31386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovp when three letters picked without replacement from {p: 1, b: 1, v: 4, o: 9}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let g be 0\/2 + 2\/(-23). Let v = 89\/204 - -601\/1428. Which is the nearest to 0.2? (a) v (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-60) + 0 + 1. Let d = x + -7\/10. Let p = -7 - -4. What is the smallest value in p, d, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2878386 and 43.\nAnswer: 123770598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 - f + 13. Suppose -24 - 15 = -3*m. Let w be k(m). Suppose w = 2*h + 10 - 16. Solve 8 + 4 = h*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13707700 rounded to the nearest 100000?\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6000*p**5\/13 - 48332*p**4\/13 + 2642*p**3\/13 + 112*p**2\/13 = 0.\nAnswer: -7\/250, 0, 1\/12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 6. Let k(b) = -3*b**2 - 7. Suppose 5*n = 16 + 9. Suppose -4*l + 3*q = -3*l - 7, -n*l = -5*q + 5. What is l*u(d) - 4*k(d)?\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Let p be d(0). Let m be p\/((-1)\/(-34)*(1 + -3)). Suppose 18*v = m*v + 9. Solve 5*w = 2*a + v, -w - a + 3 = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -159 (base 13) to base 10\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 22 + -1 - -3. Suppose -3*t - t - z = 0. Which is smaller: t or -22\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1599, 5 in decreasing order.\nAnswer: 5, 0, -2, -1599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1469*w**2. Let q(x) = -5240*x. What is z(q(j))?\nAnswer: -40335214400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s + 4. Let h(b) be the second derivative of 3*b**3\/2 + 3*b**2\/2 + b. Let f(t) = -4*h(t) + 3*v(t). Let y(m) = -m. What is f(y(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.2. Let h = 8666 + -34665\/4. Sort w, h, 2\/9.\nAnswer: h, w, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(432)\/(sqrt(18)\/sqrt(2)))\/(sqrt(484)*3 - sqrt(400)*2).\nAnswer: 12*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 = 2*p, -p - 3*v = -5*p + 12. Let u be p\/((-6)\/(-20) + 0). What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**3 - 92*n**3 + 271*n**3 + 133*n**3 + 285*n**3.\nAnswer: 552*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and -47\/915478.\nAnswer: 1830956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371637076?\nAnswer: 2, 92909269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007966 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113222204 (base 5) in base 6?\nAnswer: 234535435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 1\/42*b**7 + 1 - 3\/10*b**5 - 3*b**2 + 1\/15*b**6 - 19\/6*b**3 - 6*b - 5\/3*b**4. Factor m(c).\nAnswer: (c - 3)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-35)*t\/(t**23\/t))**(-23) assuming t is positive.\nAnswer: t**1288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 1\/2*a**2 - 6 + a**3 - 7*a - 1\/12*a**4. What is j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112120 - 121221?\nAnswer: -2011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -12. Let l(o) = -o**3 - 17*o**2 + 11*o - 131. Let r be l(-18). Put 7, 3, h, r in ascending order.\nAnswer: r, 3, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-8 - (47 - 27))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + 34. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -13, 5, 2.1, 0.02, 0.2 in decreasing order.\nAnswer: 5, 4, 2.1, 1, 0.2, 0.02, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a = -9. Suppose 4*i - z = -3*z + 316, 5*i = -a*z + 395. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 - -194. Does 38 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 14 (c) -5 (d) -10 (e) 20\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = l - 6, -2*x - 4*l - 20 = 0. Let a = -1.3 + -1.7. Is a greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 2}. What is prob of sequence sk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from rfffffffffff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006263 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -64*q + 67*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12. What is the nearest to 1 in 1\/2, 4, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7099, -7084, -7065, -7042, -7015?\n\"Answer: 2*r**2 + 9*r - 7110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004263 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4638f - 3?\nAnswer: 4638c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1884 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:05 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 2, -5*d = -2*s - 39. Let z = s + 22. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208884861.\nAnswer: 3, 23209429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431*t + 102*t + 601 + 601 - 1202 to m + w*t and give w.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etvtenjtntvtevvvt. Give prob of picking 2 t.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z. Let b(c) = -39*c**2 + 17. Let o(q) = 13*q**2 - 6. Let l(y) = -6*b(y) - 17*o(y). Determine l(h(k)).\nAnswer: 637*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-20))\/i**(-1\/22) assuming i is positive.\nAnswer: i**(-417\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43301 and 31747.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2*z. Let x be q(1). Suppose -49*k + 86 = -6*k. Which is the second smallest value? (a) -33 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/9)\/((-120)\/(-90)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343487006.\nAnswer: 2, 17, 31, 325889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 = -0*l. Let z = -10 - -7. Which is the closest to -1\/2? (a) 4\/7 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*y + 23*y + 305*y)*(3*y - y - 4*y) + (0 - y + 0)*(4*y - y - 7*y) as g + q*y + l*y**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -1182, -3093, -5772, -9201, -13362, -18237?\n\"Answer: 3*y**3 - 411*y**2 + 87*y + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -32203034?\nAnswer: 32203023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 7. Let v be w(9). Suppose -j = -v - 30. Is j a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-six fifths of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -533 + 371. What is the lowest common multiple of 30 and (-2)\/8 - p\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -156321026?\nAnswer: 156321026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 108.53. Let i = -0.14 + c. Round i to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -21047.\nAnswer: -2104.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49079\/60 + 818. Let p(g) be the third derivative of 0*g - 1\/2*g**3 + 5\/24*g**4 - q*g**5 - 9*g**2 + 0. Give p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.19, 9\/2, -2\/5, 0, 0.3, -1?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i - 3. Let b(m) = -m**3 + m**2 - 2*m - 3. Let h be b(0). Let u(k) = 3*k**2 + k - 7. Let v(d) = h*u(d) + 7*j(d). What is a in v(a) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 11835879.\nAnswer: -35507637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 3:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12 and 46\/3573.\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8657.07 - -8657. What is the third biggest value in -0.4, z, -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:08 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -145, 2, 7, 6, 0 in descending order.\nAnswer: 7, 6, 2, 0, -5, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)*v**(-2)*(v**(-2)\/v)**(2\/81) assuming v is positive.\nAnswer: v**(-65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -154. What is the third derivative of 326 - 25*q**2 - 326 - 10*q**3 - 5*q**3 - 2*q**b wrt q?\nAnswer: -48*q - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - -3. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b = 0. Suppose 5*q - 10 = -b. Factor 1\/4*z - 1\/4*z**3 + 1\/4 - 1\/4*z**q.\nAnswer: -(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 291 + 3*y**3 + 0*y - 585 - y + 282 in the form x*y**3 + j*y + c*y**2 + h and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11502179 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -132, -2\/13, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -9*a**5\/20 + a**4\/12 - 12*a**2 - 6. Let c(n) = -3*n + 5*n + 2*n. Determine q(c(f)).\nAnswer: -432*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 4*s**2 - 3*s - 9*s + 12*s. Let x(f) = 9*f**2 - 13*f. Let c(r) = r**2 - 2*r - 2. Let i be c(-2). Calculate i*x(y) - 13*u(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*b = 5*m + 55*b + 61*b + 180, -8*b = 3*m + 240 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 163\/7148, -1 in increasing order.\nAnswer: -1, 163\/7148, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 12*t - 7. Let b(n) = 2*n**2 + 7*n - 3. Give 5*b(z) - 3*k(z).\nAnswer: -2*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 288 = 6*w. Let o be -1187*2\/90 - -2. Let s = 142\/9 + o. Find the common denominator of s and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.94 - -0.06. Let n = -1065520.7999854 - -1065518.8. Let l = k + n. Round l to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133292 is divided by 33322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**3 - 1042*q**2 + 417*q - 368. Calculate r(208).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7991 - -7987. Let q = -5 + 10. Which is the closest to -7? (a) q (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 + 0.14. Which is the fourth biggest value? (a) x (b) 0.5 (c) 5 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -45*c + 178. Let q be x(4). What is the closest to 1 in 31, -4, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 370303232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5616962222?\nAnswer: 2, 233, 1373, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 11*c + 4. Suppose 0 = -6*d + 20*d + 154. Determine x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.62 + 1.38. Which is the third biggest value? (a) -1\/3 (b) q (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-108)\/(-4212)*-1508?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m**2 + 5*m + 2. Let z(a) = -33*a**2 - 17*a - 7. Suppose -7*y + 54 = 103. Let j(x) = y*l(x) - 2*z(x). Let j(p) = 0. Calculate p.\nAnswer: -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2 = 4*w - 36, 4*y - 314 = w - 4*w - 284 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7461221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 918 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-16))\/(1*-1). Let p be (2 - q)\/((-8)\/68). Let a = -24 - p. Let k(i) = i**3 + 7*i**2 - i - 8. Determine k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:24 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 11:44 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 31. Let r(n) = 9*n**c - 1 + n - 3 + 6. Calculate the lowest common multiple of 22 and r(-1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + 24000238.\nAnswer: 24000236.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 270\/13, 2\/5, 0.1, 14\/9, -0.1 in descending order.\nAnswer: 270\/13, 14\/9, 2\/5, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.072 or -0.9?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -181.3 and -225428924.\nAnswer: -225429105.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 15*f**2 - f + 1. Let z be (-12 - -15)\/(2\/(-10)). Let s be k(z). Let q = s - -72. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 6*t + 50. Calculate g(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5103648096.\nAnswer: 2, 3, 53163001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 148. Let d be v(0). Let l be d\/10 + (-4)\/(-20). Let a be (10\/l)\/(4\/6). Solve -o = -4 + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 3, l: 2, x: 1, y: 1, s: 4}. Give prob of sequence yll.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -69 (b) 2\/19 (c) 0.9 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151310*n**3 - 151305*n**3 - 37*n**2 + 148*n**2 to i + f*n + c*n**3 + h*n**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f, 4*c + 71 = f + 75 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 6*s + 5. Let v be y(-3). Let u be v\/8*(1 + -1). Suppose -5*x + 2 + 3 = u. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkxxzxfkzfszzk. What is prob of picking 1 x, 1 s, and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**2 - 9110*n + 165507.\nAnswer: (n - 1283)*(7*n - 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, v: 2, q: 5, r: 1}. What is prob of sequence rq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - h = -101, -32 = v - 0*h - 2*h. Let u = v + 60. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*x = -21276, 14*s = 22*s - 4*x - 85104. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443652469613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(23\/4)\/z*z*z*z)**(-2\/27))**(-42) assuming z is positive.\nAnswer: z**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 36 + 685. Let q = 56 - b. Let x(f) = -5*f - 2. Let g(y) = -y. What is q*g(a) + x(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4*(-11377936)\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 15}. Give prob of picking 2 k and 1 y.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 322.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:42 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -30, -45, -98, -207, -390?\n\"Answer: -3*k**3 + 8*k**2 + 2*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/1845 + 276802\/23985. Is 12 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h + 47 + 4139*h**2 - 15*h - 47.\nAnswer: 4139*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1069805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - x + 25 - 55 + 4*x**2 - 2*x**3 to u + w*x + k*x**2 + d*x**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - -124. List the prime factors of w.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:02 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 0 (b) 5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 53*a**2 + 19*a + 39. Let b(r) = 18*r**2 + 7*r + 13. Let f(n) = 11*b(n) - 4*x(n). Differentiate f(u) with respect to u.\nAnswer: -28*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 6*g + 15\/2*g**2 + 0 + 15\/2*g**3 + 2*g**4. Let i(b) = 23*b**2 + 46*b + 14. Let h(r) = 3*i(r) - 2*t(r). Factor h(u).\nAnswer: 3*(u + 2)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6768553.97001565 + -6768555. Let a = g + 1.03. Round a to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 28899 + -35227879\/1219. Let s = -64637\/18285 + m. Find the common denominator of s and (-2)\/(-1092)*218 + 7\/(-49).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 13*q**4 + 3*q**2 + 3*q**3 + 3*q**4 - 3*q**5 - q**4 - 18*q**2 = 0?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4\/2 + 1395*x**3\/2 - 175785*x**2\/2 - 177175*x\/2 = 0.\nAnswer: -373, -1, 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12\/11, -4\/17, 1, 2\/7?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:25 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19878701.\nAnswer: 19878701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 4*c - 12 + 28, 2*c = -2*c + 36 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -4 - -2) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262\/11277 + 1448287\/29816388. What is the common denominator of f and 71\/16?\nAnswer: 10576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.99 + -6.17. Let o = u - 55. Let l = o - -73. Round l to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61403, -61326, -61249?\nAnswer: -61172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*n + 16. Suppose 0 = 4*y + 44 - 212. Calculate the remainder when (-4)\/14 - (-936)\/y is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -92. Suppose -4*k + 5*x - x + 144 = 0, 140 = 4*k - s*x. Differentiate -18*h**2 + k*h**2 - 26 + 31*h**2 - 6 wrt h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 36 = 3*j + 4*x, -5*j - 33 = -2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654*l**2 + 2322 - 2663*l**2 - 2333.\nAnswer: -2009*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3*u**5 + n**3*u + 274*n**3 - n*u - n - 17624378*u**5 - 111 wrt u.\nAnswer: 40*n**3*u**3 - 352487560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3550 + -3525.47. Let x = 0.47 + z. Let s = x - 25.72. What is s rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1)*-2*16\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -209, -262, -271, -224, -109, 86, 373?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-176)\/560 + (-3)\/(-5). Let b = -6 + 3. What is the third smallest value in c, b, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -623.19 take away 644540342?\nAnswer: -644540965.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(4050) + -5*(-2 + sqrt(4050))))**2 + -2 + sqrt(50) + sqrt(50) + (sqrt(50) - sqrt(200)\/sqrt(4))**2 + -1 + -3.\nAnswer: -129590*sqrt(2) + 2336394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2932\/10262 - 2*74002\/(-14)?\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2089*p + 22. Let x(l) = -1010*l + 10. Give 6*f(i) - 13*x(i).\nAnswer: 596*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrgdradaarrrr?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n + 21. Let i(b) = b + 1. Let g(f) = d(f) - 14*i(f). Let r(p) = 3*p - 3. What is 4*g(c) + 9*r(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -55. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-11 - 1) + 9 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzzcvvvcvv. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/69*(-2 + (-64)\/10)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(4)*1))\/((sqrt(384) - sqrt(24))\/sqrt(2)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = 5*q, -3*a = 5*q - 2*q - 12. Differentiate 9*z + 5 - 12*z + 24*z**q + 3*z wrt z.\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (112 - 106) + 4*-3. Let b(h) = 3*h**3 - 6*h**2 - 2*h + 2. Let t(u) = -2*u**3 + 6*u**2 + u - 2. Let z(q) = -3*b(q) - 4*t(q). Give z(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -188. Suppose -9*v - 109 - 287 = 0. Let j = v - a. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87192 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + h + 568 = 0, 0*d - 145 = -d + h. Calculate the remainder when d is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23502 + -150?\nAnswer: -24052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -5, -0.4, -0.5 in decreasing order.\nAnswer: 4\/3, -0.4, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3356, -3222, -2852, -2126, -924?\n\"Answer: 20*k**3 - 2*k**2 - 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011101 (base 2) in base 10?\nAnswer: -925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 9*k**2 + k + 1. What is the remainder when 38 is divided by d(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*(-45)\/(-10 - -7). Sort -6, 4, g.\nAnswer: -6, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 75, 166, 293?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*z - 219*z - 7*z**2 - 11*z**2 + z**2 + 432*z - 7*z**2.\nAnswer: -24*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 0)*(-s**3 - s + 0*s**3 - s).\nAnswer: -6*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 6*i + 2*i)*(-6*i + 2*i + 35*i) + 0*i**2 - 6*i**2 + 8*i**2.\nAnswer: -277*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.28 rounded to 1 dp?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6971 = 5*p, 867 = -5*q + 4*p + 9583. Does 109 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 2389138?\nAnswer: -30\/1194569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - -5. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6420199171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*y + 29, -9*y = -10*y + 5. Calculate the smallest common multiple of i and 109.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 19. Let r be t(8). Suppose r*p - 31 = 409. Let b be 1\/(-1) - (-12)\/1. Calculate the highest common factor of p and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*f + 1. Suppose 2*j + 5*d = -135, f*d + 0 = -6. Let b = j - -98. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*13\/(-260)*(-1)\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o + 73. Calculate w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28542 - 27186. Calculate the greatest common factor of w and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/112 - -7\/16. Sort g, 2, -2\/9, 17.\nAnswer: -2\/9, g, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -683, 3, -5 in descending order.\nAnswer: 4, 3, -5, -683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433121 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -55, 60, 283, 650?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 25*z**2 - z - 12. Let q(d) = 74*d**2 - 3*d - 32. Let w(h) = -8*j(h) + 3*q(h). Let c(g) = -43*g**2 + 2*g. Calculate 4*c(i) + 7*w(i).\nAnswer: -18*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202122001121 - -202?\nAnswer: -202122000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, -2*m + 9442094 = -4*z - 2557894. What is m rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - m**2 - 20*m - 17. Suppose 0 = 5*l + 68 - 38. Is j(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s + 5*m, 2*s = 3*m - 0*m + 4. Suppose -s*w - 32 = -4*c, 0 + 4 = w. What is the greatest common divisor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186.8889 + 3.\nAnswer: 189.8889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29491.6311 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*p + 6, 11*p - 8*p = 0. What is the tens digit of v\/27 + (-15780)\/(-54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14197\/2)\/((-13)\/(-26)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c + 6. Let m(z) = -32 + 4 - 14*z + 11. What is -17*h(r) - 6*m(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 70 = 5*z - 2*z, -3*p + 90 = -3*z. Suppose s + m + 0*m - 8 = 0, -4*s + p = m. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415568*s = -414374*s + 85968 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j + 1675. List the prime factors of j.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332332 + -3123?\nAnswer: 1323203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*42\/63\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*j + 753*j - 3328 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = m + 59, -5*m = 3*h + 318. Let k be (-6 + (-371)\/m)*-2. What is the closest to k in -4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - 1)*(-2*g + 2*g + g) - 2*g**2 - 2*g**2 + 2*g**2 - g**2 - g**2 + 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -222.\nAnswer: 5\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(4 - (-11)\/(-2)). Let s = -25 + o. Let f(a) = -a**3 - 10*a**2 + 8*a + 9. What are the prime factors of f(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15336672 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1167058 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187190997*d**3*q**3 - 2*d**3*q + d*q + 652295*d - q**3 - 27*q wrt d.\nAnswer: -1123145982*d*q**3 - 12*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12837 = 1429*r - 11724 + 3126 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.9 + -1001.3. Let i = o - -1135. Round i to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 25. Let u be t(-4). Solve 0*n - 3*o = 4*n - 11, u = 3*n + 5*o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63281.98km in micrometers?\nAnswer: 63281980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -815, -1178, -1485, -1718, -1859?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6389, 6397, 6405, 6413, 6421?\n\"Answer: 8*w + 6381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9371*x**3 + 10086*x**3 - 67*x + 30*x + 37*x + (-4*x**3 + 4*x**3 - 2*x**3)*(-3 + 1 + 0).\nAnswer: 19461*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 17*y - 1224. Suppose 3*x + y = -5*x. Let q(z) = -4*z - 7. Determine q(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 0. Sort 5, -4, q in increasing order.\nAnswer: q, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46357 and 11.43?\nAnswer: -529860.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/924 and 23\/6.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -1\/6*y**3 + 4*y + 1\/30*y**6 + 0 + 0*y**4 + 0*y**2 + 0*y**5. Find the second derivative of k(m) wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 29. Calculate n(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from ccclluclccluou.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -657, -649, -639?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**8\/336 + g**4\/3 - 5*g**3\/6 + 8*g. Let n(c) be the second derivative of l(c). Differentiate n(f) with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:35 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n - 15. What is the tens digit of d(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 60 = 3*d. Let b(q) = 4*q**2 + 9*q - 30. Let x be b(d). Let r = x - 139. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 586*b**3*l + 5*b**3 - 12*b**2*l + 9*b**2 - 11300*b + 57*l wrt b?\nAnswer: 3516*b*l + 30*b - 24*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f - 299. Let q be d(-27). Suppose q*t - 124 = 126. Solve 5*n - 1 - 24 = -2*i, i = 2*n - t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + (4 - (-1 + 5)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*-4 - -1*sqrt(77)*3)\/((1*((sqrt(77)*-2 - sqrt(77)) + sqrt(77)))\/(-1*sqrt(1584) - sqrt(1584))).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, t: 3, k: 2, x: 3}. What is prob of sequence kyx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.37 + -4.37. Let l(b) = 2*b - 8. Let a be l(4). Sort v, a, 3 in decreasing order.\nAnswer: v, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125278053 to the power of 1\/2, to the nearest integer?\nAnswer: 11193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*p - 10 = -115*p. Solve 0 = 4*h - p*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2 + (-1 - (2 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1152\/40)\/(-9))\/(6\/15). Let q(c) = 6 + 7 + c - 2. Calculate q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 + 348. What is the remainder when x is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 7)*(1 - 11 - 4)*((0 + 0 - b)*(3 + 2 - 3) + 7*b + 12*b + 4*b).\nAnswer: 588*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 - 5*p**3\/3 + p**2 + 6*p - 9. Give f(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 0.1. Let b = 0 + m. Let h = -1 + b. Sort 2, h, 3 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 0*y)*(-4 + 2 + 4)*(2 - 2 + 2 + (-6 - 7 - 8)*(4 + 6 + 3))*(-7 + 3 + 3).\nAnswer: 542*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 9. Let w be q(7). Suppose -2*r + 8 = -5*r - x, w*x = -3*r - 13. Which is smaller: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9, k: 6, p: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 10*g + 8 = 5*s, 6*g = -s + 4*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:28 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 11*r**6\/120 - 13*r**5\/60 - 15*r**2. What is the third derivative of x(t) wrt t?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.721 + -17.221. Let n = 5.98 - 6. Which is the nearest to 2\/3? (a) z (b) n (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (4 - 4)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12438 - 1?\nAnswer: -12440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38489299 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: Calculate prob of picking 1 n and 2 e when three letters picked without replacement from {v: 7, e: 2, n: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20296 - 1406*w + 40600 - 20303 - 1234*w.\nAnswer: -2640*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 17*p = -570. Let n be (p\/95)\/(3\/135). Is n less than or equal to 113\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 0*n**2 + n - 1 + 8\/3*n**3 + 7\/5*n**5 + 16\/3*n**4. Let g(o) be the first derivative of z(o). Solve g(j) = 0 for j.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30072073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 211925556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 0*c - 5*c + 1 + 7*c + 5*c**2. What is the units digit of r(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -91. Suppose -2*y + 42 = 4*g, -4*g + 8 - w = -3*y. Calculate the greatest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 35 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84773309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 31*c - 2\/3*c**3 + 83\/12*c**4 + 0 + 3\/2*c**2. Find the second derivative of z(r) wrt r.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001173015785 to seven dps.\nAnswer: -0.001173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21707 (base 10) in base 15?\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygldl. What is prob of sequence gd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, m: 5}. What is prob of sequence bb?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 474*l = 470*l + 22, -3*y = -l + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*((-6)\/16)\/((-33)\/22). Find the third derivative of -45*t**2 - 34*t**3 - 2*t**4 + t + 89*t**2 - 13*t**x - 51*t**2 wrt t.\nAnswer: -48*t - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.92453 minutes?\nAnswer: 0.2320755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2\/(-1 - 0). Let u(i) be the third derivative of i**6\/120 - i**5\/15 + i**4\/6 + 17*i**2 - 2*i. What is u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -779*m**2\/2 + 366*m + 891. Differentiate d(v) with respect to v.\nAnswer: -779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-3)*12\/14. Suppose -66 = -z*f - 2*m, 4*f - m - 36 = 3*m. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21003.159 months?\nAnswer: 1.75026325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 290*d**7\/7 - d**3\/3 + 26*d**2 - 129. What is the third derivative of w(s) wrt s?\nAnswer: 34800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812178972 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3351, 4245, 5163, 6105?\n\"Answer: 12*k**2 + 858*k + 2481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-23946)\/(-42))\/((-11)\/(-77))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052382774 to 6 decimal places.\nAnswer: 0.000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22882 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 68, -1, -2, -3, -7 in decreasing order.\nAnswer: 68, 5, 2, -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s. Let m(c) be the third derivative of -14*c**2 + 1\/30*c**5 + 0 + 0*c + 0*c**3 + 0*c**4. Give m(i(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - (2 - -2)) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515 - -786. Suppose -g = -5*b + 79. Calculate the highest common divisor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*p + 96. Suppose 8*x + 57 = 9*x. Let s = p + x. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(768) + sqrt(768) + sqrt(768)*2))\/(-1*sqrt(484)*-1).\nAnswer: -64*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5))\/o)**(-22)\/(o**4*o*o**(1\/4)*o*o) assuming o is positive.\nAnswer: o**(-321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 646, 654, 676, 718, 786, 886, 1024, 1206?\n\"Answer: g**3 + g**2 - 2*g + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from svsvmsssmmvisvvvvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 4, d: 1, x: 5, v: 1, l: 1}. Give prob of sequence vlj.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -6, 5 in ascending order.\nAnswer: -6, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(((-30)\/(-12))\/5).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35257636 to the power of 1\/2, to the nearest integer?\nAnswer: 5938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-3)*(2 - 8\/40). Solve f*g = -4*c + 9, -g = -5*c - 3*g + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 - -185. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 38. Suppose -15*b + 3649 - 19 = 0. What is the greatest common divisor of b and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 62. Determine l(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/9174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, t: 3, j: 13}. What is prob of picking 2 j?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose 5 = 5*b + a, 4*b = 6*a - a + d. Calculate the remainder when 1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-133))\/((-1)\/(70\/((-180)\/(-18)))).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8233566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 7*x**3 + 20*x**3 - 6*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15690 and 139\/3247830.\nAnswer: 3247830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100100010 (base 2) in base 8?\nAnswer: -5442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1477*m - 1288*m - 2457 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:40 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 13*c**2 - 13*c + 17. Calculate g(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02033822073 rounded to 5 dps?\nAnswer: -0.02034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*v + 5 - 4 - 1 + 4*v**2 - 1913*v + 1111*v.\nAnswer: 4*v**2 + 189*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61b8 - -101ea?\nAnswer: 163b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14 and -103\/23302.\nAnswer: 163114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-669570)\/(-44))\/((-6)\/80). Round l to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from jpjjjjjmjdjmmjdjm?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 2:57 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 - (114\/(-30) - -4). Let i(w) be the first derivative of -j*w**4 - 4 + 1\/25*w**5 + 0*w**2 + 0*w - 2\/15*w**3. Find d, given that i(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/2*96\/3192?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2597*g**6*q + 365*g**3*q**3 + g**2*q + 4534309*q**3 wrt g.\nAnswer: -311640*g**3*q + 2190*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -20, 0.02, 62\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 2979 = 7558. Suppose n + 3*n - 85 = o, 0 = -3*n - o + 62. Suppose n = 2*z - r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 2773733*i\/3 + 5547470\/3.\nAnswer: -(i - 2)*(i + 2773735)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-7) + (111\/(-21) - -5). Let j be ((-3)\/(-2))\/(3\/4). Suppose -l*y + 2*w = -641, 0 = -3*y + j*w + w + 645. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (1 - -3)*61. Suppose 5*y - i = 2*h, 3*y + 0*y + 4*h - 121 = 0. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 6*l - 4*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g**2 + 2*g**2 - 3*g**2)*(-63*g**3 - 85 + 85) + (3 - 3 + 2*g)*(g**4 + 0*g + 0*g).\nAnswer: 569*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, i: 2, b: 3, y: 6, w: 1}. Give prob of sequence yb.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 299\/5 + -60. Let q = -1 + 5. Suppose -29 = -7*g + 5*n, n = -5*g - 2*n + 1. What is the second biggest value in g, q, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5535106 + -0.3\nAnswer: 5535105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -276. Suppose -a*s + 6705 = 8*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {w: 2, h: 6, b: 4, q: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u - 17. Let y be m(0). Let i be (y - -2)*(-19 + 6). What is i rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 219265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + (1 + (sqrt(176) - (-3 + sqrt(176))))**2.\nAnswer: 4*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(1008) + -1*sqrt(1008)) + 3*(sqrt(63)\/(-2*sqrt(9)))**2).\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37964937 divided by 12654979.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/165 and -28\/3964227?\nAnswer: 218032485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**3 - 3*m**2 - 6*m + 10. Calculate the smallest common multiple of a(2) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 159050 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107511, -107525, -107553, -107601, -107675, -107781, -107925, -108113?\nAnswer: -108351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 19*p**2\/3 + 64*p\/3 - 20.\nAnswer: (p - 15)*(p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1156 and 5\/1156?\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_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: Divide 195 by 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.00574072 rounded to two dps?\nAnswer: -23.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -58*o + 54*o + 17, 3*o - 2*t + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.5. Let f = g - 0.5. Let l = f - -0.9. Is -0.1 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:40 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*p - 2, 4*x + 5*p + 8 - 44 = 0. Calculate the remainder when (26\/(-1))\/(1 - 2) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 30*r + 2. What is f(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1703 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1691\/231 - -1\/77. Let t = -19 + 11. Let x = t + q. What is the smallest value in x, 1, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 21*r + 3. Let w be x(-5). Let p = -10 - 2. What is the common denominator of -55\/4 and w\/(-40) - (-3)\/p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3207.662 hours in microseconds?\nAnswer: 11547583200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiioipiiviiypoikiko. What is prob of picking 2 y and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300 a factor of 626179509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -52) + (-19 - -9) + 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 19735*v - 26 + 45 - 7.\nAnswer: 19735*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -0*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -110155?\nAnswer: 110158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(33)\/sqrt(3)) + -2*sqrt(147) - (sqrt(21)\/(sqrt(28)\/sqrt(4)) + 4 + sqrt(27))) + -5)**2.\nAnswer: 306*sqrt(3) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 4*a + 5*a)*(40*a + 11*a**3 - 40*a).\nAnswer: -22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {j: 8, y: 4, w: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let z = 265 - 270. Let u be 336\/616 + z\/(-11). Calculate the highest common divisor of p and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*(-45)\/150. What is the nearest to 0 in 1\/7, -10, -0.3, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oootootoooooootoot. What is prob of picking 3 t?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in 1, -3, 1\/4, -2.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 523c + -90?\nAnswer: 517c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115620 = 2*k - 7*k - 55*k. Is 1928 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48b9 (base 15) in base 2?\nAnswer: -11110001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1003829 and 1126.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 20*m + 12. Suppose -5 = -2*p - 5*s, -3*p = 2*s - 11 + 20. Let n(q) be the first derivative of 4*q**2 + 5*q - 1. What is p*b(c) + 12*n(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 20, 54, 102, 164, 240?\n\"Answer: 7*l**2 - l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 - -0.32. Let c = -48 + 27. Let h = 21.4 + c. Sort w, 2, h in decreasing order.\nAnswer: 2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -16*s**2. Let z(n) = -21 - 11 + 13 + 13*n**2 + 17 + 20*n**2. What is z(u(w))?\nAnswer: 8448*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -3. Suppose 3*b - w = -2*b. Let x be 53 + -64 - (-173)\/16. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 - 7\/2*t**2 - 1\/6*t**3 - 2*t. What is the units digit of n(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (-1*sqrt(88))\/sqrt(8) - (sqrt(55) + -2*sqrt(1375))\/sqrt(5)).\nAnswer: 4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 27*v**2 - 24*v + 10. Let m(s) = 2*s**2 - 2*s. Let n(g) = 11*m(g) - p(g). Let w(a) = -11*a**2 + 4*a - 21. Calculate 7*n(u) - 3*w(u).\nAnswer: -2*u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 2344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -551*g + 161?\nAnswer: -551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -361 > -1.7663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g + 0*g - 2*g**4 + 4*g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173533308 and 922.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6938 divided by -3469.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:47 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999.2516 microseconds to milliseconds.\nAnswer: 0.9992516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 less than -31903822408?\nAnswer: -31903822388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*a - 5*a**3 + a**3 + 44*a + a**4 - 13 - 81*a as y*a**2 + o*a**3 + p*a + r + u*a**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4 + 1\/2. Suppose 0 = 2*a + 1 - j. Suppose -f = 5*c - 35, 3*c + 5 = -0*f + a*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2503\nAnswer: 5\/2503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18*t**3 - t. Let u be c(1). Let h be (1 + -4)*63\/7. Let z = u - h. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 31. Suppose i*z + 472 = -2*y, 5*z + y = 3*z - 472. Is (1\/2)\/(4\/z)*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007132 rounded to 5 decimal places?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 36*p**2 - 3539*p + 17726. Give a(5).\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 3 = -11*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13302\/(-3695) - (-2)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19.1 + 19. Let o = -0.3793 - 0.0207. Put -0.5, o, 5, b in ascending order.\nAnswer: -0.5, o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g. Let l be h(2). Let c be ((-1)\/l - 2)\/6. Let z = -0.9 - -1. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 5\/4, 4 in descending order.\nAnswer: 84, 4, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9213, 10038, 11415, 13344?\nAnswer: 15825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -25, 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 843*x + 25. Let b = 331 + -330. Is 62 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36960\/882)\/44)\/((-12)\/14)*9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t - 2. Let a be 1*(t - 3)*4. Let x = a - -7. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.686 and 25.\nAnswer: 292.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14248 (base 13) in base 10?\nAnswer: -37747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x - 35 - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 14. Let n(i) = -5*i - 14*i + 4*i - 20 + o*i. Let k be n(-6). Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 + 320\/50)*(-160)\/(-66) and 5\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -15. Let j(g) = -2*g**2 + 3*g**2 - c*g**2. Let r(m) = 2*m. Calculate r(j(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/406 and -23\/1618.\nAnswer: 328454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7095782553?\nAnswer: 3, 29, 81560719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1001677000 to the nearest one million.\nAnswer: 1002000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921 + 72620448.68?\nAnswer: 72624369.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -7*j**5\/60 + 110*j**3\/3 + 674*j**2. Let z(l) = -2*l**2. Give z(n(a)).\nAnswer: -98*a**4 + 6160*a**2 - 96800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 8*s**3 + 8*s**3 - 28*s**3 + 20*s + 7*s**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 15, -3, 18 in descending order.\nAnswer: 18, 15, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let m be a(3). Let g be (-1 + (-3)\/(-2))\/((-3)\/(-3108)). Suppose m*c = c + g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.46 to two dps.\nAnswer: -17.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (1\/6)\/((-4)\/18)*-44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Suppose v*l = -3, -4*s + 2*l = -2*l - 52. Solve a + s = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*x - 1 = 0, -3*m + 2*x + 5 = 4*x. Calculate the least common multiple of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16986 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1095 and -15.\nAnswer: 16.6425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*f + 1272 + 159 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 36 = 5*b - b, 0 = -b - c + 6. Solve 4*k - 23 = -5*j, -4*j + b = -3*k + k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 182096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 135.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6852158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 45. What is the remainder when 55 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204162 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 25 = -3*t, 3*r - 5*t - 64 + 95 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5518 or 8.9661?\nAnswer: 5518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279 less than 9281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c - 9. Let f be b(7). Suppose 104 = 2*g - 2*o, -g + f*o + 119 = g. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25905*k - 25898*k - 203 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -927 + 1592. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6677 = -2*y, 480*y - 5*a = 481*y - 3352. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 32015612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 48378?\nAnswer: -48382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28221*f + 28261*f - 760 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75556 is divided by 9442.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4095257128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 13067.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-9))\/(-11) + 0\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/3 + 2*p**4\/3.\nAnswer: 2*p**4*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/(-15) + (-4)\/(-10). Let p(z) = z. Let m(d) = 3*d + 11. Let w(o) = -o - 3. Let v(c) = 6*m(c) + 22*w(c). What is g*p(r) + 4*v(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -15. What is the highest common factor of x and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(175) + sqrt(175) - sqrt(175)) + 1 + (1 + sqrt(14)\/sqrt(2) - (-1 + sqrt(700))**2).\nAnswer: -699 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7536 or -7535?\nAnswer: -7535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536024 and 2583?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3258)\/504 - 16\/56) + 6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 480\/1020*(-17)\/(-2). Solve 20*m - p*m = 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17262)\/(-30) + 18\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 i when three letters picked without replacement from mpmdiibkkpkikkbd?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*(-103)\/34608*36\/(-15).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663994 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 1:26 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, -24, 288, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/111708 and -67\/36.\nAnswer: 111708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6*j = -64. Put 1, -5, j, -1 in decreasing order.\nAnswer: j, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/30*5*3. Suppose -3*t - 606 = -5*d, o*d + 5*t = -0*t + 470. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, -3, 0.2, -2\/161, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1\/2, -0.213, -1\/4, 0.3, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 493297 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2673 - -11453. Is f less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q + 187 - 317 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -26*x - 3. Let w be m(-6). Suppose 0 = 4*a - a - w. Let h be ((-34)\/4)\/((-3)\/12). Calculate the greatest common factor of a and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 10. Let u be b(25). Let d be ((-3)\/6)\/(-3*(-2)\/u). Suppose -d*s = -7*s + 446. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-24))\/(1\/(-3)). Sort -0.9, -3, s, -0.1 in decreasing order.\nAnswer: s, -0.1, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/18 - 4\/9. Which is the closest to -5? (a) 4 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 + 12*y**4 - 96*y**3 + 112*y**2 = 0. Calculate y.\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p\/p**(-8)*(p\/p**(-1\/3))**(-9\/8))\/(((p\/p**(-1\/3))\/p*p)**(2\/27))**(-8\/15) assuming p is positive.\nAnswer: p**(11063\/2430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f**12*f))\/f)*f)\/f*f)\/((f*f**(1\/3)\/f)\/f)*f**(-13)*f**31 assuming f is positive.\nAnswer: f**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3422 and 236.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -440*b**3 - 2*b**2 - 142*b + 82402846.\nAnswer: -1320*b**2 - 4*b - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:54 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.25 != -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 6, -1\/2, 2\/9, -0.07, -0.04113?\nAnswer: -0.04113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose -4*c + 27 - 2 = 3*p, m = -2*c - p + 11. Let l be (c\/(-12))\/(2\/(-18)). Solve -3*h - 3*u = -3, l = -3*h + 3*u - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*v - 3*v = 14, -2*v = 2. Suppose 2*j - 657 = -s*p, 3*p - 662 = -2*j - p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 3*w + w. Let x(l) = -1 - 2 + 2 + 1 + 19*l. Calculate x(g(y)).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 2. Let a be q(3). Suppose 0 = g - 0*g + a. Let w = g + 14. What is the lowest common multiple of w and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*q = -598*q + m - 8, 0 = q - 3*m + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = g - 479, 3*g + 1 = 2*g. Let s be (-72)\/(-10)*c\/18. Let f = s - -143. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228643 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44796 = -18*v - 44886 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1732 + -54088?\nAnswer: -52356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 112 = 2*z, -z = 2*l - 7 - 45. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {o: 3, n: 10, c: 3, p: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -36. Put x, -1, -106 in descending order.\nAnswer: x, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-1164)\/(-679)*21\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341034 - -341040. Suppose 2*t + q - 8 = 0, -2*t + 5*t - 5*q - 25 = 0. Solve 3*a - d*k - 11 = -t*k, 5*k = -2*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 3*s**2 + 8*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, 23, 117, 259, 455?\n\"Answer: j**3 + 15*j**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c649 (base 16) to base 2.\nAnswer: 101100011001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1 + 14 - (-3 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*8\/(-72) + 6\/(-3). Suppose p = -0*p. Let u = p - 2. Which is the second smallest value? (a) s (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*z - 3*f + 8 = 476*z, -2*z - 6*f + 22 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 27, 45, 81, 141, 231, 357?\n\"Answer: l**3 - l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160031056*r**2*z**3 + 45*r**2*z**2 + 5*r**2*z + 18*r*z**2 + 163 wrt z.\nAnswer: 960186336*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**4\/4 + g**3\/3 + g**2\/2 - g - 16. Let o be i(1). Which is the third biggest value? (a) o (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166767.\nAnswer: 3, 55589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16274\/(-618) + (-6)\/((-18)\/(-17)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = -3*u. Let y(x) = x**3 + 4*x**2 - 3*x - 5. Let a be y(u). What is the greatest common divisor of a and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -31*l**3 - 2*l**2 - l. Let q be k(-1). Calculate the common denominator of (-159)\/q + -3 + -2 and 49\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(1\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*n + 116 - 466 = 0, -3*i + 276 = -3*n. What is the least common multiple of 15 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 3\/(12\/(-40)). Suppose -b = -f + 5 + 1, -4*f + b = -n. Solve 5*c - 20 = -7*h + 2*h, -5*c - f*h = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - 0.2. Let s = -2.997 - m. Round s to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 131.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1, -83.\nAnswer: -83, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -415 + 580. Calculate the highest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -322, -473, -608, -721, -806, -857, -868?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:20 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/4*(5 + 5). Suppose -2*u = 3*u - f. Let z = u + -9. Solve 8 - z = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-220)\/132*2\/(4\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -238776*n**2 - 3*n + 3. Let o be y(-7). What is o rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6003801, 6003812, 6003823, 6003834, 6003845?\n\"Answer: 11*u + 6003790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2))\/((-1)\/(-20)). Suppose 24 = 8*r - 8. What is the remainder when j\/(-6)*(-54)\/45 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28\/15 + -23\/12. Find the common denominator of 895\/990 - 4\/22 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**9\/37800 + m**8\/8400 - m**6\/900 - m**5\/300 + m**4\/6 - 3*m. Let d(k) be the third derivative of g(k). Factor d(w).\nAnswer: 2*(w - 1)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = b, -5*s + 14 = 5*b - 3*s. Let h be 3\/((-18)\/b) - -1. Let 2\/3*d**4 - 4\/3*d**2 - 4\/3*d**3 + h*d**5 + 2\/3*d + 2\/3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 206 in increasing order.\nAnswer: -2, 1, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*h + j, 44*h - 45*h = -3*j + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - p**3 + 15*p**2 + 14 + 3*p**4 - 14 + p to the form z*p**3 + q + f*p + c*p**4 + t*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*s**2 - 3738880*s - 534125.\nAnswer: -5*(s + 106825)*(7*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/506 + (-35)\/((-36960)\/(-64))*-3.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1383*p**2 + 2*p - 4 + 2 + 1381*p**2 + 6*p**3 + p. Give m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 2. Let w be p(3). Suppose 3 = 4*r - w. Suppose b + r = 2*b. Solve 3*s = -b - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -77, -2, 1, 2.\nAnswer: -77, -4, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, -10, -32, -1 in decreasing order.\nAnswer: -1, -10, -32, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 23 (b) 2 (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1485095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-2))\/((-3047)\/(-554)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9 - 7 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122550)\/6840 + (-1)\/12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 52 = -4*u, -3*u - 45 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.014 - -0.0196. What is i rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/45*42*(-3)\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 59*i - 66. Calculate the remainder when a(35) is divided by 78.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - n - 2. Calculate the remainder when h(3) is divided by 440\/36 + (-2)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-178)\/(-979))\/((-12)\/484)*-3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 88 - u + 3*u - 100. Let m be t(10). Solve m = z + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1 - (-2 - (2 + 8))) + -1006 + 959\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*t + 5*r, -5*t - 88 + 84 = -4*r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*q - 33 = 0, -12 = -4*o - 3*q + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 4, b: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**6\/6 - 10*l**5 + l**4\/2 - 1163*l**3 + 2724. What is the third derivative of v(m) wrt m?\nAnswer: 60*m**2 - 1200*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10133131 (base 5) to base 9.\nAnswer: 136533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4836\/443 less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -22, -83, -2\/11?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 19*b**2 + 256*b + 75. Give l(-13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21456667*0.25.\nAnswer: -5364166.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**2 + 758*m - 2726. Determine i(91).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 4317*y**2\/4 - 1165320*y + 1164241.\nAnswer: -(y - 2158)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:17 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)\/(h\/(h*h**10))*h**(-10)*h**(-3\/7) assuming h is positive.\nAnswer: h**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -578804\/5 + 116180. Let w = -4159\/10 + o. What is the common denominator of 83\/14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/9)*h**(-3\/4))\/(h*h*h\/(h*h**(-3))*(h*h\/h**2*h)\/h))\/(h**(-1\/2)*h**(1\/12))**(14\/11) assuming h is positive.\nAnswer: h**(-1583\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 43*r**2 - 4*r**3 + 3*r - 5*r - 2 - 43*r**2. Let u(o) = o + 1. Let m be 6\/(-18)*1*15. Let k(c) = c**2 + 6*c + 4. Let x be k(m). Give x*h(a) - 2*u(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 0. Let x = l + -9. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 40 = -0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2275 divided by 1.\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 8 - 31 = -3*l, 5*v = -5*l + 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/2 + (-1846)\/156. Which is the closest to 0.1? (a) -2\/5 (b) j (c) 13 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/6 (b) 0 (c) -38\/809 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6, -34*j + 8 = -39*j - l. Put j, -27, 5, 19 in descending order.\nAnswer: 19, 5, j, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78903 divided by 3.\nAnswer: -26301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2270 - -2290. Solve 13*y = 14*y + g - 7, 0 = -2*y - 5*g + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3 + 20*g**2 + 559*g - 1190 = 0.\nAnswer: -17, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -15. Let a(h) be the third derivative of h**6\/120 + 7*h**5\/60 - h**4\/12 + 2*h**3\/3 + 2*h**2. Does 6 divide a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13265412\/120 + (21\/(-10) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7)*t**4*t**(-1\/5)\/(t**(5\/4)*t))**(-11))**(-1) assuming t is positive.\nAnswer: t**(-979\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 60*q - i = -297125, -5*q = -2*i - 1485646. Suppose -40628 = 3*w - q. What is w rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(304) + (0 + (-1 + sqrt(304) - sqrt(304)) - sqrt(304)) + -3)*2 + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 94.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -666*b**4 + 381*b**3 + 2*b + 618344?\nAnswer: -7992*b**2 + 2286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from whgwhwwwww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562*a**2 - 1565*a**2 - 1564*a**2 + 4694*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Let y = c - 3. Suppose -6*f + y*f + 8 = 0. Calculate the remainder when 2 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2600*z - 22321 = 894*z - 92267 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hhbiibbbh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 10*w + 7. Let x = -30 + 15. Let b(p) = 3*p**2 + 39*p - 27. Let s(t) = x*d(t) - 4*b(t). Solve s(o) = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 10*a\/9 - 28\/9.\nAnswer: 2*(a - 7)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.4 + 2.4. Let w = 17 + t. Which is the biggest value? (a) w (b) -2\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2\/11 + 9877196*v\/11 - 3292398\/11.\nAnswer: -2*(v - 1646199)*(3*v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1336 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 7*d + 1. Let q be p(-7). Let o be (15\/(-5))\/(6\/(-10)). Sort o, -9, q in ascending order.\nAnswer: -9, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 728683\/15 or 48579?\nAnswer: 48579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9104 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 19. Let g(u) = 2*u + 5. What is g(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4, s: 1, r: 2, p: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 570.12198 and 4.\nAnswer: 2280.48792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4479 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/(-4)*1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (285\/475)\/(1\/6220)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376 = 130*n + 1621 - 177 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(35))\/(sqrt(10)\/(sqrt(2) - sqrt(50))).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -59. Let u be 2\/w - 1 - (-289)\/(-34). Which is smaller: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 0.1 (c) 7\/12783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n + 2. Let m be i(4). Let b = 26 - m. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33313 and 6.\nAnswer: 199878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**(-11)\/(s\/(s*s**(1\/4)*s)*s*s**(-1\/3)*s*s)*((s*s**(1\/2))\/s*s*s**(1\/6))**(-1\/65) assuming s is positive.\nAnswer: s**(-1219\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 35*k + 50. Suppose -8*x = -2*u - 3*x + 26, 2*u - x = 26. Does 3 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65*b**2 + 0*b**2 + 6*b**2 - 10*b**2)*(-6*b**2 + b**2 + 3*b**2) as o + j*b**2 + a*b**3 + g*b + u*b**4 and give u.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -921*b**3 + 2*b**2 - 31*b - 554566 wrt b?\nAnswer: -2763*b**2 + 4*b - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.057679 + -0.358509. What is b rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30634055.\nAnswer: 5, 83, 97, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060611094 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2528*h**2 + 4199*h**2 - 1452*h**2 + 0.\nAnswer: 5275*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14229900*q + 14229900*q - 4*q**3 + 2*q**3 + 2*q**2 - 2*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 807359522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132681284.\nAnswer: 2, 107, 151, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*c - 13, -4*z - 3*c + 3 = 2. Let j be (-4 - -1)*z\/6. Let t = j + -4. Let f(p) = -p**2 - 3*p - 1. Give f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -653 - 231617?\nAnswer: -232472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 15*g - 3. Let s be p(13). Let m = s - 13. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 386*z - 343*z - 43. Let p be -2 + (-544)\/(-548) + 1. Are p and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**2 - 5. Let c(s) = -3*s**2 + 4*s + 3. Let v(u) = u**2 - u - 1. Let b(j) = -2*c(j) - 7*v(j). Let m = 747 - 742. Calculate m*b(h) + y(h).\nAnswer: 2*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -5*k + k + 3*o, 2*k - o - 152 = 0. Let i = k + -38. Calculate the remainder when -3 - (-5)\/(20\/612) is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o. Let k be p(-4). Let g be 250\/k + 4\/(-8). Suppose 0 = 3*b - 6, 2*b - 4*b = -3*w + g. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4 and ((81\/24)\/9)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 787645 and 1083?\nAnswer: 44895765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*l + 399 = 52*l + 15 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**2*u**2 + 138*q**2 + 21*q*u**4 wrt u.\nAnswer: -12*q**2*u + 84*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, -3, 0, -9\/4, 40 in descending order.\nAnswer: 40, 0, -0.4, -1, -9\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/15 - (-2)\/(-40)*120\/45. Sort -4\/3227, 1\/9, r in decreasing order.\nAnswer: 1\/9, -4\/3227, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = -3*a, 1 + 2 = 5*l + 4*a. Let p = 5 - l. Is -2*(-1)\/p*5 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 20. Suppose 2*j - 6 = 0, -j + 83 = -z*i - 60. Is 14 a factor of (151 - 1)*(-14)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a23 (base 12) in base 14?\nAnswer: 11911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 132 + 40\/3*m**2 - 1\/3*m**3 - 81*m = 0?\nAnswer: 3, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2510323040 - -4?\nAnswer: 2510323044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.339 + 0.061. Which is the third biggest value? (a) 3\/10 (b) w (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18288 = 919*z - 163*z + 387*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 558200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + (-17)\/((-136)\/192). Let h be v\/(-136) - (-480)\/34. Solve -5*q + 1 = -h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/(-10)*-6317*7\/56. Let n = -7275 + k. Let u = -41\/4 - n. Which is the biggest value? (a) 2 (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (5*2*sqrt(288))**2 + 0 + 5.\nAnswer: 28801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27966283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 (base 14) in base 4?\nAnswer: -20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/31*-5*(-2)\/20?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 58*w**2 + 507*w - 4414. Determine k(22).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:40 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5)\/(30\/(-1275)*-1). Solve -3*v + 2*k = d, v + k + 0 = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407027729.\nAnswer: 3, 17, 19, 53, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 763826*o**4 + 97235558892*o**3 + 4125575066980464*o**2 - 45391341713545152*o + 74279605262476032 = 0. What is o?\nAnswer: -127308, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79713*x**3 + 2*x**2 - 10*x + 6394131.\nAnswer: -239139*x**2 + 4*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.942 rounded to one decimal place?\nAnswer: -90.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3, -9, 2\/5, 135, 2\/7, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112152 - -24?\nAnswer: 112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 (base 13) in base 8?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 330*a - 330*a - 17*a**3 + 208*a**3.\nAnswer: 191*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101122 (base 4) in base 12?\nAnswer: 3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -16*g + 2. Calculate the lowest common multiple of 36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 792573464*a**3 + 495997854?\nAnswer: 2377720392*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1667838529 to the nearest one hundred thousand.\nAnswer: 1667800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2273*q + 208 - 1513 = -2318*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 2691, 9205, 21975, 43107?\nAnswer: 74707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.888 in -5, 0.1, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*s + 1349*s - 2405*s.\nAnswer: 228*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 5*l**2 - 11*l**3 - 3*l**3 - 22*l**2 + 12*l**3.\nAnswer: 2*l**3 - 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 6 + 5*l**2 - 2*l**3 + 0*l**3 + 0*l**3 + 7*l. Let z(i) = -2*i**3 + 3*i**2 + 5*i - 4. Let f(y) = -5*c(y) + 8*z(y). Does 7 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:52 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Let b(r) = r**3 - 5*r**2 - r. Let g be b(5). Let l = -8 - g. Sort -5, l, t.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(9747\/(-38))\/(-27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/14)\/((-29)\/((-3248)\/24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -0*k - 4*k + 5, 4*q = 2*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 9040464 + 4*r + 9040408.\nAnswer: 2*r - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2468 + 4148. What is the smallest common multiple of d and 12?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Suppose 4*w + 19 = -o*t + 69, 19 = 4*t - w. Let d be (-3)\/15 + 4\/20*0. Is t greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a - 127. Let q be b(-8). Let h be (-1)\/(6\/92)*q\/10. Solve 0 = n + 2*d + 3, 5*d - h = 4*n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -2*r**3\/39 - 2*r**2\/13 + 6*r\/13 + 26. Factor q(g).\nAnswer: -2*(g - 1)*(g + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8142 - -0.9142. What is the second biggest value in 3\/4, t, -68\/3, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074, 1095, 1116, 1137?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*r*w*x - 25*c*w*x**2 + c*x + 3*c + 2*r**2*w*x**2 - r**2*x - 2*r*w*x**2 + 6*r*x wrt x?\nAnswer: -50*c*w + 4*r**2*w - 4*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:29 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346811\/168 + -6187\/3. Calculate the common denominator of -49\/12 and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228010849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1104889826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 300. Suppose 0 = 4*k - 0*k - q. Suppose s - k = -0*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.227 + 0.162. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*s + 54*s - 222*s + 39*s to the form l*s + n and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(2736) + 3 + -4 + (1*(2 + sqrt(2736)) - (sqrt(2736) + -2 + sqrt(2736) - sqrt(2736))*-4))**2.\nAnswer: -216*sqrt(19) + 24633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/117 (b) -2 (c) -1 (d) -0.19 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 42. Let q(b) = b + 1. What is q(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1326385, -5305612, -11937679, -21222586, -33160333, -47750920, -64994347?\nAnswer: -84890614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422791 and 101109428?\nAnswer: 6931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -11. Calculate the remainder when 42 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*24\/(-180)*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 167535*l\/2 + 502623.\nAnswer: -(l - 6)*(l + 167541)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i + 7*i - 11*i**2 + (-1 + 2 - 3)*(1 - 1 - i**2))*(-6*i - 3*i + 4*i) as s*i**3 + m*i + b*i**2 + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*n + 1011*n = -560*n + 87*n - 40194 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0572 times -1210\nAnswer: 69.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/594 and -125\/2480412.\nAnswer: 22323708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2 + 6 - 7*x + 5*x - 33. Let t be r(-20). Determine y, given that -3*y + 11*y**3 - 3*y**4 + 12*y**2 + 7*y**3 + t*y**4 + 5*y = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t - 150*i + 15 = -47*t, 5*i = 3*t + 3*i + 3*i + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r*w*z**3 + 55*r*z**3 - 11*w*z**3 - 4*z**3 with respect to w.\nAnswer: -2*r*z**3 - 11*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**6\/36 + g**5\/30 + g**4\/12 - g**3\/9 - g**2\/12 + g\/6 + 20. Factor x(b).\nAnswer: -(b - 1)**3*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/(33\/594).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -39, 3 in increasing order.\nAnswer: -39, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 171 = -z - 164, 0 = 2*z - 2*r - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1*(-2 + sqrt(275)) - sqrt(275)) + (sqrt(275) - (2 + sqrt(275)))**2*1.\nAnswer: -5*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -7\/845030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 167537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 280254730.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/7 - 52092*m**3\/7 + 208414*m**2\/7 + 364680*m\/7 - 521000\/7 = 0. Calculate m.\nAnswer: -26050, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let m be c(0). Is m at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -141bb + -5?\nAnswer: -141c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -20*t**3 + 21*t**2 - 3. Let u(c) = 61*c**3 - 63*c**2 + 8. Let w(i) = -8*j(i) - 3*u(i). Find the third derivative of w(g) wrt g.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**3\/3 - x**2 - 5*x. Calculate h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2297661 by -1.\nAnswer: -2297661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b6 (base 15) in base 6?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 + n - 1. Let i be z(-2). Suppose -2*d = -h + 6, 0 = -3*d - 3*h + 6*h - 6. Sort d, i, -1 in decreasing order.\nAnswer: -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572456 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1455981772 and -1.\nAnswer: 1455981771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 5, w: 1, s: 3}. Give prob of sequence sws.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -7837.\nAnswer: -4\/7837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5199211 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395046622.\nAnswer: 2, 197523311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 - 370. Let h = -141.29 - z. Do h and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -18*w**2. Let z(a) = 23*a**2 - 63*a**2 + 34*a**2. What is z(v(l))?\nAnswer: -1944*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -53, -82, -113, -146, -181, -218?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 2*c - c + (2 - 1 - 3)*(-4 + 4 + 2*c) - 6*c + 8*c - c + (-c - 2 + 2)*(3 + 2 - 6) to j + g*c and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91 and 67.6?\nAnswer: 6151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -3 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w + 11*w + 68 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q\/q**(-6))\/(((q**(-11)\/q)\/q)\/q**(2\/9)) assuming q is positive.\nAnswer: q**(227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 1\/6*m**3 + 0*m**2 - 19*m + 0. Let a(n) = 38*n**2. Give a(p(l)).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.2 (b) -3 (c) -8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969.829 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (9 + -5 - 1) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, b: 2, a: 1}. Give prob of picking 1 m and 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -5. Is 1 - 55\/2*g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -5*l. Let z = -3 - l. Suppose 2*j - 28 = 4*o - z, 0 = 5*j + 3*o - 57. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1112 and 23531.\nAnswer: -26166472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide ((-1)\/(-2))\/(15\/7410)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(50\/300)\/(2\/18)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 21*q**2 - 21*q + 51. Let k(p) = 7*p**3 + 26*p**2 - 9*p - 6. Let a be k(-4). Let l(n) = -4*n**2 + 4*n - 10. Determine a*s(x) - 11*l(x).\nAnswer: 2*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:48 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose -r*m + 72 = -0*m. Let b(l) = -l**2 - 11*l - 4. Calculate the least common multiple of m and b(-8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727476 (base 12) in base 7?\nAnswer: 21160215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1405 + 2060. Suppose f + 2051 = 6*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 1232450 - 7*a**2 + 2056877*a - 2060017*a = 0 for a.\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2 = -2*y, -2*y + 8 = -30*r + 28*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9*1\/(-6)). Let o(z) = -z**3 - 4*z**2 - z. Let n be o(s). Solve -n*b + 11 = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 + -130. Suppose 2*n + 3 = 9. Suppose -w = n*k - 1004. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -644 - -1833. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -3.56?\nAnswer: -6.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + j + j)*(-j + 3*j - 4*j) - 2 + 2 + 2*j**2 - 2*j + 2*j - 2*j**2 + (3*j**2 - 2*j**2 + 0*j**2)*(0 + 1 + 0) + 2*j**2 + 2*j - 2*j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/25)\/((-84)\/30)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4 + -4 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 140 = -5*p, 5*p + 4*o - 213 = -83. Let k = p - 27. Solve 0 = -k*h + 2 + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*j - 10 = 0, -h + 8 = -2*h + 4*j. Let m = -88 + 220. Suppose -11*t + 0 + m = 0. Solve h = -u - 2*u + t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/12)\/((-1)\/3). Suppose 0 = -2*v + 12. Suppose 0 = 3*l - v*l - 3*m - 9, -m = 3*l + 9. Sort x, l, 5 in descending order.\nAnswer: 5, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1165)\/35 - 14\/(-49). Find the common denominator of v\/495*305\/(-7) and (1 - 0) + 98\/(-36).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/4 + z**3\/3 + 11*z - 1. Suppose 43 = 4*l + 23, 2173 = -4*i - 3*l. Let c = 547 + i. Calculate b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*x + 12, x = 2*n - 9 - 6. Let h(m) = -m**3 + 9*m**2 + m + 3. Let s be h(n). Let v = s + -11. Is v at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*h + 239*h - 115*h**2 to l*h + i + r*h**2 and give r.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -98*c**2 - 43*c + 5. Let f(s) = 49*s**2 + 22*s - 2. Let y = -6 + 7. Suppose -23 = -4*p + y. Let m(v) = p*n(v) + 13*f(v). Solve m(z) = 0 for z.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 429*4\/12 - 3. Let s = 176 + j. What are the prime factors of s?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1208 take away 2554?\nAnswer: -2553.8792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 2*v - 2*v + 25*v + 20*v - 6*v - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 410618849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -56. Suppose 4*p - 46 - i = 0. Let l = -21 + p. Solve -c + l = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.43. Let g = 700 + 83. Let v = 788 - g. What is the biggest value in n, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/80))\/(s*s**(-10)))\/(s*s*(s*(s**(-12\/5)\/s)\/s)\/s*s*s\/((s\/s**(-29))\/s)) assuming s is positive.\nAnswer: s**(3153\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*k + 6*k**2 + 50*k + 56*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + k - 9. Suppose -q - 3*t + 9 = -0*q, -3 = -q + 3*t. Let y = 1 + q. Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:15 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*g - 127 = 0, -5*v = -2*v + g - 66. Let o(w) = -6*w - 12. Let s be o(-6). Let p = s - v. Which is the smallest value? (a) 0.4 (b) p (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.85 - -3\nAnswer: -25.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - i**2 + 0*i**2 + (-3*i + 0*i + 4*i)*(-3*i - 3*i + 4*i) + (-i + i - i**2)*(-365 - 114 + 9)*(-4 + 1 + 2) as q*i**2 + f*i + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*g - 4, 6905*g + 4*f - 20 = 6899*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20173*b*p - 7*b - 14352*p + 1 wrt b.\nAnswer: -20173*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + y + 3. Let j be a(-3). Suppose 4*n - 7 - 1 = j. Suppose 7 = -n*b + 19. Solve -o + 12 = p - b*p, -4*p = -o + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1, 7115.3?\nAnswer: 7115.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-44))\/(-48 + 47).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 + -127.3. Let l = 221\/4 - 55. Sort t, l, 5 in increasing order.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*a = 3*j - 51, 5*a + 15 = 2*j. Suppose -14*k = -5186 + 4822. Calculate the remainder when k is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24\/10*((-936)\/(-336) - (-8)\/(-28)) and 1822?\nAnswer: 5466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.97 (b) -3\/7 (c) -0.1 (d) 0.036 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1526283 and 50763042?\nAnswer: 1370602134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -12. Suppose -20 = -v*u + 16. Suppose 0 = 5*t + 5*w, w + 4*w + 2 = -4*t. What is the least common multiple of t and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -36.405. Round x to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4208 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {c: 3, v: 5, y: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 4 - 21 - 26*s + 4.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36652704 by 833016.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 2 (b) -2\/9 (c) -2\/17 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11929 is divided by 64?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*x - 11, -3*x - 3*v = -7*x + 31. What is the second derivative of -x*p**5 + 6*p - 3*p + p**5 wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 16) to base 2\nAnswer: 100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*-1*4)\/((sqrt(81)*-2)\/sqrt(9)))\/(sqrt(288)\/sqrt(3)*-3*-6).\nAnswer: -5*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 2*z)*(2*z - z - 4*z) + (-3*z + 4*z - 3*z)*(21*z + 4*z - 12*z).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77047\/19 - -4055. Let s be (11 + 2 + -1)*(-12)\/16. Sort 1\/3, 2, s, m in increasing order.\nAnswer: s, m, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 18 = -6. Let d(a) = -a**3 + a**2 - a - 1. Let c(h) = -12*h**3 - 4*h**2 + 3*h + 3. Let n(t) = -c(t) - 3*d(t). What is the units digit of n(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -4*a + b + 219, 3*a - b = -125. Let q = a - -45. What is the third derivative of 14*k**3 - 66*k**2 + 68*k**q + 22 + 33*k**3 wrt k?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1266 = 5*n + 2*p, 0 = -p - 5 + 3. Suppose n = g - 2*c - c, 0 = g + 3*c - 272. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 65*d**2 + 673*d - 6. Calculate p(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.386630824 rounded to two dps?\nAnswer: 4.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*z + 183*z - d - 2, 76 = -62*z + 10*d - 414 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*w**3 + 43*w**2 - 2*w wrt w?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*i - 5)*(4 + 4 + 2)*(18*i - 18*i - 26*i**3) + (-i**3 + i**3 + 2*i**3)*(-2*i + 4 - 4) to the form p*i**3 + n*i + z + b*i**2 + h*i**4 and give h.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + ((-476288)\/(-58652) - 4). Let m = a - -4\/473. Let t = m + -55\/186. What is the common denominator of 31\/6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(320) + sqrt(320) + 1 + -1 + (sqrt(320) - (sqrt(320)*2 + 5) - sqrt(320))**2)*-2.\nAnswer: -31320 - 4224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3*2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/112*8)\/(5*-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 125243*f - 626200. Calculate q(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/10448 + -527635\/114928. What is the common denominator of z and -65\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1\/(-1))*23. Suppose -a*d + 18*d = -80. What is the highest common divisor of 80 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 28. Let w(g) = -t + 2 + 1 - 1 + 14*g**2. Let c(a) = -3*a. Give c(w(x)).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -25\/21*a**3 - 1\/7*a + 1 + 5\/7*a**2. Determine c so that w(c) = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -347790*r**4 + 81*r**3 - 16902669*r**2.\nAnswer: -8346960*r + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 3*z - 6. Let l be q(-6). Let w = -60438 - -60453. What is the greatest common divisor of l and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19266 + -17531.1. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22320 is divided by 692.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7092, 7081, 7070, 7059, 7048?\n\"Answer: -11*u + 7103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 24*i = -3*l + 17, 48 = 27*i + 2*l + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose 0 = k + 3, -2*u = -5*u + 5*k + 24. Suppose u*a - j*a + 4 = 0. Solve 0 = a*i - 6 + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574, 2882, 5062, 8114, 12038, 16834, 22502?\nAnswer: 29042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-166)\/(-6)*(-3)\/(-1) + -3. Suppose -3*p - f = 2*p. Let d(c) = -38*c - 35. Is d(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/((h\/(h\/h**(3\/5)))\/h)*h))**(25\/4))**(-1) assuming h is positive.\nAnswer: h**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 521106 (base 11) in base 3?\nAnswer: 1120110202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**3 + 12*l**2 - 244199*l + 21822450.\nAnswer: 9*l**2 + 24*l - 244199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*q - i - 42, 5*i - 10 = 0. Solve 5*c + 16 = -2*h, 2*h = 3*c + q + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from axtgl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2. Let u(a) = -4*a**3 + 460 - 466 + 2*a**3. Let q(r) be the first derivative of r**3\/3 - r + 12. Let z be q(-3). Give z*g(t) - 3*u(t).\nAnswer: -2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195870389 is divided by 874?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f)**(-2\/153)*(f\/(((f**0\/f)\/f)\/f))**(13\/8) assuming f is positive.\nAnswer: f**(9953\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))**(-3))**(2\/15) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -968*d**2 + 137*d. Let g(x) = -x**2. Give o(g(n)).\nAnswer: -968*n**4 - 137*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 20 - 5. Let u be (24\/(-36))\/(1\/21). Is c equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3482 - 3483. Let w(i) = -3*i**2 + 10*i + 4. Let c(j) = -j - 1. Calculate t*w(b) - 6*c(b).\nAnswer: 3*b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + l + 140 = 4*k, 2*k - 278 = 3*l. Let x = k - 145. Let w(t) = t**2 - 7*t - 1. Let f be w(7). Put x, f, 5, -4 in ascending order.\nAnswer: -4, x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - q**2 + 2*q. Let d(u) = -u**3 + u**2 - u + 1. Let i(n) = 3*d(n) + 2*y(n). Determine i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 129*n**2 - 142*n - 1555. Give a(-130).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + -4 + 41 + (-13 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2020, 4036, 6052, 8068, 10084, 12100?\nAnswer: 14116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15244 - 15239. Let b be 2\/(-3) + 70\/15. Solve -5*l - b*c + 7 = -4, -k*c + 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7069421, -7069429, -7069441, -7069457, -7069477, -7069501?\nAnswer: -7069529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 844 in 4\/9, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from jceewwceewjee.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(1\/3)))**10*((((g**(-2\/7)*g)\/g)\/g)\/g)**(-2\/5)*(g**1\/g)**(2\/49)*(g\/(g**(-2\/3)\/g))**(-43) assuming g is positive.\nAnswer: g**(-4098\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*a = -336*a + 18. Calculate the lowest common multiple of a and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167530 <= 167529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2223.5 + 2224. Let v = 4 - 3.9. What is the closest to -0.2 in -0.4, k, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 20. Suppose -a*u + 28 = -12*u. What is the units digit of 2*(-7)\/(u\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286338 + -69539. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24*q + 5. What is the tens digit of t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29057.\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -830 + 803. Let r(n) = n**2 + 25*n - 65. What is r(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -11*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 3*a)*(2 - 6 + 0) + 4*a - 13 + 44 - 27.\nAnswer: 8*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12 - 2*(-4)\/(-8). Let c(l) = l**3 + 3*l**2 + l. Let n be c(-3). Put -5, i, 3, n in increasing order.\nAnswer: -5, n, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - i = -0*c - 198, -4*c - 2*i = 404. Let f = 1298\/13 + c. Put f, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.014900154 + 0.0149. Round z to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 819\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -6 (c) -2\/37 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c7 - 450?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -48, -106, -200, -342, -544, -818?\n\"Answer: -2*c**3 - 20*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011946 rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937733?\nAnswer: 3, 7, 53, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 179*k. Let q(r) = 33*r**2 - 2*r. Determine q(g(n)).\nAnswer: 1057353*n**2 - 358*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62198047\/252 - -246818. Calculate the common denominator of b and 25\/24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-52.047.\nAnswer: -104.094","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -a + 114, -4*w = -5*a - 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 6 - 142*-2. Let r = h + -111. Calculate the greatest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*l**2 + 95*l**2 + 15*l**2 - 8 + 43*l**2 - 8 + 4*l**2 + 8 + (5 + l - 5)*(-4 + 4 - l) to the form f + s*l + b*l**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahqhahaqaqhaa. What is prob of sequence aaqa?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 200 = 7*k. Suppose 0 = -3*j - j + k. What are the prime factors of (56\/j)\/((-4)\/(-20))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/19, 1\/125, -11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - 9. Is v(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.76 + -0.14. What is the closest to -2\/3 in t, 5, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49691*j + 99048*j - 49625*j = -7772 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**2 + 37*l - 24. Let g be j(10). Calculate the greatest common divisor of 178 and g.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15377.03 rounded to the nearest ten?\nAnswer: 15380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 208 - 7*q**3 + 208.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1698892286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1408 = -4*l. Let k be l\/(-12) + (-4)\/12. Find the third derivative of 29*w**4 + 3*w**2 - 5*w**6 - k*w**4 wrt w.\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/688341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 4*n**3\/3 - 18. Let f(h) = 10*h**2. Calculate f(x(c)).\nAnswer: 160*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 0.025, -10, -0.1.\nAnswer: -10, -8\/3, -0.1, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 17*g - 9. Let y be p(-16). Suppose -3*u = -5 - y. Factor 2*i + 4*i**2 - 2*i + u - 8*i.\nAnswer: 4*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esztztbs. Give prob of sequence zst.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g = -1297 - 122 - 341 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(75))**2 - 6*(sqrt(13) + sqrt(13) + 2 + sqrt(13)))*1 - -2*(sqrt(143)\/((sqrt(1584)*2 - sqrt(1584) - sqrt(1584)) + sqrt(11)))**2.\nAnswer: -18*sqrt(13) + 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v**3 + v**2 + v - 3. Let s(k) = -19*k**3 + 3*k**2 + 4*k + 26. Let f(w) = 4*m(w) + s(w). Calculate f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.17 (b) -2\/3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*y + 14*o - 16*o - 13, -5*o = 3*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16757323 (base 8) in base 5?\nAnswer: 2001024132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -3*q - j, 5*j = -9*q + 4*q + 330. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 832555790.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010111 + -1111000?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 80988.04 seconds?\nAnswer: 80988040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 178043250?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:44 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8832.5 to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - q = -j - 95, -3*j + 81 = 4*q. Suppose 12*a + 8734 = j*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u. Let m = 43 + -41. Let d(l) = -l + 1. Let h(z) = m*y(z) - 2*d(z). Let p(w) = -13*w - 5. Let j = 40 - 37. Determine j*p(q) - 7*h(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26887 - -38200?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/10 - 26*n**2\/5 + 493*n\/10 + 273\/5 = 0.\nAnswer: -1, 14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5486743 to the power of 1\/2, to the nearest integer?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 118, -5, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:05 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13225000 rounded to the nearest 100000?\nAnswer: -13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 10:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 0.2 (b) 2 (c) -2\/9 (d) 1\/74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2943811.5 months?\nAnswer: 245.317625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 132?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15650840687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 12) in base 9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (2863 - 1) + -5 + 8. What is the greatest common factor of 99 and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292573696?\nAnswer: 2, 571433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n + 52. Suppose 0 = 5*k - m - 36, 4*m + 86 = -5*k + 142. What is z(k)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 2\/7 (c) 2 (d) -552 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 20 + -7 - (34 - 5) - -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30980453 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69a - 162?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -48*m - 18. Let x be y(-27). Suppose x = 9*i - 315. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181712 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and -0.096355.\nAnswer: -0.176355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 5*b**4\/6 + 6*b**2 - 19*b + 15. Let w(r) be the first derivative of d(r). What is the derivative of w(z) wrt z?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2640 divided by 2\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.7 + -8. Let x(r) be the first derivative of -r**2 + 2*r - 1. Let j be x(3). Which is the biggest value? (a) 5 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10821, -10926, -11031, -11136, -11241, -11346?\nAnswer: -11451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 7 = 5*w. Suppose 223*l = -3515 + 18010. What is the remainder when l is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 13. Let w(i) = i + 27. Let h be w(-16). Let s = h + v. Put 3, s, -1 in decreasing order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 616, 2\/11, -4, -519, 0, 1.\nAnswer: -519, -4, 0, 2\/11, 1, 616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 185 - 19 = 19*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 + 145*f**3*v**2 - f**3 - f**2*v - 2*f*v + 463*v**2 wrt f.\nAnswer: -48*f + 870*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1770 = 4*q - 14*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 4, x: 16}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 5. Suppose 0 = 5*k - 3*j + 25, 5*k + 13 = 5*j - 12. What is i(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34852197.\nAnswer: 3, 97, 229, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l\/(l**(-2\/17)\/l))*l))\/l)**(-18))**(-7\/5)\/((l**(-2\/11)\/l)**(-48)*l*l\/((l**(-7)*l*l)\/l)*l*l**9) assuming l is positive.\nAnswer: l**(-67098\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 984\/(-5) - (-2)\/20*-2. Let z = -316 - n. Let s be 4\/26 - z\/(-13). Which is the third biggest value? (a) s (b) -2 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -833226*x**5 + 847124*x wrt x.\nAnswer: -16664520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 times 3?\nAnswer: 4641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 69 (b) 0.1 (c) -0.2 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 - 108*d - 41. What is the remainder when 284 is divided by s(-34)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -595 times 2.3\nAnswer: -1368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + t**2 - 4*t + 3. Let r be x(1). Let p = -0.087 - -0.094. Let q = p - -0.993. What is the nearest to q in r, -1\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -1520.\nAnswer: -1520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pww when three letters picked without replacement from {w: 4, p: 3, i: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.6. Let c = 0.4 + o. Let w = -0.06 - -0.16. What is the closest to w in c, 3, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*l = 388*l + 1221 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 6*y - 2*y - 2*y + 0*y + y + (1 + 2 - 9)*(3*y - 4*y + 5*y)*(1 - 1 - 4).\nAnswer: 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, -22, 2, 5, 256, 3 in descending order.\nAnswer: 256, 23, 5, 3, 2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -98519.5 take away 73412084?\nAnswer: -73510603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*f - 2*w + 7*w, 10 = 4*f + w. Let n(g) be the first derivative of -1\/2*g**f - 4 + 0*g. Let o(p) = -4*p. Calculate o(n(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 305050 times 24?\nAnswer: 7321200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -131. Let m be (-2)\/(-6)*-3*(-2 - 3). Suppose -m*u = -31 - 9. Solve -v*l = -r + u, 2*l - r + 6*r - 13 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 2. What is the remainder when ((-1)\/8)\/(1\/(-14))*4 is divided by t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, 29, 0.3, -77, 0.037?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/100*(-100)\/(-15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -227, 10, -2, 21, 91 in increasing order.\nAnswer: -227, -4, -2, 10, 21, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50854405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2))**(-33)*h*h**(-1\/20)*h**38 assuming h is positive.\nAnswer: h**(-1201\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, -4, -17, 4, -11.\nAnswer: -17, -14, -11, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36405 - (-43 + 8 - -18)?\nAnswer: 2, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -35*i**3 + 20*i + 20. Let a(u) be the first derivative of 5*u**4\/4 - 3*u**2\/2 - 3*u - 18. Give 20*a(n) + 3*w(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q. Let n(d) be the first derivative of -17*d**5\/60 + 9*d**2\/2 + 12. Let c(x) be the second derivative of n(x). Calculate c(i(l)).\nAnswer: -153*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose 3*x = 4*o - 1, -4*o + 9 = -2*x - s*o. Let r(t) = t**2 + 7*t. Let y be r(x). Solve -4*q - 3*b - 13 = y, -2*q + 2*b - 4*b = 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(38)*-1 - sqrt(38))\/(sqrt(32)*-1 + sqrt(2) + sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 2\/5, -27, 18, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, d: 5}. What is prob of picking 2 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2 + z + 5 + 1. Suppose -5*u = -25, 4*m + 2*u = -3*u + 25. Calculate w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1603\/190 + 14\/19. Find the common denominator of m and -67\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 4*y + 7. Suppose -50*r + 2*r = 240. Determine h(r).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - i - 6. Suppose r + i*u + 2903 = 0, r - 4*u + 5796 = -r. What is r rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/15)*o*o**(-3\/41)*o**(-6\/19)*o*o*o**(3\/5) assuming o is positive.\nAnswer: o**(39079\/11685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 204, 332, 564, 930, 1460, 2184?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28001 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 0. Let f be (-14)\/12 + g\/(-9). Suppose 4*j - 3*w = 33, 57*w - 54*w = -6*j - 3. Which is the third biggest value? (a) 2 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((((c*(c\/c**(2\/3))\/c)\/c)\/c)\/c)*c)\/(c\/(c\/(c\/c**(5\/2)))*c)*c**(-2\/17)\/c**(-3\/7))\/(c*c\/c**2*c*c**3*c)**(-28) assuming c is positive.\nAnswer: c**(104585\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 156.598 and 197?\nAnswer: 40.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-1479))*(-446)\/(-3791)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 7. Let l be c(-9). Calculate the remainder when 84 is divided by (-4)\/((-1)\/(3*l\/(-6))).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6900 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1101001101?\nAnswer: -1101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.2 in -4.57, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 2. Let g be n(3). Let j(w) = w - 5. Let p be j(6). Sort -1, p, g in increasing order.\nAnswer: g, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4370949277.\nAnswer: 263, 16619579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 60.585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-4)\/(4*sqrt(147)))**2.\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.376, -2\/25, -168?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 15. Let d be j(-11). Calculate the greatest common factor of 198 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5049776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1098)\/(-3172)*8\/9*1\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 + -3 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20199 (base 10) to base 4\nAnswer: 10323213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9911 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:24 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (3 - 45)) + 1 + 16 + -10 + 6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:43 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2467 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9583.39km?\nAnswer: 9583390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 397\/5 - 1927\/30. What is the common denominator of l and 101\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n**4 + 5*n**3 - 2*n - 2. Let d(c) = -14*c**4 + 6*c**3 - 2*c - 2. Let q(a) = -6*b(a) + 5*d(a). Find the second derivative of q(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -302?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 - 2*j - 9. Let r be k(3). Let n(c) = c + c - 4*c - r - 2. Let f be (-18)\/(-15)*30\/(-9). Give n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/56)\/(-3*(-2)\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b. Let s(d) = 13*d + 1. Calculate c(s(j)).\nAnswer: -78*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34916, -34924, -34936, -34952, -34972?\nAnswer: -34996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.3, -2, 0.02.\nAnswer: -4, -2, 0.02, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 122*c - 1877. What is i(32)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0.23, 2 in descending order.\nAnswer: 2, 0.23, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64*680\/12800)\/(1\/((-5)\/4))*-12.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4568894*3\nAnswer: -13706682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-3) + 2640\/130 + -11?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12.8. What is the biggest value in 0.3, s, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/663 - 366\/(-1530))\/(((-22)\/4)\/1)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-76)\/(-384)) - 210\/805*69\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**8\/336 - 3*s**7\/35 - 19*s**4\/8 + 19*s**2. Find the second derivative of q(i) wrt i.\nAnswer: -20*i**3 - 216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) + ((-6)\/(-3) - 0).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c5 (base 13) to base 11.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20804283, 20804289, 20804301, 20804319, 20804343?\n\"Answer: 3*b**2 - 3*b + 20804283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 155 - 153 + 0*c. Let o = 7 + -5. What are the prime factors of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 - -77.1\nAnswer: 249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (70\/(-21))\/(2\/3). Let m(d) = d**3 - 3*d**2 + 6*d - 2. Let a be m(y). Let l = -114 - a. Is 46 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5195*p - 170396. Let j(q) = -41. Give -4156*j(h) + n(h).\nAnswer: 5195*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 615.85 from 2.\nAnswer: -613.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*q - 104 = 0, 4*r - 16 = -q + 167. Suppose 8*x - 40 = 5*x + 4*b, -3*b + 70 = 4*x. Calculate the remainder when r is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 4*i**2 + 5*i + 8. Let y be h(-2). Let g = 10 + -1. What is the second derivative of 32*p**5 + g*p - 5*p - y*p wrt p?\nAnswer: 640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26956+-6803814184\nAnswer: -6803814184.26956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 22 = 44. What is the units digit of b + (-7 + -1 - -917)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -115*n**9\/168 + 51*n**5\/20 - 5*n**2 + 13*n. Find the third derivative of t(i) wrt i.\nAnswer: -41400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.586 (b) 0.4 (c) -1\/7 (d) -1\/4 (e) 7 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r. Let u = -90 - -93. Let l(w) = -11*w**2 + u*w**2 + 5*w**2 + w**2. Calculate l(q(v)).\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-146)\/(-1533).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69215 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:09 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 825, 4, -2, 1, -25, -3 in increasing order.\nAnswer: -25, -3, -2, -1, 1, 4, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 8784 = 9840 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -49 (c) 4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/24 + 11*k**4\/24 - k**3 - 5*k**2\/3 + 73*k. Factor u(z).\nAnswer: -(z - 5)*(z - 2)*(5*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*l**3 + 146*l**2 + 898*l**2 - 3*l**3 - 513*l**3 + 94*l**3 wrt l.\nAnswer: -1908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -3 + -1)*-4 + (1 + sqrt(1008) + -2 - (sqrt(1008)*-1*-3)**2) + 0.\nAnswer: -9057 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -66. Is 14 a factor of 20\/n*-49*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 58*x + 2. Let h be z(1). Let t = h - 35. Solve 2*s - t = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12863 - 5977 = -5*m. Suppose 3*j = -9*j + m. What are the prime factors of j?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v + 20*v + v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4, -2*k = 4*r + 3*k + 24. Put -4, -3, r in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 27 = -29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - 2) + (177 - 171).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 33336*y**2\/7 - 139077642*y\/7 - 1387444820\/7.\nAnswer: -2*(y + 10)*(y + 8329)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/(5\/(-50)). Which is the closest to 0? (a) k (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**2 + 8*q**2 + q + 113 - q to w + g*q + u*q**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7576 - c**2 + 9225 - c**2 to n*c**2 + k*c + m and give m.\nAnswer: 1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/12846?\nAnswer: -1\/12846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4 - 2 - 2 - 101*b**3 + 105*b**3 - 4*b - 4 + 4*b**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c + 4. Let s be v(0). Suppose -9*i = -s*i - 15. What is the third biggest value in -2\/7, -5, 4, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142735?\nAnswer: 5, 11, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -13.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*t - 192*t + 142*t - 466*t to g + m*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 10)*(9 - (-40)\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*((-12)\/(-15) + -1). Suppose -2*o = -b - 5. Suppose 3*p = 4*y + 593, 0 = -o*p - y - 4*y + 548. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0. Let t = 2.2 - b. Let x = -7 + 6.7. What is the closest to -1 in t, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364869, -365068, -365399, -365862, -366457, -367184?\nAnswer: -368043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2688258, -2688251, -2688244, -2688237?\n\"Answer: 7*v - 2688265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3916, -7844, -11772?\nAnswer: -15700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69457*k + 135 = 69442*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430444713 is divided by 657?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28516 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 3*h**5\/5 + 8*h**4\/3 - 10*h**3 + 8*h**2 + h + 71. Factor j(n).\nAnswer: 4*(n - 1)*(n + 4)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiz when four letters picked without replacement from {z: 7, i: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from {k: 2, y: 2, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let f(k) = -k**3 + k**2 + k - 1. Let h be f(r). Which is the closest to 0.1? (a) 5 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-10 - -5) - -28. Suppose 2*i - b + w = 0, -6*b + b - 68 = 3*i. Let g(y) = y**3 + 17*y**2 + 16*y - 4. What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(11\/3)\/w)*w\/((w*w\/(w\/(w\/((w**(-1)\/w)\/w))))\/w)*w*(w**(1\/2))**(2\/17))**(-7\/8) assuming w is positive.\nAnswer: w**(161\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -223*r**3 - 11*r**2 + 376*r + 35. Let i(n) = 111*n**3 + 5*n**2 - 188*n - 15. Let b(u) = 7*i(u) + 3*x(u). Find the second derivative of b(d) wrt d.\nAnswer: 648*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5545872 + 5576050 = 382*q for q.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1710)\/(-8550)*0*1\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(3\/4)\/b*b\/(b**(3\/4)\/b))\/(b**(-1))**(-1\/13))**(-35\/4))**(1\/75) assuming b is positive.\nAnswer: b**(-35\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4 + 1, h + 17 = -5*q. Let k be (-7)\/((-2)\/(2 + 18)). Let z = h + k. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.1. Let j = 1.55484 - 1.25484. Which is the second smallest value? (a) j (b) 4\/7 (c) -0.32 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 3*v**2 + 738 - 738.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/sqrt(32) - sqrt(8064)*2)\/((1*sqrt(1944) + sqrt(24))\/sqrt(3)).\nAnswer: -47*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = k, 20 = 3*t + 2*t - 4*k. Let p be (t - 2)\/(2\/(-2)). Suppose v = p*v - 7800000. Round v to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2782860258 rounded to 4 dps?\nAnswer: 0.2783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26523533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjj when four letters picked without replacement from xxxxxxxxxxjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206608, -206609, -206610, -206611, -206612, -206613?\nAnswer: -206614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37\/7 - (10\/(-14) - -1). Let u be (-1 - 1) + (-1 - (-3 - n)). Which is the nearest to u? (a) 0 (b) -1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 0.02, 5 in decreasing order.\nAnswer: 5, 0.02, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/36 and -13\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.886 + -0.286. Let n = d + -26.5817. Round n to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:32 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598*h + 602*h - 12 = 0. Let f(b) = h*b**2 - 2908*b + 2908*b. Let y(g) be the third derivative of -g**5\/60 - g**2. Calculate f(y(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1166 and -32\/477.\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 393016 bigger than 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 plus -455123?\nAnswer: -455127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2. Let q(f) = -6*f. What is d(q(p))?\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 166, 374, 668, 1048, 1514?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 52489247 and 52489246 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8173396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 36*y**2 + 109*y + 33. What is the units digit of d(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -974112, -4, 0.18, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 26462, -0.07, -2\/15 in increasing order.\nAnswer: -2\/15, -0.07, 26462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195\/4 - 49. Suppose -179 = 23*v - 54 - 56. Which is the second biggest value? (a) 8 (b) q (c) 0 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 13) to base 6.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0474606 kilograms?\nAnswer: 47460600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -340*l**3 + 2096 wrt l?\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2666, -22981, -78082, -185363, -362218, -626041, -994226, -1484167?\nAnswer: -2113258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 - 161*d + 9.\nAnswer: -161*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66*-0.0271.\nAnswer: -0.017886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 576640*a - 1729965.\nAnswer: 5*(a - 115331)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 12, i: 7}. What is prob of picking 1 y and 2 k?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.46 + -0.26. What is i rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umm when three letters picked without replacement from muuummuuuuuu.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34793820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/79230 and -47\/5058.\nAnswer: 66790890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10666*r - 35 - 36 + 69.\nAnswer: 10666*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12494 - -12614. What is the greatest common factor of r and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6993*v + 249575 = 8668*v for v.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) - (sqrt(13) + (-2*sqrt(78))\/sqrt(6)))*6*6.\nAnswer: -432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, e: 4, j: 2, d: 2, a: 1}. Give prob of sequence hde.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 0*q**3 + 8*q**3 + (2*q**2 - 2*q**2 - q**2)*(-5*q + 3*q + 3*q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283*r - 11 + r**2 + 5 - 2*r**3 - 5*r**4 + 285*r + 2*r**3 to the form c + g*r**3 + p*r + j*r**2 + s*r**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - h + 0*h + (-1 + 3 - 4)*(2*h + 3*h - 3*h))*(2396058*h + 1526*h**3 - 2396058*h) in the form t*h**2 + g*h**4 + j + l*h + m*h**3 and give g.\nAnswer: -7630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 6*g**2 - g - 3*g)*(g - 1 + 1)*(2*g - 2*g - 3*g).\nAnswer: -18*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 - 367. Let z = 381 + c. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 9. Let q = 4 + -6. Is (-9)\/c*(q + 6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2343)\/426*24\/(-220).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34223042 (base 5) to base 4.\nAnswer: 1022122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3248, 3234, 3196, 3122, 3000, 2818?\nAnswer: 2564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10971 and 828.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 5:48 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4560319 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, 13, 69, 179, 361, 633?\n\"Answer: 3*g**3 - g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 52. Solve 20 = -5*k + 5*q, 2 = -2*k + p*q - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -91. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlt when three letters picked without replacement from {w: 5, t: 5, h: 2, l: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99771 and 415632.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 21. Suppose 20 = 2*b - q*b. Is b\/(-10) - (-33)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 2*o**2 + 0*o**2)*(1 + 0 - 2) + 5850*o**2 + 2310696*o - 2105*o**2 - 2310690*o as r*o + q*o**2 + t and give q.\nAnswer: 3747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2 + 44. Let x(y) = -31*y**2. Determine x(g(r)).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 12669224*f + 20063654595272.\nAnswer: 2*(f - 3167306)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -4*n, -3*w + 18 = -3*n + 12. Solve -3*m - 8 - 10 = -3*a, n*a = -2*m + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5876.\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 - 5*b + 3. Let l be r(2). Let j = l + -14. Suppose -5*p - 5*z + 215 = 0, 8*p - j*p = -4*z + 219. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31137\/10 + -3122. Let o = 223571955793\/2211 - 101118030. Let r = 1\/402 - o. What is the common denominator of r and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 20222?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1827 + 1890. What is the highest common divisor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/27)*y)\/y)\/y*((y\/(y*y\/(y*y*y**5*y*y*y)))\/y)\/y)**(-30)\/(y*(y*y*y*y**(-2))\/y*y*y*y**(-2\/13))**(-2\/69) assuming y is positive.\nAnswer: y**(-490138\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((889000\/196)\/127)\/(5\/7)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6582252 divided by -6.\nAnswer: 1097042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -4, 31, -10 in increasing order.\nAnswer: -10, -4, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*y + 13*y**2 - 1510 + 1510 in the form h + g*y + a*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 6, q: 4, b: 3, k: 4, m: 1}. Give prob of sequence mql.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 227*w**2 - 8*w - 12. What are the prime factors of y(-2)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 6*d**5 + 26)*(21 - 1 - 41) + (0*d**2 - 2*d**2 + 3*d**2)*(3*d**3 + 4*d**3 - 5*d**3) - 2*d**5 + 2*d**5 + 2*d**5 - 2*d**4 + 2*d**4 - d**5.\nAnswer: -123*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**2 + n - 4. Is r(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 7*y**2 + 2. Let x(o) = o**3 + 35*o**2 + 4. Let g(c) = 2*c**3 + 61*c**2 + 7. Let a(i) = -4*g(i) + 7*x(i). Determine 5*a(t) - r(t).\nAnswer: -3*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*o - 6 + 0 + 4 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585630, 585637, 585648, 585663, 585682, 585705, 585732?\nAnswer: 585763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -212, -224, -164, -26, 196, 508, 916?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5851*b + 44 = -5855*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3348289 to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -86 and -183 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*s + 6 = -3*a, 4*s = 2*a + 18. Suppose 3*j + 3*f = j + 5, 2*j = 5*f - 3. What is the lowest common multiple of (-1)\/(a\/((-72)\/(-3))) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -4.6?\nAnswer: 4.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -120*t**2 + 36. Let h(c) = -17*c**2 + 5. Let a(y) = 36*h(y) - 5*i(y). Let m(w) = -8*w. Give m(a(f)).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -212132123?\nAnswer: 212132122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 34 = 0. Suppose 0 = o - 5*k - 240, 4*k = o - 332 + 93. Suppose -16*x = -1125 - o. Calculate the greatest common factor of x and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/16)\/((-14)\/(-8) - 2). Let l = 3\/2 - 13\/8. Do l and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + (2 - -1). Suppose 2*w = n*a + 4*w - 26, -4*a = -2*w - 30. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 601 and 1654553?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-163 - 158*t - 165*t + 163)*(1338 - 495 - 617) in the form y*t + a and give y.\nAnswer: -72998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-140))\/(4\/((-16)\/3)*108\/(-567))?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 106 and 316.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 3851.2?\nAnswer: -3851.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**3 + 3*o - 112*o**4 - 4*o + 14*o**3 - 2*o**2 + 4*o - 2 - 4*o to w + x*o + z*o**4 + r*o**3 + t*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 825211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - (-3 - -7)) + (-8 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 284*m - 639*m + 315*m - 5)*(4 + 0 - 2) to the form q + g*m and give g.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 12012592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/15 - 58*p**3\/15 - 176*p**2\/5 - 96*p = 0. Calculate p.\nAnswer: -12, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*-6*(sqrt(27)*4)\/sqrt(9)*5)**2 + 2).\nAnswer: -86404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1351? (a) 30 (b) 0.3 (c) 5 (d) 4 (e) -2\/5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {t: 1, d: 6, m: 3, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276 or -75764\/275?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2706 and 148948162?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 = 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 + 118. Let x = b - -77. Which is greater: -5\/3 or x?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60334 rounded to the nearest 100?\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 6)*(-4*u + 2*u + 3*u)*(-1 - 11449*u - 17787*u - 83*u - 9545*u) to the form v*u**2 + o + j*u and give v.\nAnswer: -77728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 87 = 11. Suppose 0 = g*y - 6467 + 1336. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 11*y - 7. Let m be i(10). Suppose -m*t + 0*t + 255 = 0. What is t rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101001 + 10010101001?\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46276?\nAnswer: 2, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -20*s**2 + 9*s + 68. Let k be g(-6). Let p = k - -736. Calculate the greatest common divisor of p and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-96)\/(-8)*14\/(-16)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 153. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17804736.257956 minus 0.2?\nAnswer: -17804736.457956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/27)\/(((-8)\/288)\/(4\/16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 468. Let v = 306 - f. Which is bigger: v or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 - 2839\/14. What is the common denominator of (-26)\/40 + (-3)\/12 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 18*z**2 + 16*z - 9. Let y be k(-17). Suppose -y*o + 7 = -49. Solve 1 = -4*t - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710058.\nAnswer: 2, 3, 118343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 - 9*s + 8. Let d be o(4). Solve d = r, -2*b - 5*r = b - 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + (-18 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9204, 9250, 9318, 9402, 9496, 9594, 9690?\n\"Answer: -m**3 + 17*m**2 + 2*m + 9186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6244)\/42370)\/(49\/(-35))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1984\/(-20832))\/(17\/(-7)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4211 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005751536 rounded to six decimal places?\nAnswer: -0.005752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 + 63 - 128 - 39*a to the form w + u*a and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220 - -131. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 206 = -2*s + 240, 2*j - 43 = s for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 1. Suppose u + q = 9. Solve -3*m - u = -5*s, 2*s = -3*m + 4*s + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4534?\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17235 + 230?\nAnswer: -17005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = -2*w + 2, -6 = 2*b - 3*w. Let q be (-31)\/(-10) + b + 6\/(-10). What is the nearest to q in -2\/3, -2\/7, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7 + 6 + 4*w - 18. Let h be d(6). Is h at most as big as 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Find the second derivative of 0*w + 0*w + 5*w**x + w + 0*w**3 wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042 + 0.072.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*s = 1 + 23, -4*a - 24 = 2*s for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587*y - 4991*y - 46472 = 25578 + 50494 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3327 - 19963\/6. Which is the fourth smallest value? (a) t (b) 4 (c) 9\/2 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 - 2*k + 1. Let o be b(1). Let v = o - -19. What is the smallest common multiple of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 0. Suppose f*m = -2*m + 386. Suppose 208 = 3*a + 2*v, 2*a - v = -a + m. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**2 + 59*v + 1631. Let k(m) = -7*m**2 + 37*m + 1088. Give 8*k(n) - 5*l(n).\nAnswer: -n**2 + n + 549","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20241102 (base 5) in base 7?\nAnswer: 1255331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114331*j - 40126*j - 455834*j.\nAnswer: -381629*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + (-498)\/24. Let g = y + 23. Let k be 1\/g - 11\/22. Solve k = 3*c - c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -s + 13, 5*s = 6*y - 3*y. Suppose -5*l + 50 = 2*a, -s*l + 4*a + 9 = -21. What is the greatest common divisor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12)*0)\/(6\/(32\/16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -4405?\nAnswer: -4405.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1874 - 1788.3. What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7038 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: Solve 4*j - 86 + 36 = 5*y - 35, 30 = -5*y + j for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*12\/(-8))\/(-1). Which is the closest to -1? (a) -2 (b) j (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 53*l**2 - 25*l - 29. What is m(26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108765128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -3\/4, 0.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50.05 + 50. Let f be 220\/(-28) + 4 - (10 + -14). Which is the nearest to m? (a) f (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(-10*1\/(-125))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 15. Let x(j) = -j**2 - 5*j**2 + 11*j + 10*j**d - 6*j**2 + 560*j**3 - 5. Let p be x(5). Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:13 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4901231 is divided by 3406.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -334325 (base 6) in base 2?\nAnswer: -110111000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2 - 5*x - 13. Let c be d(6). Let b = -132 - c. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001001 + 1010001101010110?\nAnswer: 1010010110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195595304 to the power of 1\/3, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.40638 rounded to one dp?\nAnswer: -114.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, e: 7}. Give prob of sequence qee.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, t: 1, s: 1, l: 2}. What is prob of sequence ets?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -92*q**6\/15 + q**5\/10 + 179*q**2 - 23*q. Differentiate u(w) with respect to w.\nAnswer: -736*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) -66 (b) 0.12 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 256739, 513514, 770291, 1027070?\n\"Answer: t**2 + 256772*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1056 + -1055. Sort 0.1, i, -10, -2 in decreasing order.\nAnswer: i, 0.1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -g. Suppose o = -g*o + 45. Let h = o + -15. Let v(c) = -c - 10. Calculate v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-455))\/(6\/(-156))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 4*b + 27*m - 48*m + 24*m, 105 = 428*b - 421*b - 7*m for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 3 + 1)**2 + 1 + ((3*sqrt(684))**2*-1 - sqrt(684)) + 1 + -3.\nAnswer: -3842 + 82*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(-2\/5))**38\/((g*g*(g*g*g*g**(1\/4)*g*g)\/g)**7\/(g*g**1)**(-40)) assuming g is positive.\nAnswer: g**(-3083\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 20*v**2 - 2*v + 21. Let n be (-217)\/(-31) + 2*(-6)\/4. Does 37 divide u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 3*k**3 - k**4)*(746*k - 826*k + 1666*k).\nAnswer: -1586*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 11645 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/3)\/((-41)\/(-1927)). What is the greatest common divisor of y and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4, -12*p + 3*c = -15*p + 9. Suppose -2*g - 15 = 5*s, 7*g + p*s + 6 = 11*g. Suppose 5*h = 6 + 4. Solve g = i - h - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(238\/35)*(-4)\/65.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3\/85, 3 in decreasing order.\nAnswer: 3, 2, 3\/85, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3))**(1\/26)\/((v*v**(-1\/3))\/v**11) assuming v is positive.\nAnswer: v**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 328, 320, 312, 304, 296, 288?\n\"Answer: -8*h + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 1. Let d(g) = g**3 + 3*g**2 - 2. Let a(p) = 2*d(p) - 3*v(p). What is the first derivative of a(k) wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**2 - 22*x + 22 wrt x?\nAnswer: 4*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 26*p + 1 + 3*p**2 - 27*p + 663*p**3 - 665*p**3 - 16*p to the form a*p + q + g*p**2 + r*p**3 and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1\/(-5) + 588\/(-140). Let h be -5 - (-1 + 32\/g). Solve h*f = f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - n + 196 = 177, 5*n + 50 = 9*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -2*h - 1902. Is h equal to -1057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7847.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9250170 and 1839?\nAnswer: 9250170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 379 and 1?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 1\/2, 353, 24.\nAnswer: -240, 1\/2, 24, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/(-488) + 471\/(-280) - -2.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/10 - 9*h**2. Let c(s) be the first derivative of s**2\/2 - 1. Give w(c(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*n**3*o*y + 251*n**3*o + 6124*n**3 - 1257896*n*o*y wrt y?\nAnswer: -15*n**3*o - 1257896*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-520)\/15*(-2 + 336\/192)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7411 + -7432. Which is the nearest to -2\/5? (a) -3\/2 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 - 7*c + 16. Let t be g(4). Suppose -t*y - y = 4*p - 1520, 3*p - 4*y = 1109. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i. Let l(t) be the second derivative of -1\/2*t**4 - 3*t + 0*t**2 + 0*t**3 + 0. What is z(l(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:09 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g**5 - 184*g**4 + 816*g**3 - 744*g**2 - 1276*g + 480 = 0 for g.\nAnswer: -1, 1\/3, 3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.895 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -10 (c) 890 (d) -0.01 (e) -0.2 (f) 133 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 60 = 5*u, -5*g = 2*u - 0*u - 24. Suppose 2*h + 4*c - 28 = 0, 0*c - 38 = -3*h - 2*c. What is the greatest common factor of u and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123529 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 91 = 20. Let m = 56 + l. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-3))\/(5\/10) - -8. Solve 0 = s*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*2 + sqrt(88))\/sqrt(8)*1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33901920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 56973, 11, 2, -1, 3 in decreasing order.\nAnswer: 56973, 11, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by (((-360)\/(-14))\/(-18))\/((-2)\/42).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.42 - -0.61. Let u = -0.8100174 - d. What is u rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + 2) - -1. Let d be (r - 5)\/(-1 - 0). Suppose -5*f = -0*k + d*k - 45, -4*f + 5*k + 63 = 0. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*p - 5*x, -4*x = 0. Let q be (9\/(-3) - 1) + p. What are the prime factors of (-12)\/24*89*q?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 130. Let l be (t\/78)\/(8\/3). What is the third smallest value in l, -0.1, 2\/9, -12\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2421, -7, 312 in descending order.\nAnswer: 312, -7, -2421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.135 + 97. Let r = -0.135 - v. Which is the nearest to -8? (a) r (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 200, 0 in descending order.\nAnswer: 200, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -423*c**2 + 1734294*c + 24600.\nAnswer: -3*(c - 4100)*(141*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3684760 and -93\/1842380?\nAnswer: 3684760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 19*m**2 - 519*m + 6380. What is y(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-4) - -1)*(-9 + 7). Suppose z*c - 43 = 2*m, -3*m + 6 + 6 = c. Suppose 0 = 4*r + c - 125. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*c**4 - 4*c**2 - 4*c - 2 + 4*c**2 + 2*c**3 to the form y + p*c + m*c**4 + t*c**3 + f*c**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -2467.915?\nAnswer: 2463.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104690928.\nAnswer: 2, 3, 29, 75209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-6) - (-26)\/78. Suppose k*f = 1762 - 192. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a - 295 = -883. Calculate the highest common factor of 87 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p**2 + 16*p - 77. Let j be h(5). Let a = j - -377. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -54 - -12 - -35.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*n**2 - 11*n**3 + 82*n**2 + 26*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 18*y - 25*y. Let l = 51 + y. Let g = 0.5 + 0.5. Sort g, l, 3\/4.\nAnswer: l, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.52 - -2.52. What is the closest to n in -3, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(140\/(-15)) - 15\/(-4). Is 1\/m - (310\/(-15))\/1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 4*r - 63. What is the remainder when m(-7) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 494 and 1885.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6196*z - 28 = -6192*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3474765t in grams?\nAnswer: 347476.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4063, 4057, 4051, 4045, 4039?\nAnswer: 4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3898721\/92 + 42377. Let y = g + 7\/46. Which is the smallest value? (a) y (b) 10\/3 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*o + u, -2*o - 2*u + 29 = 25. Suppose 0*d - 4*g - 484 = -4*d, -o*g = -20. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46002 and 336.\nAnswer: 2576112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = -4*x, -x + 3*a = a. Let b = -5 - x. List the prime factors of (b + (-8)\/3)*111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268792603.\nAnswer: 268792603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -26. Suppose 4*c + 8 = 0, 0 = r*k + k - 5*c - 66. What is the third derivative of -8*x**2 + k*x**2 - 2*x**2 - x**4 + 7*x**4 wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2124665836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 >= -0.09170078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 6 = -3*z, 0 = 5*z - 5. Suppose h*y = 2*y + 3. Suppose 4*u = -u + 30. What is the lowest common multiple of u and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 0.00803899?\nAnswer: 0.5627293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144302272?\nAnswer: 2, 31, 72733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1956 and 1\/2570898.\nAnswer: 838112748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498239 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15))\/((-4)\/10)*360\/(-960)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4 and -19\/11846?\nAnswer: 23692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 4068.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 7*y**5\/60 + 34*y**2. Let j(s) = -s**2 + s + 1. Let m(i) = 2*i**2 + 3*i + 3. Let n(z) = -6*j(z) + 2*m(z). What is o(n(c))?\nAnswer: 700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -22. Let r = -92 + 92. Put 7, r, h in descending order.\nAnswer: 7, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:42 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314545, 629079, 943611, 1258141?\nAnswer: 1572669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 49, 53, 91, 175, 317?\n\"Answer: 2*q**3 - q**2 - 29*q + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1 - 3 - 1). Let h = z + -5. Suppose -4 + h = 4*d, -w - d + 6 = 0. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/184 and -16\/3979.\nAnswer: 31832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 74, 117, 160, 203?\n\"Answer: 43*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 2*n - 3*n. Let l(r) = -r + 6. Let f be l(6). Let t(v) = -5*v + 2*v + f*v. Determine i(t(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 9. Let i(d) = d + 12. Suppose y = -24 + 20. Let b(u) = y*x(u) + 3*i(u). Let n(q) = 3 - 3 - 6*q. What is b(n(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 8, 4, -2, -10, -20, -32?\n\"Answer: -d**2 + d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3080, 6370, 9662, 12956, 16252?\n\"Answer: v**2 + 3287*v - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (108\/8)\/((-483)\/63). Is -2 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 1. Let p be k(-3). Suppose q = -5*g + 33, p*q - q = -3*g + 47. Which is the nearest to -3\/5? (a) 0.4 (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 65, 95, 125?\n\"Answer: 30*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 1187178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129907, 259780, 389645, 519502, 649351, 779192?\nAnswer: 909025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7348 = -801*q + 24169 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81392.58 weeks to nanoseconds.\nAnswer: 49226232384000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 2*x + 2. Let u be s(2). Let j be (u\/(-9))\/((-3)\/(-36)). Let q be (-1 - -1)\/(j\/4). Solve 3*z - 5*d + 12 = q, -4*z + 18 = 4*d + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 308\/147 + (-3 - (-366)\/126). Put -3, 5, x in ascending order.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**3 + 2*a**2 - 2. Let z(b) = -5*b**3 - 11*b + 6. Let r(g) = -g**3 - 2*g + 1. Let d(m) = 11*r(m) - 2*z(m). Let n = -49 + 45. Give n*d(q) + p(q).\nAnswer: -2*q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - v**2 + 7*v**3 - 22*v**3 + 6 - 2*v**2 - 3*v**2 as n + d*v + l*v**2 + u*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(6 - 65\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2625 + 2626. What is the smallest value in o, 86, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 75 (c) -5 (d) -0.5 (e) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35826 - -4633. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**3)**(-21))**2)**(-2\/5) assuming w is positive.\nAnswer: w**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 10*o**2 - o + 1. Let n be b(-10). Let j = 21 - n. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 27*d**2 - 43*d + 172. Does 16 divide p(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12266790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -10. What is the remainder when ((-210)\/45)\/((-4)\/6) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by 3837.\nAnswer: 154\/3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -648\/7*q + 328\/7*q**3 - 316\/7*q**2 + 0 - 4\/7*q**4 = 0. What is q?\nAnswer: -1, 0, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-245)\/(-231))\/(-7)*1935\/(-1075).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034741717 to the power of 1\/2, to the nearest integer?\nAnswer: 32167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, 0, -28, -2, 114, -4.\nAnswer: -28, -4, -2, 0, 114, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.05, 4, 0.5 in decreasing order.\nAnswer: 6.05, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 612 + 4. Let s = 877 - z. Suppose 8*w = -29 + s. What is the remainder when 173 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:20 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1142*u - 1075 wrt u.\nAnswer: 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 856, 1018, 1276, 1630, 2080, 2626?\n\"Answer: 48*d**2 + 18*d + 790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 603*k**3\/2 - 41*k**2\/2 + 9*k - 36. Let o(m) be the first derivative of r(m). Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, f: 3, j: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 + 2. Let q be u(9). Let x = q - -2. Let o(p) = p**2 - 6*p + 11. Let l be o(x). Solve -2 - 4 = -l*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5792639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-32)*w))*w)**(-1\/10)*(((w\/(w\/(w\/(w**(-1\/2)*w*w))))\/w*w)\/w)**(1\/26))**44 assuming w is positive.\nAnswer: w**(1683\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 - 2*q**2 + 0*q**2)*(-4*q - 2*q + 4*q) + q**3 + 19*q**3 + 2*q**3 in the form z*q + o + x*q**2 + f*q**3 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1196 - -7131. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 604 and 5?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 13*c - 27. Let v be d(15). Find the first derivative of -18 + 22*g**v - 49*g**2 + 51*g**2 - 12 + 3 wrt g.\nAnswer: 66*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 718*w - 31. Let y(b) = 1078*b - 46. Let c(q) = -8*j(q) + 5*y(q). What is the hundreds digit of c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 12941, -2 in decreasing order.\nAnswer: 12941, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 2*g - 89597*o + 89593*o, -2*g - 2*o + 57 = o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003967424628 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {a: 3, u: 4, i: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774 divided by -2.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10691.489 + -10727. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8097557 and 0.061?\nAnswer: 493950.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/176 + 671144\/(-3691534). Let j = -25001465\/24162768 - t. What is the common denominator of 33\/14 and j?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 34. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4240052?\nAnswer: -12720156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.861 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1\/6)*j**(-25) assuming j is positive.\nAnswer: j**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Suppose 2*b - 22 = 2*j - 0*b, -17 = j - 4*b. Let z be 4\/3 + j\/27. Solve -l = -d - z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s + 90 = 100. Solve -4*h = -m + 20, -24*m - s*h - 4 = -23*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3 + 63639*j - 1 - 63644*j. What is r(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = 2*y, -2*d + y - 35 = 0. Let u be (-15)\/d - 1 - 38\/60. Put u, -1\/5, -3\/11 in descending order.\nAnswer: -1\/5, -3\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 82. Let t be n(0). Suppose 5*a + 31 + 9 = 5*c, 5*a + 10 = 0. Suppose 7*r - c*r = t. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 182 - 165 = 4*u, 4 = -2*a - 2*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 0.2, 1\/36, -82?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 1, i: 2, c: 1}. Give prob of sequence uicy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**9)\/((x*x\/(x\/(x**39\/x)))\/x*x)*(x**(2\/61)*x)\/(x*((x\/((x*x\/((x\/x**(3\/38)*x*x)\/x))\/x))\/x)\/x) assuming x is positive.\nAnswer: x**(-108687\/2318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45 + -6 + -1 + 4 + 0. Suppose 27 = -t - m + 2*m, -4*m - q = t. Let n(k) = k**2 + 30*k + 5. Let l be n(t). Solve 34 = -l*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/224 and -19\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*t + 675 + 510 = -287 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 12*s + 7. Let w be q(-3). Suppose 2*p - w*p + 4424 = 0. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2243*u + 27*u**2 - 83*u**2 - 4492*u + 23*u**3 + 2250*u to the form h + y*u**3 + t*u**2 + n*u and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.02121 and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 - 17*k + 17. Let j be r(7). Let y(h) = 9*h - 1. Let x(f) = -8*f + 1. What is j*y(p) - 5*x(p)?\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/2 of a hour?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 146*t - 26586288 = -17*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24*(-329)\/(-470))\/((-9)\/(-45))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*i - 1)*(-3*i + 22*i + 46*i) to the form b*i**2 + g + d*i and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:16 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525369 + 3*o**2 - 525369 - 11*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let x(a) = a + 28. Let o be x(-26). Let s(c) = 5*c + 1. What is o*z(r) + s(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/15*m**5 - 1\/6*m**4 + 1\/120*m**6 + 0 + 1\/2*m**2 - m + m**3. Let w(u) be the first derivative of b(u). Calculate w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 75 = -18*w + 13*w, 2*w - 54 = -4*m. Solve -16*r - m = -22*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83883825 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5818949 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-14)\/(-245)*(-56)\/(-272). What is the biggest value in -6\/149, -1\/2, y?\nAnswer: -6\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l**3 + 14*l**2 - 3*l + 3. Let i(n) = 8*n**3 + 6*n**2 - n + 1. Give -5*i(w) + 2*q(w).\nAnswer: -10*w**3 - 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6*c - 2*c - 87 = 0, -5*c + 15 = 0. Suppose -u + 3 = -h. Suppose 77 = 4*d - 5*g, -3*g + u = d - 6*g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -95 - o**2 + 5*o - 95 + 189. Calculate s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -100022221001301?\nAnswer: -100022221001303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from wwwwwwwowwwow?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.31413 and -0.01.\nAnswer: 0.0431413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/9, -26, 0.1, -0.2 in descending order.\nAnswer: 5\/9, 0.1, -0.2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1105899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -380 - -245. Let v = -135.1 - o. Let g = 14.16 + -14. Sort g, v, 0.4.\nAnswer: v, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 25*i. Let u(r) = -2*r - 366. Give u(c(y)).\nAnswer: -50*y - 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 12*i + 7. Let r be (-2)\/9 + (-238)\/(-18). Let w be l(r). Let o be (44\/33)\/((-2)\/w). What is the highest common divisor of 6 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-384) + (-665)\/(-228)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/5))**1*(m*m**(1\/7)\/m)\/(m\/(m*m\/((m\/m**(-1)*m)\/m))*m*m) assuming m is positive.\nAnswer: m**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24178124 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/123 (b) 0.2 (c) -2\/123 (d) 0.1 (e) -2\/9 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-375) + 12\/150.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433324 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Solve -g*p = -5*c, c - 3*c - 2 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 4*k**3\/3 + k**2\/2 - 6*k - 301. Suppose v - 4*v = -15. Give d(v).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 211782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 35. What is o(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4 = 4*p. Suppose -3*n + n + 6 = 0. Let o be (8\/6)\/(n\/(-9)). Sort o, p, 4.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 8*h + 6. Let d(o) = o**2 - 8*o - 7. Let k(c) = -5*d(c) - 6*n(c). Let i be k(8). Let x(z) = 3*z**3 + z**2 - 1. Give x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 26*j + 143. Let q be x(-5). Suppose -q*y = 41*y - 235818. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1287 - 1286.997844. Round b to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 25 - 7769*c + 2641*c to the form w + q*c and give q.\nAnswer: -5128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1417, 1418, 1419, 1420, 1421?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4627*u**4 + 4007?\nAnswer: 18508*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0892729 to four dps.\nAnswer: 0.0893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2028, 16192, 54594, 129354, 252592, 436428, 692982?\n\"Answer: 2020*f**3 - f**2 + 27*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624817?\nAnswer: 67, 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10012*y - 167744 = 12472 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 4 - (-40 - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12750 and 59478000?\nAnswer: 1011126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57330, 114428, 171526, 228624, 285722?\nAnswer: 342820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12303123 - -10?\nAnswer: 12303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295056 by 3.\nAnswer: 98352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-17\/5)\/c))\/(((c**(1\/12)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(379\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (10547 - 10547 - 10*s)*(s**2 + 3*s**2 + 0*s**2 - s**2 + 6 - 6 + (-6 + 4 + 0)*(1 - 1 + 2*s**2)) in the form g*s**2 + f*s**3 + o + a*s and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 321908.671 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in 3, -1, 0.2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 83 + 4*w**4 - 127 + w + 2*w**4 wrt w.\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-769828)\/8)*(-76 - -78) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17387, -17303, -17107, -16751, -16187, -15367, -14243, -12767?\nAnswer: -10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -10*z + 5*z, 3*z + 32*s = 105 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t + 3*n - n, -5 = -3*t + 4*n. Put -1\/6, 0.5, t, -2 in ascending order.\nAnswer: -2, t, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 957 and 13369.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*q - 3580174 + 13893690 = -2111544. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 11, 5, 212 in ascending order.\nAnswer: -5, -3, 3, 5, 11, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 849 = -46. Let d = v - -188. Calculate the remainder when ((-25)\/(-10))\/(2\/12) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-24))\/((-8)\/(-64))*(-81)\/432?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164033 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -948 - -1163. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 40 = 11*g. Solve b + 8 = 2*z - 2*b, 5*z - b = g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48024 and 30636?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x**3 - 8*x - 9. Let r(f) = 3*f**3 + 2*f + 2. Let v = 311 + -311. Suppose v = -2*t - 2*o + 3*o + 2, -4*t - 3*o = -14. Give t*h(d) + 9*r(d).\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -4. Let d = 2\/11741 - 11749\/46964. Which is the third smallest value? (a) d (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3\/2 - 12009*r**2\/2 + 500571*r - 4019868 = 0 for r.\nAnswer: 9, 76, 3918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 6 = -54*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (88\/5)\/(-4)*10. Let p be 1\/((-8)\/f)*2. Suppose p*u = 6*u + 165. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, -1217 in decreasing order.\nAnswer: 1, -2, -4, -1217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/3 - 140*k**4\/3 - 764*k**3\/3 + 1040*k**2\/3 + 254*k - 300 = 0. Calculate k.\nAnswer: -6, -1, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 0.283.\nAnswer: -0.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 113. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 39*g - 76. Is 4 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 9. Let a(r) = -130*r - 1424. Let g be a(-11). What is k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91093 and 34641.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70803.93 litres to millilitres.\nAnswer: 70803930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a - 13*a**2 - 8*a + 2*a - a as r*a**2 + f + k*a and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191 - -2.9?\nAnswer: -1188.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22784.97 - -22785. Which is the closest to g? (a) 3\/7 (b) 8\/5 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z - 877 + 821 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0 + 8*c + 0 - 3*c. Let q be b(-1). Put 2, -1, q in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 1, -22144, -1\/9, -1\/2?\nAnswer: -22144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 3\/7 (c) 2880 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 27*u**2 + 163*u + 41. Let k be b(32). Solve -k*v + 129*v = 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1664)\/260 - (36\/(-15))\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - h + h)*(-1 - 14 - 5).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -17052\/53, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5004)\/(-81) + 22\/18 + -1. Let i be 2 + (3\/6 - z\/(-4)). Solve 3*l - 5*g = -28, g = -2*l - 3*g + i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u + 78. Determine y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65567 (base 10) to base 14.\nAnswer: 19c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68491.29 years?\nAnswer: 821895.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*h**2 + 11*h - 2*h + 59*h**2 - 9*h to the form k + z*h + d*h**2 and give d.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -23*t + 166. Let v be w(-45). Suppose 1209*f - v*f - 40 = 0. Solve -2*k = -f*h + 8, k - 4 = h - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 3 + b**2 + 2*b - 1 - b. Let w be d(3). Solve -7*m + w = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2941 - -2940.6. Let f = -8 + 6. Put o, -4, -1\/3, f in descending order.\nAnswer: -1\/3, o, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)*(5096\/(-16))\/13. Solve 1 = -12*l + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a. Let n be k(1). Suppose 3*q + 0*q - n = -c, q + c - 1 = 0. Suppose u + 8 = 3*s - 10, -4*s - q*u = -24. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r**2 + 9*r - 1. Let x(a) = -35*a**2 - 16*a + 1. What is 7*q(y) + 4*x(y)?\nAnswer: -14*y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 244795192?\nAnswer: -244795191.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**2 - 3*j + 1. Calculate the lowest common multiple of 19 + (8\/14)\/(77\/(-539)) and w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -2\/5, -2\/21, -2, -53?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5112 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -24b9?\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6697\/174 - 1\/87. Calculate the common denominator of l and -133\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -31*t + 18. Let n(f) = -440*f + 250. Calculate -6*n(v) + 85*x(v).\nAnswer: 5*v + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113*84\/(-4746))\/((-2)\/101).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 22*v + 109. Let l be z(-19). Suppose l*u + 999 = 55*u - 3*k, -4*u + 1334 = -3*k. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 37, 58, 87, 124, 169?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 56. Suppose n + 16 = -4*r, -n = -l*r + 3*r - 2. Let j(v) = -v**3 - 2*v + 4. Let d(c) = c**3 + c - 3. What is r*j(t) - 4*d(t)?\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 4. Let v be z\/(-9) - 112\/(-18). Suppose -22 + v = -2*j. Solve k + k = j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = j + 38, -36 = 4*j - 4*s + 164. Suppose -5*r + 1052 = -2438. Let c = j + r. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363123528627010460.00000013 - -363123530781945578. Let d = -2154935150 + k. Let f = d + 32. Round f to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {h: 8, c: 1, l: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9837389719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -186. Sort -4, -5, -3, w in descending order.\nAnswer: w, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 16267422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:21 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1730*f**2 - 108*f - 9 wrt f?\nAnswer: -3460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*c = 33, 563758*z - 563755*z + c - 33 = 0 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 18*n - 18. Let s be i(-8). Suppose 30 = x - 5*x - 2*x. Sort s, 11, x in descending order.\nAnswer: 11, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 3. Suppose 11 = i + 3*j, x*i - 18 = -6*j + 2*j. Put -0.1, i, 4 in increasing order.\nAnswer: -0.1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwwwnmmwwmnmmmwmm. Give prob of sequence nm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 71 - 157 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -587*j - 1755. Calculate the lowest common multiple of (-1)\/(-1) - (-147)\/3 and i(-3).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1352, -2748, -4194, -5714, -7332, -9072?\n\"Answer: -4*i**3 - i**2 - 1365*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 132390306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.15. Let r = -0.2 + -0.3. Let z = f - r. What is z rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/4 + 2715*i**2\/2 + 176931*i\/4 - 91179\/2 = 0.\nAnswer: -33, 1, 1842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-978)\/(-4238) + (-18)\/247\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 m when four letters picked without replacement from {b: 1, k: 2, m: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = -6*g + 3*g, 2*r = -5*g - 14. Let d be ((-3)\/(-5))\/(g\/5). Let c = -6.9 + 6.6. What is the biggest value in -2, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 33 = 5*y, -m + 2*m - y - 3 = 0. Let v = m - 3. Let l(u) = 3*u**3 - u**2 + 5*u - 4. Is l(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 11 = 4. Let b = 1103 - 830.3. Let n = b - 273. What is the third smallest value in -5, n, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 minus 46?\nAnswer: -45.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 107 in decreasing order.\nAnswer: 107, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 (base 3) in base 7?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + x + 1 + 1)*(1 + 0 + 1) - 4*x + 142 - 142 to k*x + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.474445 and -0.46.\nAnswer: 0.014445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 2, x: 1, o: 2, d: 1, l: 2}. What is prob of sequence rlir?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 45002 to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let y(s) = 35*s. What is y(q(w))?\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + b**2)*(3*b**3 - b**3 + 0*b**3) + 12*b**5 - 18*b**4 + 18*b**4.\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123102112 + 212?\nAnswer: 1123102330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63141013, -126282031, -189423051, -252564073, -315705097, -378846123?\n\"Answer: -p**2 - 63141015*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14433693179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-19974)\/10 + 0)*15\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1213762 by 57.\nAnswer: 1213762\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2941*r**2 - 273519*r - 558. Determine x(-93).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3688454 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27962 divided by 451.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1099872142 + -1099872136.00000021. Let m = s + -6. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434956.9 litres in millilitres?\nAnswer: 434956900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -180, -481, -922, -1509, -2248?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -54. Suppose -5*z + 15 = 0, y = j*y - 2*z - 30. What is the smallest common multiple of (-16)\/3*(-63)\/14 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-3580)\/(-2148)) + 178\/(-40)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -412, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/5)*b))**(-3\/23)*(b\/((b**(-1\/3)\/b)\/b))**(-4) assuming b is positive.\nAnswer: b**(-4618\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38791 + -23819. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -162 - 608?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/117, 0.09, -1\/7 in decreasing order.\nAnswer: 0.09, -16\/117, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119185 - -118913.801. Let j = -271 - m. Round j to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2)*(m*(m*m\/m**(-3)*m)\/m*m)\/m)\/(m**2*m*m**0) assuming m is positive.\nAnswer: m**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13704978*y**2 - 2*y - 4618567 wrt y.\nAnswer: 27409956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/8)\/(6\/4). Let q be 2\/c*20\/40. What is the nearest to 0 in 4, 3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661\/3 - 154. Let f = 66 - q. What is the closest to -2\/7 in 2\/17, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*z**2 + 716*z - 716*z)*(5*z**2 - z**2 - 2*z**2) to the form m*z**4 + s*z + p*z**3 + o + k*z**2 and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360102 is divided by 607?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t*((((t*t**0)\/t)\/t)\/t)\/t*t)**(2\/61)*(t**(-1\/2)*t*t**(-3\/5)*t*t)\/(t**(1\/5)*(t\/((t\/(t\/(t*t**2*t*t)*t)*t)\/t))\/t) assuming t is positive.\nAnswer: t**(3557\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101010011 (base 2) in base 13?\nAnswer: -1a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12027 by -2.\nAnswer: 12027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32258 = 46*r - 82822 - 60502. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 81*a**2 - 6642*a + 48. Give f(82).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*j + 14, j - 10 = t - 2*j. Put t, 0, 5 in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuujuujuu. Give prob of picking 3 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 - 6*n + 16. Let j(c) = c**3 + 2*c**2 - 3*c + 4. Let i be j(-3). Let h = i + -1. Let d(q) = 2*q**2 + 2*q - 5. Calculate h*y(u) + 10*d(u).\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*l + 16, b + 10 = 3*l - 0*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 12:51 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-8))\/((72\/208)\/(90\/39))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.34 - -0.34. Let d = -5.3 + 3. Let g = -2.2 - d. What is the third smallest value in -5, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28181301 to the power of 1\/2, to the nearest integer?\nAnswer: 5309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -16, -4*o - 5*h + 8*h + 112 = 0. Let f(t) = 40*t + 4. Let b be (-4 + 2)\/((-6)\/9). What is the remainder when f(b) is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 213, 761, 1861, 3705, 6485?\n\"Answer: 32*b**3 - 12*b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, u: 5, n: 1, a: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*h = -0*l - 42, 0 = 3*l - 2*h - 42. Let c = 23 - l. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4\/7, -21\/4, 46, -1\/6, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196.2 + 145.2. Which is the nearest to -1? (a) -2 (b) 4 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*(-2)\/1*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12810 + 12834. Let l(j) = -j**2 + 27*j - 88. Calculate l(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - 29. Let s = -171 - v. Let i = s - -81.48. Round i to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 8*y**2 + 0*y**2 + 8 - 5*y**3.\nAnswer: -5*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**3 - 23*k**2 + 35*k - 135. What is j(7)?\nAnswer: -4104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110724611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*y - 252*y + 12, -2*y = -4*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczczzccvzczczzczczc. What is prob of picking 1 v and 1 c?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259123 less than or equal to 2850350\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 4. Let f be j(-5). Let r be ((-54)\/f)\/((-2)\/(-14)). Suppose 5*h = 2 + r. Solve 7 = -3*y - 2*b, -2*y + 4*b - h = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1628826750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 a factor of 854612042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*s + 67. Is (s - 63060\/(-65)) + 2\/(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*(-155)\/(-62)*27\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 71*f**7\/840 + f**6\/240 + f**5\/120 - f**4\/12 - 7*f**2. Let s(v) be the second derivative of g(v). Is s(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25934669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 924 or 880?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 11*g - 9*g + 20*g. Let j(d) = 6*d**2. Calculate p(j(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -4 - -17) + -16\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -181. Let j = 168 + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 13*y**2 - 12*y + 6. Suppose -5*v + 36 = -2*v. Let t be j(v). What is the second derivative of -4*g**3 - 9*g - t*g**3 + 11*g**3 wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2. Let k(a) = -2*a + 17. Let c be k(9). Let o(h) = 6*h**3 + 7*h**2 + h - 2. Let u(t) = c*d(t) - o(t). Factor u(z).\nAnswer: -(z + 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115026 or -115025?\nAnswer: -115026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/12)\/((-7)\/(-14)). Sort 5, 3, n in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, b: 10}. Give prob of picking 2 b.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**5 - 3*w**2)*((3 - 2 + 1)*(-5 + 2 + 2) + 87 - 106 - 112 - 1 + 1 - 6).\nAnswer: -278*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -32134041100?\nAnswer: 32134041100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6085, 6088, 6093, 6100?\nAnswer: 6109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**8\/40320 - j**7\/10080 - j**6\/720 - j**5\/20 + 2*j**2. Let k(n) be the third derivative of o(n). Factor k(i).\nAnswer: (i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 764313428 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -1 + (18192\/504 - 11).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.37304 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5 + 9. Let k be ((-1)\/a)\/((-2)\/24). Suppose k*n - 33 = 3*n. What is the greatest common divisor of n and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 56*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = -4*o - 19*j - 59, -2*j + 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = -10. Let n = 29 + v. Suppose r = -4*t - 11 + 41, 5*t = 2*r + n. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4196? (a) -0.19 (b) -1\/9 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 + -166. Calculate the remainder when 134 is divided by (-12)\/7 + 2 - (-2703)\/d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*z = -9981 - 39019. Does 175 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11912?\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 30?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36122811 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from murmmimmi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3174 and -0.3.\nAnswer: -0.6174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 27*x - 94778350 = 0. Suppose 7*n + x = -36314174. Let b = n + 23795692. What is b rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/16 - 7*h**4\/16 - 3*h**3\/8 - 24*h**2 + h. Factor q(a).\nAnswer: 3*(a - 3)*(5*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73679*w - 87544224 + 87544224 + (w + 3 - 3)*(1 - 3 + 4) to g*w + j and give g.\nAnswer: 73681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808319.7 millilitres to litres.\nAnswer: 808.3197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b. Let y(s) = 184852*s - 40. What is y(n(u))?\nAnswer: 184852*u - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 473 + -473. Which is the closest to -0.1? (a) -0.3 (b) j (c) 2\/3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224627*p**3*u**2 + 7013*p**2*u**2 - 5*p**2 wrt p.\nAnswer: 1347762*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b = -19*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v - 25 = 0. Suppose -v*z + 0*z + 245 = 4*n, 3*z - n - 130 = 0. Calculate the highest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360878 divided by 2?\nAnswer: 180439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -125972?\nAnswer: 125977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -84363101*w - 60066108 wrt w?\nAnswer: -84363101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 16*a**2 + 27*a**3 + 32*a**2 + 53*a**3 - 61*a**2.\nAnswer: 80*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-105))\/(273\/(-1872))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99072 - 98432 = 32*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7211\/138 - -313\/6. Let o = -4.07 + -13.63. Let l = o + 18. What is the closest to l in -1, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224.72 - -4.28. Let u = 232 - f. What is the closest to -1 in -2, u, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2019055*y**3 + 8855777*y**2.\nAnswer: -12114330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1739 (base 12) in base 13?\nAnswer: -135c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 8*y - 12. Let p(h) = -5*h + 0*h**2 - 20 - 3*h**2 + 18 + 5*h**2. Let a be p(4). What is the least common multiple of z(a) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1287 (base 13) to base 11\nAnswer: -1a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 15*f - 10. Let a(g) = g**3 - g**2 + g - 14. Let w be a(0). Calculate i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g - 104 = -0*g + 72 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 47941*f**2 + 47941*f**2 + 33113*f**3.\nAnswer: 33113*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*n - 23 - 11, -5*x + 42 = -3*n. Let i = 65 + x. Round i to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = -124*y - 143*y - 697. Put 29, -0.2, 2, y, 9 in descending order.\nAnswer: 29, 9, 2, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/170 and -59\/80?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 a when four letters picked without replacement from {b: 1, a: 3, h: 16}.\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 + 3*c**6 - 42*c**2 + 41*c**2 - 39*c**2 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674b (base 14) to base 13.\nAnswer: 81c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -127, -180, -233?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*s - 274*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9 + (19 - 2871\/162).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 - 2*h - 2. Suppose 4*j - 70 = -2*d, -3*d = 5*j - 0*j - 87. Suppose -y = -4*y - j. Is 5 a factor of o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3701 >= -3703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92433984 rounded to the nearest 100000?\nAnswer: 92400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 140 = -74 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:57 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2226640 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 839508 = 839508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 + 1430 + 3001)*(1 - 2 - 1 - r).\nAnswer: -4966*r - 9932","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -263*h**4\/2 - h**3 = 0.\nAnswer: -2\/263, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(30)\/sqrt(5))*-3 + sqrt(6))\/sqrt(192) + (2 + (sqrt(2) - sqrt(64)\/sqrt(2))*-1)**2.\nAnswer: 91*sqrt(2)\/8 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -441324 * 0.6.\nAnswer: -264794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 21*(-7)\/21 - -22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98\/5 - -14411\/735. Let u(o) be the second derivative of y*o**7 - 1\/70*o**5 - 1\/42*o**4 - 2*o + 0*o**2 + 0 + 0*o**3 + 1\/105*o**6. Factor u(n).\nAnswer: 2*n**2*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(-4 + 2 + 4)*(-202 + 202 - 7*m)*(m - 1 + 1).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(539) - -5*(1 + sqrt(539)))**2 + -1 + (1 + (1*sqrt(539) - sqrt(539)))**2 + 5)*1.\nAnswer: -97143 - 2100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + -8) - -2 - (0 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, -3, -51, 10850 in ascending order.\nAnswer: -51, -3, 123, 10850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1 + 0 + 4 - 3. Let q be 1\/(1*3\/(-6)). Let a = 13 - 18. Let b(d) = d - 4. Calculate a*k(o) + q*b(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-6)*(-2)\/(-1)*48\/(-32).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2789, 2787, 2785, 2783, 2781, 2779?\nAnswer: 2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0*p + 10 = 3*k, 0 = -2*p - 5*k + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36654 + 5?\nAnswer: 36659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-3 + 3 - 2*s) + 5*s - s - 2*s - s - 3 + 2 + 5 to the form j*s + q and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -13. Suppose 5*s - 3 = 2. Differentiate -b**2 - c + 3 + s with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n - 116. Let w(a) = 5*a - 39. Give 4*o(s) - 11*w(s).\nAnswer: 9*s - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277068 = -30*w + 62*w - 21300. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.475 and 2.\nAnswer: 2.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - 2\/(-6). Let n = 1 + y. Suppose 4*r - 5*s = 79, -r + 3*r - n*s - 42 = 0. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 5*n + 4. Let k(d) = -d**2 + 1. Let g(p) = 3*k(p) + v(p). Let t be g(6). Solve -2*x - 11 = -t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*p + 1937, 5*p - 82*r + 1986 = -79*r. Which is greater: -399 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77.944 + -0.056. Let v = m - -79. Which is the closest to v? (a) -3 (b) 0 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 94. What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77286 and 1914.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06896 - 0.074266. Round n to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from vxxxxvxven?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.073 - -34.0711358. What is k rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, q: 5}. What is prob of picking 3 s?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9411*s - 9400*s + 154 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 0, 21, -20.\nAnswer: -20, -4, -3, -1, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.199 - 27?\nAnswer: -35.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3\/4 - 1045*b**2\/4 + 156185*b\/4 - 754175\/4 = 0 for b.\nAnswer: -311, 5, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 25. Suppose -5*m + b = 7. Suppose -o = h - 3*h + 4, 0 = -3*h + 5*o + 6. Solve 4*t = 2*u - u + 19, 0 = m*t - h*u - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -480872*l. Let n(a) = -a**2 - 11. What is n(z(f))?\nAnswer: -231237880384*f**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -117*m - m**2 + 1 + 105*m + 5*m**2 - 9. Suppose 4*w + w - 30 = 0. What are the prime factors of n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times -6706.9\nAnswer: -24144.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -5, -913, -76 in descending order.\nAnswer: 23, -5, -76, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-10)*s\/(s\/s**(1\/2))*(s\/(s**7\/s))\/(s\/((s**(-5)\/s)\/s)) assuming s is positive.\nAnswer: s**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 23901 - 58558 = 37023. Calculate the greatest common factor of z and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3114876 by -3.\nAnswer: 1038292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**2 - 3*w + 18 + 21*w**4 - 15 + 13*w**2 - 56*w**4 in the form m*w**3 + i*w**2 + s*w**4 + c + y*w and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271854 by -32.\nAnswer: -135927\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -70 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((2*sqrt(33))\/sqrt(11))*-2.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeevevv. Give prob of picking 3 e.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2 + (-7 - -6). Suppose -3*a - 3*v = -12, -c*v + 3 = a - 3. Let d = 18 + -19. What is the nearest to -1 in d, a, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156.5 + -177. Let b = 25.5 + f. Sort 29, -3\/5, b.\nAnswer: -3\/5, b, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 163, 7, -1\/8, 3\/8, 1 in ascending order.\nAnswer: -1\/8, 1\/7, 3\/8, 1, 7, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = 3*w - 12, -r = 4*w + 6. Let a be ((-24)\/(-4) - 5)\/(2\/r). Solve -2*i = 1 - a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195*p**5 - 219*p**2.\nAnswer: -11700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2075 divided by -2075\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 12:24 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -409 - -550. List the prime factors of u.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let n(w) = -d*w + 3*w - 3 - 3*w. Determine n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:47 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20858743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -11082798.\nAnswer: 221655.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5419 and 4?\nAnswer: 21676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1182\/4 - 0)\/((-27)\/(-18)). Suppose -5*g + q = -408, 0 = -3*g + 2*q + 45 + s. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 times -4\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 0.02. Let p = -0.4 + q. Let r be (-2)\/7 - (-26)\/(-7). What is the closest to 0.1 in 5, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5511 less than 5\/24438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 204*a**2 + 768*a.\nAnswer: 3*a*(a - 64)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -115, -259, -461, -721, -1039?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38218049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 - 6. Let b = w + -0.172. Let x = b - 0.488. What is x rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1053) + 1 + sqrt(39)\/(sqrt(3)*-2))*-4)**2.\nAnswer: 272*sqrt(13) + 15040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -220 and 6.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -73403754 to the nearest 10000.\nAnswer: -73400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + h - 45. Let j(f) = f**2 + f + 1. Determine -c(p) - j(p).\nAnswer: 2*p**2 - 2*p + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a5 (base 11) to base 2.\nAnswer: -1000011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, x: 5}. What is prob of sequence xs?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/43 and -1.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-2 - sqrt(243))*5 + ((-1 + sqrt(243))*-2)**2 + sqrt(243) - -2*(sqrt(243) + (1 + sqrt(243))*-5))*-2 + 2.\nAnswer: -1930 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 13*j**2 + 6*j**2 + 8*j**2 + 5*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/35 + (-52)\/(-14). Let t be 16\/5 - g\/20. Which is the nearest to 1? (a) 1 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + i**2 + i + 2. Let u(s) = 11*s**3 + 7*s**2 + 31*s + 22. Let k(b) = -5*q(b) - u(b). Find f, given that k(f) = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 32*r**2 + 31*r + 21. Let n(j) = -3*j**3 - 64*j**2 + 61*j + 42. Let t(o) = -3*n(o) + 7*p(o). What is the units digit of t(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158.8 - -158.8. What is the nearest to u in 1.2, -1\/2, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1918 = -213*m + 1277 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -145, -3, 0.1, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*m + 5, -4*d + 0*m - 4 = -3*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -95982 equal to -95987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9*f + 72. Suppose 1 = f*u - 209. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -35*w - 98. What is the nearest to -1 in -1\/3, w, -2, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*w - 195 - 69, 3*w - 83 = -z. Let j = z - 47. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18 + -23 + -5 + 13. Factor -c - 5\/2*c**2 + 0 - 2*c**h - 1\/2*c**4.\nAnswer: -c*(c + 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a*(a**0\/a)\/a*a*a)\/a*a)**(10\/7)*a**(-4)*a\/(a*a\/a**(2\/3))*((a*a**(6\/5)*a)\/(a\/((a*a**1\/a*a)\/a)))\/(a**(-6\/7)\/a*a**(2\/5)) assuming a is positive.\nAnswer: a**(484\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 889? (a) 5 (b) 2 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2 (c) 67 (d) -81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n, 2*l + n + 2008 = -0*n. Let w = 1492 + l. Is w a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16190*j*o**2 - 34*j + 90*o**2 - 50668*o wrt o.\nAnswer: 32380*j + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/((-11)\/(-264)). Suppose 0 = -2*q - i + p, 4*q = -q - 3*i + 19. What is the second derivative of -3*w + w**5 - w - 2*w - 25*w**q wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttztbtbzb. Give prob of sequence tzz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/2 + 258\/86. Let c be n + -3 + (-1488)\/(-42). Find b such that 132\/7*b**4 + 0 - 4*b**5 - 44\/7*b**3 - 72\/7*b - c*b**2 = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -58835.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5347832.15 + -5347153.150694. Let d = -679 + x. What is d rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20015*g**3 + 4*g**2 + 351*g wrt g.\nAnswer: 120090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m - 292*m - 977*m - 130*m - 276*m.\nAnswer: -1622*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5243 and 1064543?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -250 in decreasing order.\nAnswer: 5, -3, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10370 (base 12) in base 9?\nAnswer: 32133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 5\/(34400\/(-96277))?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s + 62*s + 28*s)*(21*s**3 - 10*s**3 + s**3).\nAnswer: 612*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 4, -10, 15, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 2, l: 4, b: 1, p: 7}. Give prob of sequence mlll.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 615480 and 115?\nAnswer: 615480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 3*u + 4*v, -54*u + 49*u + 205 = 5*v. Suppose -21*z = -20*z - 8. What is the highest common divisor of z and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 183974415 to the nearest one hundred thousand.\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30)\/(522\/(-783))*(-10)\/54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*v**2)*(-3 + 3 + v**3) + 0*v**5 + 5*v**5 - 2*v**5)*(3 - 2 - 3)*(2 - 1 - 2) - 271*v**4 + 271*v**4 + 5*v**5.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/105 - -254\/105. Suppose -3 - 3 = -2*r. Find the common denominator of o and r\/2*95\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/283 in 1\/3, -1\/2, -13\/7, -8, -2.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8 + 6 - 15*d + 3*d. List the prime factors of a(-4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35ab0 - -b3?\nAnswer: -359ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 27*z - 158. Let g be m(6). Let i(t) = -3*t**3 + 2*t**2 - 2*t + 2. Let u(h) = 16*h**3 - 11*h**2 + 11*h - 11. Give g*u(a) + 22*i(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k**2 - 10*k. Let h(w) = -4*w**2 - 3*w + 4*w**2 + 3*w**2. Let j = -2490 - -2492. Calculate j*r(s) - 7*h(s).\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/((-14)\/56)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3 - 3*q - 12*q - q**2 + 18*q. Suppose -2 = 3*z - 11. Let t be g(z). Solve -2*c - 9 = -5*u + 2*c, 0 = t*c + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + 2)*((2*f**2 - 2*f**3 - 2*f**2)*(-2*f**2 + 3*f**2 + 0*f**2) + 2*f**4 - 2*f**4 - f**5 + f**5 - 2*f**5 + 3*f**5 + 2*f**5 + f**5 - f**5).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7 and 25\/37.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13.3. Let r be (-1)\/(-5)*(1 + 1). Let z = -3.9 - 0.1. What is the closest to r in z, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2047713)\/(-966))\/(-59) - -36.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 4 - 4)*(0 - 2 + 0) - 62*x + 2172 - 2173 + 183*x to the form q*x + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156230 (base 7) in base 16?\nAnswer: b3e73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166790402 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.07442568 and -26.\nAnswer: -36.07442568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.5447 litres?\nAnswer: 16544.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 37, 63, 99, 145?\n\"Answer: 5*j**2 + j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 13. Let p be ((-336)\/(-40))\/((-1)\/(-15)). Let s be 17\/(-102) + 1101\/p. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l**2 + 14. Let p(y) = 36*y**2 + 48. Determine 16*m(x) - 5*p(x).\nAnswer: 12*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1)*(-5 + 7). Suppose -5*r = -a*r. Let u = 70.46 - 70.5. Is u at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 85*p**3\/3 - 127*p**2\/2 - 25. What is the second derivative of m(w) wrt w?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916000 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (3*(sqrt(684) + 2) - sqrt(684)))**2 - -5*(2 + sqrt(931)).\nAnswer: 251*sqrt(19) + 6202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*q + 80 = 0, 5*q = -3*s + 36 + 46. Calculate the lowest common multiple of s and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {y: 1, a: 5, k: 3}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrrrrhrrr. Give prob of picking 3 r and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.91130714*6.\nAnswer: -5.46784284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 118369034 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n + 423\/2*n**2 + 3\/4*n**4 - 1458 - 105\/4*n**3 = 0.\nAnswer: -3, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*h**2*k**2 - 346*h**2*k - 4*h**2 + 551274*h*k**2 - 5911*h*k wrt k.\nAnswer: -128*h**2 + 1102548*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8 - 208*u + 5.\nAnswer: -208*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5187, 5063, 4863, 4593, 4259?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21*(-1 + -1)*132\/(-72). Which is the fourth biggest value? (a) -0.4 (b) -3 (c) 1\/4 (d) t (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*i**3 - 173983*i**2 + 2*i + 7629291?\nAnswer: 132*i - 347966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/41466498 and 87\/2577014?\nAnswer: 456131478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvx when three letters picked without replacement from yggxxgxvgvgxxxggggv?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + -10 - 2)\/((-8)\/1780076) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/10693 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 1. Let y be m(-2). Let f be 17\/(-17) - 6\/(-2)*1. Let l(k) = -k**3 + 6*k**2 + 26*k + 12. Let o be l(9). Solve o*c - y*c = f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 + 177 - 146)*(3*l + l - 2*l)*(-2*l - 4*l + 5*l) + (13 - 1 - 7)*(0 + 0 + l**2).\nAnswer: -383*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - (-12)\/5. Let c be 13*v + -2 - 2. Suppose 0 = 2*l - 0*l - c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q**3 - 2*q**2 + 2*q - 1. Let h be m(1). Let d be 45\/54*(-1)\/h. Let n be ((-2)\/6)\/(17\/(-6)). Which is the smallest value? (a) -3 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*x**5 + 15*x**3 - 45*x**2 + 3*x - 3635?\nAnswer: -180*x**3 + 90*x - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*p + o - 4, -3*p = 2*o + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*w = -0*o + 5, -3*o - 5*w - 10 = 0. Let x be 1*3 + 3 + -6. Let n = 9 + x. Solve 0 = -j, -5*g - n + 4 = -o*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.189 and 0.35.\nAnswer: -0.06615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -19. Let i be 17\/5 - 6\/15. Suppose -3 = f - 2*q - 9, i*f - 43 = q. Calculate the least common multiple of f and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160055 (base 9) to base 5.\nAnswer: -11122330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11906 - -190407\/16. What is the common denominator of -119\/270 and p?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y + y. Let z(c) be the second derivative of 1\/15*c**4 + 0*c**2 - c - 1\/15*c**3 + 0 - 1\/50*c**y. Factor z(i).\nAnswer: -2*i*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let y(c) = -4601*c**3 + 886*c**2 + 7*c. Let m(f) = 7*j(f) + y(f). Find the third derivative of m(l) wrt l.\nAnswer: -27606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6546413.\nAnswer: 71, 92203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -14*w - 9. Let b be x(-6). Let t be (-94 + 0)*2\/4. Let p = t + b. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2.7, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 16. Let u be o(6). Suppose -9*v - 292 = -3*c - 8*v, -u*c + 387 = v. What is the tens digit of (26 + -22)*(0 + c\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjssssssjs. Give prob of sequence ss.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 12*q - 23*q + 47*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/42086 and -101\/70773348.\nAnswer: 778506828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 1, s: 1, g: 2, a: 3, k: 3}. What is prob of sequence as?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27887790 a multiple of 861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1442, 11146, 37442, 88610, 172930?\nAnswer: 298682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172.6105226 - -172.61. What is n rounded to 5 dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 330 - 329.9. Let i = -1019 - -1023. What is the nearest to b in 3\/2, 63, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*a + 51 = 585*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*q**4 - 2*n*q**3 - 4*n*q**2 - 19900*q**4 + 25*q**3 + 4013554*q**2 wrt q.\nAnswer: 24*n*q - 12*n - 477600*q + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10700 and 949945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 465*f - 728. What are the prime factors of s(31)?\nAnswer: 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82910880 divided by 18540.\nAnswer: 4472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 2*z + 16, -q - 3*z = -4. Suppose 9*j = 7*j + 4. Suppose -2*g = -j*v - 8, 2*v + 12 = 5*g - 20. Solve g*w - 4*w = q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + -1482\nAnswer: -1481.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 38\/3. Let v be (39\/15)\/1 - 2. What is the third smallest value in v, 3\/4, c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76506974?\nAnswer: 2, 1097, 34871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.9135578 years in centuries?\nAnswer: 0.009135578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1626 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w + 4*w + 14*w + 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-6\/7)*r**(3\/5))**(2\/65) assuming r is positive.\nAnswer: r**(122\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -10 - (0 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**2 - 226*l + 18. Let x be f(-11). Solve -x*m + 70*m - 56 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15913*d = 15932*d + 95 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*h**2 + 40944*h + 2155.\nAnswer: -(h - 2155)*(19*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 49. What is the smallest common multiple of q and 2 - ((4 - 2) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2 + 3. Solve 4 = -3*q + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -13 - 42\/20?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347970 is divided by 649.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 + -71. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1281422784?\nAnswer: 2, 3, 2393, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r. Let u(q) = 3469*q + 118. Give u(y(n)).\nAnswer: 45097*n + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -5*p - 30. Let n be ((-4)\/p)\/(2\/15). Suppose q = -2*a + 4, -3 = -4*a + 5*q + n. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - q - 5. Let p(x) = x**2 - 7*x - 4. Suppose 40 = z + 4*z. Let n be p(z). Is b(n) 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 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*159\nAnswer: 79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5 - -2 - -7) + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**8*t*t))**24 assuming t is positive.\nAnswer: t**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2030 = 4*s - 2*z, -z + 985 = 2*s + 4*z. Suppose 3*r + 2*r = -s. Is (-44)\/(-11)*r\/(-4) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*n + n**2 - 45*n + 66*n - 100*n**6 wrt n.\nAnswer: -12000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*n - 245*n - 6 = 0. List the prime factors of (4\/(-3))\/(n - (-54560)\/9096).\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2324 and 10?\nAnswer: 11620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 43 = 72 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukwzm. Give prob of sequence zuw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -19a60?\nAnswer: 19a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4338.11982 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(1\/3). Let l = 265 + -180. Suppose -l = n*g - 7*g. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(0 - 1\/(-3)). Suppose 0 = 2*o + g*o - 105. Solve 36 = -4*w + 2*y + 2*y, -y = -4*w - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z - 2*o + 18, -5*z - 4*o = -48. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = -2*l - 2*s, 4 = 2*s. Find the second derivative of -l*t - t**3 + 3*t**3 + 0*t**2 + 0*t**2 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 + (-6 + 5 + 3)*(0 + 1 + 0) + (-3 + 2 + 2)*(1 + 6 - 3))*(188 - 13*m**2 - 188)*(-m + 2*m - 4*m).\nAnswer: 195*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -181079116 divided by -1\nAnswer: 181079116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200824739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -29*s**2 + 1795*s - 198. Determine v(61).\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12644899 and 665521?\nAnswer: 12644899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -1019, -1185, -1417?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/11858 and -41\/1452.\nAnswer: 71148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.9 + 16. Which is the closest to m? (a) 4 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**5 - h**5 + (-3 + 1 + 5)*(-2*h**5 + 0*h**5 + 4*h**5).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1836 and 4760.\nAnswer: 128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-1 - (-3)\/(-2)). Suppose 3*y - m + 0*m + n = 0, 5 = -3*y - 4*m. Is 1 + (-3 - (-292 + y)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -3. Let f be 300\/51 + (-6)\/(-51). Suppose 0 = 16*g - 19*g - f. Sort -5, u, g in ascending order.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 5*c + 3. Let o(f) = -2 + 26*f**2 - 2*f - 12*f**2 - 13*f**2. Let q(p) = 5*o(p) + 2*x(p). What is the derivative of q(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-4))\/(66\/(-26928)*-51)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 275 - 180. Let f = u - -11. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u**(1\/3)\/u)*u)\/u*u*u)\/u*u*u\/(u*(u*u**2)\/u*u)*u**(1\/3)\/(u\/u**(-1\/3)) assuming u is positive.\nAnswer: u**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5633 - -4?\nAnswer: 5637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/212 - 33*(-3)\/(-180)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150443.\nAnswer: 23, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 40 - 17*x - 21*x - 3*x.\nAnswer: (x - 40)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*p. Is 4 a factor of p + (25*14)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22289399.00103 + -22289252. Let h = 147 - q. What is h rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -2.6, 0.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + h + 75, -2*h + 33 = n + 1. Suppose 4*j - 5 - 3 = 0, 5*o - 2*j - n = 0. Solve 0 = o*f - 3*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11034*z + 229645 + 388791 = 146684 - 708886 for z.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103003980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021200 + -101000?\nAnswer: -1122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3328*-13*((-4)\/(-7))\/(1200\/280).\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 7*n - 5. What is y(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1263 in -1, -14\/9, 1, 15, -0.2?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3453 = 28*i + 124*i - 33*i - 1783 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63826 + -31447. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-6) + 1\/(-2). Let n(y) = -i*y**2 + 0 - 11*y**2 + 3*y + 13*y**2 - 6. Give n(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/607 and 47\/607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + (4 - -6 - 11) + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 33*z**2 + 46*z + 86. Is 28 a factor of m(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 27 - (336\/(-20))\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 3*h - 3*h + (0*h + h - 2*h)*(0*h + 3*h - h) - 2 + h**2 + 2 - 6*h**2 + 1 + 4*h**2 + 3.\nAnswer: -2*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(405)*-3*5)**2) + (1*(-2*sqrt(405) - sqrt(405) - sqrt(405)) - (sqrt(405) + -2 + sqrt(405))*-6) + 3.\nAnswer: -91135 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -11. Let n be 457 + (-2 - -6 - f). Let w = n - 259. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**8\/280 - 4*d**7\/175 - 3*d**6\/50 + 2*d**5\/25 + d**4\/4 - 5*d**2 - 2*d. Determine k so that c(k) = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 6*s**2 + 1\/4*s**4 + 0 - 2*s**3 - 6*s. Factor z(l).\nAnswer: 3*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3407474494 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 6*l**3 + 3*l**3 + 16*l - 6*l.\nAnswer: 7*l**3 + 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1066 divide 1412411624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -3, 194, 4, 27, -1 in descending order.\nAnswer: 194, 27, 12, 4, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)*4 + 32 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1468244708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - d + 35497, 0 = 2*r - 154*d + 152*d - 17736. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 9*v**2 + 20*v - 37. What is r(8)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-4414)\/132. Let f = s + -8\/11. What is the common denominator of f and 19*2\/(-160) + (-8)\/40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*u - 53*u + 80*u)*(-180 - 398 - 155 - 707 + 40 + 114).\nAnswer: -115740*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.03, -8\/5, 148, 0.12 in descending order.\nAnswer: 148, 0.12, 0.03, -1, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5627 + 6131. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -70. Let y(x) = -256*x**b + 2*x + 259*x**2 - 2*x. Let w(r) = -2*r**2. Calculate w(y(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1)\/sqrt(7) - sqrt(187)\/(sqrt(33)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 0)*-4 + sqrt(448))**2*-4 + 2.\nAnswer: -16126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 29. Suppose -2*g + 3*g + 3*s - 13 = 0, -f*g + 4*s = -36. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1371527 divided by -4.\nAnswer: 1371527\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093 is divided by 1962?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 287563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -7 - 3)*-1*491. Let j = 56 - i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:26 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -4, 2*l - 2*j = 486. Let g = 300 - l. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287045995?\nAnswer: 5, 57409199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-2 - 15\/(-6)). Let z = 4 - f. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 952 + 888 = -62*k, 2 = -3*k - 5*q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 21 - 2 - 376\/(-25).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/3537221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 2336*t - 405*t + 57*t + 182*t - 1.\nAnswer: t**2 - 2502*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8334, 8325, 8310, 8289?\nAnswer: 8262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:59 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 12 = 0. Let i(u) = 6*u - 101. Let g be i(23). Let h = z + g. What is the highest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-15)\/(-10) + 9. Solve -2*k = -5 + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3284 and -9\/4?\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 195*a**2 - 5*a + 8. Let c(p) = 65*p**2 - 2*p + 3. Let z(u) = -8*c(u) + 3*o(u). Let w be z(-1). What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 12. Suppose 0 = -3*l + 3*g + 147, -l - h*g = 4*l - 253. Let n = l + -35. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.69 + -4.29. Let w(p) be the third derivative of -p**4\/24 - p**3 - 2*p**2. Let v be w(-6). Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15096128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*l + 75. What is the lowest common multiple of 39 and l?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-2\/83)\/(j*j**2)**(-5\/2) assuming j is positive.\nAnswer: j**(3743\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0575 + -4.0575. Which is the second biggest value? (a) -27 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - h = 1, 0 = -2*b - h - 24 + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**5 - t**5 + 2*t**5)*(-1 + 1 - 2) + 2*t + t**5 - 2*t + 29040*t**3 + 4*t**5 - 29040*t**3 - 8*t**4 - 2 + (2*t**4 + t**4 - t**4)*(-3 + 3 + 2*t).\nAnswer: 7*t**5 - 8*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5 - 4*s + 125 - 73. Let k be h(11). Solve -k*o + 4 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67528*y + 3712*y**2 + 67528*y)*(-3*y**3 - 2*y**3 + 3*y**3).\nAnswer: -7424*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3\/7 (c) -10 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7856 + 417*d**2 + 15705 - 7851 to the form z*d**2 + h*d + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/((-3)\/3). Suppose -m - 2*m = z. Solve k + 3 = -2*b, 4*k = 4*b - m*b - 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**3\/3 + 7741*t**2\/3 - 5668*t + 972 = 0 for t.\nAnswer: -486, 3\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 4.6. Let y = 0.58 - 0.18. What is the third smallest value in y, 5, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let x be h(-3). Let y be (6 - 144\/27)*(-3)\/4. Which is the nearest to 0.2? (a) y (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 4)*(7*p + 8199*p + 34 + 57 - 91) to j + d*p and give d.\nAnswer: -24618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 4. Let w(c) = 123997*c**2 - c - 1. What is r(w(i))?\nAnswer: 991976*i**2 - 8*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-20))\/(1\/(-2)). Let d be (3*-2)\/(-4 + 2). Let q be 46\/184 - 1\/(-28). What is the nearest to q in c, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465348.\nAnswer: 2, 3, 13, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/252*9*(-1 - 737\/(-781))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -739 + 490763?\nAnswer: 490025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 0, 3*g - 2*g - 3 = -2*w. Suppose y + w = 2. Calculate the remainder when y is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 20*r**5 + 9135*r**4 + 6420*r**3 - 192235*r**2 - 326340*r - 136800 = 0?\nAnswer: -456, -4, -1, -3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w\/w**(-3\/5))*w**5*w)\/(w**0)**(1\/28)*(w**(3\/2)*(w**(-6)\/w)\/w)**(-2\/15) assuming w is positive.\nAnswer: w**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 17 + 0*l**2 + 11\/3*l**3 + 0*l. Let p(m) = 4*m. Calculate h(p(d)).\nAnswer: 176*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 (base 14) in base 13?\nAnswer: 146c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*z + 20*z - 3*t - 25, -3*z - 5*t - 19 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/(92\/40 - 2). Suppose l*o - 6*o + 40 = 4*k, -10 = 2*o - 4*k. Put -2, o, -10, 1 in decreasing order.\nAnswer: o, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlofohhaah. What is prob of picking 1 l and 2 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 963*j + 2908. Let w be a(3). Let z = -7\/985 + -1457\/16745. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11094 + 14*j + 5556 + 5538.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 214020 divided by 3690?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 3, m: 3, c: 9, o: 1}. What is prob of sequence oh?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4350 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 53\/270 and 101\/102.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 42*g - 58. What is the hundreds digit of y(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:46 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11807*l - 11807*l - 37042*l**2.\nAnswer: -37042*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 6:18 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 31. What are the prime factors of q(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255792 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*(w + 1 - 1) + 30*w - 146 + 79 + 75.\nAnswer: 34*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*h + 0 - h**5 + 23\/4*h**2 - 15*h**3 + 31\/4*h**4 = 0. What is h?\nAnswer: -1\/4, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -569\/804 at most as big as 0.88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 31 = -4. Suppose 2*s - 50 = c*s. Let w = 0 - s. What is the smallest common multiple of 9 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5767\/3 + 1923. Find w such that 0 - 1\/3*w**3 - b*w**2 - 1\/3*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 3 + 3 - -23. Let l(r) = 45 - 8 - c - 11 + 2*r. Calculate l(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i + 62. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:51 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125250 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*n + 11 = 0, -53*y = -56*y - 2*n + 26. Solve -4 = -y*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19869*-64\nAnswer: 1271616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -0.8, -2\/9, -5\/2, -0.55, -1\/17?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 6*n**2 - 10*n**2 + 28*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 + 6 = 0. Suppose 0 = a + m, 2*m = 2*a + 1 + r. Let j = a - 0. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x**(-6\/7))\/(x**(-1\/3))**(1\/27)*x*(x**(1\/9)\/x)\/x*x**(1\/4)*x**(-2\/19)\/x*x*x*x**(-6\/11)\/x assuming x is positive.\nAnswer: x**(-1011733\/474012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1079659525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -45456?\nAnswer: -45456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(243) + sqrt(243) + -3)**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhhhehhhhhhh. What is prob of picking 4 h?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52721\/4 + -13181. Which is the fifth biggest value? (a) 4\/3 (b) -21 (c) -0.4 (d) u (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**5\/30 + 3*c**2\/2 + 4. Let i(x) be the second derivative of r(x). Let u(h) = 5*h**2 - h**2 - 2*h**2. Give i(u(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356732 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 879223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17271)\/30 - (-12)\/(540\/9). Let v = j - -577. Suppose 0*l + v*l**2 + 0 - 3\/2*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/(j**(4\/9)*j)*(j\/j**(-5))**(4\/11) assuming j is positive.\nAnswer: j**(-323\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k + 2*k)*(-45*k**3 - 38*k**3 + 21*k**3)*(2 - 2 - 2*k).\nAnswer: 744*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69*(-4)\/12 + (-16736)\/(-736).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -702, -1057, -1412?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2075218230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from {g: 8, k: 6, q: 3}?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 1, f: 1}. Give prob of picking 1 p and 1 f.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/36 - (1 + -4). Suppose -340*r = 1173*r. Suppose 0*i**3 + 0*i + 0 + 5\/4*i**5 + r*i**2 - o*i**4 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/((-239400)\/(-500))*(-2 + 23*(-3)\/(-30))?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -145. Which is the second biggest value? (a) n (b) -4 (c) 3 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103212 - 102?\nAnswer: 103110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + (-35)\/(-15). What is the third derivative of 6*v**4 - 3*v**4 - 2*v**h + 0*v**2 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*c - 5999103 + 2008480. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 5 (c) -1\/4 (d) 4 (e) -0.053 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**4 + 1. Let q(o) = -2 - 1 + 2. Let i = -14 + 11. Let j(d) = i*q(d) - 2*c(d). What is the derivative of j(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 2*z**2 - 3*z**2. Let d = 156 + -150. Let p(o) = d*o**2 - 4*o**2 - 693*o + 693*o. Calculate p(c(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187 - 211 - 109 + 165 - 126 - 2085*v**2 + 3*v wrt v.\nAnswer: -4170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) 0 (b) 5\/2 (c) 1\/27 (d) -13\/3 (e) -0.164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 419090753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31283745 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 685*q**3\/4 - 171*q**2\/4.\nAnswer: -q**2*(q + 171)*(4*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnbt when four letters picked without replacement from tbtttnbtttnnnt.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -941, -3110, -7291, -14144, -24329, -38506?\nAnswer: -57335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 36*n**2 + 18665*n - 66298. Determine w(-522).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - 2*j)*(j + 5*j - 4*j) + 105*j + 13*j**2 - 105*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + (-5*((sqrt(396) - -3*sqrt(396)) + 0) + -2)**2*5)*-4.\nAnswer: -3168082 - 9600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 + 375?\nAnswer: 374.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgalkllgaallgkallabb. What is prob of sequence gl?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81237037.\nAnswer: 7, 827, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 3771279?\nAnswer: -263989.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26206291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -98, -94, -88, -80?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/10 - 2225533*p**2\/10 + 247649634151*p\/2 + 1238250396289\/10 = 0?\nAnswer: -1, 1112767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*5*(-3)\/(-14))\/((-102616)\/359156)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1568) + sqrt(32)) + sqrt(32) + 5.\nAnswer: -124*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24 + -19 - (0 + 1 + -5). Let g(f) = 18*f**3 - 9*f**2 + 10*f - 43. Let r be g(k). What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 73*y - 1191. Suppose 0 = 4*k - 5*k + 129. Calculate the least common multiple of k and v(-25).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2470551.07 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 2, l: 4, i: 1, y: 3}. Give prob of sequence ry.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/2))**(11\/7)\/(b*b\/b**(-9)*b*(b*b**(-3)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3107 and -0.26.\nAnswer: 3106.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y - 3*c - 5 = 0, -2*y + c - 13 = 0. Suppose -i - 18 = 2*i. What is the units digit of 27\/i*y\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 - 9*h**2 - 5*h - 11. Let y(j) = 4*j**3 - 7*j**2 - 4*j - 8. Let g(u) = -10*c(u) + 13*y(u). Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*m = -51, -2*m = 4*g + 2*m - 44. Let h = 607 - 69. Suppose -187 = g*f - h. Calculate the remainder when 154 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q)*(2*q**2 + 2*q**2 - 3*q**2) - 3*q**3 - 2*q**3 + 6*q**3 + (5 - 5 - 4*q)*(-2*q**2 + 2*q - 2*q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*v - 1 = -0*p, 0 = 4*p - 3*v - 42. Let o(u) = -u**2 + 7*u + 19. Let l be o(p). Solve 0 = 2*h + 7 - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w**2 + w - 2. Let d be z(-2). Let l = d - -11. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*m**3 - 144*m**3 + 67*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w**2)*(0*w**2 + 0*w**2 + w**2) + 5*w**4 - 2*w**4 + 2*w**4 + (0*w + 0*w + w**3)*(-w + 2 - 2).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29304 + 103.\nAnswer: -29201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdj when three letters picked without replacement from {d: 1, j: 1, k: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/46 - (-452502022)\/782 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**4\/30 + 14*d**3\/45 + 14*d**2\/15 + 16*d\/15 - 353. Factor w(v).\nAnswer: 2*(v + 1)*(v + 2)*(v + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -54, -3, 1\/2, 5, 4\/7, -9\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001189028 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*z**3 - z**2 + 9*z**3 - 4 + 2 + 56*z**3 - 11*z**3 to the form v*z**2 + t + q*z + d*z**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 23 + -44 + 16 - (-1 + 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 + 4 = 0. Let g be (744\/36)\/(a\/6). Let n = g - -35. What is the third smallest value in 0, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-6*q**2 + 7*q**2 + 4*q - 2*q**2) + q**2 + 6*q**2 - 4*q**2.\nAnswer: 4*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/(22\/(1540\/(-42)))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 6924\nAnswer: 200796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/15)\/(-6))\/((-8)\/30)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101559*s = 101575*s + 48. Let v(x) = -2*x**3 + 2*x**2 + 15*x - 1. Let f(k) = -3*k**3 + 3*k**2 + 16*k - 1. Calculate s*f(n) + 4*v(n).\nAnswer: n**3 - n**2 + 12*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 1.6, 46, 6\/11, 0.5 in descending order.\nAnswer: 46, 2, 1.6, 6\/11, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/36 - (-3 + -1). Let w = 41 - 40.62. Let t = w + -0.08. Which is the nearest to -1\/3? (a) t (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2169*y + 831. Let b(m) = -2176*m + 833. Let h(g) = -2*b(g) + 3*d(g). What is the derivative of h(l) wrt l?\nAnswer: -2155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -40*o**2 - 11*o - 19. Let s(a) = -8*a**2 - 2*a - 4. Let c(x) = 2*b(x) - 11*s(x). Differentiate c(w) with respect to w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 9*n - 534. What is the highest common factor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.71343 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 205485004, 205485005, 205485006?\n\"Answer: o + 205485003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j + 10. Let v be m(-5). Solve -v*x = -3*b + 4*b, 3*b + 16 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 3*t**4 + t**4)*(0*t - t - t + (6 - 2 - 2)*(t + 0*t - 2*t) + 2*t + 2*t - 6*t + 4 - 4 - 2*t) + 3*t**2 + 2*t**5 - 2*t**2 + 0*t**2.\nAnswer: -22*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (2 - 8 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194254 - 196360 = -26*h for h.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1\/20*z**5 + 12*z - 1\/4*z**4 + 0 + 1\/2*z**3 - 1\/2*z**2. Calculate v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 9, 1\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56868695, 113737390, 170606085, 227474780, 284343475, 341212170?\n\"Answer: 56868695*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + 2*l**5 + 0*l**3 + 12*l**5 - 7*l**5 - 18*l**5 + (-2*l + 0 + 0)*(l**4 - l**4 + l**4) - 4*l**2 + 4*l**2 - l**5 - 2*l**5 + 2*l**5 - 2*l**5.\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/81 and -73\/669.\nAnswer: 18063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4\/9 + 6116*n**3\/3 + 18296*n**2\/9 - 73376*n\/3 = 0 for n.\nAnswer: -4586, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y. Suppose -4*h + 5*m + 61 = y, -3*m = -2*m + 1. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 90 = 43. What are the prime factors of g?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 20740 = 4*h - 20680, 4*x = -2*h - 62 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5\/5 - 316*w**4\/5 - 39204*w**3\/5 - 792836*w**2\/5 + 832352*w\/5 = 0. Calculate w.\nAnswer: -37, 0, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 159. Let n = 153 - t. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8 and 157\/3080?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 21861 and 26077 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*m = c - 26, 32 = 4*c - 4*m. Let k be ((-27)\/5)\/(c\/(-20)). What is the remainder when 256\/k - 10\/45 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6932189 divided by -3.\nAnswer: -6932189\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - f?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + m = 2*m - 9, -2*u = m - 3. Let v be (-96)\/(-8) + (u - -5). Suppose -v*z - 15 = -19*z. Sort z, 3, 4, 1.\nAnswer: 1, 3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b2 (base 15) to base 3\nAnswer: 20012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.31 - 0.31. Sort a, 1\/4, -6, 2\/17 in ascending order.\nAnswer: -6, 2\/17, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62 - (-1 + 3 - 1). Let r = g - 54. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 - 0.3. Let m = -1177\/129 + 25\/86. Let s = m - -277\/30. What is the nearest to s in c, 0.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 - 34130?\nAnswer: -34030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t + 23. Let w be a(-2). What are the prime factors of (-280)\/6*(w + 13 + -29)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w - 2 + 2 - 68*w to the form u + f*w and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**3 - 19441*q**2 - 13890*q.\nAnswer: q*(q - 2778)*(7*q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 369 - 3807. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 13*b + 14. Suppose 2*c - c + 14 = 0. Let j be g(c). Suppose -3*h + 572 = -j. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)*(u\/(u\/(u**(1\/13)\/u*u*u)))\/u)**(-1\/8)\/((u**4\/u)\/u**(-2\/5))**(-21) assuming u is positive.\nAnswer: u**(631221\/8840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 325, 490, 655?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056303637 to the power of 1\/3, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -283*j + 280*j for j.\nAnswer: -3","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: Let c(m) = m + 3*m + m. Let q = -21 + 35. Calculate the remainder when q is divided by c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 13*h + 12*h = 13, -5*h = -4*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -42099791\nAnswer: -4\/42099791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -9. Let s = q - -7. Let c(y) = y - y**s - y. Let k(h) = 3*h**2. Calculate c(k(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - d + 886 - 878, -23*d = -a - 116 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 25) + (0 + 0 + -2 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.355? (a) 5 (b) 4 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9370687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1285*x. Let n(a) = -550*a**2. Give n(r(s)).\nAnswer: -908173750*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 752668743 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - d = d - 458, -3*d = 2*z - 223. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 + -1010111101?\nAnswer: -1011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uluu when four letters picked without replacement from tltttuclhutlu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -1000101101011?\nAnswer: -1000101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 58, 83?\n\"Answer: 25*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143472097.\nAnswer: 19, 7551163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epyeepevcc. What is prob of sequence ev?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 384579\nAnswer: 1\/384579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -5*n**3\/6 + 150*n**2 + 4459*n. Give d(57).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15695526 + 78.32773474. Let g = -42.48412 + u. Let a = 36 - g. What is a rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1625187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = -2*a. Let k = a - 1. Let b = k + 37. Round b to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*h + 50 = 310*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*o**5 - 9792*g*o**3 - 2*g*o**2 + g*o + 908*g - 1560*o**3 - 188*o**2 - 24*o + 3 wrt o?\nAnswer: -240*g*o**2 - 58752*g - 9360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, -1, -278 in decreasing order.\nAnswer: 37, 3, -1, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 4*d - 8. Let t be g(-6). Let r = -4 + t. Suppose -3*m - 28 = -5*i + 4*i, 3*i + 5*m - 14 = r. Calculate the remainder when 25 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -150*v + 1. Suppose -3*s + 5*w + 12 = 0, 0 = -2*s + 3*s - w - 2. What are the prime factors of h(s)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r**2)*(-86 - 37 + 167) + 32*r + 3*r**2 - 32*r.\nAnswer: -85*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let x(w) = -w**3 - 16*w**2 - 18*w + 141. Let l be x(-14). Which is the biggest value? (a) -0.2 (b) t (c) -12 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -593789\/6424 - -7062\/73. Let u = d + -33\/8. What is the nearest to 0 in 1\/8, u, 1.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 38 - 22 = 0. Suppose -4 = -2*y - 10*h + 7*h, -k*y + 4 = h. Solve y*p = -0*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8575750, -8575749, -8575748, -8575747, -8575746?\n\"Answer: j - 8575751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/12210*66)\/((-2)\/4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 255, 382, 509?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/8 + 18*a**2 + 288*a + 1536 = 0. Calculate a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, n: 2, q: 4}. Give prob of sequence nbqn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:49 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864830 divided by 5?\nAnswer: 372966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 20.7. Let y = -26 - -9.2. Let m = y - -18.8. What is the second smallest value in 0.2, s, m, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d - 19. Let n(s) = -2*s. Let b(x) = -4*n(x) + p(x). Let z(o) = -o + 10. Give 3*b(t) + 5*z(t).\nAnswer: t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 4, j: 5}. Give prob of sequence jwlw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8483244.0323283 less than 0.3?\nAnswer: -8483243.7323283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-44)\/24 + 3\/(-18). Suppose 3*z - 5*k - 40 = 2*z, 0 = -z - 3*k + 32. Let a = z + -17. Calculate the greatest common divisor of a and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4400, -4386, -4372, -4358?\n\"Answer: 14*b - 4414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhd when three letters picked without replacement from rddddmuhdu.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 + 6*c - 5. Let j be h(4). Suppose 0 = 4*d - j - 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222200 (base 3) in base 4?\nAnswer: 231123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/467790 and 83\/1860.\nAnswer: 935580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -54*w**2 + 6517*w - 19. Let k(d) = -22*d**2 + 3258*d - 8. Determine -2*b(v) + 5*k(v).\nAnswer: -2*v**2 + 3256*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -34, -58, -82, -106?\n\"Answer: -24*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2621, 2618, 2615, 2612, 2609?\nAnswer: 2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.098.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389885199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.5 and -39863.\nAnswer: -39858.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:03 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 3884, 2, -7\/5, 20, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3157 + 3172. What is the highest common divisor of 114 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -48. Suppose a + 0 = 3*r. Suppose -5*s = -3*w + r*w - 15, 0 = -4*s - 4*w. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 19 = -5*l, -3*l + 5*w + 30 - 9 = 0. Let d(o) = 5*o**l - 4*o - 11*o**2 + 7*o**2 - 2*o**2 - 2. Let y be d(-1). Put y, 0, 25 in descending order.\nAnswer: 25, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 - 14*l + 7. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11124*b**3*n + 469*b**3 + 2*b**2*n - 23*b**2 + 18216*n wrt b.\nAnswer: 66744*n + 2814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llguluclguugulgg. Give prob of picking 1 c and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 108*w - 138. Let b(j) = 160*j - 227. Let g(c) = 5*b(c) - 7*l(c). Give g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -4 - 5 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468))**2*-6 + sqrt(1053) + -1 - (sqrt(637)*-1 + -1 - (sqrt(637) + (sqrt(637) - -4*(sqrt(637) - -1*sqrt(637)) - sqrt(637)))**2).\nAnswer: 16*sqrt(13) + 48789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 27 - 3 = 0. Suppose 11 = y - 0*y. Let a = 22 - y. Calculate the lowest common multiple of a and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19384426, 19384411, 19384370, 19384291, 19384162, 19383971, 19383706?\nAnswer: 19383355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3146\/55 + -10 - (-17)\/(2125\/(-150)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -1)*3*(-3)\/(-15). Suppose n*o = 5*h - 0*o - 974, -4*h + 3*o = -781. List the prime factors of h.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*h + a, 3*h - 5*a + 3 = -3*a. Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7468 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 1. Let w(d) = -d - 4. Let a be w(-6). Suppose 163*c - 1970 = 158*c. Let m(g) = -789*g + 396*g + c*g. What is a*y(o) - 5*m(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -205935.53286 plus 12?\nAnswer: -205923.53286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/405*(-30)\/50?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let t be q(1). Let g(r) = r**2 - r + 2. Let z be g(t). Suppose 0 = 4*p + 5 - 13. Solve z*c = p - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 13*k - 1. Let z be 18\/(3 + (-1 - 0)). Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31012, 31055, 31098, 31141, 31184?\nAnswer: 31227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, -0.3, 5, 1749, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.4722cm to nanometers.\nAnswer: 7824722000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a - 21. Let w = -15 - -90. What is the remainder when w is divided by i(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z + 230 + 5 = 0. Let j be 8\/(-6)*(-1 - 8). Solve k - 6 = -z*x - 24, -j = 2*x - 2*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 710, 1423, 2136, 2849?\n\"Answer: 713*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 + 3*f**2 + 4*f + 2. Let q be v(6). Suppose -q*a = a - 30. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 169145170 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-176))\/(24\/(-48)*8013\/(-804) + -5)\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d - 2*g + 4*g, 5*d - 20 = -3*g. Suppose -1186 = -2*j - 3*u, -j = -d*u + 6*u - 595. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)*-5 - (sqrt(72)*-1 + sqrt(72))*1)\/(sqrt(400) - (sqrt(400)*-2 - sqrt(400))*4).\nAnswer: -3*sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19212.247 at most as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 88 = -2*b, 111 = 3*b + 2*j - 43. What is the lowest common multiple of 66 and b?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -0.038, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65521765 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1.6. Let s = -3.7 + r. Let p = s + 0.0983. Round p to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841297786 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 11\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u + u)*(5 - 3 + 2)*((4 - 4 + 3*u)*(0 - 3 + 1) + (6 - 3 - 4)*(3*u - 8*u + 3*u) + 3*u + u - 5*u)*(7 - 1 + 4).\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 25150*u - 175. Let c(x) = 571*x - 4. Let v(z) = 175*c(z) - 4*l(z). Let m(a) = -2*a. Give m(v(k)).\nAnswer: 1350*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*o**2 + 173*o**2 - 1539*o**2.\nAnswer: -1772*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -26\/5*m + 4 + 4\/5*m**2 + 2\/5*m**3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 103 = -7. Suppose -3*u + 3*s = -8*u + 110, 88 = 4*u + 4*s. Calculate the highest common divisor of i and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*h + 4 + 43 - 43.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.302 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575173 is divided by 1882.\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:53 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/19)*k**(-1\/7))\/(((k\/(k*(k\/k**3)\/k*k*k))\/k)\/k)**21 assuming k is positive.\nAnswer: k**(2760\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.2, 4, -6853, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.54 + 5.4.\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*((-852)\/(-360))\/71?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(10\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1687 - -2?\nAnswer: -1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/r*r)**(-45)*(r\/(r*r**0*r))**16)**(-1\/14) assuming r is positive.\nAnswer: r**(109\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-861)\/42 - -18)*(-4)\/(-10). Let g = -13 + 13.18. Let c = 0.3 - g. What is the smallest value in c, -4, q, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 + 46*o + 13. Let z be -46*11\/44 - (16\/4)\/(-8). Calculate c(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(22800\/(-45))*13\/((-78)\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-302390)\/(-25) + 4\/10 - 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 2857 = 1523. Suppose 3*j + 5*v - p = 10*v, -291 = -2*j + 3*v. Let b = -138 + j. Solve b*i = -t - 4, 1 = -i - 0*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let v be ((-2)\/6)\/(2 + (-39)\/18). Suppose -j*n = v*n - 85. Calculate the remainder when 67 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 2*k**2 - k - 2. Let n(i) = -2*i**2 + i + 3. Give 2*n(c) + 3*y(c).\nAnswer: -3*c**3 + 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - 10\/15. What are the prime factors of a - (-12 - (1 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*r - 9*r + 5*r + 2 - 2*r - 2 + (3 + 2 - 3)*(-2 + 2 - 2*r) + (0 - 4 + 2)*(6*r + 0*r + 0*r) as w + o*r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 164?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3812 is divided by 3803.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*v - 36 = 0, 469*y - 235*y + 4*v = 234*y + 12 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 1514991*o**2 + 3029972*o**2 + 4 - 4 - 1514983*o**2 + 0*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 20 = c - 0*c, -2*q + 63 = -3*c. Let u = 18 + c. Let z(g) = g**2 + 5*g - 2. Let p be z(u). Let l(w) = 2*w**3 - 2*w**2 - 3*w. Calculate l(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 198. What is o(-19)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 2*f**2 + 2*f - 6. Let v(a) = a**3 - a**2 - 2*a - 3. Determine -v(s) - x(s).\nAnswer: -5*s**3 - s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 - 546 = 9*s + 12*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -13. Let y(d) = d**3 + 4*d**2 - 1. Let x be y(-3). What is the remainder when (28 - -1) + 4\/(x\/(-6)) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u + 47. Suppose -2*z = -4*d + 3*z + 48, 3*z = -5*d + 60. What is the remainder when n(0) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/4 + 9972635*x**2\/4 + 2493160*x.\nAnswer: -5*x*(x - 1994528)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133\/9 + 275\/18. Which is the nearest to 629? (a) 0.1 (b) 2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10333, 20636, 30935, 41230?\n\"Answer: -2*g**2 + 10309*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010010111011 (base 2) in base 4?\nAnswer: -11102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6)*-2 + 3. Suppose -n*t = t + 6. What is the third biggest value in 0.3, 0.06, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3710309.1 take away 0.23?\nAnswer: -3710309.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.391 - 42.391. Let f be (-27)\/(-84) + 6*8\/(-84). What is the third biggest value in f, g, 4, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 5 = 3*m. What is the greatest common divisor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:34 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*1)\/(3*(-3)\/18). Is 3 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*c - 91. Let w be 466\/13 - 4\/c. Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20778611 to the nearest integer?\nAnswer: 4558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t - 2. Let j be l(-2). Suppose j = -4*k - 4*h - 8, -3*k + h = 15. What are the prime factors of (k\/(-5))\/(4\/20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 824.926994 to 0 dps.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3. Let h(p) = 82 - 155 + 73 + 28*p**3. Calculate -2*h(j) + 9*o(j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -281 + 270. Let h(m) = -11*m**2 - 2*m + 2. Let q(z) = z**2 - 4*z - 62. Let t be q(-6). Let j(i) = -i**3 + 56*i**2 + 11*i - 11. What is o*h(u) + t*j(u)?\nAnswer: 2*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*y = -405*y - 21366 + 53387 for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3586 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 2.71\nAnswer: -51.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 508 + 1692. Is c a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*y + 6*y. Suppose 5*x - 165 = -5*h - 15, -y*h + 3*x = -134. Suppose -h*d + 36*d = 3356. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1456.91 - -1457. What is the second biggest value in o, -2, -6, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 16, 0*y = -3*y - 4*z + 25. Suppose -9 = -y*w - 0. Let q(a) = 5*a - 3. List the prime factors of q(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4 + 0*j + 17 - 20\/3*j**3 + 8*j**2. Suppose q(m) = 0. What is m?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 15 = -3*n + 5, -4*n + 2*s = -22. What is the remainder when 64 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001610544322 rounded to five decimal places?\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = 6*v. Suppose -64 = -v*y + 4*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8440147\/2185956 - 2\/60721. Find the common denominator of o and 16\/681.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = -k + 5*g + 30, k = -g + 46. Suppose -4*w + 15 + 5 = 0. Suppose w*y - 52 + 2 = 0. Calculate the greatest common factor of k and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*i = 125*i + x - 18, -3*i + 27 = 3*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h. Let t(n) = -n. Let w(a) = 3*k(a) - 21*t(a). Let o(x) = x. Calculate w(o(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37608, -75197, -112798, -150411, -188036, -225673, -263322?\n\"Answer: -6*w**2 - 37571*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/3 + y**4 + 440*y**3\/3 - 148*y**2 - 880*y\/3 = 0.\nAnswer: -20, -1, 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - -20535?\nAnswer: 20574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*x**3 - 140*x**3 + 274*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440673993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**4 + 89685*h**3 + 667087893*h**2 - 47822904213*h - 48489902424 = 0.\nAnswer: -14983, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -4. Suppose 0 = 12*v - 8*v - 48. Calculate the remainder when (-515)\/(-9) - n\/(-18) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.265 - -3.265. Let a = -89.7 - -87.7. Sort a, r, 0.26.\nAnswer: a, 0.26, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f**3*x**3 + 23*f**3*x - 3*f**3 - 1705*f*x**2 - 2*x + 1 wrt x?\nAnswer: -48*f**3*x - 3410*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r. Let j be l(2). Suppose j*v = 13 - 1. Let b be (-2 - 20\/(-8))\/((-2)\/20). Put b, 5, v in decreasing order.\nAnswer: 5, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -1\/6*o**4 + 5*o - 3\/10*o**5 - 5\/2*o**2 + 0 - 1\/6*o**3. Let h(i) = i**3 + 1. Give c(v) + 5*h(v).\nAnswer: -v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = 3. Suppose 0 = s*r - 368 + 24. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15553157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/4 - 1063*y**3\/2 + 19019*y**2\/4 + 35977*y\/2 + 12702 = 0.\nAnswer: -2, -1, 12, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-5292))\/(-2*2\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c. Let g be w(6). Suppose g = 5*x - 3*x + 56. Let s = x + 32. Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (1 - 2))*(-27 - -27). Let w(v) = 5*v - 3. Let c be w(5). Suppose -j = -g*j - c. Calculate the remainder when 43 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**3 + 2*g - 1. Let a be k(1). Let p = -8 - a. Solve 3*o - 2 - 4 = p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vsvooslowseewow.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5)*h)\/h**6)\/(((h**(8\/3)*h)\/h)\/h**(-18)) assuming h is positive.\nAnswer: h**(-391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069907 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111101 (base 2) in base 7?\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, q: 4, w: 1, l: 6}. What is prob of sequence qw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -5*(sqrt(432) + 2) - (3 + sqrt(432) + -2))**2.\nAnswer: 1320*sqrt(3) + 10921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5881.4 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0, -4779, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/5 + 2*r**2 + 6*r. What is the derivative of o(i) wrt i?\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/30 + j**4\/12 + j**3\/6 + 48*j**2. Suppose -3*y = 3*h - 3, 6*y + 9 = 3*y + 3*h. Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, y: 2, h: 4, e: 1, c: 1}. What is prob of picking 1 h and 1 y?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 6, 62, 140?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 125008000 to the nearest one million.\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100 (base 4) in base 12?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiurkvo. What is prob of sequence orv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 90. Sort 13, v, 1 in ascending order.\nAnswer: v, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6971990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1353 - -1356. Solve g*m - 148 = 2*u - 150, 3*u - 3 = 5*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002217823442 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -45?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29843736 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/2*(-8)\/(-4). Let l be 516\/p - 9\/(-15). Let h = 38 - l. Solve 4*a - h*a + 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 90 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 31 = 4*c + 5*n, -3*c - 3*n = 21. Sort c, 95, 4.\nAnswer: c, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by -8.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 20. Suppose -5*a = -q*p + 527, p = 6*p - 2*a - 680. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28558870 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1 + -3 - -4). Suppose 3*h - 25 + 7 = m. Suppose h*v = v + 75. Which is smaller: v or 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1472030 divided by -132\nAnswer: 736015\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -15*s. Let l(w) = 3*w**2. Let h(m) = 10*m - 5. Let q be h(1). Let n(r) = 3*r - 3*r - 11*r**2 + q*r**2. Let j(i) = -5*l(i) - 3*n(i). What is a(j(x))?\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -1\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1636 - 1640.996. Let s = -0.004 + b. What is the third smallest value in -2\/9, s, -1.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19*f**(-12\/7))\/(f\/f**3)**47 assuming f is positive.\nAnswer: f**(779\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**3*g**2 + 1319*a**3 + 3*a**2*g - 7*g**2 wrt g.\nAnswer: 14*a**3*g + 3*a**2 - 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 304094 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 0*d + 2*d)*(0*d + 3*d - 2*d) + (0*d + 2*d - d)*(-79 + 79 - 12*d) + (d - 3*d + 3*d)*(-4 + d + 4) to z*d + k + j*d**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/22 + (8 - (-630)\/(-77)). Solve 0 = 4*h - 5*q - 12, a = 2*h - h + 5*q - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 28778?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81 - -81) + (244 - 0). Let o = 1117 - h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**8\/84 + 8*f**7\/105 - f**6\/6 + 2*f**5\/15 + 4*f**2. Factor j(m).\nAnswer: -4*m**2*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23430058*v**3 + 22269232*v wrt v.\nAnswer: -140580348*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -0.349\nAnswer: 15.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/593 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lejllleleeeee. Give prob of sequence lee.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1241316 divided by 1682.\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8402 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/2772 + (28\/(-49))\/((-18)\/7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269\/5 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m + 4*m + 2*m)*(7*m**2 + 8*m**2 - 6*m**2) as w*m + h*m**2 + a + i*m**3 and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 979?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.119? (a) 0.3 (b) 5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 2*s. Let y(o) = 4*o**2. Calculate y(x(w)).\nAnswer: 64*w**4 + 64*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 16. Let k be (q\/4)\/(-3)*12\/16. What is the third biggest value in 1\/4, k, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*n**3*r**3*w - 2*n**3*r**3 + n**3*r**2 - 12*n**2*w + 2*r**3 - 6*r*w wrt n?\nAnswer: -144*r**3*w - 12*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -29*u - 35. Let j be x(6). Let p = 212 + j. Solve -g - 9 = 2*n, -5*g = -10*g - p*n - 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 94 + 226 = 8*r. Let l = -57 + 100. Suppose -4*w + l = s, 3*s - 52 + 22 = -3*w. Calculate the remainder when r is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssspvpvpsppss. Give prob of picking 2 s.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, 1.5, -2\/9, 18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 21. Suppose -2*x + d = -8. Suppose 3*b = 4*f, -f = 5*b - 5*f - x. Solve 4*v + b + 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20047388 and 45106623?\nAnswer: 180426492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5) + (-9 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - k - 11, -463*y + 458*y - 5*k - 105 = 0. Let n be (-3)\/(-26)*4\/(-3). Which is the smallest value? (a) 0 (b) n (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157560 and 2980?\nAnswer: 23476440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 18189*u**2 + 36286*u**2 - 18097*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4234237?\nAnswer: 7, 86413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57792930*o*t + 8481545*o - 2*t + 7 wrt t?\nAnswer: 57792930*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -156, -281, -392, -483, -548, -581, -576?\n\"Answer: a**3 + a**2 - 135*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-24)\/(-2))\/(-4))\/((-15)\/(-235)). Is -328\/7 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = -200*s + 103*s + 425 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/(-16) + (-50)\/(-10). What is the closest to 0 in k, 1, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -31*g**2 - 1369*g + 6815. Give l(5).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 28 + -22 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apyeham. Give prob of sequence py.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1698752 - 1015351. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awmmmmmxwmx. What is prob of sequence ax?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(-3 - y + 0 - 2) in the form v + g*y and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxgw when four letters picked without replacement from {o: 1, n: 1, d: 2, g: 1, x: 2, w: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-33)\/3960)\/(((-4)\/8)\/(-1))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:28 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let j(c) = 6038*c. Give j(b(x)).\nAnswer: 18114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 15*d + 46. Suppose 0*c = 2*c - 2*j + 14, 24 = -3*c + 2*j. Give n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223470 to the power of 1\/2, to the nearest integer?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101481661.\nAnswer: 7, 19, 23, 397, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17. Let z be a - (-1 - 10\/2). Let p(q) = -q**2 + 5*q + 7. What is the units digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(i*i**4))))\/i**7*(i*i\/i**(-2)*i)\/i**(4\/5) assuming i is positive.\nAnswer: i**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -382\/17*c + 8\/17*c**5 - 186\/17*c**4 + 22*c**3 + 6*c**2 + 84\/17 = 0. Calculate c.\nAnswer: -1, 1\/4, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1381560480*p**2 + 462139201 wrt p.\nAnswer: -2763120960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 - 122. Calculate the greatest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(72)\/sqrt(3))\/sqrt(4))\/((sqrt(6)*2)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1.4, 21, 2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 5*q**2 - 5*q**2)*(-4 + 2 + 3) + 17*q**4 + 52*q - 102*q + q**2 + 52*q.\nAnswer: 19*q**4 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p + 2 + 0 - 7 + 7.\nAnswer: -17*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = f + 5*o - 8*o, -4*f + o = -24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbrbrrbryrrxo. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 120 = 4*y. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 12. Let g(s) = -s**2 - 16*s - 20. Let i be g(-15). Let r be w(i). Suppose -6*d + 3*n = -2*d - 19, 2*d - r = -n. Solve d*t + 1 = 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9005\/25 - -3)\/((-2)\/(-5)). What are the prime factors of t\/6 + 12\/18?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 - 93774*b + 732796923 = 0. What is b?\nAnswer: 15629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + j + 1)*(3*j - 2*j + 0*j) - 8*j**2 + 5*j**2 + 1 - 125*j + 124*j.\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 1, k: 2, z: 1, b: 2, y: 4}. Give prob of sequence na.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16441 - -2883. Let f = 31558 + k. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -158? (a) 1 (b) -2\/5 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3 + ((-750)\/100)\/(1\/(-86))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -10. Suppose -3*h + p - 4 = 0. Let x(q) = 25*q**2 - q. Let f be x(-1). Solve f = -h*y - 5*a, y - 2*a - 1 = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 10 - 3*g**2 - 15 in the form t*g + o + l*g**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 18 = r. Let u be 1 - (-4)\/(r\/3). Solve -u*h + 25 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 - 25*2\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38397, -6, 2, -65 in increasing order.\nAnswer: -38397, -65, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3 + 1194*i**2 + 97*i - 1301284 wrt i.\nAnswer: -3*i**2 + 2388*i + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 2*m**3 + 3*m**3)*(-1 - 2 + 0)*(-1 + 3 - 4 + (-1 - 3 + 6)*(4 + 2 - 5) + 22 - 7 - 8).\nAnswer: -63*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-2))\/(-1))\/(2\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 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: 946 divided by 3\nAnswer: 946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624328 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-190)\/(-40) + 2 + 1. Let a = l - 37\/4. Let n = -5 - -8. Sort a, n, 0.2.\nAnswer: a, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25076*h**3 + 7*h**2 + h + 2869658.\nAnswer: -75228*h**2 + 14*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, -4, -30, -62?\n\"Answer: -3*z**2 - 11*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-28)\/2940)\/((-3)\/(3108\/(-16)))\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1245, -1516, -1787, -2058, -2329, -2600?\n\"Answer: -271*m - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*j - 90 = 235*j. Let a(h) = -h**2 + h. Let n(g) = 6*g**2 - 6*g + 1. What is j*n(l) + 14*a(l)?\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.893 rounded to zero decimal places?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*v - 1672 = 0, -824 = -3*m + m - 4*v. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 - l - 5*l + 3*l**5 + (3*l**3 + 3*l - 3*l)*(-l**2 + 4*l**2 + 0*l**2).\nAnswer: 8*l**5 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q + 30 = 0. Let b = q + -7. Let x = b - 1. Let g(c) = -2*c**2 - c - 1. Calculate g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (8 - 200\/22). What is the third biggest value in 5, 0.2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g**2 + 4*g**2 + 4*g**2)*(-2*g + 0*g + 3*g) + g**3 + 2*g**3 - 4*g**3 to u*g**2 + y*g + n*g**3 + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*q + a - 3*a, -9 = 3*a. Let g(m) = -m**3 - 7*m**2 + 10. Let l be g(-7). Calculate the greatest common factor of l and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1095 in 4, -1\/5, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-23 - (-10 + 1) - 23)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 27 = -7. Calculate the remainder when 132 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4904\/13 - 377. What is the fourth smallest value in h, -1\/9, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbrrrrzz. Give prob of sequence bb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 5:11 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*h - h + 2, -h - 2 = -5*f. Let k = 5 + f. Suppose -r + k*r - 260 = 0. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.04 (c) -42 (d) -0.5 (e) -47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5374 - 5358. What is the remainder when 4350 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**6 + 21*c**2 - 17\/210*c**7 + 0*c + 0 + 0*c**3 + 0*c**5 - 1\/8*c**4. What is the second derivative of t(d) wrt d?\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -107. Let x = -0.13 - z. What is x rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2 - 2)*(5*j**3 + 0*j**3 - 4*j**3) + (-3 + 1 - 1)*(2*j**4 + 3*j**3 - 3*j**3).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 11 - 3. Let v = b + -12. Let q be 3 - 8\/v - (-46 + 1). Calculate the greatest common factor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4 + 68*f**3 - 46*f**2 - 644*f - 528 = 0.\nAnswer: -2, -1, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-384)*3*-3. What is the closest to 0.2 in s, -0.66, -4\/3?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*u - 116*u - 107*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(972) + sqrt(972)*1*4)\/(-2*sqrt(45)\/sqrt(5)*-4) + 2.\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:09 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*m**3*t**3 + 2*a*m**3 - 2*a*m - 201*m**3*t**3 - 2*m**2*t**3 + 18*m**2*t**2 - 4*m*t**2 wrt m?\nAnswer: 12*a*t**3 + 12*a - 1206*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68219?\nAnswer: 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i - 10. Let c = 490 + -485. Suppose -c*y + 3*w - 7*w = 36, 5*w = -5*y - 35. Calculate k(y).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, -6, -5.\nAnswer: -38, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11*l*l**16*(l\/(l*l**(1\/2)))**(-1\/24) assuming l is positive.\nAnswer: l**(1345\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -12. Solve 0*q = -2*o + 3*q + h, -5*o = -q - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m + 8. Is b(-16) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n - 7*n**3 + 14*n)*(2*n + 3 - 3 + 4*n + 4*n - 6*n - 2*n - 4 + 4 - 5 + 5 - 2*n + (-2*n - 2 + 2)*(1 + 0 - 3) + 4*n + n - 4*n + n - 2 + 2).\nAnswer: -42*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851404522?\nAnswer: 2, 31, 13732331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -995? (a) -4 (b) -41\/3 (c) -1 (d) 0 (e) 0.5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2052*b + 16410. Determine i(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1635 divided by 1635\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 0*1\/3. Suppose -4*c + o = 2*r, -2*r - 2*c - 2 + 8 = 0. Suppose -r*v + 21 - 6 = 0. Solve -v*p - 15 = -3*k, 0*k = 5*p + 3*k + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2*(-2)\/4. Let a = -3201 + 3216. Suppose -a = -8*n + s*n. What is the highest common factor of 33 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99611255 and 15924?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(351*d + 24*d + 382*d + 107*d + 362*d + 682*d) to the form k + y*d and give y.\nAnswer: 3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/36)\/((-5)\/(-2)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {o: 2, u: 3, b: 1, y: 1, j: 4, r: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 - 63. Put k, -0.4, 5\/6 in decreasing order.\nAnswer: 5\/6, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, w: 9, g: 3, d: 2}. Give prob of picking 4 w.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/54)*f**(-4\/19))\/(f\/((f**(-12)*f)\/f)*f*f\/(f\/((f\/(f*f\/f**(-1\/3)))\/f)*f)))**(-37) assuming f is positive.\nAnswer: f**(375661\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + -18 + 67 + -41 + (3 - -2)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/182 and 95\/1457846.\nAnswer: 10204922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304858491?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-36))\/(44\/(-42) - -1). Calculate the greatest common factor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - a + a)*(6 - 4 - 1) - a + a - 4*a)*(0*a + a + 0*a)*(-232*a + 3 - 2 + 231*a).\nAnswer: 3*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950287533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:02 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13164490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.8 + -0.9?\nAnswer: -296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 289 = 49*r - 47*r, -2*d + 34 = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2194 and -30.\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*b + 32, 0 - 14 = -2*v + b. Suppose -3*i - i + v = 5*r, -4*i = -20. What is the biggest value in -2\/3, -13, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143987620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5685 + 5697. Solve -4*h = -l, -3*q + 4*h = 15 - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 1:08 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(c**4 - 3*c**4 + 4*c**4) + c**5 + 2 + 3*c**4 - 3*c**4.\nAnswer: 5*c**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11902 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 67. Suppose 3*p = -p + u. Solve -h - p = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 - 6*h**2 + 1179*h\/2 - 1701 = 0. What is h?\nAnswer: -42, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, m: 3, b: 1, p: 1}. Give prob of sequence prt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 divided by -90?\nAnswer: -223\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 156. Suppose h*a - 6*a = -4. Solve -2\/3*f**3 + 2\/3*f - 2\/3*f**a + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10 - 10 - x**2. Let a be 54 - (2 + -1) - 0. Let b(f) = 50*f + a*f - 110*f. Calculate b(p(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 144. Let c(l) be the first derivative of 3*l**2\/2 + 471. Give c(n(j)).\nAnswer: 9*j**2 + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -245, -387, -531, -677, -825?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -26*l**3 + 20*l**2 + 37*l - 4. Is 3 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/4 + 1329407*s\/4 - 1994115\/2 = 0. Calculate s.\nAnswer: -1329410, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 14001*i**2 + 15*i + 13980*i**2 + 3*i = 0. What is i?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141024032761 - 0?\nAnswer: -141024032761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2*1)\/(sqrt(11) + (sqrt(44)*1)\/sqrt(4))*-3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w + 2*w - w - 1 + 3. Calculate the smallest common multiple of h(4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 4807?\nAnswer: 43263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 156 = 46*y + 695 + 61 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 34813976*x - 75750807808036.\nAnswer: -4*(x - 4351747)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 242.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -87\/5 (b) -1\/2 (c) 2\/17 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c - 9*c - 702 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5817466766 to the power of 1\/4, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*f*v**3 + f*v**2 + 2*f*v + 7003073*f + 2*v**3 + 58*v - 2443173 wrt f.\nAnswer: 12*v**3 + v**2 + 2*v + 7003073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**3 + 3*r**2 + 7. Let t(v) = -2*v**3 - 2*v**2 - 6. Let s(i) = 4*t(i) + 3*u(i). Let f be (1 - (-4 + 5))\/1. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + d + 3*d)*(5*d - 2*d - 4*d) + 9 - 24 + 2*d**2 + 4*d**2 as y*d**2 + j*d + m and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 702*c**2 + 3*c + 1. Let p be z(-2). Suppose 5*s - p = -988. What is the greatest common factor of s and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 34*t - 10*t - 10*t to y*t + g and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 370364*k**2 + 740744*k.\nAnswer: -4*k*(k - 2)*(k + 92593)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 118*a - 78 - 144. Let i(g) = 11*g + 1. Let f be i(2). Solve 0 = 2*k + 2*k + a*t + 12, 3*k = 2*t - f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x - 10. Let p be a(7). Suppose 7*g = 3*g + p. Let m be -84 + g + 18\/(-9). Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 16. Let p be b(-9). Suppose t - 10 = 4*l + 8, p*t = l + 8. Solve t*c = 6*q - 2*q - 24, -4*q + 32 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*x. Suppose -x*v - 154 = -490. Factor 5*r**2 - 121 + v + 16*r**2 + 12*r.\nAnswer: 3*(r + 1)*(7*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155475216 divided by 7222.\nAnswer: -21528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -59 + -83 + 32 + 111\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:47 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 405 = 0. Suppose -4*q - h = -y - 2*y, 0 = -2*y + 3*q + 55. Solve -a + 3*x - 16 = -0, 0 = 2*a + 5*x - y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473037105 to the power of 1\/2, to the nearest integer?\nAnswer: 49730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 1. Calculate the remainder when 39 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + (-42)\/(-9). Solve -m*z - 2*o + 12 + 16 = 0, 0 = -3*z - 4*o + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -4809497?\nAnswer: -4809495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/24 + t**3\/3 - 24*t**2. Suppose -v - 50 = -6*v. Suppose 3*n - 2*u + v = -2*n, n - 2*u = -2. Determine r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 18*p + 270. Let k be t(8). What is the nearest to -1\/4 in -0.77, 3, k?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -2.78 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:19 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576708 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:47 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 11) in base 16?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/19261 and -3\/8.\nAnswer: 154088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 3, f: 1, x: 3, y: 4, i: 2}. Give prob of sequence izx.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 24*w**2 + 52*w + 35. What is the remainder when 450 is divided by m(-26)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/9 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = 4*m, -2*j + 5*m = j + 35. Suppose u - 2 = -0. Sort u, j, 5 in descending order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17153044 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -0*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3774 = 5*k, k - 2254 = -2*k - 5*j. What are the prime factors of k?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531 by 6.\nAnswer: 177\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 206*s + 284. Let y be i(-70). Solve y*m - 61 = -77 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 2*v**2 + 2*v + 28)*(-204*v**2 + 8716*v - 8716*v).\nAnswer: 408*v**4 - 408*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 2. Let k(m) = -4*m - 10. Determine 3*k(i) - 14*o(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20887267?\nAnswer: 103, 149, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 384. Let o = f + -132. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235.644 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/84 + (-31721)\/4641 + 6 and -133\/90.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 21*z**2 + 106*z - 154. Determine x(-8).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.317509 rounded to three dps?\nAnswer: 2.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 1. Let n(m) = 6*m**2 - 3. Let s(q) = 3*q**2 - 1. Let c(v) = -3*n(v) + 5*s(v). Calculate -3*c(h) + 12*w(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -517 + 517. Let y(o) = 23 - 9 + c - 9 + o. Suppose 2*w + 16 = -0*w. Give y(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(33) + (sqrt(4752) - sqrt(4752)*-1) - sqrt(33))\/(-4*-2*sqrt(3)))*-5.\nAnswer: -15*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 352. Let t be p(-69). Let h(w) be the third derivative of w**6\/120 + 2*w**5\/15 + 5*w**4\/12 + w**3\/2 - 4*w**2. What is h(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 9\/2, 49, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69863, -279436, -628719, -1117712, -1746415, -2514828?\nAnswer: -3422951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105071917 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2.43 (c) 3\/5 (d) -0.5 (e) 13 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 0, i - q - 15 + 10 = 0. Solve 21 = i*s + 39 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3 - 918*o**2 - 93636*o - 3183624 = 0?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 4 + 4 + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 929588.8 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 13. Let l be f(-12). Let n be (1 - l) + (5 - (-9)\/(-3)). Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 2. Let u be o(6). Let d = 0.59 - 0.63. Let p = d + -0.96. Which is the smallest value? (a) p (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.01. Let h = y + 0.99. What is the nearest to h in 4, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1235, 2, -156 in descending order.\nAnswer: 2, -156, -1235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 - 3\/2). Let o = 151\/4 - 37. What is the third biggest value in o, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:49 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174077476 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.2112 - 0.2112. Which is the second smallest value? (a) -30 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*r + 188*r - 157*r)*(-6*r + 5*r - r + 26 - 5*r - 26 + (-2 + 2 - 2)*(-2*r + 2*r - r) + 4*r - 5*r + 2*r + 0*r + 0*r - 2*r).\nAnswer: 504*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 8. Let w = 5 + z. Which is the closest to -1? (a) -5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 5*u - 2. Let k be n(-4). Suppose 0 = h + r - 1, -k*r - 2 = 4. Solve 0 = -h*d - 4 - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382 by 1319.\nAnswer: -382\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2*k**2 + 14*k - 2. Let x be l(-6). Let a = 40 - x. Solve a = -d - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 41. Calculate the remainder when 49 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siififi. What is prob of picking 1 f and 1 i?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8)*10\/(-125).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8290, -8278, -8254, -8212, -8146, -8050, -7918?\n\"Answer: b**3 + 5*b - 8296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035482 rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-6)*n*n*n)*n*n**5*n**(-1\/4)\/(n\/n**(2\/3))*(((n**(-1\/2)*n)\/n)\/(n*(n*n**6*n)\/n*n))**(-1\/31) assuming n is positive.\nAnswer: n**(3617\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/8439750 and -89\/85250?\nAnswer: 8439750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20 + (-38)\/(-8). Suppose 4 - 22 = -3*w. Suppose -14*j = -16*j + w. Sort h, j, 4.\nAnswer: j, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/21)*q**(-2\/19))**(-13)*(q**(2\/9)\/((q*q**(-2\/9))\/q*q))\/(((q\/(q\/q**(-1\/3)))\/q)\/(q*q**(-1\/10))) assuming q is positive.\nAnswer: q**(21643\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(8\/7)\/d)*d**(2\/3)\/d*d)\/(d*d*d**2*d*d**(-2\/7)) assuming d is positive.\nAnswer: d**(-67\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2 + 169689*k - 5935440 = 0?\nAnswer: 35, 56528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4685683, -4685690, -4685697, -4685704, -4685711?\nAnswer: -4685718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j - 1. Let h(x) = -16*x**4 - 4*x**2 + 3*x - 3. Let w(k) = 3*c(k) - h(k). Find the third derivative of w(r) wrt r.\nAnswer: 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -59.8. Let o = 7 + q. Put -5, o, -3 in decreasing order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/(-12))\/232)\/((-15)\/15*1\/12)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2, 0.1, 2\/7, -2.1 in descending order.\nAnswer: 2\/7, 2\/17, 0.1, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3186.96 + 3187. Which is the closest to -1? (a) s (b) -5 (c) 2\/11 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + (0 - (10 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6941 + -0.7?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -2.01. Let s = -2.532 + 0.032. Let y = x - s. What is y rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 53.468?\nAnswer: -58.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -911 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*9\/(-30) - (-7)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5174, -5180, -5186, -5192, -5198?\nAnswer: -5204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105795 or -2010098\/19?\nAnswer: -2010098\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4)*(-80)\/24. Let m = 1598 - 1597.6. What is the fourth biggest value in a, 0, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*i**3 + 12\/7*i**4 + 0 + 3\/7*i**2 + 0*i.\nAnswer: 3*i**2*(i - 1)*(4*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/((6\/24)\/((11\/(-16))\/11))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -917, -2133, -3847, -6059?\nAnswer: -8769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.858 - -215.742. Round m to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176 and -3.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 19*i - 4. Let s(p) = -2*p**2 + 18*p + 1. Let q(r) = r**2 - 9*r - 1. Let h(w) = 5*q(w) + 3*s(w). Calculate 6*f(y) - 13*h(y).\nAnswer: y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*12\/4. Suppose 4*v + 5*z = -4 - 1, 4*v + z = -17. Put t, -2, v in increasing order.\nAnswer: v, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(36)\/sqrt(4)) + sqrt(28) + -2.\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 - 2*f - 6. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -77644500 + 21\nAnswer: -77644479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*k**2 - 103*k**2 - 102*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*675.46641.\nAnswer: 675.46641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from cpewupuawcwcwc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-66) + (-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(-1*(sqrt(95)\/sqrt(5) + 3 - sqrt(19))*-4)**2.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49020 is divided by 2449?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4*s + s)*(0*s**2 - s**4 + 0*s**2) + (2*s**2 + 0*s**2 - s**2)*(-2*s**3 + 0*s**3 + 4*s**3) - 12*s**5 + s**5 - 3*s**5.\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11985 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 42*m = 296*m - 8550. Calculate the remainder when 84 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k + 3*k)*(-3 + 3 - 4*k) - k**3 + 3*k**3 + 2*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9463487 and -3591.\nAnswer: -9467078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from {o: 2, p: 5, a: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**6\/15 + 4*r**4 - 64*r**3\/3 + 48*r**2 + 281*r. Factor v(l).\nAnswer: -2*(l - 2)**3*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, -7, 1, -1\/2, -3, -0.22 in ascending order.\nAnswer: -7, -3, -1\/2, -0.22, 1, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 259, 380, 507, 646, 803?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27263\/11 - 2483. Let n = m + 433\/88. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/104820 and -11\/60.\nAnswer: 104820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4113 (base 9) to base 13\nAnswer: 14a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f**2. Let i(d) = -2799*d - 1. Determine i(z(u)).\nAnswer: 25191*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 5*d**4\/8 - 8*d**3\/3 + 22*d**2. Differentiate j(x) wrt x.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*a - 2, 0*m = -m + 2*a + 2. Suppose m*y = y - 15500. Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -106, 4, -3, 8608?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.23293 millennia to decades.\nAnswer: 7123.293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813, 804, 807, 828, 873, 948?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.11 + 1485.72.\nAnswer: 1486.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 5*x = 24. Suppose -25 + 10 = -3*t. Suppose t*f - 84 = 3*b, f - b - 10 - x = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51639898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, -16 in descending order.\nAnswer: 3, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 5*n**2 - n. Let a be l(-3). Suppose 38*r = 42*r - a. Solve -5*g = k + 5, 0*k + r*k - 13 = -g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 14 = -4*u + 6*g, -g = 4*u + 2. What is the units digit of 3\/(0 - u) + 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.3 + 40. Let k = 1.6999993 - i. What is k rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 1. Let o(s) = 5*s**3 - 7*s**2 + 11*s - 18. Let u(i) = -i**3 - i. Let w(y) = -o(y) - 6*u(y). Let q be w(-8). Calculate g(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00321184468 rounded to 7 dps?\nAnswer: -0.0032118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10114 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:20 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 199824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6785 + 6785.3. Sort -4, 1, 1\/10, -275, n.\nAnswer: -275, -4, 1\/10, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -17. Let z = 34.6 - w. Let u be (-2)\/6 - (-7)\/(-6). Which is the closest to -0.3? (a) -4 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -3423226?\nAnswer: -3423230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 1, c: 1, w: 10, g: 4}. Give prob of sequence czz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002843819 rounded to seven decimal places?\nAnswer: -0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -31*r - 21. Determine s(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 16*v + 1. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1388 divided by -317263.\nAnswer: 1388\/317263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 + 134 - u**4 + 3*u**4 - 19*u**2 - 269 + 5*u + 137 to r*u + c*u**2 + g*u**4 + k + x*u**3 and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) 0.07 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**(-2\/15)*d)\/d))\/((((d**(-3\/8)\/d)\/d)\/d)\/d))\/(d**12*d**(5\/4)*d))**(1\/3) assuming d is positive.\nAnswer: d**(-1049\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2213976 and -47\/801612.\nAnswer: 46493496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 - 3*i + 22. Let j(c) = -5*c - 14. Let g be j(-5). What are the prime factors of m(g)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.1028, 4\/7, -0.4, 2.18 in descending order.\nAnswer: 2.18, 4\/7, -0.1028, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d*f**2*o**2 + 2*d*f*o + 18*d*o + 115*f**2*o + 35*f*o**2 + f wrt d?\nAnswer: -9*f**2*o**2 + 2*f*o + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/3 (b) -22 (c) -46805\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 1\/2, -49, 0.6, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 3, f: 11}. What is prob of picking 1 f and 1 s?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588467 rounded to the nearest 1000?\nAnswer: -1588000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*v*x - 2909*m*x**3 - 2*v*x**3 - 462*v + 2*x**2 wrt m.\nAnswer: -v*x - 2909*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*s - 17 = -4*x, 4*s = -12. Suppose -1628730 = x*q - 8700518. Suppose q = -4*k + 14735894. What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + 83. Suppose k = -y + 11*y - 1520. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 23. Let i be m(-12). Let r(v) = -v**2 + v. Let x(w) = 65*w**2 + 3*w - 2. Let z(h) = i*x(h) - 5*r(h). What is the tens digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/p**(-8)*p)\/p))\/p**(-12) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527298*a**5 + 11*a**3*v - 5*a**2*v + 2*a**2 + 19*a*v + 2605*a - 2*v wrt a.\nAnswer: -31637880*a**2 + 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3194 - 6608 = 754*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 12. Suppose -4*z - 2*m = -102, z + 4*m = -c*z + 120. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1857 - -48631. List the prime factors of m.\nAnswer: 2, 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 557 = -20*y + 5*x, 0 = -x + 5. What is the nearest to -0.1 in y, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-41))\/(1 - 2))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.01, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*1123\/12353?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*t**2 + 7*t**2 - 8*t**2)*((-5 + 2 + 1)*(-2 + 0 + 4) - 3 + 7 - 2).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 12. Let p be j(-10). Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, s: 13}. What is prob of picking 1 s and 1 o?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/15)\/(1\/(-5)). Let d = w - -1. Suppose -3*l = 2*b - 202, -2*b + 400 = 2*b + d*l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313020 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750736370 rounded to the nearest one hundred thousand?\nAnswer: -1750700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 + 15160*v + 30318 = 0 for v.\nAnswer: -30318, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, 122, -1297 in ascending order.\nAnswer: -1297, -2, 2, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-1 + -2)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23185 = 212*y - 52017 for y.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65590?\nAnswer: 2, 5, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 910, -0.06, 3\/7 in ascending order.\nAnswer: -0.06, 3\/7, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + r - 1. Let p be w(0). Let s = p - -3. Let a be (-3 - (2 - 3)) + s. Solve -l = -5 - a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 9 - 13494*x + 6660*x + 6679*x.\nAnswer: -x**2 - 155*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102000 - 13203?\nAnswer: -121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (87\/(-12)*-1)\/((-5)\/(-20)). Is (a - 3)\/((-6)\/(-57)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.27 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -8*y + 52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50656*p**3 + 25336*p**3 + 3*p**2 + 0*p**2 - 879 + 25322*p**3 + 2*p to the form h*p + u*p**3 + y*p**2 + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) 0.06 (b) -0.3 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 + 7*r + 5. Let z(p) = -p**2 - p - 1. Let w(o) = o**3 - 4*o**2 - 2*o + 3. Let l be w(4). Determine l*z(f) - i(f).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -31. Find the third derivative of -o*w**4 + 22*w**2 + 16*w - 21*w**2 - 37*w**5 + 5*w**4 wrt w.\nAnswer: -2220*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017251705 rounded to 6 decimal places?\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148656459.9756 - -148690144. Let h = m + -33794. Let p = 110 + h. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332999 is divided by 22174?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 47*x**2 - 9*x - 4. Let s(h) = 23*h**2 - 4*h - 2. Calculate 6*c(j) - 13*s(j).\nAnswer: -17*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.152 + 0.152. What is the third biggest value in -5, -2\/37, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/6)\/(-2*6\/18). Suppose -g*c = -2*w + 5 + 25, 4*c = -w - 11. Solve 0 = -w*b + 7*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 98 - 110. Let d be (0 - 2) + (19 - b\/(-2)). Solve 0 = -3*g + 5 + 10, -g - d = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6380 by -15.\nAnswer: -1276\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 5*d**2 + 2*d. Let n(a) = 2*a**2. Let b be (-315)\/135*(6\/(-15) + (-39)\/15). Give b*n(r) - 3*w(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -118, 5 in decreasing order.\nAnswer: 5, 0, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579906719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, q: 12}. Give prob of sequence qp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/(x\/(x\/x**6))))\/x*x)\/(x\/(x*x**6))*x\/x**(-2\/5)*(x**(-2\/11)\/x)\/x)**(-8\/3) assuming x is positive.\nAnswer: x**(-4496\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -0.2 (c) -29 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163, -239, -307, -361, -395, -403?\n\"Answer: f**3 - 2*f**2 - 77*f - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*-2 - sqrt(65))\/sqrt(5).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35123424 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31300 - -74093. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 1:35 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3413183 rounded to four decimal places?\nAnswer: 0.3413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/6 + 11*y**4\/3 - 121*y**3 + 780*y**2 - 1593*y\/2 - 1701 = 0. What is y?\nAnswer: -42, -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 201453666 and -1733?\nAnswer: 201455399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -1\/39 (b) -0.014 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-1 - (4 + -1)). Suppose z*w + i = 25, -3*w + 12 + 26 = i. Let t = w + 87. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11389 is divided by 3787.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + -4 + 32\/4. Let g(n) = 16*n**2 + n. Let k be g(j). Calculate the least common multiple of 9 and 32\/6 - (-10)\/k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569473079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - 2.99. Let n = t - -3.1. What is the nearest to n in -0.3, 3\/2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 2*z - 5 = 0, -3*n - 4*z = -15. Solve 0 = -5*b + 5*g + 15, -5*b + g - n = 6*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -92. Suppose -10*h + b*h + 35 = 0. Suppose -u - h*d + 292 = 0, 4*d + 0*d = 2*u - 626. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 20202?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*s = 7*s - 114 + 590. Sort -475, 2, -2, s in decreasing order.\nAnswer: s, 2, -2, -475","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-1)\/(-3) - 312\/(-36)) + 5 and 92?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 39*x - 620. Let u be v(16). Sort -804, -5, -4, u in ascending order.\nAnswer: -804, -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsk when three letters picked without replacement from ysstyyky.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/792 and 67\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 37562 and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -38, -8052, -5, -3 in increasing order.\nAnswer: -8052, -38, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 1026, 2368, 4246, 6660, 9610?\nAnswer: 13096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -7. Let o(b) = -b - 2. Determine o(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -968719?\nAnswer: -968719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40985, 41933, 42881?\nAnswer: 43829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2. Let c be q(2). Suppose -3*y + 9 = -c*y. Solve 5*i - 1 = a - 4, a = i + y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - s - 7*s + (-655*s + 639*s - 1588*s)*(-1 + 3 - 3).\nAnswer: 1601*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -129cb?\nAnswer: -129cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u - 2. Let p(r) be the third derivative of 4*r**2 + 13 + 0*r - 1\/8*r**4 - 1\/6*r**3. Give -11*p(f) + 4*w(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 37 = 3*u, 3*u - 137*o - 11 = -133*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**6\/90 - z**5\/3 - 25*z**4\/6 + 2*z**3\/3 - 7*z. Let d(x) be the second derivative of l(x). Find j such that d(j) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = 100*j - 2773 + 1160 - 2985 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -10*v**2\/3 + 82702*v\/15 - 3308\/15 = 0?\nAnswer: 1\/25, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*t + 6*t = 1000 + 560 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from ihhhgilgihhglhiihljh.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 5 - c**4 + 2*c**3 + 31*c**2 - 1 - 4*c**2 + 3 to p*c**2 + m*c**4 + h*c + t + w*c**3 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 190327*c - 2284026. What is b(12)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/171538 and 11\/7.\nAnswer: 1200766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-15))\/4*(-27)\/(-36)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1389514.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(40)*-3*3)**2.\nAnswer: 1539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -228 in -5, 1\/6, 4\/49, -0.03, 140?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115.7 times 4?\nAnswer: -4462.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -464, -459, -450, -437?\n\"Answer: 2*d**2 - d - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10966, -11126, -11286, -11446?\nAnswer: -11606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2495200 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 18*n**2 + 4*n - 7. What are the prime factors of p(2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 25. Let q = 55 + d. Solve 0 = -2*n + 5 - q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32824 and 1364.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3 and ((-96)\/8)\/((-6)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 698 - 67 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9224*d - 64566. Calculate v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 416*d**2 + 10164*d - 34344.\nAnswer: 4*(d - 3)*(d + 53)*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 + -13 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 8}. Give prob of sequence jjkk.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -542, -543, -544, -545?\n\"Answer: -t - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*h + 3 - 1, 4*h - 10 = -2*t. Let c be (h + -2)\/((-3)\/6). Let q be 2\/(c\/(4\/10)). Put q, -0.5, 0 in descending order.\nAnswer: q, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/((-6)\/(-352)*4). Suppose 6*i = 2*i + l. Suppose 5*f - 3*f - i = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-12)*-1)\/3. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3791 - (1\/2 - 1)*-2. Let p = h + 22895\/6. Calculate the common denominator of p and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33671 and 3377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_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: Solve -109*a = -173*a - 63 + 511 + 512 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 36322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107.9 and -9?\nAnswer: 971.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.06, 1\/1607, -0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.77 + -1.769999067. What is m rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + -19 - (3 - 9) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 69*g - 64*g + 10, 20*c = -5*g - 115 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, x: 3, j: 6}. Give prob of picking 2 j and 1 y.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 40. Let j be h\/((108\/20)\/3). Which is the second smallest value? (a) -0.07 (b) -1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k + 2. Let s(n) = n - 1. Let t(g) = -10*g + 16. Let d(m) = 8*s(m) + t(m). Let y be d(6). Let r be h(y). Solve -r*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.25779 and 2937.115.\nAnswer: 2943.37279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 68003 - 68002 + j + 7*j. Let w = -2 - -8. Suppose 0 = 4*c + 2*a, 0*c = 4*c - a + w. Calculate f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4703*y**2 + 2324*y**2 - y + y + 2353*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*2 - sqrt(119))*-5*-4)\/(sqrt(700)*-2 + sqrt(700) + (sqrt(847) - (-1*sqrt(847) - sqrt(847)))) + -1 + -5.\nAnswer: -6 + 20*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27977440 and 4640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -155 and -198 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 3*(-3 - (-24)\/9). Let n = 1 + 1. Solve -t - 12 = n*t, 3*x - 15 = m*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894.6394 rounded to the nearest 10?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 142. Suppose 8*g - 13*g = -v. Factor 5\/2*p**5 - 1 - 3\/2*p + 4*p**2 + 11*p**3 + g*p**4.\nAnswer: (p + 1)**4*(5*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 52?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 15*u**2 + 10. Is 2 a factor of o(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 182321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 358936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(66)\/(sqrt(6) + 2*4*sqrt(6)) + 3 + (-5*(sqrt(44)\/sqrt(4) - sqrt(11)) - (sqrt(275) + 2))*-1)**2.\nAnswer: 460*sqrt(11)\/9 + 25544\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q**2 - 8*q + 4. Let g(z) = -z**2 - 16*z + 133. Let r be g(-22). Let u(p) = -p**3 + p**2 - p + 1. Determine r*h(t) - 2*u(t).\nAnswer: t**3 - 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 451507.1 to the nearest one thousand.\nAnswer: 452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 194*j - 3936. Is 39 a factor of i(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/((-1736)\/(-104)))\/(3\/21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6948094, 13896203, 20844312?\nAnswer: 27792421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1005\/7 + 144. What is the closest to -0.1 in x, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*y**3 - 1 + 170*y**3 - 44*y**3 - 3*y + y**2 - 40*y**3 - 45*y**3 to the form o*y**3 + x*y + k + z*y**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 5*u - 15, 4*h - 30 = -3*u - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -124316, -124314, -124312, -124310?\n\"Answer: 2*l - 124318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 6) to base 10.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*o = 15, -o = 5*b - 2*o - 25. Is 29 a factor of 1*59 + -5 + b + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 - 1\/6*o**3 + 3*o**2 + 2*o. Is b(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-40)*15\/63\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 17. Let m(c) = 6*c**2 + 2*c - 4. Let l = -5 - -1. Let i be m(l). What is the greatest common factor of x and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x = 60*x - 284900. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 24 = -4*z, -o = -4*z - 2*o + 8. Let g be (10\/20)\/((-1)\/28). Let w = -10 - g. Solve z*h + h = w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 4. Let z be p(-7). Let g be 1\/3 + ((-1582)\/3)\/(-14). Let m = g + z. Which is the closest to m? (a) -3\/5 (b) -1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3)\/4*11. Let n be (-1 + 1)\/(p + -9). Differentiate n + 9*k**3 - 8*k**3 - 6 + 8*k**3 with respect to k.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 + -16)*(-1 - 0). Is 31 a factor of x\/6*(11 - 26) - -284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*((-2)\/(-3))\/(2240\/2160).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(14)\/sqrt(18)).\nAnswer: -12 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3. Let c(k) = -3*k**3 - 2*k**2 + 1. Let q be c(l). Let y(g) = g**q - 3*g + 2*g + g. Let o(j) = -4*j. Determine o(y(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -22*h + 4. Give c(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 116446?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iru when three letters picked without replacement from {u: 3, i: 7, a: 1, r: 3, f: 5}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4\/9, -3, 0.1, -143, 0.561?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/290415 and -46\/27.\nAnswer: 2613735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/11))\/v*v*v**(-1\/29) assuming v is positive.\nAnswer: v**(366\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b\/(b\/b**1)))\/(b*(b\/(b*(b\/b**(-9\/4))\/b))\/b))\/(b**(-1\/13)\/(b**(-9)*b)) assuming b is positive.\nAnswer: b**(-191\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l - 7. Let z be m(7). What is the tens digit of 72\/7 - 2\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*d - 37 + 27, 4*d - 5*o = 67 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 - 4 = 0. Suppose t + o*t = 36. Let d = t - 4. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256651 (base 7) in base 5?\nAnswer: -3014012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uht when three letters picked without replacement from thuuttuh?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -6. Let s be -4*g\/8 + -1. Find the second derivative of v - s*v - 2*v + 7*v**3 wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3697.511 less than -1.62?\nAnswer: 3695.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (sqrt(396) + ((-2 + sqrt(396))*1 - sqrt(396)))**2 + -4)*-3.\nAnswer: -1185 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (7 + -24)) + (-6 + -3 - 12).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 136586471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t. Let c(j) be the first derivative of 2*j**2 + 109. Suppose -3*d + 13 = -2. Give d*c(k) + 2*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-32)\/12)*3066\/4599.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + 0.4. Let w = 39.4032 + -40. Let b = t + w. What is b rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -8048?\nAnswer: 19\/8048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032103 (base 4) in base 6?\nAnswer: -141043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 25. Let w be q(10). Which is the nearest to -0.4? (a) -4 (b) 1 (c) 3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 101111101011101110001011?\nAnswer: 101111101011101101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164093, 164001, 163909, 163817, 163725?\nAnswer: 163633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 356?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 126448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (32\/48)\/((-21)\/9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 6, -3*f = -5*f - 3*r - 2960009. What is f rounded to the nearest ten thousand?\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76 (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26866 - 24903. What is the remainder when s is divided by 654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r + 1. Suppose 13*d - 10*d - 15 = 0. Suppose 5*m + 17 = 8*m - 4*a, m + 26 = -d*a. Let t be n(m). Let h(j) = j + 1. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -6875173.\nAnswer: -13\/6875173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579, -1010, -1289, -1416, -1391?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 17. Suppose 0 = g + 4*v - 7, 2*v + 0 + 4 = 2*g. Sort b, -1\/6, g in ascending order.\nAnswer: b, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1312 and -79\/2296.\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*u + 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 970659 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100221122201220 (base 3) to base 10.\nAnswer: -5287974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:45 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -564539 + 2074567. Let j = m + -1510027.3599672. Let f = j + -0.64. Round f to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 12 + 0 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 + 280.072. Which is bigger: d or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*v - 133*v = -1177474 - 414976. What are the prime factors of v?\nAnswer: 2, 31849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-21 + 16 - 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 20 - (-20 - -42) - 27?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 6 + -2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 18*r + 13. Give p(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2690 = -412*h + 417*h + 3*a, 2*a - 1076 = -2*h. Solve 0 = -542*i + h*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 796*w**7\/7 + w**5\/5 - w**4 + 1529*w**3\/3 + w**2 + 2492. What is the third derivative of y(m) wrt m?\nAnswer: 95520*m**3 + 24*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1197 = 2*m - 7*m, m - 5*w - 244 = 0. Let q = m + -239. Solve q = 2*v + 2 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707454 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 16 + 149794*h - 146609*h as w*h + l and give w.\nAnswer: 3185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 14*c**2 - 3*c + 12. Let b be d(14). Let g = b - -20. Let q = -8 - g. Let f(h) = -3*h + 2. Give f(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpj when three letters picked without replacement from rjpprrppp.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 98 + 2. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, 1\/4, 1, 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 117819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35916301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1382010 + -4267646929\/3088. What is the common denominator of o and 35\/176?\nAnswer: 33968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*c*j**2*s + 2*c*j*s + 8*c*s + 11*j**2 + 849*s wrt c.\nAnswer: -28*j**2*s + 2*j*s + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4799, -21\/17, -3, 1\/3, -7 in increasing order.\nAnswer: -7, -3, -21\/17, 1\/3, 3\/4, 4799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1686946924 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4))**36)**(-45))**(1\/10) assuming m is positive.\nAnswer: m**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (47*51\/4794)\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -66. What is the fourth smallest value in 3, -2\/11, 2, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*l + 524, -7*y = -3*l - 3*y + 786. Suppose 3*i - l = 4*o + 258, 0 = -2*o - 8. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, -17.\nAnswer: -17, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2, -155, 155, 17, -4 in descending order.\nAnswer: 155, 17, 5, 2, 1, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.00385 * 0.4.\nAnswer: -1.60154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-112))\/((-2)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(2\/(-72)). Suppose -4*a = 3*g - d, -5*g + 29 = -0*a + 3*a. Find the first derivative of 0*w + 3*w + 2*w**2 - a - 3*w wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**3 + 23*r**2 + 3*r + 6. Let h(t) = 43*t**3 - 69*t**2 - 9*t - 17. Determine -6*h(q) - 17*p(q).\nAnswer: -3*q**3 + 23*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1. Let u(f) = f**3 + f**2 + f. Let q(t) be the second derivative of 3*t**5\/10 + 2*t**4\/3 + t**3 + 25*t. Give n*q(c) - 8*u(c).\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9472294 is divided by 17738?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {c: 7, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-2 - 5) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 22.09. Let x = -0.31 + d. Let z = 109.7 + -110. Which is the second smallest value? (a) z (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 3*i**2 - 5*i**2 + i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 0, -6*i - 2*s + 928 = -i. Suppose -40 = a + 3*d - i, -d + 4 = 0. What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = m + m - 114, -j + 5*m = -63. Let h = -18 - -18. Suppose 3*a + n = 55, h*a = -4*a - 2*n + 70. Calculate the remainder when j is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 7*z**2\/2 + 2*z + 20585. Let t(c) = -c**3 + 4*c**2 + 7*c - 6. Let r be t(5). Determine u(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, -38, 169782 in descending order.\nAnswer: 169782, -2, -3, -11, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 19*a - 103. Give f(-9).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/672*8)\/(1\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6222 - 6224. Which is the closest to x? (a) -2\/21 (b) 5\/2 (c) 2\/21 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 5751728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.060608 and 1594.\nAnswer: 1594.060608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 0.2 (c) 1.232 (d) -1 (e) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225202 is divided by 214?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 924?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -27*o. Let c(j) = -2*j**2. What is c(v(f))?\nAnswer: -1458*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t = 91*t + 84*t - 345 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, 1 k, and 1 v when four letters picked without replacement from {c: 1, b: 2, l: 1, v: 1, f: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l**3 - 2*l**2 + 25*l - 2. Let m(h) = 99*h**3 - 11*h**2 + 124*h - 11. Let a(b) = -2*m(b) + 11*q(b). What is the second derivative of a(k) wrt k?\nAnswer: 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x*x**2)\/x)\/x*x*x**5)**34 assuming x is positive.\nAnswer: x**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(805\/2))\/(58\/2175*-15)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1391 + -689. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(-1\/3)))\/l)\/l*l*l)\/(l*l**(-4)))**(1\/58)\/((l*l*(l\/(l\/l**(1\/9)))\/l*l**(-1))\/(l**(-1)*(l\/(l\/(l*(l**(-5)*l)\/l)))\/l)) assuming l is positive.\nAnswer: l**(-1583\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 20. Solve -5*t + y = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42.9, -1\/4, 49?\nAnswer: 42.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 327, 487, 645, 801, 955?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-2)\/4). Suppose -v + x*v - 28 = 0. Suppose v = 2*z - z. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - 0.01. Let t = v - -2.94. Let g = -0.3 - -0.7. What is the second biggest value in t, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272930, -272943, -272958, -272975?\nAnswer: -272994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152488198.\nAnswer: 2, 17, 4484947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:55 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*a - 0*h - 36, -12 = -2*a + 4*h. What is the tens digit of (a*1)\/(-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1662, 6623, 14886, 26451, 41318?\nAnswer: 59487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115516.\nAnswer: 2, 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588 divided by 147.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125785, -124038, -122291, -120544, -118797, -117050?\nAnswer: -115303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + 7. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151 or -145?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0497 and -1372441117.\nAnswer: -1372441116.9503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbfqqqqqxxqmafqqxf. What is prob of sequence mfxq?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 + -145. What is the second biggest value in -1, a, 5\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 26 = -2*c, 32 - 23 = -3*y - 209*c + 212*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**6\/360 + 5*j**4\/24 + j**3\/3 - 3*j. Let i(r) be the second derivative of h(r). Find the first derivative of i(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.1, -173\/3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 27. Let u be p(5). Let g = -78 - u. What is the units digit of (2 - g) + (-3 - 30\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/2 - (-28 - -21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-17)\/f**0 assuming f is positive.\nAnswer: f**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.5 - 16.4. Which is the nearest to d? (a) 5 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 2*k**4\/3 - 2*k. Let b(u) be the second derivative of u**4\/12 - 18*u. Calculate t(b(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14))**(1\/4) assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -328, -502?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 13965537?\nAnswer: 13965553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkoookookkkkkos. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10578*o. Let d(t) = 51*t - 30. Determine j(d(l)).\nAnswer: 539478*l - 317340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 16. Let r be k(6). Suppose 15 = -5*j + r. Sort -0.1, j, 0.02 in descending order.\nAnswer: 0.02, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)*n\/(n\/(n\/(n\/(n**(2\/7)\/n))))*n**(-2\/15)\/((n*n**(-10))\/n) assuming n is positive.\nAnswer: n**(3739\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7678247l?\nAnswer: 767.8247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/25)*k*k)\/k**(-32)*((k\/(k\/k**(-27)))\/k)**(15\/4) assuming k is positive.\nAnswer: k**(-1748\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 11*w**2 - 15*w + 19. Let c be o(10). Let d = c + 34. Is -2 + (-6 + d)*-79 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -15. Suppose c*m - 4 = -2*m. Suppose -m*h + 9 = -43. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 12:12 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282316*u**3 + 979009*u**2 wrt u.\nAnswer: 1693896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 32 = -4*k + y, -2*y + 16 = -4*k. Put 1\/8, k, -0.5 in descending order.\nAnswer: 1\/8, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13785 is divided by 511.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**5*(v**6*v)\/v**2)\/((v*v**(-3\/2))\/v*v**(2\/5))**(-48) assuming v is positive.\nAnswer: v**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2643.35562 microseconds to days.\nAnswer: 0.00000003059439375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 11*q**3 - 36*q**2 + 298*q + 24. What is the hundreds digit of c(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 19*g**2 + 12*g - 21. Calculate the least common multiple of 118 and j(9).\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 + 15 - -13) + (132\/(-15) - -1). Find z, given that 28\/5 + 29\/5*z + c*z**2 = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**25\/((w**3\/w)\/(w*w**3\/w*w*w)) assuming w is positive.\nAnswer: w**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 683996 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let u be ((-27)\/(-12))\/(3\/16). Suppose u = -4*a, -x = 5*a + 3 - 8. Let b(r) = x - 20 + 6*r. Determine p(b(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**7\/2520 - a**5\/20 + 2*a**2. Let m(i) be the third derivative of w(i). Let z(q) = -3*q**2. Determine m(z(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313568*g**2 - 273319*g**2 - 34579*g**2 + 158475*g**2.\nAnswer: -462991*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -191 - 181 + 574 + 2*h + 2*h**2 - 186 + 307*h**3. Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 - 5*w**2 - 3*w - 4. Suppose -3*l - 5 = 5*n - 2, n + 2*l - 5 = 0. What is the remainder when 161 is divided by t(n)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147753691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 6:00 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 2:41 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*s = -8*s - 816, -5*s = 4*p - 816. Find the first derivative of -18*n**3 + p + 63 - n**4 + 578*n - 578*n wrt n.\nAnswer: -4*n**3 - 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-4)\/(-3))\/(16\/24) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 85. Suppose -660 = k*m - 11*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = -3*a + 3*z, 0 = 2*a + 2*z + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -36, -42, -48, -54?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1254253620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - -0.09. Is -9 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*u + k, 2*k - 11 = 3*u + 2. Which is the second biggest value? (a) u (b) 72 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 0*d**2 + 8 - 2*d**4 - 2*d**2 + 0*d - 3*d to the form x*d + r + g*d**3 + p*d**4 + q*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5 - 5. Let d(q) be the second derivative of -7*q**3\/6 + q**2 + 3*q + 64. Let p(w) = 1 - 5 + 3 + w. What is u*p(f) - d(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14702*d**3 - 267*d**2 + 2 wrt d?\nAnswer: -88212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 13 = -55. Suppose 0 = 3*n - 5*n + w. What is the remainder when 32 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-30) - (-49)\/65. Let u be 30\/40 + (-29)\/28. What is the biggest value in u, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -26*4\/(-8) + 1*-1. Let y be (1 - d\/9)*3. Let o be ((1\/(-3))\/(-1))\/1. Which is the closest to 2? (a) y (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - d**2 + 0 + 4 - 2*d - 1. Suppose 2*r = 6*r - m - 7, 3 = -r + 5*m. What is l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*r - 1118*r + 39*r**2 - 36*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/18 + (-2)\/9. Suppose 0 = 2*b - 8 + 14, -5*n = 4*b + 57. Let v(i) = -i**2 - 3*i + 2. Let s(c) = 5*c**2 + 13*c - 9. Calculate n*v(z) + t*s(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 39*j**2 + 13600*j - 31219. Determine f(-351).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-11 + 10)*4)\/((-1)\/(-22)). Let m(i) = 24*i**2 + 5*i. Let f(g) = 5*g**2 + g. Determine o*f(x) - 4*m(x).\nAnswer: 14*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-132)*55*3\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22198353*y**4 + 22341609*y**2 - 2*y?\nAnswer: 532760472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 5, t: 3, i: 1, o: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 403787338 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 234\/56 - -2 - (-6 - -10) and -85\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-62)\/341 - 83657\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14449956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/80 + (-4)\/10)*-68. Let t = r + 81. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sww when three letters picked without replacement from hhhhssshswhhsshhhw.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let y(p) = -73*p**2 + 12. Determine c(y(s)).\nAnswer: -146*s**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27109714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.01856 (b) -2\/15 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/3 - 8*f**3\/3 + 361*f**2\/3 + 368*f\/3 = 0.\nAnswer: -23, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.63 + -3.73. What is the nearest to v in 2\/9, 4, 1\/3, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 3)\/(-3) + -21. Let b(l) = 9*l + 9. Let d be b(4). Let n = y + d. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(1\/7))**(-10\/9)\/((((z**(-1)*z)\/z)\/z*z*z)**3*((z*z**(-3\/5)\/z)\/z)\/(z*(z*z*z*(z*((z*z**(4\/5))\/z)\/z)\/z*z)\/z)) assuming z is positive.\nAnswer: z**(1751\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/(50\/(-16750)). Calculate the highest common divisor of x and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = 2*u + 2, 0 = 3*u - 3*d + 12. Let m(f) = f**2. Let s be m(u). Suppose -s*k + 2*k + 5*i = -11, -k = -i - 7. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 29*j = 24*j + 1258. Calculate the remainder when 0 - (44*1)\/(-1) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 2 - (4 - 42)) + 4. Suppose 0 = -40*z + h*z + 58. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158\/3 + -1115\/21. Which is the fourth biggest value? (a) 0.4 (b) -3\/10 (c) v (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + 0. Let b = 0.04 - x. Let u = b + -3.01. Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -0.2, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n. Let c be m(-1). Let v = c - 4. Let u be 6\/(-8)*2*-2. Calculate the highest common factor of v and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 29*a = 160. Are a and -20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2088783, 2088788, 2088793?\n\"Answer: 5*h + 2088778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d**2 - 1. Let s = 2 + -3. Let a be n(s). Suppose -a = -q + 98. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -656\/1545?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m*n**3*y + 2*m*n**3 + 3780726*m*n**2*r*y - 2*m*n**2*y + 16*m*y - 2*n**3*r + 2*n**2*y - 403*n**2 + r*y with respect to r.\nAnswer: 3780726*m*n**2*y - 2*n**3 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 + -0.07. Let p = a + -0.04. Let x = p - 0. Round x to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 25 = -25. Suppose j = 5*n + 3*v, n + v = 9 - 2. Let h = 1 - n. Do h and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-374)\/10. Let i = 38 - o. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*v + 39279463 + 11720529, 0 = 2*f - 2*v + 20399992. What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d + 1. Let c(x) = -2*x**2 + x + 4. Calculate -c(m) - q(m).\nAnswer: 3*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -17. Let h(u) = -u**3 + 17*u**2 + 2*u - 16. Let l be h(17). Calculate the highest common divisor of l and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icwiswiiwwwub. Give prob of sequence scub.\nAnswer: 1\/17160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44005\/29334 - -2\/14667. What is the biggest value in 2, 23, c?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o + 5*o - 10*o. Let g(c) = -6*c**2 - 3*c - 3. Let z(y) = -5*y**2 - 2*y - 2. Let d(x) = -2*g(x) + 3*z(x). Give p(d(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56240 and 4070?\nAnswer: 618640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llr when three letters picked without replacement from lrrrrrlrr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 546\/21695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 529*t + 9. Let a(k) = -38*k**2 + 3*k - 87. Calculate j(a(c)).\nAnswer: -20102*c**2 + 1587*c - 46014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-27 + -62)) + -125\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbyybbbyybyy. Give prob of picking 1 y and 1 b.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let v = -0.151 - 3.849. Which is the closest to v? (a) n (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 = 181*l + 772 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 301108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2*t**2*z + 8*q**2*t*z**2 + q**2*z**3 - 9*q*t**2*z**3 - q*t**2*z**2 - 4*z**2 wrt z.\nAnswer: 6*q**2 - 54*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -959, -996, -1051, -1124, -1215?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 18*l = 40*l. Solve 3*m + 15 - 30 = l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b - 12. Let u = b - -4. Let q(r) = r + 1. Suppose -4*c = 4*t - 40, -2*t + c - 8 = -4*c. Let x(h) = -7*h - 6. Determine t*q(g) + u*x(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*h + 2, 2*d - 14 = -5*h - 0*h. What is the smallest value in 0.3, h, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793874.7 rounded to the nearest one thousand?\nAnswer: 1794000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 + 0.37. What is the nearest to 0.1 in f, 1, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 27*w - 1. Let b = 0.1 + -0.1. What is the closest to w in -2\/11, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -784 + 797. Let g(u) = -69*u**3 + 172*u**3 - h*u**2 - 90*u**3 + 13. Let l(c) = 7*c**3 - 6*c**2 + 6. Calculate -6*g(x) + 13*l(x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 987, 982, 967, 936, 883, 802?\n\"Answer: -z**3 + z**2 - z + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = k - 773, -21*k - 247 = -p - 24*k. What is the greatest common factor of p and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-27) - 858\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*w - 2, 5*w = -z + 2*z + 8. Suppose -3*b + 540008 = 2*f, -w*f = -7*f + 20. What is b rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 5*n - 16. Let j be b(9). Let p = 73 + j. Suppose -3*y - p = -10*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112329807, -224659611, -336989415, -449319219, -561649023?\nAnswer: -673978827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(936*l - 3730*l + 655*l).\nAnswer: 4278*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2461225 + -772225. What is d rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 1036*t + 107262. Calculate b(-143).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3419350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*2*sqrt(121) + sqrt(121) + ((sqrt(121) + -1*sqrt(121))*4 - sqrt(121)))\/(-2*-2*sqrt(11) + 1*(sqrt(11) - sqrt(176))).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78393 or -78388?\nAnswer: -78388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*i + 4)*(28 + 4 - 166)*(0*i + 2*i - i).\nAnswer: 536*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 1. Let g be n(1). Let o be (-1)\/5 - (-21)\/g. Suppose -o*v - 3270 = -2*v - 5*d, -5*v = -d + 8152. Round v to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**(-1\/30)\/(m\/((m**(3\/4)\/m)\/m)*m**(-4)*m) assuming m is positive.\nAnswer: m**(43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -120708, 2\/3, 2\/13, 0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*4\/(-15). Let w be 3\/(-12) - (-19)\/(-4). Let y = 25 - 26. Which is the closest to y? (a) p (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291772 - -242170661\/830. Calculate the common denominator of -43\/65 and a.\nAnswer: 10790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/36)\/((-504)\/405)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 273*q + 40. What is the units digit of p(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) + (sqrt(1440) - ((-1*sqrt(1440) - sqrt(1440)) + sqrt(1440))) + sqrt(1440))\/(-2*sqrt(98)).\nAnswer: -24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*j - 4*p, -5*j + 8*p + 25 = 3*p. Let f be 406\/(-203)*(-10)\/2. Calculate the greatest common factor of j and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*m = -w + 16, -w = -2*m - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -14, 2, 1\/11, 37, 7 in ascending order.\nAnswer: -14, -12, 1\/11, 2, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 42 = 3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 51*k**2 - 121*k**2 - 65*k**2 - k**2 - 174*k**2 as c*k**2 + t + x*k and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v**1)\/((v\/(v*v**(-6)\/v))\/(v\/((v*v*v*v**(-4\/3))\/v))))\/(v*v**(-3)*v**(1\/3))**(1\/70) assuming v is positive.\nAnswer: v**(-93\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674940 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -25 - 1\/4*u**2 - 101\/4*u = 0. What is u?\nAnswer: -100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 8*h**2 - 8*h + 2. Let s be t(9). Let b(v) = v - 11. Let c be b(s). Solve w = -a, -a - 2*a + 5*w = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-46)\/(-6). Let j(b) = -1 + 11*b - s*b + 1. Let l(t) = -3*t. Determine 4*j(c) + 5*l(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1920 divided by 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 0*c)*(-6*c + 10*c - 2 + 9).\nAnswer: 4*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.693754 years to decades.\nAnswer: 0.8693754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -a0?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 10 - (8 + 0 + -2 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w - 836 + 836)*(10 - 10 - 8*w)*(-2 + 2*w + 2).\nAnswer: 320*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((0 + -2)\/(-2))\/((-5)\/(-5)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 3*p**4\/4 + p**3\/3 - 518*p**2. Calculate f(-5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*4*6 + (sqrt(3) + 0)*5)**2 - (sqrt(21)\/sqrt(7) + -4 + sqrt(2352))**2.\nAnswer: -16 + 232*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 132597 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 28\/1226461?\nAnswer: 28\/1226461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1100 + -1099. Does -2\/727 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**17*g*g)*g*g**(-13)\/g assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131070421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.023487, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -188478 divided by 6?\nAnswer: -31413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 18*o - 17. Calculate the remainder when m(-10) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let g = -18748\/103 + 182. Let p = g + 220\/721. Which is the nearest to l? (a) 0 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5459\/410 + 222\/41. Calculate the common denominator of o and -59\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 3198960.\nAnswer: 3198960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54800.75l?\nAnswer: 54800750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/383688 and 115\/72?\nAnswer: 383688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1371 - 1370.9999957592. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 12) to base 11\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33115.86 milliseconds to minutes.\nAnswer: 0.551931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17*x**3 - 4*x**2. Suppose -j + 3 + 1 = 0, 4*s + 3*j + 40 = 0. Let b(i) = -8*i**3 + 2*i**2. Let d = -605 + 599. Give d*c(y) + s*b(y).\nAnswer: 2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = u - 15*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w + 36. Suppose 5*s = 3*m + 6, m + 0*s + 3*s = w. Solve 2*k - 10 = -m*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-13 + 24 - 16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 717 - 712. Let g(u) be the first derivative of 0*u + 9\/5*u**a + 0*u**4 + 0*u**3 + 2*u**2 - 2. What is the second derivative of g(b) wrt b?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 77.0254.\nAnswer: -10.0254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 140000. Let v be r(0). What is v rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 744, 1513, 2294, 3093, 3916, 4769, 5658, 6589?\n\"Answer: x**3 + 762*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*j - 10460 - 133851, 2*j = -3*m + 432957. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14465314.8 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1622 + -18 - (1 + 4). Round l to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5 + 6*s**4 - 12*s**3 + 8*s**2 = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/2 of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**5 + 93*u**4 + 12*u**3 - 5048*u**2 + 28*u wrt u.\nAnswer: -240*u**2 + 2232*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.7188 + 7.5188. Suppose -d = 4*d + 5. Sort d, -11, y.\nAnswer: -11, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -3. Let o be 5*1\/55*v. Which is the second smallest value? (a) o (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298830 to the power of 1\/2, to the nearest integer?\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(5500)*-5)\/(1*2*sqrt(1331)*4).\nAnswer: 75*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 1:54 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = -4*w + 1, 2*n - 22 = -3*w. Let p(r) = -8*r + 27. Give p(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-24) - 11\/(-4) - -3. Find the common denominator of -551*(-4)\/(-416) + b and 33\/14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55\/129 - 3421\/258. What is the common denominator of a and 1521\/162 + -1*4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/((-5)\/(-1050)). Let x be (-1)\/(-3) + a\/18. Suppose 2*k - k = -4*m + 58, -2*k + 74 = x*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 3. Let n(f) = -9*f + 6. Let a(o) = -4*n(o) + 10*x(o). What is the remainder when a(-7) is divided by (-106)\/(-9) - 4\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9318734567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -19\/6*x**4 - 9\/2*x**3 + 25*x + 0*x**2 + 0. Find the second derivative of r(y) wrt y.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/(1\/(-3)). List the prime factors of 14*((-3)\/3)\/n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbbugqggquggg. Give prob of sequence bb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.41 + -0.459. Round w to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2859.\nAnswer: -285.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -5)*-4 - -5. Suppose 215 = -4*r + t*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36283 * -0.2.\nAnswer: -7256.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 1635\/108)*(-4)\/1?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:04 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 355*j - 14*j**2 - 355*j.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 61*y**4 + 256*y**2 - y + 438. What is the second derivative of n(s) wrt s?\nAnswer: 1464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10080, 20348, 30610, 40866, 51116?\n\"Answer: -3*k**2 + 10277*k - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141031492 to the nearest integer?\nAnswer: 11876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.01?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -269 and -2.\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 + 6*p - 1. Is 13 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(245) - (-1 + sqrt(245))) + -4 + 5 + -2)*-6)**2*-1 + -2)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + 11*g - 4. Let c be w(5). Let b = -21 - c. Suppose -b*f + 218 = -2143. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 156*j**2 - 2834*j - 20. Give c(19).\nAnswer: 2450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 17 = -2*w, 0 = -d + 5*w - 20. Is d smaller than 1\/3726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 5*y + 21. Let c(d) = -d**2 + 3*d + 11. Let j(l) = -5*c(l) + 3*k(l). Let x(h) = 3*h**2 - 5872 + 11747 - 5875. Give x(j(t)).\nAnswer: 48*t**4 - 192*t**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-30)*2*3. What is the nearest to 2\/9 in a, -4, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07635 times -1.0273\nAnswer: 0.078434355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 12*n. Let x be u(5). What is the greatest common factor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -660*l**3 - 10*l**2 + 10*l - 10. Let z(j) = -220*j**3 - 3*j**2 + 3*j - 3. Give 3*o(n) - 10*z(n).\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10032 by 2.\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31.805 decades?\nAnswer: 318.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*v = 2*v + 40, 4*v = -2*m - 14. Let o(s) = -s**2 - 15*s + 27. Let c be o(m). Let x be (6\/c + (-214)\/(-9))*-1. Is x less than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.253 + -5.253. Which is the third biggest value? (a) -3\/4 (b) -1\/9 (c) p (d) -0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -590*1*2\/(-2). Let y = -87819 - -87839. Calculate the greatest common divisor of w and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 41934*z - 20785*z - 20923*z + 135*z**2 wrt z.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4114041 - 230?\nAnswer: 4113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04669280134 rounded to 5 dps?\nAnswer: 0.04669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(190) - (sqrt(190)*1 + sqrt(190)) - sqrt(190)))\/(sqrt(1000) - (sqrt(1000) - (sqrt(1000) + sqrt(1000) + sqrt(1000)*2))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 - 6*i + 7. Let w be f(5). Suppose -n + 45 = -4*l, w*l = -7*n + 3*n + 216. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -507\/4 + 128. Let v be 11 + ((-27)\/6 - 6). Which is the nearest to v? (a) -0.3 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2006\/3 (b) 31\/7 (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-202)\/(((-5)\/10)\/(2\/(-8))). Let y = -80 - r. Calculate the highest common factor of y and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218022 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d. Let u(r) = 16*r - 4. Let l(v) = -17*v + 3. Let q(a) = 4*l(a) + 3*u(a). Give o(q(i)).\nAnswer: 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-2)\/6) - -217. Let f = -4068\/19 + h. Suppose 4*w + 9 - 47 = v, 3*w + 4*v = 19. Which is the smallest value? (a) 1\/8 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2002735?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 12*a + 14. Let h be p(11). Suppose -6*n**h + 3*n**3 - 175 + 2*n**3 + 177 + 3*n = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2268)*2 + sqrt(2268))\/(-3*sqrt(81) - -1*sqrt(324)).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137348049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 5, 0 in ascending order.\nAnswer: -13, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:18 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 1467 = -10*z. Suppose 4*p - 571 = z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1787 * 1755.\nAnswer: -3136185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 26082240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 - 2*o - o**3 + 4 + 2*o**3 - o - 3*o**2. Determine n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -4)\/18)\/((-1)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 3:38 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) - -20*(-3)\/252. Let h = -1.6 - -0.6. Suppose 3*u = 8*u - 25. Which is the second biggest value? (a) y (b) 0.06 (c) h (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*a**3*c + 525*a**3 + 3*a**2*c - 32*a**2 - 34*c wrt a?\nAnswer: -144*c + 3150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94244.9399984 - 94236.94. Let j = 8 - g. Round j to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 20 = 4*o, -3*o - 20 = -66*t + 70*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*z - 67239 + 67239.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2982*w. Let z(o) = 6*o + 37*o**2 + 4*o - 35*o**2 - 10*o. Calculate z(i(a)).\nAnswer: 17784648*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -176.1. Which is the biggest value? (a) -41 (b) i (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9849 and -5\/35376.\nAnswer: 1733424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30898340.\nAnswer: 2, 5, 11, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -34\/5903185 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -194*i**4 - 11*i**3\/3 - 23*i**2\/2 - 826*i. What is the second derivative of l(k) wrt k?\nAnswer: -4656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/11)*p*p)**6)**(-20)*(p*p**(-2\/5))**46\/(p\/(p*p**(-2)*p*p))**(-20) assuming p is positive.\nAnswer: p**(-17082\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/12, 0.2, 787, 4.6, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 - 38358*b**2 - 143474067*b - 166867879812 = 0.\nAnswer: -7244, -2771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:33 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 4195*f**2 - 99*f - 123. Let l(j) = -j**3 - 1398*j**2 - 33*j - 40. Let x(b) = 10*l(b) - 3*m(b). What is the second derivative of x(a) wrt a?\nAnswer: -6*a - 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3158?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1375 * -620\nAnswer: 85.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -12833101?\nAnswer: 18\/12833101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/11))**18\/((s**(-22)*s)\/s**17) assuming s is positive.\nAnswer: s**(490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.0834 + -0.0166. Let v = z - -38.09412. What is v rounded to four decimal places?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33853 - 43365695\/1281. Let r = -5014\/70455 + m. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191681.\nAnswer: 7, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124606829?\nAnswer: 19, 461, 356731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 2*n**3 + 2*n**3)*(6*n - 2*n - 3*n) - 32*n**5 - 45*n**5 + 56*n**5.\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4 - (-21)\/14. Let r be 44\/10 + ((-10)\/(-25))\/j. Solve -r*q + 1 + 5 = 2*s, 2*q - 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2100, 2102, 2110, 2130, 2168?\n\"Answer: v**3 - 3*v**2 + 4*v + 2098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k + 1. Let y = 34 - 32. Determine w(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -316.25 + 317.08. Which is the third biggest value? (a) -2 (b) -1 (c) -3\/4 (d) 3 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:38 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-10 - -2 - -9 - 12) - (1 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Which is the third smallest value? (a) z (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -14\/45*p**5 + 5\/6*p**4 + 1\/27*p**6 - 26\/27*p**3 + 0*p + 4\/9*p**2 - 38. Solve y(x) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72496096\/3 bigger than -24165364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/4*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -26109.\nAnswer: 26109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = 2*l. Suppose 0 = 5*s - 4*s - 4. Solve s*u = -0*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 1251 = x. Let k = x + -132. Which is smaller: 15\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-47 + (-28 - -76))\/(2\/4 - 1). Which is smaller: 3.519 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 4:00 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 770321557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0 - 5*s**2 + 4*s**3 + 0*s**3 + 3*s - s + 3. Let j(f) = f**3 - f**2 + 1. Determine -5*j(g) + u(g).\nAnswer: -g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 1237899.\nAnswer: -124\/1237899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4667, -9324, -13981, -18638, -23295?\nAnswer: -27952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = y + 11, -20 = 5*h + 4*y. What is the thousands digit of (1105 - h) + (-6 + 2 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 11561?\nAnswer: -11555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 22*u**2 - 22*u - 11. Suppose -381 - 259 = -117*f + 2051. Determine g(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, 105, 10, 1, 2\/15, -2\/15, 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.9086ug to kilograms.\nAnswer: 0.0000000249086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 2. Let v(d) = -5*d - 471. Give -12*f(b) + 3*v(b).\nAnswer: -3*b - 1437","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 909278273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, 4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1090161 (base 11) to base 4.\nAnswer: 13100232132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -97. Suppose 3*j + x*j = -2*o + 19, 4*o = 4*j - 12. Sort 15, 2, j.\nAnswer: 2, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3010)\/602)\/((-5)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133838 divided by -4.\nAnswer: -66919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, 283, 1801, 4757, 9631, 16903, 27053?\nAnswer: 40561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*l - 20 = 130*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 2*m + m)*(-1 + 1 - 1)*(3 + 4 - 5) + 73*m + 12*m + 395*m as w*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 140357747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1296)*-1 + -2*sqrt(9)*2)\/(6*(sqrt(363)*-1 + sqrt(363) - sqrt(363))).\nAnswer: -4 + 8*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b - 15 - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24 = 6*p. Suppose 969 + 135 = p*i. Let a = -105 + i. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -3 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/6)*z**(-7) assuming z is positive.\nAnswer: z**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 0.81. Sort i, -1\/7, 5 in increasing order.\nAnswer: i, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = 20*c - 51*c. Solve -c = 12*v - 9*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325\/1690 - (-38580)\/(-520)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 151?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 + 1 - (-2 - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*v + 28, 0 = 7*v - 5*v - 10. Calculate the least common multiple of (-3)\/5 + (-23)\/(-5) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -397, 3, -10.\nAnswer: -397, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 18*s + 6. Let j(o) = o - 1. Let y(q) = -g(q) - 6*j(q). Let a(x) = -2*x**2. Give y(a(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 + ((-5535)\/((-855)\/19) - (-68)\/4)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*a = -4, -3*j + 0*j = -3*a. Let h be j\/(-3) + (0 - 0). Let m(q) = -q**3 + 5*q**2 + q + 30. Let b be m(6). Do h and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -889 + 5395\/6. Let r be 6\/56*-10*(-192)\/(-688). Let j = 17573\/5418 + r. Calculate the common denominator of s and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-960)\/(-256)*-4*(-11)\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2 - 105. Let g(k) be the second derivative of 0*k**2 - k + 23\/6*k**3 + 0. What is g(x(d))?\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146*q**4 - 4*q**3 + 1888 wrt q.\nAnswer: -584*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5 - 28*q - q**3 + 3*q**4 - 2 + 50*q**2 - 52*q**2 as a*q**2 + h*q + p*q**4 + y*q**3 + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333606092?\nAnswer: 2, 83401523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 427, 28, 1\/2, 1\/9, -1\/4, 16\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4778669.699601 - -4778673. Let n = a + -22.3004012. Let f = n - -19. Round f to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 - 2*a + 1. Let w be d(-2). Let t = -5 + w. Suppose 3*u = 5*h - 37, t*h - h - 5*u - 19 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 22. Let l = f + 6. What is the closest to 0 in 4\/7, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from uupiuiipuii?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/11, 10, -5, 34\/5, 0.1, 6, -2?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 1. Let t be x(-5). Let r = t + -15. Let h = r + -4. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/18098669 or 0?\nAnswer: 8\/18098669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3393*w - 2 - 257*w + 1025*w - 5 - 562*w.\nAnswer: 3599*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 6\/10 + 4292\/(-370). Let t(x) = -26*x - 6. Let w(d) = -9*d - 2. Give q*w(n) + 4*t(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 374\/9 (b) 9 (c) -463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -5\/3 (c) 8 (d) 865 (e) 0.189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(5 + 5 - 19)*(-4 - o**5 + 4).\nAnswer: 27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650891 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 - f - 3. Let x be s(-4). Let q = x - -18. Suppose -4*c = -q*c - 7600000. 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: Find the second derivative of 2*u**5 - u**4 + 392406*u**3 + 6210626*u wrt u.\nAnswer: 40*u**3 - 12*u**2 + 2354436*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(3 - 3). Suppose 0 = 3*f + f + 16. Sort -5, f, c in decreasing order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -242705 and -4.\nAnswer: -242709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 854545608 to the power of 1\/2, to the nearest integer?\nAnswer: 29233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6466150*l**2*p - l*p + 133094*l - 15 wrt l.\nAnswer: -12932300*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:38 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/13, 13\/16, -168.3, 23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 313*n**2 + 15*n + 39. Is a(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410960313 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 494*q - 117. Let y(a) = -17*a + 4. Let g(k) = -4*h(k) - 117*y(k). Let n(o) = 7*o**2. Give n(g(v)).\nAnswer: 1183*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4111\/8 - -523. Calculate the common denominator of l and (41\/6)\/(484\/88).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -49?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 2\/(-7) - 552\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15) + -9 + 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215908 and 55748.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 5, -2\/15, -5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 1529012?\nAnswer: 140669104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 6, h: 1, v: 6, z: 1}. Give prob of picking 1 h and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(2\/(-28))\/(10\/(-35)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.314 + 3.814. Which is the second smallest value? (a) 0.355 (b) y (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 19*t**2 + 22*t - 31. What is o(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3268, -4\/11 in increasing order.\nAnswer: -3268, -2, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 51. Let s(z) = -5*z**2 - 2*z + 3. Let f(b) = b. Let w(i) = k*s(i) - 2*f(i). Find the first derivative of w(m) wrt m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7644*l*n + 1665*l + 2 wrt n.\nAnswer: 7644*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 560577262.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 586?\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)*((-357)\/34 + 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(3\/72*-21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.468955 and 33.\nAnswer: 32.531045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 33 (b) 5 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y - 139. Let q be h(-21). Let p be (-1)\/1*0*-1. Let k be 12 + (-1)\/(-2)*p. What is the highest common factor of k and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - -7. Let y = -34 + z. Put -2\/11, 4, y, -0.25 in decreasing order.\nAnswer: 4, -2\/11, -0.25, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96331927*k**2 - 132813852*k wrt k.\nAnswer: -192663854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from {a: 2, k: 1, f: 4, o: 2, u: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495 = 52*i - 807 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 4*b - 10*b - 14*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 2\/3, 1\/3, -2\/167, 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -8652.6.\nAnswer: 43263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8076)\/(-14) - 10\/(-70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 1. Let k(y) = -16*y**2 - 2*y + 1. Calculate k(n) - 2*l(n).\nAnswer: -6*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 6, h + 4*d - 19 = 14. Is (-278)\/(-5) + 18\/h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 20. Let b be 6\/u*-2*3. What is the greatest common divisor of b and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*u + 2*u. Let k = u - -9. Suppose 573 = 3*h - c + 4*c, -h + k*c = -167. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 2367301.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5322 + 24331. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 74*b - 71. Give r(-38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u + 9*u + 60 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 - -196. What is the units digit of (-19971)\/(-19) + 12\/570*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12166950013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let t be (0 + 1\/3)*(-8 - -8). Suppose 6*l - 126 + 12 = t. Which is the biggest value? (a) 5 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ecewekqeeqeqe?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 2, y: 1, u: 4, b: 2}. What is prob of sequence cyc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j)**(-22)\/((j*((j\/(j**(-1)\/j))\/j)\/j)\/j**6)*((j*j*j**(1\/3)*j*j*j)**(-34))**7 assuming j is positive.\nAnswer: j**(-3664\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 2, d: 1}. What is prob of picking 1 u and 1 p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - 3*d**2)*(0*d**2 + 0*d**2 - d**2) + (3 + 2*d - 3)*(1 - 1 + 1)*(2*d**3 - 3*d**3 - 3*d**3).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4424 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 803375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -35.4672.\nAnswer: -10.64016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 4*p**2 + 4*p**2)*(-6*p + 13*p + 41*p).\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 10*f + 123. What is the remainder when 490 is divided by m(0)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 243 = 249 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6584638 a multiple of 1401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-2 + 12 + -10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 5, q: 1, v: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13978 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = q - 90, 0 = -4*q - 2*f + 290. Let w be (-40)\/(-260) + (-4352)\/(-104). Calculate the highest common divisor of w and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 5:49 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 677047 and 1160652.\nAnswer: 8124564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)\/(u**(-4)\/u))\/(u*u\/((u\/u**(-1))\/u*u)*u**(-1\/13)) assuming u is positive.\nAnswer: u**(343\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 - 4*q + 4. Let t(b) = 4*b**2 - 3*b + 3. Let z(a) = 3*o(a) - 4*t(a). Let f(h) be the first derivative of 6*h**3 - 2. Calculate z(f(p)).\nAnswer: -324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24d8 - -557?\nAnswer: 2a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 - 53*z + 69. What is t(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1189 + -5?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/12 - 5*z**4\/12 - 3*z**3 - 29*z**2. What is the hundreds digit of u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3887 divide 90951913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a - 4*a + 2*a. Let k be (-4 + 116\/20)*15. Let l(i) = -27*i + 2*i**2 + k*i. Determine n(l(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 6. Let h be (v\/(-147))\/(1\/(-7)). Let j(x) = -x - 1. Let l be j(-2). Is h smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-105)\/(-9)))\/(18\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -16 + 2. Differentiate 61 - 21*f + u - 20 with respect to f.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562.10633 rounded to 0 dps?\nAnswer: -3562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9))**2*o**(-8)\/((o**(-2)\/o)\/o))**(-11) assuming o is positive.\nAnswer: o**(440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:55 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 2, 71, 1, 21 in ascending order.\nAnswer: -6, 1, 2, 4, 21, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3 - 1 + 3 + 2*w. Let t be 2*-1 - (0 + 1). Let c(l) = 2*l + 4. Let h(s) = -3*s - 5. Let y(b) = 4*c(b) + 3*h(b). Calculate t*y(o) - g(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521359981?\nAnswer: 19, 27439999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -6 (c) -5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -104 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536492.\nAnswer: 2, 3, 19, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) + (-319)\/(-87). Let s(u) be the first derivative of u**4 - 4 + 1\/2*u**2 + 0*u**t + 0*u. What is the second derivative of s(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j - 33*j = 659 + 4587 + 1251 for j.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqyzwyd. Give prob of picking 1 q and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 9. Let g be p(-8). Let x be ((14 - -2) + 2)*g\/(-2). Which is smaller: x or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -45, 19.\nAnswer: -45, -2\/13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -138*c**2 + 3373*c - 25. Is r(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-156)*(-8 + 4) + 12 + (-20040)\/1944\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.492 + -16.1. Let p = 0.6 + g. What is p rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + -4 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrbvbvrkrsr. What is prob of sequence bbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 0. Let n be (-3 + 27)\/(2\/(-2)*1). Let m be n\/30*(-30)\/12. Sort m, -1\/9, t.\nAnswer: t, -1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 6\/4)*(-24)\/15. What is the tens digit of (1 - 809)\/(t*(-10)\/40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k + k**3 - 112*k - 234*k - 7*k**2 - 79*k.\nAnswer: k**3 - 7*k**2 - 474*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1.12. Let l = -7.88 - 0.14. Let m = l - w. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*c**3 - 100*c**3 + 54*c**3.\nAnswer: -85*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*p + 3495 = 0, 688 = -4*h + 3*p + 3483. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*f**2 + 4*f - 3475 - 74*f**2 + 2258 + (-2*f**2 + 3*f - 3*f)*(-6 + 1 + 4) + 2*f**2 - 2*f**2 + 3*f**2 to a + n*f**2 + z*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. What are the prime factors of (-37)\/(-1) + f\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w. Let j(l) = 8021*l**2. What is x(j(y))?\nAnswer: 184483*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 21*c - 92. What is p(21)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 48 + -13 + -13 + -32?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - d + 4. Suppose -3*u + 3*o + 85 = 94, 0 = -2*u - o + 3. Calculate a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/115 and 11\/137930?\nAnswer: 3172390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -5*d - 18*d. Let r(p) = -9*p - 18. Let g be r(-15). Suppose 11*q - g = 8*q. Calculate the remainder when q is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -677\/5313 + 1\/161. Let f = r + 5\/11. Let z = -76 - -455\/6. Which is the nearest to f? (a) 2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:23 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*a*f**4*x + 6043*a*f**4 - 5*a*f**2*x + 2*a*f**2 + 9*a*f - 15*a*x - 8*f**2*x wrt f.\nAnswer: 768*a*f*x + 145032*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38955719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 - 8 = 0. Suppose -2*s - 72 = -2*y, 3*y + s - 173 = -53. Calculate the remainder when y is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -9*g + 24. Let w = 8 + g. Suppose 2*j - 7 = -q, -7*j + 2*j - 4*q + w = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15937 and -0.2334.\nAnswer: 3719.6958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/27 and -145\/366?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1505856192 divided by -3\nAnswer: -501952064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -2*g**5 + 3*g**2\/2 + 7. Find the second derivative of r(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3. Let j(f) = -f - 7. Let c(w) = 1. Let n(x) = -6*c(x) - j(x). What is n(d) - v(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 + 46*t + 41. Let u be n(-18). Let s = u - 730. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -175?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, r: 3, m: 4}. Give prob of picking 4 m.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1\/3*v**6 + 52 + 0*v**4 + 13*v**2 - 1\/5*v**5 - v**3 + 0*v. Find the third derivative of y(z) wrt z.\nAnswer: 120*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547 - 145 - 133 + 7*u**2 - 134 - 135.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 326 - 448. Calculate the greatest common divisor of 2537 and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -7278150, 0.5 in ascending order.\nAnswer: -7278150, 0.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**4 - 104*d**2 - d**4 - d**4 + 0*d**4 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 54. Let s(x) = 2*x - 27. Let c(j) = 2*l(j) - 5*s(j). Let w be c(11). Solve -w*t = -14 - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(5*r - 3*r + 3*r) + (4 - 2*r - 4)*(-4 + 2 - 1).\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6843.232g?\nAnswer: 6843232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -805*i**2 + 4*i + 5. Let z be t(-1). Let l = -728 - z. Is 51 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3615203 (base 8) to base 5.\nAnswer: 223133302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(3) + (sqrt(3) - sqrt(24)\/sqrt(200)))*-3*-6)**2.\nAnswer: 350892\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-17 - -2)) + (0 - (28 - 2))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 1974.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 - 11*u + 12. Let x be f(-7). Let r be (-3 - (x - -1)) + -2. Suppose -45 = -3*d + r*n, 0 = -d - 2*n + 7*n + 3. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -501*o + 519 wrt o.\nAnswer: -501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-2 - 1) + (5 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -3*j - 4*a, 2*j + 3*a = 49 + 54. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = -28*z + 870. Let l be (-4)\/(-1) + 0\/(-2). Suppose 62 = -l*q + z. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 31*j - 10. Let r be g(26). Suppose -3*t + v = -33, -5*t + 2*t = -2*v - 36. Calculate the highest common factor of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 11*o. Suppose z = 5*k + 84, 31*k - 32*k = 5*z - 4. Is s(k) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -58. Let q be 9\/(-12)*-6*f\/(-3). Solve -q*v + 2 - 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let x = 7.5999 + -4.5999. What is the nearest to 1\/4 in a, 5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7440\/(-1)*(-50)\/4. Round f to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586 (base 9) to base 8.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 13, 4 in ascending order.\nAnswer: -28, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h*h\/h**(-4)))\/h)\/h)**(-12\/7)\/(h**17*h**13))**(2\/95) assuming h is positive.\nAnswer: h**(-36\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16933111, 16933115, 16933119, 16933123?\nAnswer: 16933127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14634 is divided by 3630.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.05187l to millilitres.\nAnswer: 58051.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let a = 44425375.99999985 - 44425377. Let y = a + x. What is y rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*-5 - (-1*sqrt(70) + sqrt(70))*-5)\/(6*(sqrt(10) - (sqrt(10) - (sqrt(10) + (sqrt(490) - sqrt(490)*4 - sqrt(490)) + sqrt(10))))))**2.\nAnswer: 175\/6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 3. Let d(h) = -3*h**2 + 56*h + 5. Let m be d(20). Let p = m - -78. Give c(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -354?\nAnswer: -3186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-108)*-3 - (-725)\/(-660) and -40\/121.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37823911 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j*j)\/j*j\/j**(2\/13)*(j*j\/(j**2\/j))\/(j\/j**(-2\/3)))\/(j**10\/j**2)**(-4\/15) assuming j is positive.\nAnswer: j**(841\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3746, -6351, -8936, -11501, -14046, -16571?\n\"Answer: 10*d**2 - 2635*d - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -280.6? (a) -3 (b) -1 (c) 2 (d) 2\/25401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*s - 43 = 0, -4*w - 4*s + 4 = 52. Let d = -0.632 + 0.232. Which is the second smallest value? (a) -1\/2 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j + 3 = 57 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/36*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2225948.54 rounded to the nearest 100?\nAnswer: -2225900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -871 less than or equal to -793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 85 + 189 = 0. Let d(l) = -1478 + 6*l**3 + 1487 + q*l**3 - 13*l. Let g(z) = 9*z**3 - 6*z + 4. Calculate 6*d(f) - 13*g(f).\nAnswer: -3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11805\/11 - -1073. Let u = 0.6 - 0.9. Let j = u + 0.2. What is the nearest to j in i, 0.1, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.82 + -1.72. Let h = q + -11.6. What is the nearest to 1.2 in 4, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/16 - 1\/(-4). Let h be (-247)\/w - (-4)\/12. Let d = 127 + h. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 7. Let p be l(6). Suppose 5*r + 0*z - z = 52, -2*r + 30 = -p*z. Suppose r = f - 0*f. What is the remainder when 18 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1149 - 640. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59250197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:40 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.222 and -2.0539.\nAnswer: -1.8319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 3)\/(3 + -6). Calculate the remainder when 6 - (4 + (w - 3)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (50\/(-15))\/(-2 - 141\/(-72)). Let n = -80 + u. Does 11 divide (132 - 7 - (n - -1)) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 11*f**7\/210 - 21*f**4\/4 + 20*f**3\/3 - 111. Let w(c) be the third derivative of q(c). Differentiate w(o) wrt o.\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 16*f = -21*f + 41, 2*f = 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 77?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 5 = 5*d + 14 - 7, 0 = -2*d - 5*u + 1 + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - w - 1. Let q be n(-1). Let p be 334\/(-9) + q\/(-36). Let k = p + 58. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 559 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32c75 + -21?\nAnswer: -32c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 2*c + 3. Let y be b(-2). Suppose 3*s = -5*i + 155, y*i + 0*i = 3. Suppose -x + s = x. Solve -x = a + 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w**2 - 12*w**2 + 2 + 10*w**2 to l + t*w**2 + p*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -19. Let d = k - 7. Let m = 9 + d. What is the third biggest value in 5, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 7326?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/156 and -99\/68.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17600, -2, 1, 5, 18 in increasing order.\nAnswer: -17600, -2, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573764 divided by 764.\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - w + 1433 = 0, 0 = -g + 4*w + 313 - 39. Suppose 0 = 3*d - 3*o - 1122, g = -d - 5*o + 684. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 33 = -0*l. What are the prime factors of (l\/4)\/(3\/(-72))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/9, 221, -0.1 in decreasing order.\nAnswer: 221, 0.3, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 175*d - 179*d + 10, 2*r = -3*d + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.839 + -5.8. Let r = n + 72.961. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c, -120*f + 115*f - 4*c - 93348 = 0. What is f rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - t + 0*t = -16, -2*t = -5*x + 45. Suppose -l - x + 12 = 0. Suppose l*m - m - 16 = 0. Solve -2*u - 5*v - 22 = -v, v + m = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 3*f**3 + f**3)*(4*f + 0*f - f) + 2*f**3 + 2*f**4 - 2*f**3.\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*b - 3*l, 781*l - 25 = b + 786*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {g: 1, p: 2, e: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3274652um to kilometers.\nAnswer: 0.0000000003274652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.3592 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*l*o**3 + 79645*l*o**2 - 74174*l*o + 3*l + 486 wrt o?\nAnswer: -660*l*o + 159290*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -390*o - 35. Suppose 76*w = -48*w - 2753 - 1587. Let h(l) = 23*l + 2. Give w*h(n) - 2*i(n).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/6)\/(-173*254\/(-197739)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) 3\/2 (c) 2 (d) 2.3 (e) -11 (f) 15 (g) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/131 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1637767\/910 + 50632\/35. Suppose 714 = -2*i + 2*u, 2*i - 4*u = -412 - 310. Let s = i - b. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/60 - 5*f**4\/24 + 11*f**3\/6 - 30*f**2. Let x be z(3). Solve -3 = 2*w + d + 5, 5*d - 35 = x*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541626, -541651, -541674, -541695, -541714, -541731, -541746?\nAnswer: -541759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4 - 33*j**3 - 2288*j - 1 wrt j?\nAnswer: 24*j**2 - 198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*u - 10, 0 = u - 5*l - 14 - 0. Let b be 6\/9*u - -10*3. Suppose -71*t + 73*t = -b. Is -12 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34676 - 8727 - 8647 - 8648 + 6*z - 8654.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12880 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353 - 10. Suppose -11*j + 47324 = g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791*y - 394*y - 404*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-35)\/4)\/(-1))\/(1\/8). Suppose 0 = -4*d + p + 242. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -281.9512 + -0.0488. Let d = -278 - q. Which is the third smallest value? (a) 15 (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365071.\nAnswer: 7, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 divided by 2.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13341276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -39, -56, -79, -108, -143, -184?\n\"Answer: -3*u**2 - 2*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-18)*18\/21 + 4754325\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 20 - 5. Solve -2*v + c*v + 19 = 4*r, 3*v = 5*r - 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2. Let d(i) = -2*i**2 + 0*i**2 - i**2 + 2*i**2. Suppose -3*f + 2*s - 15 = 0, -f - 67*s + 12 = -62*s. Give f*d(n) + a(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:37 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -110, -114, -120, -128, -138, -150, -164?\n\"Answer: -x**2 - x - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 11:56 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 + 88*d**2 + 404*d + 312 = 0?\nAnswer: -3, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-5966.\nAnswer: 53694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:56 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n - 54*n = 3014. What is the remainder when n is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 13. Let b be g(-17). Suppose 3*x - 26 = -5*v, -b*v + 8*v - 22 = -3*x. Suppose 0 = -2*d - x*h + 14, -6*h + h - 25 = 0. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 2. Let x(b) = -b**2 + 5*b. Let p be x(4). List the prime factors of h(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/67, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4256 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -674.99998296 - -675. What is o rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120978, 121614, 122250, 122886, 123522, 124158?\nAnswer: 124794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102433552 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 40. Suppose -3*z**y - 2*z**2 + 4*z**2 + 3 + 16*z + 7 - z**3 = 0. What is z?\nAnswer: -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 47*q**2 - 368*q + 10. Give g(54).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 1:16 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfg when three letters picked without replacement from rrgrggfrrrgrgglrffgf?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -549, -832, -1131, -1452, -1801?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*t - 16 = 2*o, 4*t = 3*o + 34. Let b be (-5)\/30*-8*o\/(-4). Solve s + 20 = b*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, b: 2, i: 2, e: 3, q: 1}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u. Let v(x) = -7*x. Let o(p) = 6*a(p) + 5*v(p). Let c(f) = f**2 + 5*f - 10. Let h be c(-7). Let n(q) = h*q - 4*q + 2*q. What is n(o(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f - 113. Let z be p(-22). Calculate the greatest common factor of 205 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-6)\/10)\/((-8)\/(-20)). Is n greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235686130 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45102042 is divided by 24932.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**46\/((((o*o**(-5\/2))\/o)\/o)\/(o*o\/(o*o**4*o)*o)) assuming o is positive.\nAnswer: o**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11882*a - 344436. What is b(-29)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 4*j = -21. Let b(d) = d + 5. Let l(o) = -1. Give j*b(c) - 15*l(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.379556 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:50 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 + -6 - (2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdh when four letters picked without replacement from tddsdhthddthh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 42 = 36*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c = -4*i + 303167 - 303219, 33*i = -5*c + 179 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 620.172 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.29 - 0.21. Let j = 4 + o. Sort j, 3, 4 in decreasing order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 1) + (38 + -22 - (-6 + -2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33071 take away -248812?\nAnswer: 248812.33071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 + 931*w + 4664. Determine p(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/30 - l**3\/6 + 36*l**2. Let z be b(-4). Let u be (z\/10)\/(44\/20 - 2). Which is greater: -17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = -25. Suppose 6 = -2*r, -t*h - 3*r = 2*r + 15. Calculate the remainder when -1*(-40 - (h - -1)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010000101 + -110010?\nAnswer: -1000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*i - 23, 4*i - 27 = -0*f + f. Calculate the remainder when 17 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 100 = -5*y - 75, 0 = 3*y - 4*z - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(243) - (sqrt(243) + sqrt(243) + sqrt(243) + 2))).\nAnswer: -54*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 3) + 10 + 123 + -70.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s + 1. Let l(o) = -o - 1. Determine 6*l(c) - v(c).\nAnswer: -3*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/603425?\nAnswer: -2\/603425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 11 + 1 + -1. Let g be f*4\/(-12)*-2. Calculate the least common multiple of g\/6 + (-8)\/(-12) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1896 + -1896. Put -13, 9, 1, a in descending order.\nAnswer: 9, 1, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14111*m - 28252*m - 2 + 0 + 14139*m + 2.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**2 - j**2 - 3*j**2 + (2*j + 6*j - j)*(-5 + 5 + 3*j).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 61. Let s be (18\/(-2))\/(4\/f). Let v = 116 + s. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12097061*b**3 + 616505*b**2?\nAnswer: 72582366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.2. Let v = -396\/5 + 79. What is the smallest value in -0.3, o, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/3329585 and 99\/140?\nAnswer: 13318340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 10. Let f be m(3). Solve x = 5*l - 21, 0 = -5*l - f*x + 18 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205d4 (base 14) in base 5?\nAnswer: -4443443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 347, -27, 5.\nAnswer: -123, -27, 5, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 3. Suppose -u*h - 10 = -4*h. Calculate the lowest common multiple of 18 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -3. Suppose -6 + 36 = -2*c. Let o = c - f. Calculate the remainder when 31 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 - -398. Suppose 0 = -18*b + n*b - 91. Let p(w) = -w**2 - 8*w. Determine p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101407 is divided by 6725.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {q: 2, e: 2, m: 1, r: 1, b: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2 - 2282*x + 9096 = 0.\nAnswer: 4, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (583 - 0)\/(-3 + (5 - 3)). List the prime factors of (-54)\/9 + (-1 - k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737258803.\nAnswer: 737258803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, -23, -2, 51 in descending order.\nAnswer: 396, 51, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + 6. Suppose -15 = 3*x + 2*m - 119, 0 = -4*x + 2*m + b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -3, 5.18, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 5*p + 1. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3*h - 2*h + (1 - 1 - 14*h)*(0 + 5 - 3) - h + 2*h + h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 11. Suppose -7*z = -2*z. Give o(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*z**5 + 2683233*z**3 + z**2 - 542378448*z?\nAnswer: -440*z**3 + 16099398*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 + 5. Suppose 174 = 5*u - a, -r*u + 60 = -2*u + 2*a. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/246816 and -145\/672?\nAnswer: 1727712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36486 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 + 7*u - 7. Suppose -2 = h - 19. Let q = h + -12. Does 14 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/q*q**(1\/3)*(q\/(q**(-2\/7)\/q)*q*q)**(-1\/23) assuming q is positive.\nAnswer: q**(-1861\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 1\/2*g**4 - 4\/3*g**3 + g**2 + 4 + 0*g. Let n(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20270524*a**3 - 9810029*a?\nAnswer: -121623144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344.544 take away -1228474?\nAnswer: 1227129.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78233*o - 69556*o + 86790*o + 165465*o.\nAnswer: 260932*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -75\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 9) to base 11\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1050*p**3 + 2*p - 2. Let q(z) = 117600*z**3 + 225*z - 225. Give -2*q(h) + 225*v(h).\nAnswer: 1050*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (0 - -1) + (-4 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 46509071.\nAnswer: -3\/46509071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7)\/m)\/(m\/(m*m**(1\/5))*m*m))\/(m**(1\/5)\/(m\/(m**(2\/9)\/m))) assuming m is positive.\nAnswer: m**(-95\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35275670?\nAnswer: 2, 5, 109, 32363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) 0 (c) 6 (d) -31 (e) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003699 rounded to five dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.01 - 190.\nAnswer: -186.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/14 - 3644\/(-840) and 20 + 14 + 9625\/(-294).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 70*c + 89. What is the units digit of s(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154.7355us to minutes.\nAnswer: 0.000002578925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 36aa4?\nAnswer: -36aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.09, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6996254 is divided by 1165985.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -3*d + 16. Let h = d + -19. Let i = h + -19. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6) + (-19)\/57 + 25. Let a = t - -287. What are the prime factors of a?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.14, -0.09036, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1418 - 41087\/29. Is y less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7002085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213509737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(m**3 - 2*m**2 + 2*m**2) - 9*m**3 + 3*m - m + 5*m**3.\nAnswer: -5*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/((-126555)\/(-4030)))\/((-2)\/22)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10505, -10509, -10515, -10523, -10533, -10545, -10559?\nAnswer: -10575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(34\/(-8))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 15. Let k be d(-13). What is the greatest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.5, -3\/7, 552, 0.06, -42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40153068 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365637201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3*v**5 + s**3*v - 67*s**2*v**5 + 190*v wrt v?\nAnswer: 20*s**3*v**3 - 1340*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2*4\/(-14))\/((-12)\/42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25 = 3*s - 38, 72 = 5*d - 3*s. Let h be (-3)\/15 + 33\/d. Factor -2\/9*a + 0 + 2\/9*a**h.\nAnswer: 2*a*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*0.035\nAnswer: 0.0245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 2, u: 2, e: 1, r: 1}. What is prob of picking 1 e and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1364 + 1366. Let d(t) = 28*t + 10. Let o(g) = 29*g + 11. Let k(s) = -5*d(s) + 6*o(s). Does 6 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppppppopp. Give prob of picking 2 p.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/12*1 - (-4)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - w - 85 = 0, 3*w + 81 = -5*u + 204. Calculate the remainder when u is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x + 27 = -43*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3330, 3412, 3424, 3264, 2830?\n\"Answer: -17*b**3 + 67*b**2 + 3280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/16 and -47\/3359598?\nAnswer: 26876784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c + 4*r, 3*c = -4*r + 4 - 0. What is the closest to 0 in c, 0.4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db9ec (base 15) to base 8.\nAnswer: -2522231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l. Let p be j(-1). Suppose 2*y = -3*r + 39, -p*r = -y - 4*y + 35. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(0 - 1 - 1)*(17138 - 34275 + 17137 + 5537*i**4).\nAnswer: 11074*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -558, 4, 2\/7, 0.034, -2.\nAnswer: -558, -2, 0.034, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204060 + 1669479.\nAnswer: 1465419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -713?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2035\/925)\/(-1*(-6)\/30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 1\/(-3). Suppose 4*w = s - 6, n*w + 5*w - 1 = -3*s. Solve 15 = p + 5*z - s, 0 = 5*z - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40\/51507 or -1?\nAnswer: 40\/51507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 525 = 54*o + 33*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 20*y**3 - 8*y**2 - 13*y - 81. Is z(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = -4*f, 6*z = 8*z - 3*f - 11. Suppose -u + 2*u + 0*u - u**2 + z - 1 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 28994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5\/5 + 2384*c**4\/5 - 180763*c**3\/5 + 2783962*c**2\/5 + 4368288*c + 7079040 = 0.\nAnswer: -2458, -3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119 a factor of 3958694466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/54 - (-93507)\/27. Suppose -z = -6*x - 907. List the prime factors of x.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17997 = 11*z - 18*z. Suppose z = 5*r + 171. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/4 + r. Let c(y) = -y - 42. Let w(u) = 49. Suppose -37*q + 48*q = 77. Let z(v) = q*c(v) + 6*w(v). Give d(z(l)).\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -196 and -114?\nAnswer: 22344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - f - 9, -8*r - 3*f - 7 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 + 410. Let c = f - 62. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144243, 576973, 1298189, 2307891?\nAnswer: 3606079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4768 is divided by 5*2 + (27\/(-27) - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 = 1041513\/2306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536118, -1072240, -1608362, -2144484?\nAnswer: -2680606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97842?\nAnswer: 2, 3, 23, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*i + 2 = 0, 4*d + 4*i = 3*d + 4. Let n = 2\/27 + -230\/189. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**2 - 13 - 9*a**3 - a - 4*a**2 + 10*a**3. Let u be o(-16). Let g be 2*5\/10*u. Solve 4*d - 3*d = -g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4255316 (base 7) to base 10\nAnswer: -518090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:58 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110109343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -5*b**6\/6 + 7*b**2 - 30. What is the second derivative of d(y) wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6284534, 6284524, 6284514, 6284504, 6284494, 6284484?\nAnswer: 6284474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -135*v**2 - 2. Let d(u) be the first derivative of 3*u**2\/2 + u - 839. Give i(d(j)).\nAnswer: -1215*j**2 - 810*j - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1747 divide 11563236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5080703.\nAnswer: 5080703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z - 97*z = 4*q - 8, 9 = -q - 5*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5130 (base 6) to base 2.\nAnswer: 10001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f + 10. What is the remainder when g(2) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 2*r - 58. Give t(-9).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1452*b - 1707 wrt b.\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2109.639876 and -197.3.\nAnswer: -2306.939876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 608*s**2 + 13*s + 1417. Let p(h) = 301*h**2 + 7*h + 708. Let m(o) = -11*p(o) + 6*v(o). What is the first derivative of m(t) wrt t?\nAnswer: 674*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 + -2.5. Let z = 7.289 - 0.249. Let p = z + -0.04. Which is the third biggest value? (a) p (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c**4 + 1708*c**3 - 3940*c**2 + 2804*c - 560 = 0. What is c?\nAnswer: 1\/3, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-378))\/(10\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -28\/11*p**4 - 1098\/11*p**2 + 1\/11*p**5 + 1296\/11*p + 0 + 277\/11*p**3 = 0.\nAnswer: 0, 2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1864, 1912, 1960, 2008, 2056?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39957911.\nAnswer: 7, 29, 196837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o + 69*o - 240*d = -239*d + 43, -4*o + 92 = 12*d for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 9\/2, -5, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(5 + (sqrt(847) + 0 + -2 + sqrt(847) + -1 + sqrt(847) + -5)**2).\nAnswer: -46157 + 3168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*y + 24, -2*s + 18 = y + 3*y. Let h = 6.5 - 6.62. What is the closest to s in -2\/3, h, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)*(((v*v*(v\/v**15)\/v)\/v)\/v)\/v*v*v**12*v*v\/((v*v**(-2\/5)\/v)\/v))**(2\/61) assuming v is positive.\nAnswer: v**(112\/7015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 3*v + 3. Let w be o(-3). Suppose 0 = -3*b, -w*p - 4*b = -29 - 4. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2. Let r(z) = -2*z**5 + z**3 - 3*z**2 - 6*z - 4. Let q(n) = 14*j(n) + 2*r(n). Find m, given that q(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 23. Is j(16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(2 + 8\/(-7)). Let v = l + 8. Which is the closest to -1? (a) -1 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, e: 6, c: 2}. What is prob of sequence epp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dydd when four letters picked without replacement from yqyamyyymmdqdmdy?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 139 - 4*b**2 - 147 + 14*b**2 + b**3. Determine o(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -h - 12. Let w = 111 + h. Suppose j + 2*b - w = 7*b, -4*b + 69 = 5*j. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of -288*((-3)\/6 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -42*w**2 + 58*w + 104. Determine u(7).\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let d be 17\/(-3) - a\/6. Is 10 + d - (-2 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.5 times -2.6\nAnswer: 76.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46867 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002399 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 + 366510*l - 11194131675 = 0. What is l?\nAnswer: 61085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2551557698?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1242306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 385 - 384.7. Let y(g) = 0*g**2 - 4*g + 4*g**2 - 3*g**2 - 11. Let t be y(6). What is the nearest to -0.1 in i, -5, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4387 and 24.\nAnswer: -105288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v - 109. Calculate g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -36. Calculate the highest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*x - 32*x - 50*x.\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-714)*-1384 - 1\/21)\/((-10)\/(-2)).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((1364\/93)\/(-44))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-280)\/42)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2, 1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634719111 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 56*u**2 + 33*u - 1199. Calculate k(-55).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 16 - 4. Suppose -v*s + 55 + 13 = 0. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43a + -12b5?\nAnswer: -16ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -3 + -4 + -4*((1*sqrt(192) + sqrt(192) + -4)**2 - sqrt(192)).\nAnswer: -3137 + 544*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 12*t - 26*t - 1 + 3*t**2 + 10*t in the form d*t + o*t**2 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22244 + 1441?\nAnswer: 24240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/77542 and -7\/1644.\nAnswer: 465252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*l - 10570 - 10108 + 6620. What is the greatest common factor of 6281 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 444.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 31*p - 5. Determine h(-2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4, -43\/19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(27) - -2*sqrt(27)*1)\/(-6*sqrt(9)*2)*-4.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8658, -8658, -8660, -8664?\n\"Answer: -p**2 + 3*p - 8660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2163048 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -54 (c) 1\/2 (d) -0.1 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**8\/(((j*j\/((j\/j**(-1))\/j))\/j)\/j)**(-3\/11)*(j*j*j\/(j*j*j**3*j))\/(j*j**(-3\/8)*j)*j\/(j\/(j**(2\/19)\/j))*j*j**(3\/5) assuming j is positive.\nAnswer: j**(-1609\/8360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/2))\/((o*o**(-2\/13))\/o))\/(o\/(o**(-2\/5)\/o))**(-8\/9))**(-26) assuming o is positive.\nAnswer: o**(-1477\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128916516709972 + 0.2.\nAnswer: 128916516709972.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u + 2. Let z be a(-3). Let d be 1\/z - 1\/(-3). Let v be (6\/15)\/((-3)\/(-15)). Put -5\/4, v, d in decreasing order.\nAnswer: v, d, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(1100) + (sqrt(1100) - 1*sqrt(1100))).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265294, 265293, 265292, 265291?\nAnswer: 265290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1095087, -3, -14\/3, 2, 0.2?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18796801 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20608 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 + 14 = 3*o, -5*o = 4*n - 12. Let f(w) be the first derivative of 5*w**4 + w**2\/2 - w - 4. Let x be f(1). Solve 9*l = o*l - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3744 + -3667.36. Let i = -77 + t. Let h = i + 0.787. Round h to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from plpl.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2, -0.3, 4\/3, -0.01, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129.4 - -129. Sort j, 11, 0.4 in decreasing order.\nAnswer: 11, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 259528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, t: 1, q: 2, a: 10}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 32896985.\nAnswer: 8\/32896985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) 5 (c) 7 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s**3 + 127*s**2 - 121*s - 1. Calculate n(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.733763 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815 is divided by 888.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2672\/5 + 533. Is -1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 14*k - 9. Let i be a(13). Suppose 1 = 4*m - u + 14, -i*m = -3*u + 23. Is 0 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846\/2256*8\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5 + 4)*(-2*d + 6*d - 5*d - 8)*(-22*d - 11*d + 3*d) in the form y + v*d + w*d**2 and give v.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.9 (b) 1\/7 (c) -9.23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6*x + 24. Suppose 0*w + x*n = 4*w + 395997, -5*w + 3*n = 494997. What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12190014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1888, 1850, 1812, 1774, 1736, 1698?\n\"Answer: -38*r + 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3143.3254 and 0.4.\nAnswer: -1257.33016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011 - 10100011110?\nAnswer: -10011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -9. Let h(q) = q + 40. Let l be (-402)\/42 - (-20)\/35. What is the remainder when h(l) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161801, 324133, 486465, 648797?\nAnswer: 811129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -897 + 531. What is the hundreds digit of h\/(1 - 2) + (17 - 18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3 - x**2 + 2*x - 3. Suppose -2*c = -4 - 0. What is the smallest common multiple of 8 and o(c)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -5*g + 26*g. Let p(u) = 15*u + 4. Let z(c) = 7*c + 2. Calculate g*p(m) - 13*z(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -0.1, 3, -1, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((-3)\/(-30))\/(3\/(-24)). Let k = 15 - 9. Let p be l\/k*(-45)\/6. Solve p*z + 5*v + 5 = 0, -z - 3*v + 2 = 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*q + 51, q - j + 46 = -3*q. Let p = q - -6. Sort -3\/7, -12, p, -1 in descending order.\nAnswer: -3\/7, -1, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (2 + (-5)\/(-5)). Suppose -u = -3*b + 21 - 1, i*b - 4*u = 0. Let n = 29 + b. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12202*m - 1265280 = 150152 for m.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/8)\/((-2)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/(-80) - -9)\/((-3)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1424)\/(-890) + (-291774)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3132010 - -10?\nAnswer: -3132000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-74) + (-1333969)\/(-3959) is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:19 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.08 (c) -9 (d) -342\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:09 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1929262 - -7.9.\nAnswer: -1929254.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -13.3 (c) -46\/3 (d) 8 (e) -1 (f) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.16, -1.5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8558213072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/30*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 39 + -32 - -32\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -979, -3826, -8595, -15286, -23899?\n\"Answer: -961*b**2 + 36*b - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3991*g - 470764 = 6957*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1518, -5, 5, 186, 1, -1 in ascending order.\nAnswer: -1518, -5, -1, 1, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217 - -100. Let z = c - -131. Find n, given that -z*n**2 + 4*n**2 + 23 + 95*n - 10*n**2 + 2 = 0.\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7573 (base 13) to base 7.\nAnswer: 65401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-20) + 50986\/8. Let k be (-3)\/12 + z\/4. Let q = 2242 - k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -154 and 102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from ccwcdccwcwcu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.25 - -7.25. What is the biggest value in -0.7, -24, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - (-105 + 35) - (13 + 0) - (-4 + 17)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3697752.\nAnswer: 2, 3, 154073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 5*h + 1452. Let g = h - -126. Factor -2\/3*d**2 + 2\/3*d**g + 0*d + 0 - 2\/3*d**3 + 2\/3*d**4.\nAnswer: 2*d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - 110*i + 38. Calculate l(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 9. Suppose -5*k + 154 = n*d + 39, 0 = k + 4*d - 40. Suppose -l + 0*l + k = 0. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2 + 2088*w - 46950. Give p(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21684 + -17497. List the prime factors of o.\nAnswer: 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54976800 to the nearest one hundred thousand.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50.19 + -50. Let s = 1555227.1900018 - 1555227. Let n = c - s. What is n rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 67.65132 and -1.96?\nAnswer: 69.61132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4739, -9416, -14093, -18770, -23447, -28124?\n\"Answer: -4677*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 3*t**2 + 11*t**2 + t**3 + 3*t**4 + 0*t**2 + 2*t as y*t + f*t**2 + z*t**4 + a + g*t**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -195? (a) 4 (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 705 and -19850.\nAnswer: -13994250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3267 divided by -4.\nAnswer: -3267\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - q. Let m be a(-1). What is the common denominator of -7\/48 and 11456\/1152 + m*(4 + -1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 10944.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 10:28 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, 4, 5 in ascending order.\nAnswer: -213, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -33. Suppose 0 = -5*p + u + 11. What is the second derivative of 14*b - 2*b**4 + 2*b**4 + p*b**4 wrt b?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 2 + (9 - 18). Put 3, -24, 1, p in descending order.\nAnswer: 3, 1, p, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + 101\/(-6)*118\/(-177)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 699 and -0.4.\nAnswer: -279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.57558 microseconds to days.\nAnswer: 0.00000000070110625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488892113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 + 5*d**3\/3 - 5*d**2\/2 - 3*d - 11. Give w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15887662.\nAnswer: 2, 7, 162119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:01 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 + 6?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 7. Let w be c(4). Suppose 0 = 3*n + n + 8. Let j be (n\/(-7))\/(6\/(-14)). Is j at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0888089179 and -13.\nAnswer: -13.0888089179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192049.172*-1.\nAnswer: 192049.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z - 10*z + 15*z + 2*z**2. Let w(y) = 14 - 14 - 2*y**2. What is w(k(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307304 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -4 (b) -0.2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from wdwdddwddddddwddddd?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 10*g. Suppose -3*w + 7514012 = 53*u - 51*u, g = u + 2*w - 3757008. What is u rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 * 9\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i - 8. Calculate r(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*h + 8191 = 41630 + 3246 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1239, -1238, -1245, -1266, -1307, -1374, -1473, -1610?\nAnswer: -1791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 269 - 0. Suppose -3*n - 1235 = -b. Let r = 57 - n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 - 54*n - 25. Let t be w(4). Let r(x) = 3*x**3 + 4*x**2 - 2*x. Let m(j) = -4*j - j**3 + 2*j + j + j**2. Determine t*r(v) + 2*m(v).\nAnswer: -5*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 50. Let a be s(-4). Suppose 0 = -j - 0 - 15. Let k = a - j. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 382*f**2 - 3506*f + 114. Give u(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 11\/49, -0.1186 in decreasing order.\nAnswer: 1\/2, 11\/49, -0.1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 242066.\nAnswer: 242066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 5*f**2 - 5*f - 6. Let m be g(6). Suppose m = b + 2*b. Is 1\/12 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-154*o**4 + 2560*o - o**2 + 0*o**2 - 2581*o + 3*o**2)*(2 + 2 - 1) in the form z*o + q*o**2 + v*o**3 + j*o**4 + f and give j.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(2*sqrt(12)) - sqrt(228)\/sqrt(48))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 134. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-600)\/528 + 3\/2. Find p, given that 16\/11*p**4 - 2\/11*p - 8\/11*p**3 + 10\/11*p**5 - 20\/11*p**2 + i = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2246 - 24704\/11. Let x(h) be the second derivative of 6*h - m*h**3 - 5\/11*h**2 - 1\/66*h**4 + 0. Factor x(b).\nAnswer: -2*(b + 1)*(b + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92 in 13, 2\/5, 3\/2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17420 - 17410. Calculate the highest common factor of 27410 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66*4.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 14*x - 8*x - 15*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**3 - 3*y**2 - 3*y - 3. Suppose 5*o + 4*m + m - 10 = 0, -5*o - 2*m - 5 = 0. Is 24 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79388 - -127381. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 12:55 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 44*n**3 - 9*n**2 + 26*n - 31. Let x be d(3). Is 1154 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380208489 to the nearest integer?\nAnswer: 19499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11095.28m in nanometers?\nAnswer: 11095280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 6*o + 4. Let y = 23 + -9. Suppose -2*j = -3*j + 4*n - y, -4*n = -2*j - 20. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -419*h**5\/20 - h**4\/12 - 3*h**3\/2 - 7*h**2\/2 + 35*h + 1. What are the prime factors of b(-1)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:41 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129688 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3848)\/(-23088)*2\/2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3 - 4 + 7*a - 1. Let o(j) = -11*j + 3. Let p be (-4)\/(-5)*(2 + 28)\/(-3). What is p*g(n) - 5*o(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 1147, 2585, 4599, 7189?\nAnswer: 10355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*902863.6.\nAnswer: -1805727.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 9*a. Let j(c) = -2*c**2 + 19*c. Give -6*j(b) - 13*p(b).\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 - 4*m**2)*(2*m + 0*m + 2*m)*(797 - 797 + 21*m).\nAnswer: -168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29\/(-9) + (-6)\/(-27). Let o be (2\/6)\/(p\/(-18)). Suppose 2 + o = 2*s, -3*y + 2*s = -86. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207605528 less than -241.3?\nAnswer: -241.092394472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 1. Suppose 276*y + 48 = 264*y. Let p(h) = 0 + 0 - 2*h. Calculate y*p(r) - 3*c(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:48 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011001001101000 (base 2) in base 6?\nAnswer: -2214504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 771*b + 1093*b - 733*b - 1081*b**2 + 937*b wrt b?\nAnswer: -2162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 103 - p - 10*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v**(-2\/5))\/(v**(-5\/3)\/(v*v**(-4))) assuming v is positive.\nAnswer: v**(-101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 43. Suppose 0 = p*n - 5*a - 22, 0*a - 9 = 4*n + a. Let t be 28\/(-7) + (15 - n). Calculate the greatest common divisor of 36 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002131111 to 6 decimal places.\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(2\/9)*p)))\/(p\/(p**(1\/8)\/p))*(p\/(((p*p**(-1\/2))\/p*p*p)\/p))**(-8\/7))**(1\/26) assuming p is positive.\nAnswer: p**(-113\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 474952371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -30, -30, -20, 6, 54, 130, 240?\n\"Answer: d**3 - 4*d**2 + d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -436585 divided by -87317?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2750 - -16445\/6. Calculate the common denominator of -149\/690 and u.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from ddyydyydydyddddyyydy.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1846833*-5\nAnswer: -9234165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(8 + 12 - 6)*(-2*k**2 + 0*k**2 + 5*k**2).\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j - 30. Let g be l(-13). Let q be g*2\/14 + 18\/(-63). Suppose 0 = -5*a - 7 + q. Solve 4*x + a*p + 8 = 0, -5*x = 2*p - 0*p + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 - 158. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6343357.\nAnswer: 1\/6343357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**2 + p. Let l be (-5)\/(4\/14*((-2751)\/252 + 8)). Let h(j) = 13*j**2 - j. Give l*h(q) + 5*c(q).\nAnswer: 8*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:09 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42430672 to the power of 1\/2, to the nearest integer?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:59 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15543.9 not equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uju when three letters picked without replacement from {w: 4, j: 3, x: 2, u: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 435 + 17505?\nAnswer: 18041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2850 is divided by 708?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 divided by 3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -359, -577, -795?\n\"Answer: -218*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let y = 3.117 + -7.12. Let m = y + 0.003. Which is the nearest to 0.1? (a) m (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:52 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-624)\/276))\/(11\/44).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 628, 624, 618, 610, 600, 588?\n\"Answer: -n**2 - n + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3 + 9*v**2 + 27*v - 5. Factor o(x).\nAnswer: 3*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152138 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 2*x**6\/15 + x**5\/5 - 3*x**4 + 22*x**3\/3 - 8*x**2 + 37*x. Solve g(y) = 0 for y.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 2*f**2 - 201*f - 612. Let y be c(-3). Do y and -510\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(5) - sqrt(12))**2 + ((sqrt(60)\/sqrt(5))\/sqrt(4))**2 - ((2 + sqrt(147) - sqrt(3)) + 3)*-3.\nAnswer: 18 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/7 - 27*n**3\/7 + 324*n\/7.\nAnswer: -3*n*(n - 3)*(n + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -9. Suppose k = 2*r - 0*k - c, 4*k - 20 = 0. Solve -4*i + 7*i = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 194683*i - 455001?\nAnswer: 194683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4683874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 667 - 660. Solve 3*j + 5*k + 19 = 0, 2*j - g*j + 2*k - 11 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x + 65. Let b be f(-7). Let i be (4\/(-12))\/((-6)\/b)*8. Suppose r = -i*a + 901 + 1620, 4*r = 2*a - 1238. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3549, 5, 1, -28, -7, 0 in descending order.\nAnswer: 3549, 5, 1, 0, -7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -445\/6. Let p(t) = t**3 + 8*t**2 - 13*t - 32. Let y be p(-9). Which is the nearest to 1\/3? (a) 5 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**5 + 8*w**4 + w**3 + 2*w**2 - 2*w. Let o(d) = d**5 + d**4 - d**3 + d**2 - d. Let m(h) = -f(h) + 2*o(h). Factor m(k).\nAnswer: -3*k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 2*p. Let w = p - 8. Solve w*n = 2*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22782 divided by -6?\nAnswer: 3797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and 47\/784772036.\nAnswer: 784772036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 51. Suppose 5*u - 5 + 116 = 3*q, y = -3*q + u + 111. 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, 0, -255, 460 in ascending order.\nAnswer: -255, -5, 0, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/16 + 9\/(-72). What is the greatest common factor of 78 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9414708 hours?\nAnswer: 3389294880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -73\/5 (b) 6168 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + -244131?\nAnswer: -244160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 10*w - 13*w + 8*w + 28*w + 14*w.\nAnswer: 41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 3542?\nAnswer: -353c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-1792)\/(-12)*(-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 16?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 31, -58, -239, -542, -997?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + 104*j + 1920. Give m(33).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 44*j + 97. Let h be y(-46). Suppose 13*n = h*n - 22*n. Find c, given that -15\/2*c**3 + n - 5\/2*c**4 + 0*c - 5*c**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (4 + -4) - (-1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.389594mg in micrograms?\nAnswer: 389.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*f**3 - 50*c**2*f**2*y + 165*c**2*f + 97*f**3*y + 4 wrt y.\nAnswer: -50*c**2*f**2 + 97*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 9*g**3\/2 - g. Let f(s) = -2*s**2. What is f(y(h))?\nAnswer: -1458*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22000210 (base 3) in base 12?\nAnswer: 3479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 13*r = -39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.45 + 4.51. Let i = h + -2. Do 0.04 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22352 and 2816?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let h = 96\/11 + -181\/22. Let k(f) be the first derivative of h*f**2 + 0*f + 1. Give d(k(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 931 - 3?\nAnswer: 92d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 482064401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 7*h)*(2*h**3 + h - h + (-4 + 2 + 1)*(-1 + 1 + h**3) + 8*h**3 - 6*h**3 + 22*h**3).\nAnswer: 175*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2 + (-80 + 161 - 87)*(4 - 3 + 1))*(-2*p**2 + 0*p + 0*p) as k*p**2 + i + r*p and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 + 106 = 0. Calculate the remainder when f is divided by (-36)\/162 + 256\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f. Let w(c) = 10*c. Let y(h) = 3*h. Let l(s) = 4*w(s) - 14*y(s). Give -2*j(z) + 11*l(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 24*q**2 + 25*q - 477. What is a(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4103, 8801, 13499, 18197, 22895, 27593?\n\"Answer: 4698*u - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.2514*-279\nAnswer: -1186.1406","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*b**3 - 65*b**3 + 259 + 2*b - 259 to the form w*b + a*b**3 + t + q*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 - 2*x. Let p be b(-2). Let g be (14 - 1) + (259 - 268). Suppose -3*h = -r - 4, -g*r + p = -0*r + 4*h. Solve r*l - 1 = 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12832 (base 11) to base 10\nAnswer: -18306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.404827m in micrometers?\nAnswer: 3404827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*(3 - (-42)\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/125 or -1?\nAnswer: 12\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrurrrrrurr. Give prob of sequence urr.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(5*sqrt(10)*6))\/(sqrt(98) + sqrt(98)*-1 + sqrt(98) + sqrt(98) + sqrt(18)*-1).\nAnswer: sqrt(3)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:32 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -194808471 rounded to the nearest 100000?\nAnswer: -194800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -4, -1 in descending order.\nAnswer: 78, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(-2*(-4)\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = 11. Let q = g - -3. What is the smallest common multiple of 2\/(-5)*q*5 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1189.1 * 3.\nAnswer: 3567.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892255519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17083.\nAnswer: 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((240\/(-360))\/(2\/4))\/((-8)\/276).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w**2 + 36*w**2 + 27*w**2 + 36*w**2 - 121*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/84*581 - -6 and 35\/1264.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50997 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -640 - ((-28)\/(-4) + -3). Let n = f + 1209. List the prime factors of n.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**3 - 4*c**3 - 9*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = b + 44, 0 = -b - 8241*r + 8245*r - 4 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 18, 32, 48, 66, 86, 108?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 547590707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 11*z**2 + 7*z - 12. Let c be n(-10). Let x = -161 + 338. Let w = -87 + x. Calculate the greatest common factor of c and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3643 or 213\/251?\nAnswer: 3643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6813, 10571, 14329?\n\"Answer: 3758*u + 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3896962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/j*j**(4\/7))\/((j**(6\/5)\/j)\/j**4) assuming j is positive.\nAnswer: j**(83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12314, -12498, -12658, -12794?\n\"Answer: 12*h**2 - 220*h - 12106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 3 + 3)*(3604 + 57*w - 3604) to u + y*w**2 + z*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 + 16*t**2 + 22*t**2)*(-2*t + 3*t + 2*t) + t**3 + 0*t**3 - 3*t**3.\nAnswer: 139*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364023736.\nAnswer: 2, 661, 257947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y = 108. Suppose 12*f = 3*f + y. Let q be (38\/(-6))\/((-1)\/f). Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 7. Suppose 4*u + 2*o = m*u, 0 = -u - 3*o. Suppose 3 + 12 = a - 4*d, -3*a - 3*d = u. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = 2. Calculate the common denominator of (7 + -6)\/((-2)\/67) and 1\/(-2) + (-38)\/c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 12 - (9 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19484728 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from {v: 1, a: 2, k: 5, f: 2, x: 2, n: 5}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7*v + 282060 = 0. Suppose -4*z = -o + 4*o - 14096, -5*z = -5*o + v. Round o to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.6 + -4. Let i = v + 12.599232. What is i rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 6*d - 3. Let l be z(-5). Suppose 3*t + 13303 - 71803 = 0. Suppose c - t = -l*c. What is c rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-29)\/(-58)). Suppose 4*n = -5*s - 34, -26 = o*s + 3*n - 2*n. Find the common denominator of 38\/33 and s\/45 - (-310)\/36.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87784?\nAnswer: 2, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-8)*p))\/((p\/(p\/(p*(((p\/p**3*p)\/p)\/p)\/p)))\/p*p)*(p*p\/(p**10*p)*p)\/(p**(-1\/12)*p))**(-22\/3) assuming p is positive.\nAnswer: p**(1969\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/24336 and -95\/234.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1603 = -97*v + 342 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 56*w - 6*w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**28*x*x**(-3\/2)*x*((x\/x**(-37))\/x)**(-3\/10))**(1\/41) assuming x is positive.\nAnswer: x**(87\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355013*b = -355002*b + 33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/(-16)*-2*(-2688)\/560. Calculate the highest common factor of z and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.9 - -60. Let w = 151422096 - 151422098.90000044. Let a = l - w. Round a to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s**2 + 3*s - 1. Calculate the remainder when h(4) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b + 138. What is j(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 6:37 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 2\/11, -424 in ascending order.\nAnswer: -424, -5, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*j = 8. Suppose -2*m + j*m = 0. Suppose 0 = 2*b - m - 4. Solve 11 + 11 = 5*t + u, -b*t - u + 7 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 969005620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(10)\/sqrt(2) + -4) - (1*sqrt(5)*-6 + 0))**2 + -3 + (sqrt(110)\/(sqrt(33)\/sqrt(3)) - sqrt(10))\/(sqrt(72) - sqrt(8)).\nAnswer: -320*sqrt(5) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228433?\nAnswer: 29, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.08512 rounded to 1 dp?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-6)\/(-9))*(-555)\/(-10). Calculate the highest common factor of j and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(4*v + 0*v - 2*v) + 4*v - 10*v - 2*v + (v - 3*v + v)*(9 - 2 + 4)*(0 - 6 + 3).\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/2)*-2. Suppose h*c + 0*i - 28 = -3*i, -2*c = -i - 4. Sort 3, 5, c in descending order.\nAnswer: 5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 92 - 20. Let x = 18 + -9. Suppose z - 23 = -x. What is the highest common divisor of z and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1880 and 1323050.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 3, q: 7, u: 4, v: 2}. What is prob of picking 2 q and 2 u?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 5*y**4 + 12*y**3 - 12*y**3)*(-3 + 4 - 2)*(-2 + 2 - 13*y).\nAnswer: -65*y**5 - 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 2:07 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 6 (c) 16860 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3))\/(w\/w**(2\/11))*w*w*w*w**(-8\/7)*w*w*w*w*w*w**(-1\/7) assuming w is positive.\nAnswer: w**(300\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -13*n**2 + 33*n + 5. Let a(d) = -10*d**2 + 32*d + 4. Let g(m) = 5*a(m) - 4*k(m). Factor g(j).\nAnswer: 2*j*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 3:32 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*l**2 - 42*l + 213*l**2 + 87*l - 44*l + 303*l**2 in the form u*l + f*l**2 + h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqpqqqqqpqqqqqqqp. What is prob of picking 4 q?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeeek. Give prob of picking 3 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -1\/4, -3, -7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 3*g**2 + 3*g + 4. Let v be h(-3). Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (2\/(-12) - (-133)\/114). Solve -c = k*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4626 + 4637. Is -2 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8140000 rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16922*l + 16900*l = -703956. List the prime factors of l.\nAnswer: 2, 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20239)\/3829*(-6)\/111.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*-540*(-116)\/32480.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m + 2. Calculate k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 61. Let u = m - -936\/11. Sort -4\/5, u, 2\/9 in descending order.\nAnswer: 2\/9, u, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f - 0. Suppose -d - 4*h + 1 = 5, 2*d = -f*h - 3. Which is smaller: 1\/6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 3*j + 3*d + 26, -3*j + 105 - 39 = 5*d for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/10 - b**4\/2 + b**3\/6 + 2*b**2 - 21*b. Let j(h) = -h**2 + 2*h. Let d(a) = -5*j(a) - m(a). Factor d(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 196654586.4 and 9.\nAnswer: 196654595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 1 - (617 + -612).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*s - 17, -3*s - g = -3*g - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 1. Let r(p) = -7*p + 31. What is -3*o(z) + r(z)?\nAnswer: -z + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 + 20*r**2 - 9*r - 13. Determine p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 15 + (-8 - 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-316)\/(-8) + 1*1\/(-2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5625*h**5 - 205138875*h**4 + 437600500*h**3 + 127634260*h**2 + 8752080*h = 0 for h.\nAnswer: -2\/15, 0, 12\/5, 36467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**2 - n - 24. Let y(t) = -5*t**2 + 12. Let w(a) = 4*q(a) + 9*y(a). Let h be w(-6). Find the first derivative of -4 + h + 4 - 2 - k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2387232, 4774461, 7161690, 9548919, 11936148?\nAnswer: 14323377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -1237, 5, -3, -5 in decreasing order.\nAnswer: 12, 5, 3, -3, -5, -1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3329 - -8343. Suppose -5349 - 1657 = -2*b. Let x = d - b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -163.54.\nAnswer: 163.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 981275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - -2 - (-14 + 20 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4501 - -0.45. What is g rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -893 in 0.5, -244, 1, -2\/5?\nAnswer: -244","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 31*z = 35*z - 53, 0 = -4*z + 20. Solve -9*c + p*c = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40188743 divided by -133.\nAnswer: -302171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, -4, -527 in decreasing order.\nAnswer: 4, -3, -4, -5, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -2 - ((24 + 3 - 18) + 4 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*t - 219*t**2 - 75*t - 79*t - 80*t.\nAnswer: -219*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 298 (b) -6 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:19 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.87 - 28. Let j = -0.03 - u. Let p = 355 - 350. Sort p, 2\/11, j, -1\/8 in increasing order.\nAnswer: -1\/8, j, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 3 + (53 - 40) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 - 2315*z**2\/2 + 13917*z\/2 - 20889\/2.\nAnswer: -(z - 3)**2*(z + 2321)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:10 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/16)*n*n))\/n*n*n\/(n*n**(-1\/4))*n*n)\/(n\/n**(-1\/20)*n)**(3\/29) assuming n is positive.\nAnswer: n**(2553\/2320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200785036.\nAnswer: 2, 41, 1224299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let s(i) = -i**3 - 4*i**2 + 2. Let j be s(-4). Suppose -j*d + 7 + 9 = 0. Solve 0 = -2*o - a*o - d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -5 (c) -1\/938 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.4011l to millilitres.\nAnswer: 119401.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 16*x = -b + 28, -28 = -b - 2*x. Calculate the greatest common divisor of 56 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 174046036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 482, 466, 434, 380, 298?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 31. Let c(v) = v**2 + 8*v + 15. Let r be c(q). Suppose 3*i - 5280 = -r*z, -5*z + i + 8798 = 4*i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700756540 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 61)*(-3 + (-102)\/(-30)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 2*f - 3. Suppose 16 = 6*k - 2*k. Give a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in 5, 3, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -312?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 986411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1524 and 4195572?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -16*g + 73. Suppose 7 = r + j, -3*r - g*j - 9 = -27. Suppose 0 = -5*p + 2*p + 96. What is the greatest common divisor of r and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36559*r**3 + 2*r**2 - 1990201*r?\nAnswer: 219354*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4004*o - 4010*o - 4005*o - 4003*o - 4003*o + 24006*o - 3982*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 13, c: 3, w: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 817646.4nm to meters.\nAnswer: 0.0008176464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 5*m. Suppose -t = 1, -4*u + 5*u = -2*t - 4. Let g(n) = n**2 - n. Give u*p(z) - 11*g(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8049*x - 7740*x - 22248 = 0 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 466315429, 466315427, 466315425, 466315423, 466315421, 466315419?\n\"Answer: -2*k + 466315431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -17) + 37 - (56 + -8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1313, 913, -179, -2311, -5831, -11087, -18427, -28199?\nAnswer: -40751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 447*i + 1365. Calculate m(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:18 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 7*u = -30. Let c(w) = -u*w**2 + 14*w**2 - 4*w - 10*w**2 + 2. What is c(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 158. Suppose -50 = -o*b + 108*b. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2480 and 73780.\nAnswer: 295120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 71 = s, -3*f = -7*f - 4*s - 76. Is (2 + 8560\/f)\/((-2)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 - 8*s**2 + 6*s - 6. Determine v(4).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 79*q + 83*q + 37, q = 26*d + 71 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170905120.\nAnswer: 2, 5, 29, 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1825467\nAnswer: 5\/1825467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016\/104553 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7344 by -12.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 5401.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*t**4*z**2 + 10*t**3*z**3 - 325*z**3 with respect to t.\nAnswer: -188*t**3*z**2 + 30*t**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 29, -146, -447?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o**3 + 27*o**2 - 8*o - 5. Let y be l(3). Calculate the greatest common factor of y and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 72714220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f**3 - 7201*f**2 + 537582*f + 180018. Let h(o) = 6*o**3 - 1800*o**2 + 134396*o + 45004. Let m(a) = -9*h(a) + 2*u(a). Factor m(z).\nAnswer: -2*(z - 150)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 2*s + 0*s + (-5 + 4 + 2)*(393*s + 232*s - 221*s).\nAnswer: 401*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z. Let g(c) = -c**2 + 69*c. Give i(g(m)).\nAnswer: -16*m**2 + 1104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 2*q**2 - 6*q + 2. Let u be j(-4). Let p(a) = 2*a - 8. Calculate p(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*c + 32, -7*h + 6*h - c + 4 = 0. Suppose 0 = -0*q + 3*q. Suppose q - 42 = -3*i. Calculate the remainder when i is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2547445 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -z - 4831, -5*s = -s - 4*z - 6452. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by 11255?\nAnswer: 186\/11255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*b + 5*b. Let p be (0\/1)\/(5 + b). Suppose -c = 1, s + 2*s + 3*c - 18 = p. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69\/4 + -17. Let i be (3 - 1)\/(1 - 15). What is the nearest to j in i, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17020470 and 45387920.\nAnswer: 136163760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {a: 1, n: 3, z: 2, o: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9138 times 3556?\nAnswer: -32494728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 43. Is 17\/5 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 3*m + 61 - 71, 3 = 2*p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-85) - 2042\/(-17). Let y be 144\/t*50\/4. Suppose 12 + 18 = -y*j. Put 4, j, -1, -3 in ascending order.\nAnswer: -3, j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9 = -3*o. Let t(g) = g + 1. Calculate t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644.4 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17927.\nAnswer: 7, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 8*n**2 + 3*n - 42. Let t be b(7). Differentiate -149 - 166 - t*i**3 + 375 wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -53*p + 486. Let z be l(9). Solve -17 + 8 = -z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -21*c + 82. Let m be j(2). Suppose 3*s + g + 0*g = 209, 4*s - 279 = -g. Calculate the highest common factor of m and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 + 1270*y**3 - 608*y**3 - 660*y**3 - 2*y**2 + 140 - 14.\nAnswer: 2*y**3 + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2)*1\/2. Let s(a) = a**2 - 16*a + 4. Let i be s(16). Suppose i*j + 5 = -j. Sort c, -5, j.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -536 and -79.527.\nAnswer: -615.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3402700*m**3 - 3*m**2 - 19290*m + 244 wrt m.\nAnswer: 20416200*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 16*y - 37 = 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -17. Let a = -3887 - -3887. What is the closest to a in z, 0.1, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3571 or -1?\nAnswer: 1\/3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 248 - 246. Let r be (-10)\/(-2)*(-1 + 0). Let p = -1 - -2. Sort p, r, f in decreasing order.\nAnswer: f, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(2\/7)*c)\/c**(2\/3)*(c**3\/c)\/((c*c\/(c**(-1)\/c))\/c) assuming c is positive.\nAnswer: c**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52745713, 52745715, 52745717, 52745719, 52745721, 52745723?\nAnswer: 52745725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -2.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006299 minus 4?\nAnswer: -3.993701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1516, 1515, 1514, 1513, 1512, 1511?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513799*n**2 - 40*n**4 + 513788*n**2 + 2*n**3 - 745*n - 954*n wrt n.\nAnswer: -480*n**2 + 12*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-13) - (-120)\/2470. Sort 0.1, 1, f, -5.\nAnswer: -5, f, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 89157\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1451, 1454, 1459, 1466, 1475, 1486, 1499?\n\"Answer: c**2 + 1450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51758038 less than 1?\nAnswer: -51758037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2\/9)*s*(s**(2\/13)*s*s)\/s*s)\/(s**5*s**(-4\/13)) assuming s is positive.\nAnswer: s**(80\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 15*d**2 - 52*d - 9. Calculate the smallest common multiple of t(9) and -1*20\/12*-27.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v - 3*r + 6, v = r + 2. Sort v, -5, -0.05.\nAnswer: -5, -0.05, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, d: 1, j: 1, u: 1, w: 1, k: 1}. What is prob of picking 1 w, 1 k, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2515538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 5588*k = -5593*k + 75, -3*w = -0*w + 5*k + 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 103869*r + 103869*r + (-3 + 3 + 3*r**3)*(-1 - 2*r + 1) as c*r**2 + h + n*r + y*r**4 + k*r**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564709225?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21)*-3)\/(1116\/(-868)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 17436.4.\nAnswer: 17417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(66)*-2*6)\/(sqrt(60)\/(sqrt(40)\/sqrt(4)) + sqrt(96)*-3)*-6)**2.\nAnswer: 46656\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 535510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 775 in -0.1, 5, -0.5, 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2227428 and 3588634.\nAnswer: 64595412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 9259 = -263. Which is bigger: p or -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = 5*d, 2*d - 10*t + 8*t + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2349, -4923, -7725, -10755, -14013, -17499, -21213?\n\"Answer: -114*t**2 - 2232*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5393850 and 14024010.\nAnswer: 70120050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 137, 1\/4, -3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*d + d, 0 = 3*d + 5*v. Let b = -0.1 - 0. Is d smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 5*l**2 + l - 3. Let q(u) = 6*u**2 - u + 2. Give 2*f(h) + 3*q(h).\nAnswer: -2*h**3 + 8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 156501*q**3 - 29*q**2 - 2*q + 3. Is m(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*r - 51*r - 92. Suppose 3*u - r = -14. Solve u*s - d - 7 = -s, -3*s - 3*d + 9 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orpprropxpxxpooppro. Give prob of picking 2 r and 2 o.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 3 - 21. Let d be h*2\/8*6*2. Suppose 742 - 211 = d*p. What are the prime factors of p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from ffqfqlfmqffqfffff.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 + -100021?\nAnswer: -111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d + 293706 = 373*d. Calculate the lowest common multiple of 66 and d.\nAnswer: 21978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 38*l**3 - 11*l**2 + 10*l - 50. Is 154 a factor of h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15019 <= -15029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3310 and 34\/135379.\nAnswer: 1353790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444269654 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*q = -2072, -5*q - 1729 = -5*b + 911. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*c - 46802 = -56422 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 + -1021103?\nAnswer: -1020132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 6:12 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 2:40 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2 + 1 + 40*o**2 - 10*o**2 + 15*o**2. Calculate the remainder when g(-1) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9*i)\/(i**6*i))\/((((i**11\/i)\/i)\/i*i)\/(i*i*i*(i\/i**(-5))\/i)) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11006141 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18308.\nAnswer: 2, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k - 2437 - 5*k**3 + 2439 + 3*k**3 + k**3.\nAnswer: -k**3 - 69*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705\/7 + -101. Let k = -1.6 - -0.8. Let y = k + 1. What is the nearest to i in y, 1, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*m**5 - 36*m**4 - m**2 - 3483*m wrt m?\nAnswer: 1680*m**2 - 864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 92*r - 1 + 92*r + 3*r**2 + 0*r**2 - r**2 + (2*r + 2*r - 2*r)*(2 - 2 + 2*r) + 3 - 3 + 2*r**2.\nAnswer: 9*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/210)\/(3 - (-48)\/(-15)). Let a = 0.5 - 0.6. Sort 0, -5, a, u.\nAnswer: -5, a, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 4*i + 3920 = 0. Calculate the highest common divisor of i and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Let d(f) = -3 + z - f - 4. Suppose -2*m = -26*m - 96. Let p(q) = -3*q - 8. Calculate m*p(s) + 11*d(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11340.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 21.3. Sort 1\/4, y, 4 in descending order.\nAnswer: 4, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120*966\/2760*2\/(-91)*3.\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95429 not equal to 95721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22575529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-9639)\/(-264)) - 6\/21\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/877 in -2\/3, 3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 37 + 228 = 0. Suppose 4*j + z = -2*t - t, -j = -t - 6. What is the units digit of (-22)\/121 - 266\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 20 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3231, -3260, -3289, -3318?\n\"Answer: -29*w - 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from ixdiddcd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let l = 21 + -27. Let c be l\/9*3 - -9. Let r(x) = -10*x - c*x + 25*x. Determine a(r(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152)\/608 - (-87)\/(-24)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*c - 5*n, 6*c - 26 = 2*c - 5*n. Solve 0 = 3*l - 2*l - 4, -h - c*l = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 2*m - 8*m**4 - 7*m**3 + 3*m**3 - 3*m**3 + 1 + 6*m**4 - m**3 to the form f*m**3 + h*m + i*m**4 + s + w*m**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/(5\/(-2))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/17249 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 762*l**2 - 452*l - 8. Is m(-4) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 169541*p + 169557*p + 169557*p - p**2 + 169528*p - 678156*p.\nAnswer: -p**2 + 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1152*n**3*p + 18*n**3 + 3*n**2*s + 2217*n*p*s - n*p - p + 469560*s wrt p.\nAnswer: -1152*n**3 + 2217*n*s - n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8))\/o*o\/o**(-2\/19) assuming o is positive.\nAnswer: o**(-131\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 528 = 4*t, 2*t - 2*m = 6*t - 532. Let u = t - 131. What is the nearest to -5 in 0.8, 3, u?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66500)\/(-80))\/(-133)*48\/20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104229, 208623, 313013, 417393, 521757, 626099?\nAnswer: 730413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -9, 193.\nAnswer: -9, 149, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5675374 by 382.\nAnswer: -14857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (-1 - (9 + (12 - 11))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 7*j - 3. Suppose v = 4*y - 14, -5*v = y + 1 - 15. Suppose -v*x = -4*x - 10. List the prime factors of o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -7 (b) -2\/11 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32 - 18 + 30 - 7*m**2 wrt m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, -4, -47, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.34 - 157.\nAnswer: -157.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368\/(-1380)*(81\/(-78))\/9.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*g - 83 = u, 0 = 3*g - 3. Let k(a) = -5*a + 9. Let b be k(-7). Is u greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2037*d - 38819 - 81364 = 0 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - 76. Suppose -9*y = -r*y + 250. Let t = y - -72. What is the highest common factor of 66 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9384 and 3.543.\nAnswer: -9380.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence steb when four letters picked without replacement from {s: 1, t: 5, q: 5, b: 1, e: 2, w: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*b + 4625421 = 174*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -72. Suppose 0 = y - 2*y - 3*c - 17, 0 = m*y - 4*c - 12. Which is bigger: 2\/47 or y?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1143\/2 + (8 - 8). Let m = -615 + g. What is the common denominator of 37\/2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7869 times 426\nAnswer: 3352194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -dd?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/9)\/n*n**(2\/9)\/n)\/(n**7*n*n**(-4\/7)) assuming n is positive.\nAnswer: n**(-587\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 3 - 63*o**3 + 10*o**3 - 1 in the form c*o + s + h*o**2 + b*o**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3078 - -3091. Solve w*c - 79 = -14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*u + 6*u - 14 = 0, -3*u + 13 = -5*o. Let w be (1 - o) + 10 + -16. Let d be (w + 3 - 2)*-1. Solve 3*y + 3 = 2*j - 5*j, -5*j = -2*y - d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 6*p**2 + 3*p**2 + 0*p**2 to h*p + a + c*p**3 + s*p**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001065071 rounded to six dps?\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.263924 micrograms?\nAnswer: 0.000000008263924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2573 and -422.4?\nAnswer: 2150.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - w - 6. Let c be g(0). Let n = c + 8. Suppose -5*o - 2*q - 449 = -10*o, -176 = -n*o - q. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 + (35 - (-87 - -22)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.44. Let d = h - -4.14. What is the second biggest value in 3\/2, 0.2, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/2 - 357*j**3 - 119257*j**2\/2 + 1422582*j + 1481854 = 0.\nAnswer: -386, -349, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 39*d**2 - 4*d + 178. Let k be f(39). Solve 44 = -22*j - k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(-6 + -18 + -6). Is ((-175)\/t)\/(1\/(-45)*-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 + -3)) + -1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1009274779 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -211\/3 (b) 7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = f - 2*c - 24, 2*f + 2*c = 32. Suppose 22 = 4*d - f. What is the least common multiple of d and 141\/282 - 78\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(13*j - 3 - 10*j + 4) + (5*j**2 - 3*j**2 - 3*j**2)*(0 + 3 - 1) - 26*j**2 - 355 + 355.\nAnswer: -25*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 2*u**3 + 4*u**3)*(-85*u - 68*u - 28*u).\nAnswer: 362*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*v**3*w**2 - 36*v**3*w - v**3 + 6*v**2*w**2 + v**2*w + 1109*v*w**2 wrt v.\nAnswer: -276*w**2 - 216*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 521043 and 9.\nAnswer: 1563129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 13*h**2 + 5*h + 10. Determine w(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 15. Let n(t) = 4*t - 29. Let w be 546\/(-52)*(-4 - (-70)\/15). Give w*r(v) + 4*n(v).\nAnswer: 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 11 - 8)*(190*w + 192*w - 322*w**3 - 382*w) as u*w + j + o*w**2 + l*w**3 and give l.\nAnswer: -1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -2 (c) 3\/22 (d) 1\/8 (e) -1263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1303270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16164162 divided by 9\nAnswer: 1796018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = b - 5*h, 3*h = h - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/(-40)*-4 - 8. Let q = 0.3 + -0.8. Let h = -0.01 + -0.19. Which is the second smallest value? (a) l (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + 1*sqrt(288) + sqrt(8) + sqrt(8)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 478 - 272. Let j = v + -171. Which is the second biggest value? (a) j (b) -2\/7 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 5*p**2 + 2*p - 5. Let q(r) = 3*r**2 - r + 1. Let i be q(-1). Let z be o(i). Solve -a + 3*a + 29 = -5*n, z*n + 31 = -3*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 8 + -4 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 21. Suppose 98 - 2 = 8*q. Calculate the least common multiple of b and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*g - j - 10, -2*j = 5*g - 10. Let h be (64\/30 - 2) + 1666\/105. Suppose -g*o = 2*o - h. Solve 5*p + o*c = 22, -5*c = p - 22 + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 0, -1, 5 in decreasing order.\nAnswer: 18, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150.035 - 1.135. Sort -4, 2\/11, m.\nAnswer: -4, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140560*m**6 + 49*m**2 + 361.\nAnswer: -16867200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 (base 11) in base 16?\nAnswer: -e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -5*h**8\/336 - h**4\/24 + h**2. What is the second derivative of c(q) wrt q?\nAnswer: -100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from epqbbie?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*s**3 - 262*s**3 + 501*s**3 + s**2 - 587*s**3.\nAnswer: -1175*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/(2\/10). Suppose 5*p - 34 = 2*v, -5*v + 6 = b*p - 49. Let c be -7*(-11)\/(-924)*-36. Solve c*q - q = -j + 7, 5*j + q = p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12463 is divided by 240?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 21170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4900*u**3 - 2507540*u**2 - 322054016*u - 319551376 = 0.\nAnswer: -8938\/35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1147, -1503, -1859, -2215, -2571?\n\"Answer: -356*o - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.80747 + 2.4521. Let h = -9.64513 + j. Let a = 10 + h. Round a to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.722 and 2.\nAnswer: 3.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - ((1 - 0) + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1269 + -58403\/46. Find the common denominator of d and (-14)\/(-12) - 2\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -28) + (-2 - -5 - 6) - (45 + 1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11342624?\nAnswer: 2, 127, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4*d**2 - 6*d + 2. Let g = -11 - -16. Let b be o(g). What is the second biggest value in 0, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 5*w - 18, 5*o + 4*w = 2. Let g(z) = z**3 - 4*z**2 + 5. Let m be g(4). Solve -o = 3*l - 5*k - 5, -4*k - 32 = m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4571594 = 70*b + 5934371 - 231365. Round b to the nearest one thousand.\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((2 - 1) + 5 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -589 + 30382\nAnswer: 29793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**4 - v**2 + v - 1. Let b(t) = -25*t**4 + 2*t**3 - 2*t**2 + 2*t + 25. Let w(s) = -b(s) + 2*q(s). Find the first derivative of w(f) wrt f.\nAnswer: 108*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871*-105527.3.\nAnswer: 91914278.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42759.\nAnswer: 3, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(2\/11) assuming i is positive.\nAnswer: i**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.05 + -4. Let l = p + 0.75. Let m = 0.79989 - l. What is m rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6037.000002499 - 6037. What is u rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f. Let n(d) be the third derivative of -1\/15*d**5 + 0*d**4 + 3*d**2 + 0 + 0*d**3 + 0*d. Give n(q(z)).\nAnswer: -484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 399 + 1 - 0\/(0 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*k - 179*k - 392*k + 124390 = 2080*k for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2430\/43 - -14816\/215. What is the common denominator of 9\/455 and s?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (13 - -1 - -15) - (-37 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156515, -153798, -151081, -148364, -145647?\nAnswer: -142930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1841*c**3 + 2*c**2 + 1856*c + 226689956 with respect to c.\nAnswer: -5523*c**2 + 4*c + 1856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36471*s**2 - 13955 wrt s.\nAnswer: 72942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((1\/(2\/(-5)))\/((-198)\/(-1188)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3\/50 (c) -2 (d) -16 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22963069?\nAnswer: 113, 203213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -29. Let y be o\/((-28)\/(-29) + -1). Does -29 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - k**2)*(0*k**3 + 3*k**3 - 2*k**3) + 3*k - 4*k**5 - k**4 - 3*k.\nAnswer: -2*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 22570?\nAnswer: -22707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + -3 + 2 - -4. Let d(x) be the second derivative of -4*x**3 - 2*x**2 - 7\/4*x**4 + w - x + 49\/20*x**5. Factor d(c).\nAnswer: (c - 1)*(7*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -5 (c) -1\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3134?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088835?\nAnswer: 5, 19, 107, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:16 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1196.62 + -2281518791\nAnswer: -2281519987.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 + 289. What are the prime factors of (-1 + -47)*4*w\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -2 (c) 971 (d) 2 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*w + 29 = 0, 2*k + 0*k - 5*w + 14 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 40*q**2 - 180*q - 90. Calculate i(45).\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -641 + 153. Let t = i - -485.1. What is the closest to -1 in t, -5\/2, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + v**2 - 7*v**2)*(-112 + 803 - 3342)*(2 - 3 + 3) in the form k*v + w + s*v**2 and give s.\nAnswer: 26510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -12*6\/3*2\/(-3) and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9267.178mm?\nAnswer: 9267178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 d, and 1 y when four letters picked without replacement from {n: 6, y: 5, z: 1, g: 3, d: 1, v: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 134. What is the remainder when m is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/4*(-7 - 48\/(-6)). Put -0.05, 5, -0.07, 0.3, r in descending order.\nAnswer: 5, 0.3, -0.05, -0.07, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 99*b + 1448. What is the lowest common multiple of c(107) and 296?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-95)*(-10)\/(-18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, -17, 5, 569 in decreasing order.\nAnswer: 569, 5, -17, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53, -91, -191, -383, -697, -1163?\n\"Answer: -5*z**3 - z**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(343)*-2.\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 3, s: 1, n: 5, c: 1}. What is prob of sequence nkc?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.5, 0.07, 5, 0.3, -7\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 17, 45, 95, 173, 285?\n\"Answer: g**3 + 2*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132458 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b*b**(-1\/2)*b*b)*b)\/b*b)**(2\/3)*b\/b**(-4)*b**(-10) assuming b is positive.\nAnswer: b**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Let u(k) = -k + 4*k - x*k. Let y(r) = -2*r**2. Give u(y(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m + 5 - 150*m - 4 + 1.\nAnswer: -246*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (4 - 49) + 30 + 139.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 306737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 6. Let c(y) = -y - 1. Calculate c(l) + d(l).\nAnswer: l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*g - 11, -4*u - 18*g + 22*g + 4 = 0. Calculate the highest common factor of 54 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6193894 hours in days?\nAnswer: 0.109141225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 1. Let r = b + 3. Let v be 35*(17 + r\/2). What is v rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**14*b)\/((b**(-10\/3)*b)\/b) assuming b is positive.\nAnswer: b**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/39662656 and 73\/140316.\nAnswer: 118987968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from dbkbdzdkkkcbkszdddss.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -10. Suppose g = -2*a - 5*m, -2*a - 2 = -2*m - 14. Suppose -2*h = a*h - 15. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-1))\/(8\/(-136)). Let z(r) = 19*r + i + 4 - 14*r - 4*r. Let a be z(0). What is the greatest common divisor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -115. Let n = o - -110.88. Let q = 0.08 - n. Round q to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + -3 + (-3 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*-4*5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 322 + -190. Suppose -3*g = -25 + 19. What is the least common multiple of n and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021121 (base 3) in base 10?\nAnswer: -7495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 58. Let g(f) = f - 2. Let p be (-28)\/(-6)*(-3)\/(-2). Let j be g(p). What is the highest common factor of j and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 91*n - 8. Let y(q) = -4*q**2 + 71*q + 7. Determine 3*t(j) + 4*y(j).\nAnswer: -4*j**2 + 11*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/41)*m)**(-15) assuming m is positive.\nAnswer: m**(-585\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y + 53. Let l be f(-5). Let h be -48*(13880000\/l)\/(-8). What is h rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f + 2*w + 6, 5*f + w - 15 = 0. What is the nearest to -1\/2 in -3, f, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 0. Which is the nearest to w? (a) -4 (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 28*k**3 + 56*k**2 - 74*k + 549. Is a(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 6704218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 6. Suppose -4*z + 16 = 2*m, 2*m - 5*z = -0*m - 2. Suppose 6*l = m*l + 10. Suppose l*y = -0*h - h + 29, -5*h + 30 = 2*y. Determine x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:09 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*c - 104223 - 128507. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/8 at most as big as -25\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2 - (-1 - 0). Suppose 5*i - 9 = o - w, -5*i - o + 11 = 0. Let v be (2\/1 - i)\/(-2). Solve v*a = -3*a + 9, 3*j - 3*a + 21 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 4:25 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 351232726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*k + 160*k - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2. Let k(b) = 1. Let f(p) = -6*i(p) + 13*k(p). Let m(r) = 5*r**2 - 10*r - 30. Let d(u) = 30*f(u) + m(u). Factor d(v).\nAnswer: 5*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488648*o - 488894*o = -15498 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278486\/52 - (-4)\/8.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 240 = -27*h. Let q be (h\/(-4))\/((-2)\/(-263)). Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/4, 5, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(1\/7))\/(a\/a**1))\/((a**(1\/11)*a)\/a**(-1)))**(6\/11))**(2\/67) assuming a is positive.\nAnswer: a**(-876\/56749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25043 = -225*v - 7718 for v.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f5 (base 16) in base 11?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*p**4 - 9*p - 41*p**4 + 8*p - 13*p**3 to v*p**2 + m + g*p + w*p**4 + h*p**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*1 + sqrt(77) + -4*(1*sqrt(77) - sqrt(77)))\/((-1*sqrt(1100) - sqrt(1100))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573))**2*4*-3.\nAnswer: -18984 - 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455207 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: What is the billions digit of 1574359717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51731755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (31 - 33) + 2791*-2 + 2. Let u = 12201 + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 + (-30)\/(-2) + -4. Suppose i*t = -7*t + 90. Suppose 0 = t*x - 84 - 12. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/(-2) - -2. Suppose z + f = -0*z. Let r be (25 + z)*(-3)\/(-9). What is the highest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.91\nAnswer: -0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 10. Let i be o(0). Let d be 4*11\/2 - (-13 + 10). What is the highest common divisor of i and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:33 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1299765 + 3.13. Round f to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 802 + -797. Suppose r*i - 4*n = 1546, -11*i + 608 = -9*i + n. Is i a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -411*x. Let b(v) be the first derivative of v**2 + 344. Calculate b(k(f)).\nAnswer: -822*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -3 + (-12)\/(-2). Solve l + 4*l + 6 = -3*z, -m*z = 5*l + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8\/7)*h*h**19*h*(h**(-1\/3))**38 assuming h is positive.\nAnswer: h**(151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b**4 - b**3 - 126*b - 227333.\nAnswer: -60*b**3 - 3*b**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22952 + 0.18052. Which is the third smallest value? (a) -37 (b) x (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31881 or -31880?\nAnswer: -31881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 - 80*n - 156. Let x(s) = -35*s**2 + 880*s + 1716. Let t(m) = -69*r(m) - 6*x(m). Solve t(f) = 0 for f.\nAnswer: -78, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 4*u + 6, 0 = -p - 2*u + 13. Let w = p - 1. Suppose 1 - 8 = -b - 3*f, -w*b + 14 = -2*f. Solve 6*n = 2*n + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1202*j - 456. List the prime factors of c(-5).\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2344, -4554, -6506, -8080, -9156, -9614, -9334, -8196?\nAnswer: -6080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*s + 10, 5*n + s - 8 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/(-190)*2\/((-8)\/10) and 5 - 1 - (-4 + (-2717)\/(-396)).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -14, 29, -3 in ascending order.\nAnswer: -14, -3, 29, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421216451 - 421216389.9826993. Let j = c + -60.9173. Let k = j - 0.1. Round k to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**8\/1680 - 7*l**4\/24 + l**3 + 9*l. Let w(a) be the second derivative of b(a). Find the first derivative of w(f) wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851 + 571 = -7*v. Solve b + 41 = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2191 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a + -4?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323 a factor of 2844280815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -599*s**3 + 9*s**2 - 9*s - 620. Let h(t) = -301*t**3 + 4*t**2 - 4*t - 310. Let u(m) = 4*f(m) - 9*h(m). Differentiate u(p) wrt p.\nAnswer: 939*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 k, and 1 h when four letters picked without replacement from {m: 8, k: 2, h: 1, d: 4, e: 1}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 37. Let x = 40.4 - d. Which is the nearest to -1\/2? (a) -4 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**3 + 100*k**3 - 25*k**3 - 24*k**3 - 21*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**2 - 11*j**2 + 58*j**2 - 12*j**3 + 26*j**2 + 21*j**2 in the form y + d*j**2 + k*j**3 + q*j and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - c**2 + 25*c + 6008.\nAnswer: -c**2 + 6008","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202200 + 2?\nAnswer: 202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = -14. Let u(l) = 6*l**2 - 2*l + 3. List the prime factors of u(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -1 (b) 2 (c) -4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217968601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {m: 10, d: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinniinnninit. What is prob of picking 2 i and 2 n?\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 690231.93 to the nearest 10000.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 6. Let a(s) = -5*s**2 - 35. Give 6*a(l) - 35*g(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4272617355390.2074867753 - -4272617354548. Let w = -0.2075310753 - f. Let r = -842 + w. Round r to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 286*l**2 - 14*l + 87. What are the prime factors of a(4)?\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001160534173 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1369 + 184816\/135. Let g(o) be the second derivative of -3*o + 1\/9*o**2 - i*o**6 + 0 + 1\/45*o**5 + 0*o**4 - 2\/27*o**3. Suppose g(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 676*s**2 + 27192*s.\nAnswer: 4*s*(s + 66)*(s + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 18*l**3 - 34*l**2 - 66*l + 180.\nAnswer: -2*(l - 5)*(l - 3)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*s**4\/5 - 909064*s**3\/5 + 272724*s**2 - 681814*s\/5 + 113636\/5.\nAnswer: -2*(s + 56818)*(2*s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*m - 7 + 31 = 0, 4*y - 2*m - 42 = 0. Let h = y - 10. Let v be 1\/4 - 4\/16. Sort h, -3, v in increasing order.\nAnswer: -3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/568 and -87\/2555716.\nAnswer: 5111432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -29 + 46 + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.2 (c) -0.2 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/21 - ((-234)\/21 + 8). Let o(u) be the second derivative of 0 + 17\/6*u**3 + 0*u**2 - i*u + 5\/12*u**4. What is the second derivative of o(a) wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 - 5*y**3\/3 + y**2\/2 - 6*y + 6. List the prime factors of b(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 7. Let n be a(-3). Let u(p) = 14*p + 17. Let q be u(n). Suppose -5*z - 4*b + 119 = -2*z, 4*z - q = -5*b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-27)*m*m*m**(-8))\/(m*m**(-4\/3))**14 assuming m is positive.\nAnswer: m**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -519242 - -38410630.\nAnswer: 37891388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u - 2*u)*(-u**3 + 2 - 2) + 1 - 1 + u**4 + (-3 - 3*u + 3)*(1 + 0 - 2)*(-7*u**3 + 5*u**3 - 4*u**3).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 0. Suppose 0 = -6*x + s*x + 22. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 101420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 227. Let y(z) = 25*z. Give y(s(a)).\nAnswer: -125*a**2 - 5675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541*r + 1050 = 616*r. Calculate the smallest common multiple of 3382 and r.\nAnswer: 23674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Suppose -k*w - 12 = -2*l + 6*l, 0 = -l + 5*w + 20. Is 9 a factor of l + 2 + 100\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 7*s**2 + 27*s + 9. Determine q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (931\/(-147))\/(2\/12). Let j be 4\/h - 465\/95. Let r(z) = -9*z**2 - 7*z + 9. Let y(q) = q**2 + 3*q - 2*q**2 - 4 + 5*q**2. Calculate j*y(d) - 2*r(d).\nAnswer: -2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 5*n + 1. Let u be x(-5). Suppose u = -4*y + 109. Solve -2*d - 5 = 3*v, 3*v = -4*d + y*v - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 3.97. Let r = 4 - k. Let d = -0.1 - r. Sort 3, -2, d in decreasing order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1, -991, -5 in ascending order.\nAnswer: -991, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*x**5 - 54*x**4 + 30*x**3 + 60*x**2 - 3*x - 6 = 0. What is x?\nAnswer: -2, -1, -1\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 528\/14 + 2\/7. Suppose 20 = j - 5*c, 152 = 3*j + 3*c + t. Suppose -6*w + w + j = 0. What is the remainder when 18 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 705*j**2 + 84*j**2 + 3*j**3.\nAnswer: 2*j**3 - 621*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 24 - 7 + 97*h**3.\nAnswer: 113*h**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 502855 - 1565145 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 3*o - 30. What is the remainder when 2513 is divided by z(5)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1954 and 143\/12?\nAnswer: 11724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791534.\nAnswer: 2, 7, 413681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33563\/1948 + 10\/487. What is the common denominator of -119\/10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 6397, 16428, 30493, 48598, 70749?\nAnswer: 96952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (36 + -105) - 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.54036 kilograms in micrograms?\nAnswer: 60540360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k*k\/(k\/(k*k*(k\/(k*k**0))\/k*k)))\/k)*k)*((k*k**6)\/k)\/k)\/((k\/(k*k**(2\/5)))\/k**(1\/3)) assuming k is positive.\nAnswer: k**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -10. Let z = -27.5 + 27. Let u = 6\/155 + -376\/1705. Which is the third smallest value? (a) -5 (b) p (c) z (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/41820 and 169\/236160.\nAnswer: 4014720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001010889644 to 7 decimal places.\nAnswer: -0.0001011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-10)\/12*18954\/260. What is u in 27*u + o*u**2 + 3 = 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1702 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -227, -438, -803, -1334, -2043?\n\"Answer: -2*u**3 - 65*u**2 - 2*u - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 18. Let y be 24\/(-6) + 1 + -5. Let v be p(y). What are the prime factors of (30\/9)\/(v\/24)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + 5 + -1 + (sqrt(17) + sqrt(1088) + 1)**2 + (2*(sqrt(153) - 3*(sqrt(153) - sqrt(153)*1)))**2.\nAnswer: 18*sqrt(17) + 1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*u)*(-3*u - u**2 + 3*u) + (-2*u**2 + 4*u**2 - 3*u**2)*(15*u + 21*u + 24*u) + 3*u - 3*u + 4*u**3.\nAnswer: -54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/(l\/l**(1\/2)))\/l)))\/((l*l**(1\/4)*l)\/l))\/(l**4*l**(-1\/3))*(l\/(l*(l*l*l**1)\/l)*l*l*l**5*l)**(1\/6) assuming l is positive.\nAnswer: l**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50639371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:04 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -478b64 (base 14) to base 10.\nAnswer: -2444404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 1. Let c(g) = -4*g**2 - 16*g + 1. Let n(i) = -c(i) + 5*w(i). Does 7 divide n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-7 - -2) - -4) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 minus 0.084?\nAnswer: 593.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 30. Suppose -11 = c + 3*q, 4*c - 2*q + 12 = -o*q. Suppose -u + 5*y = c, 4 = -3*u - 3*y + 19. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -0.2, -0.4, -2, 1\/52?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 7*h + 23 + (-1 - 2 + 1)*(1771*h - 979*h - 991*h).\nAnswer: 405*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012001122 (base 3) in base 5?\nAnswer: -2334210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35843, 35508, 35173, 34838, 34503, 34168?\nAnswer: 33833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1983*p + 97815. Determine i(49).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 222 - 504 + 2476*n - 2619*n - n**2.\nAnswer: -(n + 2)*(n + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69828473 to four dps.\nAnswer: 0.6983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168440, 336842, 505244, 673646, 842048, 1010450?\nAnswer: 1178852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 54*u - 218. Let s be q(6). Sort -5, -6, 4, s, 2.\nAnswer: -6, -5, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -24*u**7\/7 - 8*u**3\/3 + 3. Find the third derivative of n(z) wrt z.\nAnswer: -2880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(2 - 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.5992485 - -73.5992416. Let u = -1008 - -967. Let c = u + p. What is c rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.429835 years in centuries?\nAnswer: 0.00429835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2448))*2 + (sqrt(425) + 1 + sqrt(425))*3)**2.\nAnswer: 324*sqrt(17) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 2. Let n(s) = -2*s**2 - 63*s + 63*s. Determine n(p(q)).\nAnswer: -8*q**4 - 16*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 708 and 23.\nAnswer: 16284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 429\/5, 0.3, -1\/5 in ascending order.\nAnswer: -3, -1\/5, 0.3, 429\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/150 - u**5\/100 - u**4\/20 + u**3\/6 - u**2\/5 + 104*u. Factor v(t).\nAnswer: (t - 1)**3*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t + 48. Let r be k(6). Let z = -1 + 3. Let i = z + r. Solve 12 = i*v + v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/2 - 18\/24*4. Suppose 8*c - g*c + b + 473 = 0, 4*b + 1190 = 5*c. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10745 - 472775\/44. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2849608 divided by 43\nAnswer: 2849608\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g + 2*g. Let v(p) = p**3 - 8*p**2 - 8*p - 1. Let z be v(9). Suppose z*m - 25 = 87. Calculate the smallest common multiple of m and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5017 - -5021. Suppose 0 = -0*c + 5*c + 5. Put -2, 3, c, p in ascending order.\nAnswer: -2, c, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 36*i.\nAnswer: 3*i*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 15*z**2 + 15*z - 10. Let r be a(14). Differentiate -16*d**4 + 17*d**r + 0 - 6 wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(1\/11)\/z*z)\/z)\/(z**(-1)*z))\/(z**(-2\/11)*z\/z**(-2\/9))*(z**(-2\/3))**(-49)*z\/(((z**3\/z)\/z)\/z*z*z*z)*z**(1\/7)\/z assuming z is positive.\nAnswer: z**(20000\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2215013 (base 6) in base 4?\nAnswer: -123022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + -222?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3001 by -4.\nAnswer: 3001\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-2)\/(-4)*-2). Let o = 0.5 - -0.5. Let t = 8.602 - 9.102. Which is the fourth biggest value? (a) o (b) t (c) 1\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*o**3*x**2 - 27*o**3 - o**2*x**2 - 3*o*x**2 + 60*x**3 + 20*x wrt x?\nAnswer: 50*o**3 - 2*o**2 - 6*o + 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**2*z**5 + 10*q**2*z + 3*q*z**4 - 15*q*z**3 - 20*q*z + 2*z**2 wrt z?\nAnswer: -780*q**2*z**2 + 72*q*z - 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*v + 24 - 222, -5*v + 255 = -p. Let n(f) = -4*f + 1. Let i be n(-3). Calculate the highest common factor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -a?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51075 or -51073?\nAnswer: -51075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/j**(-18))*(j*j**(2\/7))\/j*((j**(-1\/13)*j)\/j)**(-2\/5) assuming j is positive.\nAnswer: j**(-8501\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687*k**5*l + 3*k**2 - k*l + 10*k + 165*l wrt k.\nAnswer: -13740*k**3*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/36 - (-304)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssspppssci. What is prob of picking 2 p and 2 s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*r + 1251 = 4*y, 0 = 2*y + 2*r - 648. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2. Let k(z) = -5*z**2 - 35*z - 162. Let m(f) = -4*f**2 - 25*f - 108. Let y(l) = -5*k(l) + 7*m(l). What is o(y(h))?\nAnswer: 27*h**4 - 972*h**2 + 8748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-16))\/(52\/(-104)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 4*z + 6*z to p + v*z and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 71712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2 - 3*l**2 + 6*l + 8 + 2*l**2. Let r be q(7). Suppose -r*s = 3*p, 0 = 6*s - 3*s - p - 20. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*w + 7*t + 1, -11 = -w + 2*t. Suppose 1 + w = 4*x. Suppose 8*a - 7*a = -x. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20)*140\/(-195))\/7?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z - 269 - 1160 - 357 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4446610 (base 11) to base 7.\nAnswer: -123164631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 4*u - 1. Let g be t(-1). Find the common denominator of 41\/11 and (10\/80)\/(g - (-3)\/(-105)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 259?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehh when four letters picked without replacement from kezekeheeehee?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-218.29.\nAnswer: -21.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -11*w**9\/504 - w**5\/15 - 14*w**2 - 7. Let r(u) be the second derivative of g(u). Find the third derivative of r(k) wrt k.\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 3*s - 3*s - 5*s + 3*s + 4*s + (-4 + 0 + 2)*(2*s - 1 + 1) + (1 - 1 - 3)*(7*s + 0*s + 0*s) to v*s + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 14*u + 45. Let d(o) = -55*o - 10. Let h(m) = -5*m - 1. Let w(p) = 6*d(p) - 65*h(p). Let i be w(u). What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j*u**3 + 51*j*u**2 + 257*u**3 - 23*u wrt u.\nAnswer: -66*j + 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 - 1444*h - 4350 = 0. What is h?\nAnswer: -3, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.3 (c) -12\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 41?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1305719180348831 and 5.\nAnswer: 1305719180348836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -0.5 (c) 0.28 (d) -2 (e) -3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (243\/108 - 83\/(-12))*(-40)\/(-200)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = -i. Suppose -4*a - 160 = 5*w, -2*a = i*w + 38 + 24. Let u = w + 72. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1994\nAnswer: -1\/1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**1))**(-33)\/((c**(-15\/2)\/c)\/(c*c**15)) assuming c is positive.\nAnswer: c**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Is 5 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2 - 35*q + 48. Let p(i) = 7*i**2 + 28*i - 48. Determine 5*f(x) + 6*p(x).\nAnswer: 2*x**2 - 7*x - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 17 + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - -1101111?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.44 + 10.24. Let k = -10.9 - -12. Let b = -0.1 + k. What is the closest to b in -0.1, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8. Let t be ((-36)\/(-30))\/(j\/(-20)). Let m = -10 + 10.1. Is t greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385.126629 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -3.69?\nAnswer: -7.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 14*x**2 - 784*x - 768 = 0?\nAnswer: -16, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6*j = -2*j - 33, -5*k = -3*j - 19. Does 44 divide ((-4)\/(-5))\/((-2)\/k)*-198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -342, -117, 110, 339, 570, 803, 1038?\n\"Answer: l**2 + 222*l - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 l when four letters picked without replacement from {t: 2, m: 3, l: 3, g: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12be + 10?\nAnswer: 12ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 - 109. Let r(x) be the first derivative of -1\/4*x**6 + 1\/8*x**4 + 0*x + 1\/3*x**3 + d*x**2 - 2\/5*x**5 + 4. Determine u so that r(u) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152159 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64093, -63981, -63869, -63757?\n\"Answer: 112*d - 64205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13121 (base 4) to base 14\nAnswer: 25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159751.\nAnswer: 107, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 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: b\"What is the lth term of -152, -602, -1350, -2396?\n\"Answer: -149*l**2 - 3*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - i. Let v(a) = 3*a**2 + 4*a. Let b(t) = 4*u(t) + v(t). Suppose 98*o - 90*o + 16 = 0. Determine b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0 + 12. Let n(f) be the first derivative of 0*f + f**2 + 2\/3*f**d + 1. Factor n(z).\nAnswer: 2*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -219*q**2 - 1300*q - 19. Determine h(-6).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22555418 to the nearest integer?\nAnswer: 4749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*q = -12, -4*q = 74*n - 75*n + 14. Solve 0 = 10*p - 13*p + n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -257, -203, -149, -95?\n\"Answer: 54*q - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -5\/3 (c) -4\/27 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.31344 millilitres?\nAnswer: 0.03231344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(39*t + 43*t - 83*t)*(-2 - 1 + 0) as x*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**3 - 30690*n**2 - 47001600*n + 283115520 = 0.\nAnswer: -3072, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (48 - 48) - (2 + -111) - -8?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6533 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-75))\/((-8)\/(-12)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1555 - -1606. What is the fourth biggest value in z, 5\/2, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*z - 2*z**4 + 212*z + 301 + 4*z as i*z**4 + f*z + k*z**2 + t*z**3 + n and give n.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*q - 5 = 0, -v - 4*v + 21 = -2*q. Let u = v + -11. Let h(k) = k**2 + 5*k + 3. Calculate the smallest common multiple of h(u) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -27*g**2 + 5*g + 7. What is m(-3)?\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -3, 1\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6468 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36250289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Suppose x*p - 2*a - 35 = -0*p, -5*a = -5*p + 50. What is the remainder when 17 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12111876 divided by -189\nAnswer: 64084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -8, -6, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 721.2603ml in litres?\nAnswer: 0.7212603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 10*v + 1\/160*v**6 + 0*v**3 - 1\/16*v**4 - 1\/80*v**5 + 0 - v**2. Let r(c) be the first derivative of b(c). Factor r(i).\nAnswer: 3*i*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -30. Let d = y - 10. Is 18 + d\/((-2)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*y + 144 = -2, 2*y - 88 = -l. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (-1470)\/(83 - 13)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 8*t**2 + 2. Let y be o(-8). Suppose 2*h + 9 = -3*v, 7*v + 10 = -5*h + y*v. Let q = h + -3. Solve r = -q*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (1 - 4) + 5 + (102 - (110 + 5)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146177 to the power of 1\/2, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 21338797*v**2. Let f(l) = -l**2. Calculate f(y(s)).\nAnswer: -455344257407209*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/21*((-828)\/621)\/(20\/(-18)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - z**2 + z**2 + (10*z - 22*z - 10*z)*(946 - 1761 + 961 - 2*z) + (-2 + 1 + 2)*(-3*z**2 + 2*z**2 + 0*z**2) to n*z + w*z**2 + o and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -149 times 3.42\nAnswer: -509.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**13)\/g**(-4\/7) assuming g is positive.\nAnswer: g**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -562\/1785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26105.\nAnswer: 5, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 19*j**2 + 38*j - 5. Is 2 a factor of n(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7189807 to the nearest integer?\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 24*v + 3. Give s(-12).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1478142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302187119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 5*q + 16. Sort 3, -7, -5, q in decreasing order.\nAnswer: 3, q, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53238 divided by -3.\nAnswer: -17746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*n = 46, 4*z + 4*n = -z + 91. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 12*z + 3*q = 17, 0 = 5*z - 4*q - 29. Sort 58.2, -2\/7, z in descending order.\nAnswer: 58.2, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/(-3))\/((-4)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 6, -70, -216, -456, -814, -1314, -1980?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/81 and 0\/(-2) + (-6262)\/(-1860).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*b**2 + 3*b - 27*b**2 - 1 + 51*b**2)*(3*b - 14*b - 4*b) in the form f + g*b + m*b**3 + l*b**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 3. Let d be k(-9). Which is smaller: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.8851kg to grams.\nAnswer: 970885.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131401 - -4?\nAnswer: -131353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*x - 4, -3*q - 4*x - 10 = -16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2 - sqrt(102))\/sqrt(6))**2*-2.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/(-70))\/((-1125)\/1875)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 936 + 1403. Suppose 5*k - 1606 = d. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)\/(((b*b**(-4\/9))\/b)\/b)*b**14*((b*(b*b**6)\/b)\/b)\/b assuming b is positive.\nAnswer: b**(121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.8. What is the third biggest value in 4, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjaa. Give prob of sequence aa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 119.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 16*c**2 + 4*c + 8. Suppose k - 136 = v, 0 = -v - k - 3*k - 161. Let u = 137 + v. Does 31 divide j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13\/5, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/14 in -1\/2, -10\/4869, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108105125 by -21621025.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 7*k + 378 = 0. Let l = k + 92. Let h = l + -45. Solve -3*b + 4 = -2*b + 3*p, 9 = h*b + 4*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.002 - -0.002. Which is the second smallest value? (a) 2 (b) -2 (c) y (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*5*4\/(-4). Let r = 18\/13 + -121\/78. What is the nearest to 0 in -2\/9, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.8, 1\/2, 5, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 263, 266, 269, 272, 275?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t + 4. Suppose 30*a + 228 = 49*a. What is the first derivative of -5 - 13*o**t - 6*o**4 - a wrt o?\nAnswer: -76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349748 (base 15) in base 13?\nAnswer: 2b5a3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 145, 166, 219, 310, 445, 630, 871?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 157. Let r be w(17). Solve -a + g - 19 = r*a, 6 = -a - 2*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:27 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 5*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1766430651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.78595 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 4. Let q(l) = -l - 7. Give -5*a(m) - 3*q(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 + 50*c + 14. Calculate b(6).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.403235 + -6.4. What is y rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.695 + -0.995. Let f = -0.06 + 0.56. Sort q, f, -5 in ascending order.\nAnswer: -5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304 + -155. Calculate the remainder when v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3830 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/40827 and 83\/61876?\nAnswer: 81490692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 0.4. Let d = -0.1 + t. Let v = 455 - 456. What is the third biggest value in d, 3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 25, 40, 57, 76?\n\"Answer: v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i - 6*i - 216. What is the hundreds digit of (-498)\/(((-7)\/((-21)\/i))\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (33 - 1) + (1 - -2) + -74.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82119686 to the nearest integer?\nAnswer: 9062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -9 - 3. Let w be 15\/10*(-4)\/c. Solve -p - 2 = -w*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6500 + 6504. Let r(l) be the first derivative of 5\/2*l**2 - 10\/3*l**3 - 5\/4*l**o - 3 + 10*l. Factor r(m).\nAnswer: -5*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 0*l**3 + 0*l - 30 - 3\/4*l**4 + 14*l**2. Find the second derivative of v(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-10)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 381 = -5*i + 574, -3*i = -r - 563. Let b = -1869 - -1878. What is the remainder when i is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*t - 33, -5*t = 2*b - 64 - 54. Let s be (-1)\/7 - 42\/b. Let p = s - 3. Let y(h) = 6*h + 4. Let q(v) = -17*v - 11. Give p*q(r) - 11*y(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 124. Let b be c(28). Suppose 3*g + 132 = 5*r + 6*g, -g - 20 = -r. What is the highest common factor of r and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5057813*q**2 - 4036*q + 37 wrt q?\nAnswer: 10115626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - -1.97. Let a = -0.2 - -2.2. Let l = a - i. What is the nearest to l in -5, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + j. Let i = -2 - -2.2. Which is the nearest to i? (a) j (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 6. Suppose 5*m - 1 = -2*p, -4*p + 15 = -q*m - 0*m. Suppose -1 = 4*y - 17, p*y = s + 12. Solve -5*o = -s*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12280978 - 0.1228. Round s to 7 decimal places.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161566944 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548 + -552. Let p(m) = -2*m - 6. Let i be p(l). Sort -5, 4, i, 86 in decreasing order.\nAnswer: 86, 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-528)\/(-308))\/(4\/(-14))*((-1600)\/3216)\/50?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-12) + ((-2233)\/(-174))\/(-11).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10017.3316 rounded to 0 decimal places?\nAnswer: 10017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3604+24231317018\nAnswer: 24231313414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13625, -54571, -122821, -218381, -341257, -491455, -668981?\n\"Answer: -p**3 - 13646*p**2 - p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (50\/20)\/((-1)\/(-2)). Suppose -4*i + 4*m = -2*i - 24, b*i - 12 = -2*m. Suppose 33 = 4*o + 9. Solve 5*q - 5*p + 8 + 37 = 0, i*p = -2*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111363620 (base 7) to base 2\nAnswer: 11001110101010110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68) - 2*sqrt(68)*6) - (-3 + (2*sqrt(68))**2)*2.\nAnswer: -540 - 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 0.027 (c) 1\/17 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (2 + -51)\/((-4)\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55 and -13023163355718.\nAnswer: -13023163355663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*d**2*l**2 + 3*b*d**2 + 3*b*d*l + 33*b*d - 5*b*l**2 - 73*d**2*l**2 wrt d.\nAnswer: 4*b*l**2 + 6*b - 146*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 + 6*h**2 + 9*h + 118. Calculate n(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2908644 divided by 727161\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702903 is divided by 15975?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.8 times 8160?\nAnswer: -2275008","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 9:25 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 881107 rounded to the nearest ten thousand?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (-66)\/6 + 8. List the prime factors of (-6153)\/p - 19\/(-57).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 103*n**2 + 96*n + 770. Give l(104).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272.9 - 309. Let g = l + 36. Which is the third smallest value? (a) g (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -30*w**4 + 2211*w**3 - 32934*w**2 - 298080*w - 86400 = 0?\nAnswer: -6, -3\/10, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + t = 2*t - 20, -5*t + 20 = -q. Let k be q*((-46)\/(-10) - 1). Suppose 2*r = -r + 270. Calculate the greatest common divisor of k and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 121 = -2*x + 4*j, -2*x - 4*j = 16. Let v(p) = -p**3 - 6*p**2 - 3*p + 2. Calculate v(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 239*h**2 + 7*h + 8. Let t be r(-6). Suppose 6*l - l = t. Suppose 4*k = 5*s + l + 2721, k + 3*s - 1130 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63842.9 + 63843. Let y = -0.12 + -4.88. What is the third smallest value in w, 3\/2, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607613859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*j - 6 + 6. Suppose j = -11*t - 3*t + 1890. What is the highest common divisor of t and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127109 - -2427273465\/19096. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369 + 663 - 294 - 3069*s**3.\nAnswer: -3069*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -410 - -1?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 216*w - 216*w + 4. What is d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 30*o - 18 + 16)*(-o + 0*o - o)*(o**3 - 3*o**3 + o**3).\nAnswer: -50*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -24.9. What is the second biggest value in -2\/7, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + 5*y - y)*(-11*y - 29*y - 32*y + 2*y) to l*y + o + w*y**2 and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 193*l**3 + 2*l - 385*l**3 - 5*l**2 + 189*l**3. Let z(b) = 2*b + 3*b**3 - 6*b**2 + 0*b**2 - 6*b**3. Calculate -4*k(v) + 3*z(v).\nAnswer: 3*v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -299.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 46*s. Let v(o) = 6*o. Give v(f(l)).\nAnswer: 276*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172446*f**2 + 431*f + 68 wrt f.\nAnswer: 344892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -32, -71, -116, -161?\n\"Answer: o**3 - 12*o**2 + 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(24\/11)*n**(-17))\/(n*n**27)**(-24) assuming n is positive.\nAnswer: n**(7240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3\/3 + 2*t**2\/3 - 64*t\/3 + 160\/3 = 0.\nAnswer: -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1532648777 and -0.33?\nAnswer: 1532648776.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 45. What is the smallest value in 2, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459797, 459801, 459809, 459821, 459837, 459857?\nAnswer: 459881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8*g. Let b be (g*(-1 + 4 - 2))\/(-2). Let f(q) = -3*q + 5 + b*q - 5. Let o(p) = 12*p. Determine f(o(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*l = 19, -3*t - 4 = 5*l + 1. Let u(x) = -x - 3. Let y be u(t). Solve 4 = -2*s + g, -y*s = s - 3*g + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0 + 0)*(-2*m + 0*m + m) - 31*m**4 + 39*m**4 - 27*m**4 + (6 - 6 + 2*m**3)*(1 - 1 - 2*m) - m**4 + 2*m**4 + 4*m**4.\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 630, 0.1, -3\/7, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292 by 466.\nAnswer: -646\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40389 + 40389 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwtttaaaewwoaw. What is prob of sequence wwwe?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*z**2 + 99*z**2 - 232*z**2)*(2*z + 2*z - 6*z).\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670815111 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -739*h**4 + 19230*h - 1155533235 wrt h?\nAnswer: -2956*h**3 + 19230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1137 + -64112?\nAnswer: -65249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + l**2 + 2. Let t be c(2). Let f = -2 + t. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + 220 = -214 + 114 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 13) to base 6.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 4*r - 103. What is the second biggest value in 7, r, -12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - p - 336402 = -336546 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.33, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 502*d**6 + 2*d**3 + 12*d**2 - 12*d wrt d.\nAnswer: 60240*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*q - 31, -9*y - 10*q = -9*q - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 100*x**2 - 335*x + 182. Determine w(28).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/10 + 5*h**4\/6 + 23*h**2 - 58*h. Find the first derivative of q(p) wrt p.\nAnswer: 6*p**2 + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*s - 46 - 179 + 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -638.3 + 638. Let a = -0.2 - -0.3. What is the nearest to -0.2 in m, a, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1300993*t**3 - 2*t - 229093?\nAnswer: -7805958*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8 = 3*c, 11*a = 16*a - 4*c - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/12 - 5*d**3\/3 - 3*d**2\/2 + 36571*d. Let o be (-4 - -2 - -10) + 1. Calculate h(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 70. Let t = 93 - o. What is t rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170447530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvvvkvvkkkkkkk. Give prob of sequence kvk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + -57 + 59 + (-13 - (3 - 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245031148?\nAnswer: 2, 1559, 39293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097878635 rounded to five decimal places?\nAnswer: -0.00979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**29)**(-32)\/(f**(-3)\/f**(2\/5))**(-26\/5) assuming f is positive.\nAnswer: f**(43306\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71531\/51770 - 9\/1670. Find the common denominator of -27 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 489 = -1839. Let i be r\/24 + (-2)\/8. Suppose 4*q - 61 = -3*t + i, 4*t + 3*q - 149 = 0. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 896*y + 4011. What is f(-4)?\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Suppose 0 = 5*s + 2*y - 4, 5*y + 13 = 3*s - 4*s. Solve s*k + 4 = -o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*x = -0*d + 35, -3*d - 3*x + 30 = 0. Sort 1, 0, -3, d in descending order.\nAnswer: d, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*y + 4 = y, -5*y + 10 = 5*n. Let h = 13.8 + -14. What is the smallest value in 0.1, n, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7 + 2*g**3 - g**2 + 0*g**2 + 4*g**2 + 5 + 6*g. Let m(n) = 6 + n**3 + 0*n**3 + 5*n + 4*n**2 - 2*n**2 - 8. What is -2*f(k) + 3*m(k)?\nAnswer: -k**3 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g - 9*g**2 + 3 + 6*g**2 + g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*g + 3135 = 1133 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {k: 3, q: 4, b: 8, o: 2}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -3004.48371029 and 0.1.\nAnswer: -3004.38371029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**2 - 102*r**2 + 2799*r - 1404*r - 1395*r.\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 317944*g**3 + 12*g**2 - 26*g**2.\nAnswer: -317944*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -1 in decreasing order.\nAnswer: -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -7, -22, -53, -106, -187, -302?\n\"Answer: -s**3 + s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (61601\/229 + -256)*66\/91?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9730826ms in seconds?\nAnswer: 0.0009730826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(21\/(-35)*-5)*-2. Suppose 3*h - 4*h = -29. Suppose 0 = b*s - h + 11. What is the smallest common multiple of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x**5\/4 + 87*x**4\/4 + 141*x**3\/4 - 171*x**2\/4 - 48*x - 3 = 0 for x.\nAnswer: -1, -1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(209) + 1*sqrt(209)*1)\/(-5*(5*sqrt(11)*-2 + 1*((sqrt(22)\/sqrt(2) - sqrt(11)) + sqrt(11)))).\nAnswer: 2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, -12*i - 57 = -4*r + 7. Solve 10*k = r*k - 108 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d**2 - 8*d + 44. Let n be v(9). Let l = -354 + n. What is the closest to -1 in 1\/9, l, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15025859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 808859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1522112.14 to the nearest one thousand.\nAnswer: -1522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158146026 to the nearest integer?\nAnswer: 12576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - -51*(6 - -10).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1108425 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaw when three letters picked without replacement from jwwjagj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/4, -1, 3, -1\/4 in ascending order.\nAnswer: -1, -1\/4, 3, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - 12 - -9 - (8 + 2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -43. Let i(n) be the first derivative of 56*n**3\/3 - n**2 + n + 2. What is the remainder when i(1) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -1297*l + 1292*l, 2*m + l = 36229. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 13 + 12*c - 11 + 12. Let t be a(-9). Suppose 0 = -y - 12. Do t and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (1\/1)\/2*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3 - 7 + 8*o + 3. What is the remainder when 19 is divided by p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 2*d**2 - d. Let g(r) = r**3 - 3*r**2 + 4*r - 5. Let v be g(2). Give w(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 7, f: 3, k: 5, n: 2}. What is prob of sequence fq?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + 38 + -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:21 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*z = 8, 0 = -4*t + 2*z + 2*z + 12. Suppose 0 = -t*r - p + 2*p + 464, -3*p - 1161 = -5*r. Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**2 - 2*f + 24. Let b(j) = -4*j**2 - j + 8. What is 8*b(w) - 3*i(w)?\nAnswer: w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4101, 0.5, 0.3, -483?\nAnswer: 4101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16447 by -5.\nAnswer: 16447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 325 = -41*m. Solve m + 20 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3421*w**2 - 77*w. Let k(x) = 90*x**2 + 2*x. Give -2*g(s) - 77*k(s).\nAnswer: -88*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -5*l - 3*c + 40, 3*c = -12. Calculate the greatest common divisor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 1. Let u = 0.61 - 0.14. Let i = u - 0.49. Is i bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338189348 - -0.05.\nAnswer: -338189347.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 62 = -647. Suppose 4*b - 195 = 117. Calculate the greatest common divisor of q and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.792533 and 0.049.\nAnswer: 3.841533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -15*z - 2*b + 10, -2*b = -5*z + 10. Let j = 3 + 0. Suppose 2*v = 7*v. Solve v = j*m + z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904400351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/395 in -2, 2, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 36*s - 77*s + 137824. Calculate the smallest common multiple of 1180 and s.\nAnswer: 9440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 + 474*p - 18723 = 0. What is p?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4477, 9178, 14109, 19270, 24661?\nAnswer: 30282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*k = -21, -3*m - 3*k + 6*k = -21. Solve -2*h - 2*z = 0, -m*h - z + 20 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.043 (c) -36 (d) -3 (e) 321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) 9\/7 (c) -2\/5 (d) -2\/3755 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 24 = -5*t, -2*r + 3*t + 8 = -0*r. Let p = -1 + 1. Suppose 3 = h - p. What is the smallest common multiple of r and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/5292 and 71\/2085048.\nAnswer: 2085048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391 is divided by 2116.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 6. Let p(j) = -j - 5. Let l be p(-8). Suppose 24 = l*m + m. Solve k*h + m = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63088810651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*j**2\/15 + 80*j + 40\/3.\nAnswer: 2*(j + 10)*(59*j + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*u - 55 + 83, -n - 16 = -2*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x**3 + 6*x**2 + x + 899. Let h(t) = 196*t**3 + 40*t**2 + 6*t + 6290. Let l(m) = -20*b(m) + 3*h(m). What is the first derivative of l(n) wrt n?\nAnswer: 84*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 4964238?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14837620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 214 - 154. Let w be n\/(-18)*6\/(-5). Solve 0 = 23*p - 25*p + w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 divided by 1125?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 3*y)*(3*y - 5*y + 0*y)*(0 - 7 - 2*y + 5).\nAnswer: 4*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*p - 24*p + 19*p + 17*p.\nAnswer: 106*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Which is smaller: q or 8\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 = t + 4, -2 = -4*h + 5*t. Suppose h*n + 4*j = 14, 4*n + 5*j - 30 = -n. Suppose n - 4 = 3*q. Solve -m - 29 = 4*m + u, q*m = -2*u - 18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q + 4. Let t be g(3). Suppose 4 = -r + t. Suppose 6*k = -5*v + 3*k + 34, 0 = -3*v - 3*k + 18. What is the remainder when v is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 greater than or equal to 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from sssssssssssdsdssssss?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 30*h**2 + 32*h - 75. Let n be a(29). Solve -7*o = -5*o - n for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = -425000. Let p be (1*q)\/((-3)\/300). Round p to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 20*s = 124. Let o be s + 36 - 2\/1*-2. Put -6, o, -1 in increasing order.\nAnswer: -6, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:30 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -18566457070.\nAnswer: -18566457075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 269, 537, 805?\n\"Answer: 268*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2*17\/(3213\/(-252)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:22 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p - 1786*p - 769*p - 61848 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:19 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203.7702 + -174792?\nAnswer: -171588.2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224 + 3\/6*(4 - 4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -63. Let b = -34 + 22. Let k = b - h. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 65 = -4*h, -v = -5*h - 30 + 100. Let b be 4 + (-24)\/4 + -70. Does 55 divide h*(98\/18 - 16\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 12945.92.\nAnswer: -323648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + -20102022?\nAnswer: -20110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aag when three letters picked without replacement from {g: 2, v: 3, a: 4, k: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8631 a factor of 16804557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -99, -143, -187, -231, -275?\n\"Answer: -44*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 185323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4550 and 55?\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 190*n**2 + 5998*n - 96. Give k(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3718573?\nAnswer: 3718573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i + 31. Let c(d) = 16*d - 30. Let f(o) = -5*a(o) - 6*c(o). List the prime factors of f(-15).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 25 = -7*y. Let f be 22 + -22 + 3\/y. Let x = -0.1 - -0.2. Which is the closest to x? (a) -5 (b) -1\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27 and 0.0672338.\nAnswer: 27.0672338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36715357.\nAnswer: 7, 191, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 7239 = -1587*o + 36*o + 75684 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 22.7191 to 1 decimal place.\nAnswer: 22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68361 and -1.\nAnswer: -68362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56974 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**3 + c**2 + 206*c + 12099. Let j(f) = 4*f**3 + f**2 + 102*f + 6049. Let y(z) = -5*j(z) + 3*o(z). What is the derivative of y(x) wrt x?\nAnswer: 21*x**2 - 4*x + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4.64, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529947255 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -1. Let j(d) be the first derivative of -d**2\/2 + 104. Let q(y) = 4*y. Calculate z*j(h) - 3*q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 3 (c) -2 (d) 21 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 51.8. Let w = i - 15.9. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 173 = z - 0*x, -5*x + 523 = 3*z. What is the remainder when z is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19145.\nAnswer: 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 - 2. Let t be 8\/(32\/(-12)) - (1054 - v). Let z = t - 742. Round z to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 - 1.1.\nAnswer: -89.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**6 + 3794*z**4 - 3*z**2 + z + 140.\nAnswer: 120*z**3 + 91056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 675105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 38*j - 4861. Calculate n(142).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = k. Suppose 2*g - 4*j = 50, 3*g - 83 = 3*j + k. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 29. Let r = 159\/310 - 2\/155. Which is the closest to i? (a) -2 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/31))\/p*p*p**(3\/2))**(9\/2))**(14\/13) assuming p is positive.\nAnswer: p**(10017\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/7*(-28)\/(-21). Which is the closest to 2? (a) k (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 24. Solve -2 = -4*h + 2*v + 6, -3*v = n*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 14 = 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/7))\/(u**(-4)*u)*u**(-1\/9)\/(u\/((u\/((u*u**2)\/u))\/u))*u**(1\/2)\/u**(8\/7)*(u\/u**(-1))\/u*u\/u**(-1) assuming u is positive.\nAnswer: u**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111211 divided by -76?\nAnswer: -111211\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3326459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/7)\/h)\/h)**(31\/4)\/(h**(-3\/16)*((h*h\/(h\/((h**29*h)\/h)))\/h)\/h) assuming h is positive.\nAnswer: h**(-5347\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. What is g(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 49. Let p = h + -10. Let f = p - 119\/3. Which is the nearest to 1? (a) 5 (b) -2\/15 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*z + 18 = -3, 3*z = -6. Suppose -g*s = 4*c - 0*s - 3, -2*c + 5 = 5*s. Solve 2*k - 5 = v - c, -3*v = 5*k - 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06547 + -17.93453. What is the second smallest value in j, 0.003, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 1:45 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 5}. What is prob of picking 2 p?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - ((-9)\/(-8) - -1))\/((-37536)\/(-13056)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 329569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 60241?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, t: 2}. What is prob of sequence uutt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67958.\nAnswer: 2, 11, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1044147793 - 1044147793 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9950702291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2+-38954446\nAnswer: -38954444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*t - r, 0 = 2*t + 4*r - 1289 + 1293 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w**(-3\/10))**(-38) assuming w is positive.\nAnswer: w**(-1387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p**3 - 13*p**2 + 6*p**2 + 2*p**2 + 5*p**2.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2500 + 2175*n**2 - 6750*n + 15\/2*n**4 - 445\/2*n**3 = 0.\nAnswer: -1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 + 2*b**4 - 14*b**4)*(-3 - 234*b + 395*b - 204*b).\nAnswer: 344*b**5 + 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/44 or 2?\nAnswer: 27\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 60. Calculate z(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179\/22, -1, 159 in decreasing order.\nAnswer: 159, 179\/22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6848, -27422, -61694, -109664, -171332?\n\"Answer: -6849*a**2 - 27*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -598, -2150, -5226, -10348, -18038, -28818?\nAnswer: -43210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 976878 and 976878.\nAnswer: 976878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 2. Let z be (10 + 2)*o\/3. What is the third derivative of 2*a**2 + 2*a**z - 3*a**2 - a**2 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1 (c) 102 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**8\/240 + u**7\/70 - u**6\/90 - 8*u**3\/3 + 17. Let z(b) be the third derivative of q(b). Suppose z(g) = 0. Calculate g.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*p + 13, -111*p + 110*p + 5*f + 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 2)*(14*w + 99 - 99).\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h - 859*h - 32400 = 0 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*g + 3*g. Suppose -4*d - 3*s + 60 = g, d = 5*s - 0*s + 15. Suppose 0 = -3*c + d*c + 23640. What is c rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 112*z**2 - 110*z + 768. Let f be w(-113). What is the greatest common divisor of f and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1032 + -240?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 6:13 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3560 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 42*n**2 - 285*n = 0. What is n?\nAnswer: -5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 6 - 20. Let c(y) = -y**3 - y - 1. Calculate the smallest common multiple of c(-1) and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-1*-23*(-109)\/(-2507).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -100*j**2 + 21*j - 146. Let p be x(6). Is -3620 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -113.797. Let y = s + -0.097. What is the biggest value in y, -0.1, -10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*w**4 + 5*m**2*w + 11*m**2 + 227236*m*w**4 + 17*m*w**2 + 6*m*w + 8*w**2 wrt w.\nAnswer: 48*m**2*w + 5453664*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -14 - (-1 - (2 + 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -0.98. Let t = -0.02 + a. What is the third biggest value in -1\/4, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuj when three letters picked without replacement from {i: 6, c: 2, d: 2, u: 4, q: 1, j: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.78 - -72.78. Let x = -66.9 + b. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -861\/296411 or 1?\nAnswer: -861\/296411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (9 - 5) - 3 - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 149 + 291 - 146 = 4*s, 0 = -4*z + s - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -391858.\nAnswer: -391858.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53684 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - h**2 - 2*h - 1. Let a be -2 - (-1)\/2*2. Let b be o(a). Solve 3*x + 2*x + 4 = -b*g, 4*g = -x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + 3. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487.602 to the nearest integer.\nAnswer: -2488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9341144 or -233528582\/25?\nAnswer: -233528582\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - ((sqrt(34)\/sqrt(2) - sqrt(17)) + -3))*5 + (sqrt(17) + 0)*-5 + (0 + sqrt(17) + sqrt(17))*-6)**2.\nAnswer: -360*sqrt(17) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/27 - -71\/135. Which is the second biggest value? (a) 1\/3 (b) -6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5*d**3 + 2 + (-7*d**3 + 2*d**3 + 4*d**3 + (-10*d**2 + 18*d**2 - 2*d**2)*(-21*d + 14*d - 25*d))*(-1 - 2 + 4).\nAnswer: -198*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 28 - 7. Let p(y) be the second derivative of 0 + 0*y**4 - y**2 - 1\/10*y**5 + 0*y**j - 4*y. Differentiate p(d) wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 4*w = 150. What is the remainder when 51 is divided by (115\/w - 7)\/((-2)\/5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260267, -260266, -260265, -260264, -260263?\nAnswer: -260262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*d - 65111 = n, 2*n + 4*d = -32548. Is (18\/(-9) - n)*1\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(99) + -2*sqrt(99)*1)\/sqrt(9))**2 + -2*sqrt(396)*-6)*4.\nAnswer: -1440*sqrt(11) - 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100303412 and 418.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100120021 (base 3) to base 5.\nAnswer: -4103042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 45615*r**3 - 3845772*r**2 - 107813328*r - 1006872384.\nAnswer: 3*(r - 15289)*(r + 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 65 = 4*y, -5*o - 14 = y - 54. Let n be y\/189 + 1\/7. Let l = -0.2 + -0.8. What is the nearest to l in 0.5, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35562978 is divided by 7114.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47643\/234195850 - -2\/33775. Let t = 81470\/31203 - q. Find the common denominator of 45\/14 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 4.96. Let x = -1907.9 + 1908. Which is the closest to -1? (a) -0.1 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 12db517?\nAnswer: 12db512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8963 + -8957. Let k(a) = -a + 11. What is k(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14 + -2 + 5\/1. Let g be -3 - (y + 0 + 3). Let i(d) be the first derivative of -d**3\/3 + 2*d**2 - 3*d - 2. Calculate i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspqppzsspsm. What is prob of picking 1 m and 1 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/15 + -7870*4\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from {q: 6, i: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*l + 2*i, 4*l + 3*i + 33 = -23. Let d = -11 - l. Suppose 0 = -d*k - k + 3*w + 19, -w + 77 = 3*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204749028 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 + 12 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/6)\/((-6)\/(-9)). Let r(w) = 4 + 3*w**2 - 2 + 0 + 6*w - d*w**2. Calculate r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70410, 70409, 70408, 70407, 70406, 70405?\nAnswer: 70404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -684 = 3*w + 4*d, 0 = -w - 5*d - 5 - 234. Let r = w - -462. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 3*x + 3. Let l be o(2). Does l = 2\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -17, 14, -363 in descending order.\nAnswer: 14, -1, -6, -17, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 6*h - 2. Suppose -3*m + 0*b + 2*b = -28, m - b - 10 = 0. Let t be (-36)\/m*(-8)\/(-6). What is s(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l - 754 + 562 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19169.478 milliseconds?\nAnswer: 0.005324855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 44 = 62570*v - 62566*v, 0 = 5*x - 11*v + 112 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - w)*(15*w - 5*w - 1 + 2*w).\nAnswer: 24*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -706.009082 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/(-80)*104\/182. What is the third smallest value in a, -40, 0, -72?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 4, t: 1}. What is prob of sequence nnt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3166350 and 3800.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 6*c - 36, -61*c + 13 = -60*c - 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/40 + r**5\/20 + 5*r**4\/24 - 7*r**3\/6 - 38*r**2. Let x(b) = 3*b**3 - 4*b**2 - 6*b + 8. What is -6*t(w) - 5*x(w)?\nAnswer: 3*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 50 + (-8)\/(-4) + (-1 - 9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 167154?\nAnswer: 334308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 - (-1 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -629, -1199, -1781, -2381, -3005, -3659, -4349?\n\"Answer: -c**3 - 563*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 118*y**2. Let s(u) = -80079 + 80079 + 10*u**2. Give g(s(n)).\nAnswer: 11800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 45 = 2*o. Let t(s) = 2*s**2 + 7*s. Let j(h) = -h + 7. Let l be j(5). Suppose l*k + 12 = -0*k. Let b(i) = 2*i**2 + 6*i. Determine k*b(y) + o*t(y).\nAnswer: -2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d\/(d**(-6\/17)\/d))\/d)*d*d*d**(-1\/39)*d\/(d*d**(-4\/7)\/d)*d*d**(-23) assuming d is positive.\nAnswer: d**(-87284\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let v = -11 + 14. What is the biggest value in -3, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/70*((-396)\/45 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:51 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 17*x**2\/2 + 134*x + 28. Let k be f(10). What is the highest common factor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 2*f, -5*f + 8 = d - 9*f. Suppose d = 5*v - 9*v + 32. Solve v*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, 227, 375, 545, 737?\n\"Answer: 11*s**2 + 93*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 - 733*l**2 + 134463*l - 133731 = 0 for l.\nAnswer: 1, 351, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20*q + 83. Let u be v(-4). Suppose -2*m + 10 - 2 = 0. Suppose 0 = u*c - t - 27, c - 3*t + 3 = m. Calculate the remainder when 36 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/7921726 and 149\/6?\nAnswer: 23765178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644 a factor of 860075192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -48. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:47 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.08 + -0.08. Suppose -r - 2*r + 12 = 0. Let d = 52 - 56. Put c, r, d in decreasing order.\nAnswer: r, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at least as big as -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let s(b) = -3*b. Let p(x) = x. Let c(a) = 6*p(a) + 3*s(a). Let n(r) = -r. Let o(t) = -c(t) - 18*n(t). What is o(u(q))?\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -502605.847?\nAnswer: -502605.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 + 2041*x**4 - 37*x**3 - 3*x**2 + 178*x - 3001 wrt x.\nAnswer: 240*x**3 + 48984*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 31 + 33 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/6)\/((-7)\/(-21)). Solve 4*p + 17 = -3*m - p, 0 = u*m - 3*p - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7578485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28064676 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -11, -51, -127, -251, -435, -691?\n\"Answer: -2*o**3 - 2*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 8\/6)*-24. Let y be (0 + -1)\/(2\/t). Solve 3*j + 16 = b, b + 2*b = j + y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 603*n - 628*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)*1)\/sqrt(2))**2*5 - ((sqrt(20) + sqrt(80))\/sqrt(10) + 1 + sqrt(4)\/sqrt(2) + 1).\nAnswer: -4*sqrt(2) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + n + 19 = 6*c, 3*c - 3*n - 21 = 0. Let s(r) = r - 2. Let h be s(6). Suppose 3*q + h*a - 2*a - 87 = 0, -93 = -c*q - 4*a. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 2*i. Let n(o) = 69*o**4 - 3*o**3 - 2*o**2 + 7*o. Let u(k) = 3*j(k) + n(k). What is the third derivative of u(a) wrt a?\nAnswer: 1656*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 15 - 3 + 13*v)*(-149*v + 9*v - 84*v) as a*v + x + s*v**2 and give s.\nAnswer: -2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 + 3*o**2 + 121 + 3*o**3 - 2*o in the form z*o + i*o**2 + n*o**3 + j and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:52 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.3 - 5. Let q = -1\/1920 - -481\/1920. Which is the third biggest value? (a) o (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036772 to 5 dps.\nAnswer: -0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2461*f**4 + 2466*f**4 - 2*f - f + 41*f**3 + 3*f**3 + 23*f**3 as w*f**2 + b*f + z*f**3 + v*f**4 + p and give z.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 144\/1 - (-2 + -1 + 2). Let v = s - 82. Is v not equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from {s: 3, m: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + 1.2. Let p = 0 + j. Let s be ((-2)\/(-5))\/(9\/15). Which is the biggest value? (a) 0.5 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10.3. Let h = k + -0.3. Which is the nearest to h? (a) -4 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/(-3*4\/90).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 244926*m + 0 - 237414*m + 0 in the form n*m + b and give n.\nAnswer: 7512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -21*t - 311. Determine q(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -23*m + 78*m - 28*m + 5 + 9 - 32*m. Determine x(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. What is the nearest to 1\/6 in -3\/4, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-70 - 5 - -127).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6456368 centimeters to micrometers.\nAnswer: 6456.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -225480370 rounded to the nearest 100000?\nAnswer: -225500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 660.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -9. Let d(c) be the second derivative of c**4\/12 - 2*c**3\/3 - 13*c**2\/2 - c - 54. What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*-1*-93. Let x = d - 9. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -2 - 2\/1. Let k be (0\/1)\/(f + -3). Suppose 0 = -k*a - a + 3*u + 9, 0 = -3*a + 2*u + 41. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 + 10.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9*(27\/(-108))\/(6\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*d = -6638, 4*d + 2201 = j - 0*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:44 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 14. Suppose -v + 4*v - j = 0. What is the third derivative of 2*f**4 - 19*f**v + 10*f**2 + 11*f**2 wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78c73 (base 15) to base 14.\nAnswer: -a0019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 26*w**2 - w + 19. What is the hundreds digit of h(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*u - 2029 = 2635 - 1262 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*-6*50\/120.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503512 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 + 6*g**2 - 3 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23771 - -132889. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 6. Let k be n(-9). Suppose 4*a - 1 = k. Is 2\/7 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 480 + -225. Is 35 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161 plus -0.005?\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237598 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476*i**2 - 139443*i**3 + 1570*i**2 - 4413*i + 139440*i**3 wrt i.\nAnswer: -18*i + 2188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 12012408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41210505 - 105?\nAnswer: 41210400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) + 0 + sqrt(2))**2*1 + 1 + (-2*sqrt(250))\/sqrt(5).\nAnswer: -9*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1486\/9383 + 20\/853. What is the third biggest value in -3, 281, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.5. Let s = -0.6 - -0.9. Sort l, s, 0.4 in increasing order.\nAnswer: l, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 486*k**2 + 26751*k + 26264.\nAnswer: -(k - 536)*(k + 1)*(k + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*o + 54 = -120*o. Solve 2*p + 5 = o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/31))**(-27) assuming u is positive.\nAnswer: u**(27\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 103.131. Let z = 0.207 - g. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) -0.06 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*a + s, -2*a + 2*s - 18 = s. Suppose -f - 10 = 3*w, -3*f + 1 + 25 = -5*w. Let z = f - a. What is the highest common factor of 52 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 4*y - 1. Let z be n(-3). Suppose 3*d = z*d - 64. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.5 and -1252.\nAnswer: -24414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d + 85*d + 3*p - 12 = 0, 4*d - 2*p = -8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5 + 13. Let r be 0 + (0 - g) + -18. Is 956 + (-2 - r)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3181.38+33.3\nAnswer: 3214.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100002013 (base 5) to base 12.\nAnswer: 16a257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b43 - -3125?\nAnswer: 16068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -111 - 33. What is the greatest common divisor of o and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 21*l**3 - 11*l**2 + 6*l - 16. Suppose 0*f - 2*b + 14 = 2*f, -5*f - 4*b = -39. Let y(j) = 3 - 4*j**3 + 2*j**2 + 2*j - 3*j + 0*j. Give f*y(s) + 2*x(s).\nAnswer: -2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 477, 14, 8, 4, -4, -2, 1 in ascending order.\nAnswer: -4, -2, 1, 4, 8, 14, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 72*p = 76*p - 18, -u + p = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1191, 1191, 1193, 1197, 1203?\n\"Answer: b**2 - 3*b + 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 111*u + 3504. What is g(-32)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 24*v - 83. Let m be b(-15). Let w(x) = -19*x**3 + 5*x**2. Let u(s) = -29*s**3 + 7*s**2. Calculate m*w(p) - 5*u(p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + n - n**3 + n + 3*n**3)*(2*n**2 + n**2 - 6*n**2).\nAnswer: -6*n**5 + 15*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 1\/5, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253661 is divided by 126206?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(7)*-1)**2 + sqrt(20)\/(1*sqrt(160) - sqrt(10)).\nAnswer: sqrt(2)\/3 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3*l**5\/10 - 2*l**2 + 8*l. Differentiate g(r) wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 20*r + 46. Let w be s(-5). Let d be (-890)\/(-3) + (-18)\/w. Calculate the greatest common factor of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, 114000, -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 44 = -2*y, 3*a + 42 = 5*y - 40. Let u = 11 + 0. Is y > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-39 - -11) - (1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1803 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951869223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152908651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 52222*m - 2. Let b be k(-9). What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 2}. Give prob of picking 1 h and 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Find the third derivative of -4*q**o + 2 - 3*q**2 + 2 - 4 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)\/q)\/q**(1\/3)*(q**(1\/6)*q)**(41\/5) assuming q is positive.\nAnswer: q**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:29 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + 13 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 8250 = 26674. Suppose -8*t = -15*t + x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 270*b - 286. What is the thousands digit of l(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005435 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((5\/(-225))\/((2\/4)\/((-21)\/(-42)))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -462, 573, -9.\nAnswer: -462, -9, -5, 1, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + u**3 - 3*u**4 - u**3 + (8*u**3 + 3*u**3 - 7*u**3)*(9 + 19 - 24 + 5*u) as q*u**4 + c + y*u**2 + i*u + d*u**3 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -31*f**2 - 78*f + 41. Let d(r) = -17*r**2 - 39*r + 23. Give 6*b(n) - 11*d(n).\nAnswer: n**2 - 39*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-63)*3)\/((-8)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*c**3 - 20*c**3 + 121*c**3 + 1080*c**3 + 494*c**3.\nAnswer: 2503*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.692 * 4387\nAnswer: 3035.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**3 - 13*g**3 + 1 - 18*g**4 + 8*g**2 - 2*g + 4*g**3 - 34*g**4 + 40*g**4 in the form b*g**2 + a + j*g**3 + h*g**4 + d*g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396763\/60 + -6613. Let f = 8\/15 + h. What is the nearest to f in -3, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3197732 divided by -23.\nAnswer: -3197732\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 122886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 1520?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97525 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1051, 7642, 25537, 60388, 117847, 203566, 323197?\nAnswer: 482392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:11 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 65, 69, 63, 41?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*d + 292*d + 396 = 584*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m. Let r(b) = 8*b**2 - 1. Let t(s) = -2*h(s) + 2*r(s). What are the prime factors of t(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(11\/(-8))*37\/(-148).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15 = 2*h - 1, -4*h = 4*u - 24. Suppose 5 = 3*f + u*f. Solve -f = -n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 (base 9) in base 2?\nAnswer: -100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 12\/20)*-5. Suppose 982 = 1346*x - 1710. Factor 0 - 2*p**x + a*p**4 - 1\/2*p**3 + 1\/2*p.\nAnswer: p*(p - 1)*(p + 1)*(4*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -439*f + 17540 - 38612 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 7*m - 3 + 42, 5*x + m + 5 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {v: 2, j: 1, x: 4, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 3:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjlx when four letters picked without replacement from {j: 3, x: 12, l: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyln when four letters picked without replacement from lllxylnxxxxlkx?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165416396?\nAnswer: 2, 41354099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 26.3. Let y = 2.66 + s. What is the third smallest value in 3\/4, -2\/7, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 - p - 1. Calculate l(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4187, -4198, -4209, -4220?\nAnswer: -4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95634691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from xppxpxxx?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*h - 0*h - 24, 4*h + 18 = o. Suppose 5*t + 3*c = -24, -3*c = 2*t - o + 8. Let v be ((-10)\/t + -1)\/(30\/90). Solve -5 + 1 = v*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 7 = 255*g - 256*g, 0 = -j - g + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*y**2 - 1882962*y - 3765984 = 0. Calculate y.\nAnswer: -2, 627664\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -26*t - 8. Let a be p(-3). Suppose -5*i + a = 5*g, g = -0*i + i - 12. Is i at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 20*z + 8 = 0, -2 = -4*i + 3*z. What is the nearest to -2 in i, 3, -4, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*p - 3*p. Let y = -40 - p. Let a = y + 24. Solve -a*l + 8 + 3 = -c, -4*l + 2*c + 12 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -5 (c) -87974\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.318, -2\/17, -4\/5, -2\/7, -1 in decreasing order.\nAnswer: -2\/17, -2\/7, -4\/5, -1, -10.318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*g + 20 = g, 0 = -t + 5*g + 25. Let r be (t - -10*10)*1. Suppose -w - 24 = -r. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.035 - -0.086. What is s rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33855*c**4 - 13047*c**2.\nAnswer: 812520*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 13, k: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 14 in increasing order.\nAnswer: 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 593\/2408 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 450*x**2 - 816*x**2 + 743*x**2. Let g(u) = 2*u**2. Calculate g(m(y)).\nAnswer: 284258*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1644*y + 208786. Give p(-127).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/611 + -9\/47. Let d = 555616\/4165 - 1\/833. Let p = -133 + d. Sort p, 2, z in decreasing order.\nAnswer: 2, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51436 smaller than 5828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6134987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2*(-615)\/(-164)*4\/6. Solve 3*q = -r*x + 30, x - 7*q + 3*q = 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 11. Let v be w(-8). Solve v*z - 16 = -4*m, 0 = -3*m - 3*z + 12 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, -2414, -1 in ascending order.\nAnswer: -2414, -1, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 1.6. Let k = x + -1.1. Let g = k - 3. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-52)\/(-28) + -2). Suppose -4*g + o*g - 207 = 0. List the prime factors of g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, a: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 9*h**2\/2 + 24*h - 32.\nAnswer: (h - 8)**2*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + 0 - 40 - 157.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.752091nm?\nAnswer: 0.000000000004752091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g + 20. Calculate n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27 + 26*o**2 - 126*o**3 + 42 - 17 wrt o?\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-36)*-1*-3 and -11\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15409*l + 15022*l - 29025 = 0 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + a**3 + 3*a + (0*a + 2*a + 0*a)*(14*a**2 - a + a) + (-a**2 + a**2 + a**2)*(0 + 0 + 2*a).\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/5 - (-6)\/15. Is 87\/6 - (-2)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-6*z**5 + 4*z**5 + z**5) + 224*z - 224*z + 33*z**5.\nAnswer: 31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3663 by -11.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1769059045 divided by -5\nAnswer: 353811809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33.2 in 0.5, 0.04, -3\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d + 52. What is the units digit of r(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 6. Let i(d) = 2*d**3 + 3*d**2 + 3*d + 2. Let v be i(j). Let q be (-5)\/(-20) - (-2)\/v. Solve 0 = 4*g - q + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748 by -5.\nAnswer: -748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4477733688?\nAnswer: 2, 3, 179, 643, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, -72, -51, -22?\n\"Answer: 4*c**2 + c - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4949*c**3*f**4 - 13*c**3*f**3 - 66*c**3 + 2*c**2*f**2 + 2*c*f**2 + 389 wrt f?\nAnswer: 118776*c**3*f - 78*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*n**3 + 22*j**2*n**2 + j**2 - 1474*j*n - 7*n**3 wrt n?\nAnswer: -12*j**2*n + 44*j**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 + 2*a + 4. What is the units digit of h(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5\/7 + 12*j**4\/7 - 24*j**3\/7 + 20*j**2\/7 - 6*j\/7.\nAnswer: -2*j*(j - 3)*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a**3 - 8*a**2 - 15*a - 5. Is f(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25836\/(-14)*(-1848)\/792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + 6 + (-17 - -15) - 123) + -1 + -2?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 14, -4, 7, 2 in increasing order.\nAnswer: -14, -5, -4, 2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 3 - 2 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 1 + 7 - 6)*(-49 + 24 + 15)*(-2*u**2 - 19 + 19) in the form f*u + l*u**2 + j + o*u**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10343 (base 5) to base 11.\nAnswer: 5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*sqrt(102)\/sqrt(54) - (sqrt(34)\/(sqrt(2)*1) + sqrt(17) - (sqrt(17) - (1 + sqrt(1377))))**2*-3.\nAnswer: 62*sqrt(17) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 1. Let z be (42\/(-9))\/(-7) + 4\/3. Calculate l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {k: 3, z: 1, y: 4, f: 2, a: 1, o: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*w = 22, -4*w - 193 - 206 = -7*c - 429 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13830839\/90 - -153678. Find the common denominator of (-11)\/242 - 657\/(-1782) and b.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*i + 393*i - 354*i.\nAnswer: 108*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*62997.\nAnswer: -3149850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -1\/3*t**3 + 0*t**2 + 0*t + 3. Let g(q) = -2*q**2. Determine v(g(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143600160 - -3?\nAnswer: -143600155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*j + 64*j**2 - 126*j + 96 + 0*j**2 wrt j?\nAnswer: 128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 116002, 232278, 348554?\n\"Answer: 116276*d - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31171736 - -1346528.\nAnswer: 32518264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 185*g - 1391. Calculate x(-53).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2213\/38 less than or equal to -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 14274*z**2 - 9*z - 14316*z**2 + 28578*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 11 - (66\/(-286) - (-4644)\/(-156)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1573538 or 1573540?\nAnswer: 1573538","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2808 = -68*t - 117*t - 52*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 13, y: 2, g: 3}. Give prob of picking 1 q and 1 y.\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvvmsmvlmllmsm. Give prob of sequence lmm.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4184351, -8368708, -12553065?\nAnswer: -16737422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111 or -206?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6360 - -14297. Calculate the remainder when y is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 1361 = 2349. Let q = 804 + v. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 1)*(2 - p - 2).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -635530*-0.1\nAnswer: 63553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -969, -1536, -1621, -1224, -345?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqsssqsqqxsxq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49770500 rounded to the nearest ten thousand?\nAnswer: -49770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*p**3 + 37*p**3 - 22*p**3 + 7*p**3 + 62*p**3.\nAnswer: 204*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c**2 + 2*c - 1. Let u(a) = -14*a**2 - 2*a + 2. Let d be (-24)\/(-36) - 24\/(-18). Give d*u(k) + 3*j(k).\nAnswer: 11*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n**(-2\/9)\/n)\/n)\/n)\/n**(-1\/4)*((n*n**13)\/n)\/((n\/n**(8\/9)*n)\/n) assuming n is positive.\nAnswer: n**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**3 - 131380*c**2 + 262775*c - 131390 = 0.\nAnswer: -26278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ausffhthu. Give prob of picking 1 f and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(272) + 0 + 2)*-5 + (5 + sqrt(272)*-1 - (3 + -1 + sqrt(272) + sqrt(272)))**2 + 3.\nAnswer: -92*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**5 + 0*y**2 + 0*y**2)*(-12 - 1 + 4).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 13*d**2 + 2*d - 15. Calculate p(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - z + 0*z - 8 = 6*s - 22 - 15, 5*z + 119 = 41*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 229.3 - 229.8. What is the closest to 2\/9 in j, 4, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.154706 litres to millilitres.\nAnswer: 2154.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-6 - (-24 - -33) - 27).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, -3, -5, 4 in ascending order.\nAnswer: -179, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) 165665 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -628, -575, -486, -361?\n\"Answer: 18*t**2 - t - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -16. Suppose 400 = 6*m + 16. Calculate the greatest common divisor of m and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20)*-1 - (-729772)\/1775130. Let k = 2\/749 - s. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31233 - -54101?\nAnswer: 22424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18282.1 * -6.\nAnswer: 109692.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/8)\/(((-2)\/(-28))\/(5\/10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1469\/18 - 161\/2. Let s = 37405\/158 - -60\/79. Let d = -232 + s. Find the common denominator of l and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n - 3*w + 267, -w = -4*n + 499. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(70))\/sqrt(10) - sqrt(70)\/(sqrt(10) + sqrt(10)*1))*-3)**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 21*v - 80. Let p be c(-16). Suppose -6*a + 2510 - 914 = p. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + t**2 - 20*t. Let a(b) = -158*b. Give a(v(n)).\nAnswer: 158*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708 - 1374 - 21*n + 669.\nAnswer: -21*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -21*a**2 + 18*a - 17. Let p be x(-13). Let h = -2265 - p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 0 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 64*b**2 + 239*b. Let q(h) = 204*h**2 + 716*h. Let v(o) = -5*q(o) + 16*y(o). Solve v(c) = 0 for c.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 5662?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*m - 4*m - 3*m)*(3*m - 3*m - 4*m) + (2 + 3*m - 2)*(m - 1 + 1))*(4*m**2 - 4*m**2 + 2*m**3).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 120398848*w + 905992662482944.\nAnswer: 4*(w + 15049856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1853.26 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u - 3*d - 23887, -u - d + 5970 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 + -324. Let r be 4\/(-15)*(c + (-2)\/4). What is the second smallest value in r, -3\/2, 4, -14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.059 + -5.059. Let x = 5.08 + -0.08. What is the third smallest value in x, o, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + k)*(-41*k**2 + 63*k**2 - 41*k**2) + (-4*k - 2*k + 4*k)*(4*k - 4*k + k**2) as m*k**2 + v + t*k + g*k**3 and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqxxxvpxp. What is prob of picking 2 x and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 474\/11 + 404\/33. Are g and 55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*9)\/(1080\/90).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 119. Calculate i(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*h**3 - 1 + (0*h**2 + 0*h**2 + h**3)*(-3 - 3 + 7) + 7 + 18*h**3 - 20*h**3 - 2*h**2 + 2 in the form z*h**2 + a*h + i + v*h**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - c + 13 = 3, -3*c - 10 = -5*j. Let q = -2 - -3. Sort q, j, -3 in decreasing order.\nAnswer: j, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-4)*y)**(-1\/3)*y**(1\/7)\/y*(y*y**3*y*y)\/y)**(-1\/55) assuming y is positive.\nAnswer: y**(-101\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {b: 1, o: 4, f: 3, k: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 723*d**3 + 8*d**2 + 32*d.\nAnswer: 4338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(2\/13))*v\/v**(-5)*v*v**(2\/19)*v\/((v\/v**(-6))\/v) assuming v is positive.\nAnswer: v**(558\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.2. Suppose 0 = 5*a - m - m + 4, -5*a + 5*m - 10 = 0. Suppose 2*l - 7 = 3*l + 5*t, -3*l - 3*t - 9 = a. What is the closest to v in l, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and -31\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.4, 1398, 2\/11, 21, 2 in descending order.\nAnswer: 1398, 21, 2, 0.4, 2\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -12*t + 66. Suppose -23 = -t*x - 2*m, m - 17 = 3*x - 33. Let l be (2 - -1)\/((-3)\/(-3)). Solve 2 + l = x*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 4*s + 3*s - 6*s + s + s - 5 + 5 + (0 + 2 - 1)*(-s - 2*s + s) + 4 - 4 + 2*s + 5*s + 3*s - 5*s)*(-5 + 4 + 3).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3074.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 10. Let m(g) = -g**3 - g**2. Let b(q) = 5*q**3 + 8*q**2 + q + 3. Let z(j) = o*m(j) - b(j). Let c be (-10)\/(-2) + (-3 - -1). Determine z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*h**3*w - h**2*j + h**2 - h*w + 2*j*w + 44*w + 4 wrt h.\nAnswer: -285*h**2*w - 2*h*j + 2*h - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 2*g**2 + 3*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 2:22 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17507 + 5?\nAnswer: 17512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260441680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*g + 43, 6 + 2 = -c + g. Let m(j) = 5*j**2 - 2*j. Let f(y) = -26958 - 26960 - 9*y + 26*y**2 - 6*y**2 + 53919. Determine c*m(t) + 2*f(t).\nAnswer: -5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 38 = 5*u, 6*u + 5*m = 3*u - 14. Let r = 4 + u. Let c be (1 - 1) + (24 - r). Calculate the highest common factor of c and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4\/7 - 376515*f**3\/7 - 11813063982*f**2\/7 + 5063118228*f - 23628387096\/7 = 0.\nAnswer: -62754, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*w - 142*w + 2 - 6*w**2 to the form s*w**2 + m + z*w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -2969.\nAnswer: 104\/2969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -805*f*m**3*p + 3377*f*m**3 + 2*f*m*p - f*m - 3*m**3 - 131*p - 10 wrt p.\nAnswer: -805*f*m**3 + 2*f*m - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(504)\/sqrt(8) + 0)**2 - ((2 + sqrt(847))**2*-2 + 4).\nAnswer: 88*sqrt(7) + 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 14*f + 4*f**2 - 3*f**2 + 9*f**2 - 27*f + 17*f**2. Let r(j) = -2*j. What is u(r(b))?\nAnswer: 108*b**2 + 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(175)*2 - sqrt(175)) + sqrt(175))*4)**2.\nAnswer: 403200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1415 divided by 2.\nAnswer: -1415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4 + 1 + 1 + k. Suppose 6*z - 3*z + 51 = 0. Let a = z - -11. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 53*h**2 + 2. Let y(j) = 63*j - 644. Let l(t) = -7*t + 69. Let w(d) = 28*l(d) + 3*y(d). Give w(x(o)).\nAnswer: -371*o**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (51 + (13 - 45 - 16))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14847368 to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1097 and 2104046?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125506, 251022, 376544, 502072, 627606?\nAnswer: 753146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 + 0.01. Let w = -2155 - -2150. What is the closest to -17 in w, b, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10)*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -118174 in 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417 - -414. Put d, 4, -5, 2 in increasing order.\nAnswer: -5, d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryrrprmvr. What is prob of picking 1 y and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 - (-262)\/8. Let s = -43525 + 43537. Solve 37*w = u*w - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797 is divided by 389?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 2. Let h = -11 - -9. Calculate p(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125146?\nAnswer: 2, 7, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(924\/24)*(-8)\/104\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 279076\/(-110) + 10\/(-25). Let s = w - -2541. What is the common denominator of 23\/9 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221111 - -11?\nAnswer: 1221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79\/5 + -301\/20. Let f = -5.025 - -4.825. Which is the second smallest value? (a) -4 (b) f (c) 17 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23*p**2. Let m(x) = 1933*x**2 - 8*x + 33. What is m(o(i))?\nAnswer: 1022557*i**4 + 184*i**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*p = 175*p - 15. What is the hundreds digit of p*5 + (33 - -971) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w + 41. Determine n(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68868012, -137736025, -206604038, -275472051?\n\"Answer: -68868013*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*(-33)\/22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 9:48 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 4*a**2 - 5*a - 60. What is q(-4)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**8\/420 - 7*w**5\/60 + 16*w**3\/3 - 2. Let n(m) be the third derivative of r(m). Find the second derivative of n(a) wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163.00000392 + 163. Round j to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 + 33*t**3\/5 = 0. What is t?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*f + 4, 2*f - 4*h + 4 = -7*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 210.57 * -13.\nAnswer: -2737.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2. Let d(k) = k**2 - 1972*k - 212. Calculate d(o(w)).\nAnswer: 36*w**4 - 11832*w**2 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 419527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*40\/(-45)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 37 = 2*v, -5*v = 2*z - 0*v + 12. Is 18 a factor of ((-9)\/2)\/(z\/132)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2, 28, -2 in ascending order.\nAnswer: -2, 2, 28, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44014 - 7614. What is j rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14788291 and 9979.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2026 and -91\/4052.\nAnswer: 4052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**4 - 6*y**3 + 6*y**2 - 7*y - 6. Let a(r) = r**4 + r**3 - r**2 + r + 1. Let g(c) = 6*a(c) + u(c). Find the second derivative of g(q) wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.4. Let r = -91 + 547\/6. Let m = 0.243 - 0.043. Which is the closest to m? (a) r (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 4*u + 4. Let s(l) = -5*l**3 - l**3 + 5*l**3 - 1 + l. What is 3*m(v) + 12*s(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -1010?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*a - v - 1, -2 = 2*a - 5*v. Let n(x) = -4*x**3 - 2*x**2 - 2*x - 1. Calculate the lowest common multiple of 4 and n(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1048 + 1968. Suppose 5*q = z + 80. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 = -r - 2*r. Calculate the remainder when r is divided by (2 + -17)*2680\/(-804).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((0 + -3 - 1) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1 - 1) + -1. Let g(f) = f**3 + 5*f**2 + 7. Let n be g(-5). Let r = n - h. Solve a = -3*o + r, -5*o - 13 = -38 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-40))\/(2\/152). Suppose 0 = -c*p + 180 + 67. Solve -p*w - 3 = -10*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -3683?\nAnswer: 3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 6*x**2 - 16*x + 28. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/206 and 1\/5632.\nAnswer: 580096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -608 - -607. Which is the third smallest value? (a) g (b) 4 (c) -219 (d) -0.5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*p + 24812 + 15783, 2*p + 40595 = 5*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439848 plus 317559?\nAnswer: -122289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:54 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 723 - 816. Let x = -97 - z. What is the closest to 0 in -3, x, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v - 3. Is (10 - -169) + (-4)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 2*p, 2*a = a + 62*p + 120 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 107*c - 5. Let m(q) = q**2 + 53*q - 2. Calculate 5*m(t) - 2*x(t).\nAnswer: -t**2 + 51*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26360 - 0?\nAnswer: -26360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 (base 8) in base 10?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 - -330?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.19 + 0.19. Which is the nearest to -1\/7? (a) l (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 0.28\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, l: 1, s: 1, d: 1}. Give prob of sequence ms.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, -3 in ascending order.\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - 55\/(-376). Let j = -1\/47 + h. Let w be (-18 - (1 - 3)*11)\/8. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = f - 3. Let v be f\/(-3*(-4)\/(-12)). Let o = 71\/3 + v. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 4, -9, -3 in decreasing order.\nAnswer: 7, 4, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/8 - 29337*v\/8 + 91600 = 0.\nAnswer: 25, 29312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -7447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + 1 + 6*j - 5*j**3 - 2*j**3 to the form r*j + k*j**3 + l*j**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/3))*o\/(o*o\/o**12*o*o))**20 assuming o is positive.\nAnswer: o**(580\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 368006270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y, 0 = -3*g - 3*y + 6 + 6. Let o(q) = q**2 - q + 1. Let x(w) = 3*w**2 + 1. Give g*o(h) - x(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2))\/(90\/24)*-115. What is the common denominator of (-1878)\/(-208) - u\/(-299) and -58\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/3 + -4. Let w = 4 + -6. Let y = 20.58 - 18.58. Which is the third biggest value? (a) m (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**7\/126 - f**6\/45 + f**5\/180 + f**4\/36 + f**2\/2 - 1. Let b(i) be the second derivative of y(i). Factor b(x).\nAnswer: x*(x - 1)**2*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265680 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 + 5. Let b be y(0). Suppose -11*u + 8 = -7*u, 5*u = b*d - 20. Calculate the highest common divisor of d and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141055 + 480284. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/10*3\/24?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 818.475 + -845.6. Round s to one dp.\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o - 3*o)*(-4*o**2 + 2*o**2 + o**2)*(-3 + 4 + 1) + (-o**2 + 0*o**2 + 0*o**2)*(-o + o - o**2) - 2 + 2 - 2*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**7\/525 + 2*o**5\/75 + 15*o**2. Determine x so that v(x) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012122102000 (base 3) to base 5.\nAnswer: 1033034434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*h + 165 = 0, -h - 95 = -5*c + 2*c. Let u = 21 + c. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1908*u**6 - u**2 - 177*u wrt u?\nAnswer: 228960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g - 2. Let a(w) = -5*w**3 + 22*w. Let i(c) = c**3 - 5*c. Let v(u) = -2*a(u) - 9*i(u). Give k(h) - 2*v(h).\nAnswer: -h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5750 - 43*h**2 - 5750.\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399533766 divided by 3248242?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u - 2*o, -17*u + 3*o - 14 = -22*u. Let t(f) = -10*f + 2. Let w(q) = 220*q - 45. Give u*w(l) + 90*t(l).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38395, 48268, 58141, 68014?\nAnswer: 77887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 316*t + 328*t + 1)*(t**2 - 2*t**2 - t**2 + (0 + 0 - 2*t)*(1 - 1 + t))*(5*t - 14*t - 2*t).\nAnswer: 528*t**4 - 132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:51 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 55. Suppose 3*f - 4*b - o = b, 0 = 5*f - 5*b - 100. Suppose -11 = 2*g - 33. Solve 4*c = 5*p - g, -f = 2*p + 3*p + 3*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 5, g: 1, q: 1, w: 4}. Give prob of picking 1 y, 1 g, and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1131, -2 in descending order.\nAnswer: 1131, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((4 - 1) + -4). Suppose x*n - 2 = 3*n. Suppose -2*o = -o. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c0e9 (base 16) in base 15?\nAnswer: -62489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2\/2 + h + 2432. Let c(l) = 8*l - 9. Calculate -c(t) - 5*x(t).\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/15 - 9*s**5\/20 + 27*s**4\/2 - 9843*s**2\/2 + 4*s + 361. Differentiate l(z) wrt z.\nAnswer: -8*z**3 - 27*z**2 + 324*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(4\/11)\/l)*l**(2\/13)*l**2*l*l**(2\/17)*l assuming l is positive.\nAnswer: l**(14362\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:09 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v - 51 = 0. Let l = 228 + -143. Let n = l + v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 - 2*v**2 + 2*v - 4. Let f(z) = -17*z**3 - 7*z**2 + 7*z - 14. Let u(j) = 2*f(j) - 7*m(j). Let n(h) = 5*h**3 + 2. Give n(q) - 3*u(q).\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(3\/(-4)). Let p be (c\/44)\/((-5)\/20). Let x = -51 + 205\/4. What is the nearest to 1 in x, 5, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/23, -97, 2, 68 in decreasing order.\nAnswer: 68, 2, -44\/23, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.969349 minutes?\nAnswer: 0.14948915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztggzzgzgzszz. What is prob of picking 1 s and 1 z?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10 - -14) + (-5 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12688*i + 114151. Calculate o(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p + 465 = 2*d - 16*p, -17*p - 10 = -3*d - 4*p - 8*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 13*x**7\/5040 - 11*x**5\/20 - 39*x**2. Let q(l) be the third derivative of j(l). Let a(o) = o. Calculate a(q(m)).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.3476252 rounded to two dps?\nAnswer: -113.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1190466397 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 297\/(-3)*(-66)\/9. Let g = n + -488. What are the prime factors of g?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 14. Let a = -18 - k. Let h = 0.036 + -0.136. What is the closest to -2\/21 in h, 2\/7, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -1071669.723.\nAnswer: -1071670.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82.045 + 82. Let h = l + 34.045. Let b = h + -33.9898. What is b rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 17}. Give prob of picking 1 w and 2 e.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k + 17. Let i be c(7). Let d = i - -53. 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: -2 - (-4 - 0 - (0 - 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14725 rounded to three dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*l**2 + 196*l**2 - 137*l**2 + (-3 - l + 3)*(3*l - 2*l - 2*l).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-144)*(-1592)\/2189.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 231 = -3*x, -x - 63 + 60 = 0. Solve -15*g - g = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4575711, -4575693, -4575675?\n\"Answer: 18*u - 4575729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370851389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkyykkkk. Give prob of sequence kk.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 12*p**2 + p + 6. Suppose -4*w = -4*u + 56, -5*w - 8*u + 4*u = 52. Let t be n(w). What are the prime factors of (-1)\/(t\/1106) + (-18)\/(-27)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 30*l**2 + 7*l + 3. Let x be u(-2). What is the remainder when (-6)\/1 - (4 - x) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + u, -2*r - 106*u = -107*u + 1. Suppose 5*n - 15 = -2*g, 2*n - 6 = -2*g - 3*g. Sort -2, 0, r, n in descending order.\nAnswer: n, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - (-582)\/21. What is the third derivative of -3*r**2 - 28*r - r**4 + o*r wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 2*r + 963, 1971 = 2*t + 5*r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2 + 429. Let b(q) = 2*q**2 - 1476. What is d(b(i))?\nAnswer: 4*i**2 - 2952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 52*l + 1870. What is q(-35)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(o + 0 + 0) + (o + 1 - 1)*(-4 + 3 + 0) - 3*o - 2*o + 0*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - 0.31. Which is the closest to 1\/5? (a) 4 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 100, 170, 260, 376, 524, 710, 940?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 19. Let b = 79 - 87. Calculate t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201200 (base 3) to base 2.\nAnswer: -11111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**5 - 1070*k**4 + 911630*k**3\/9 + 306020*k**2\/3 + 102245*k\/3 - 449. Suppose p(v) = 0. Calculate v.\nAnswer: -1\/3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, -32, -52, -70, -86, -100?\n\"Answer: c**2 - 25*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48178489 divided by 48178489.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21488733 to the power of 1\/2, to the nearest integer?\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - k. Let w(x) = 53*x**3 - 6*x**2 - 6*x. Determine 6*r(h) - w(h).\nAnswer: -59*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 2)**2 + 6*(sqrt(5) + 0).\nAnswer: 46*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -7\/9, 1\/4, 0.4 in ascending order.\nAnswer: -7\/9, 0.1, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - -4 - 16) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629084?\nAnswer: 2, 3, 135757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-5 - 2*j + 5) + (-j - 2 + 2)*(1 + 3 - 5) - 5 + 3*j + 5)*(-21*j - 111*j - 75*j).\nAnswer: -1656*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + n**2 + 3 + 204*n - 3*n**2 - 204*n + (-5*n + 4 - 4)*(1 - 4*n - 1).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h + 1. Calculate the remainder when t(11) is divided by (3264\/(-256))\/((-12)\/32).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8868269367 rounded to three decimal places?\nAnswer: 0.887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*r + 2740 = -750*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - 5*g**2 + 36*g - 20. Let s(x) = -x**3 + x**2 - 7*x + 4. Suppose -4*z - 35 = 9. Let c(d) = z*s(d) - 2*o(d). Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27397 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = -4*q - 2*f, 5*q - 3*f + 9 = 0. Which is smaller: q or -26\/7?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/42 - (-58)\/(-28). What is the biggest value in h, 1, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 + 2*n + 2. Let j(y) = 2*y**3 - 10*y**2 - 3*y - 4. Let l(d) = 13*i(d) + 6*j(d). Suppose 48 = -2*m + 10*m. Determine l(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, b: 2, i: 2, o: 1}. Give prob of picking 2 i and 2 s.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7, -1\/10, -5, -0.01 in decreasing order.\nAnswer: 0.5, -0.01, -1\/10, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Suppose -3 = l - k, 0 = -5*l + 3*k + k - 11. Let a be d(l). Solve 5*h = -a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -172*o**3\/3 - 123*o**2\/2 - 2*o - 881. Find the second derivative of u(r) wrt r.\nAnswer: -344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -55 + 19. Let w be (-1048)\/(-40) - (v\/(-15))\/4. Let z be (-84)\/(-28) - 2\/(-1). Solve -4*q - t = -0*t + 12, -3*q - z*t - w = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 6. Let b(q) = 2*q - 2. Let c(o) be the first derivative of o**3\/3 - 5*o**2\/2 + 5*o + 2. Calculate a*c(f) + 5*b(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07599 - 94.91901. Let y = -95 - n. Round y to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2*z**5 - 12*z**4\/7 + 8*z**3\/21 + 8. What is h in i(h) = 0?\nAnswer: 0, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**4)\/m*m)**(-10))**(-6\/13) assuming m is positive.\nAnswer: m**(300\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 8:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {m: 2, x: 2, f: 2, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95871710.\nAnswer: 2, 5, 11, 163, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 12*t + 135. Let x be g(-11). Let w be (1*1*3)\/((-177)\/x). Solve r + 10 = -w*r + d, -15 = -r + 4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 2*d - 2*d + 29*d + 0*d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100297834 divided by -5\nAnswer: -100297834\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*2)\/sqrt(7))\/(-4*(sqrt(11)*-3 - sqrt(11)) - sqrt(11)).\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + 1.83. Which is the third biggest value? (a) q (b) -27\/5 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 1\/4 (c) -1.8 (d) 80.4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 800*m**2\/7 + 802*m\/7.\nAnswer: -2*m*(m - 1)*(m + 401)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53063427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p + 0*p - 2*p)*(1 - 1 + p) - p**2 + 2*p - 2*p + (2 - 1 - 3)*(p**2 - p + p))*(-9*p + 0*p + 0*p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 8*j - 4. Let d be ((-1)\/(-5))\/((-5)\/(-25)). Let h = d - -15. Let s be h\/(-10)*(4 + 1). Calculate x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h. Let r be b(-5). Let t be r\/(-20) - 2\/8. Solve 1 = -c - k + 4, -t = 2*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9494*v**2 - 470*v + 940. Let d(q) = -11*q**2 - q + 2. Give 940*d(j) - 2*x(j).\nAnswer: 8648*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 20 - (-58)\/8)\/((-5)\/540).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 139*s**2 + 17*s + 6. Let z be n(7). Suppose -b + 4 - 5 = 0, 5*b = -f + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 38 + 46. Let k = 110 + -64. Let r be (k\/4 - 1)*36\/n. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00181198155 to 5 dps.\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 33 = -5*m, 3*m + 10 = m. Suppose 4*v + k = -6. Sort -1, v, 5 in ascending order.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.179671 + 0.079671. Let l = -2 + 2. Which is the nearest to l? (a) x (b) -4\/3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*f + 12 = -0*f, -4*f + 3 = -130*z + 127*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1797447, 1.\nAnswer: -1797447, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 16*d. Let l be i(-8). Suppose -3*n + 17 = 4*k + 4, l = 3*k - 3. Sort n, -1, 4, -2 in decreasing order.\nAnswer: 4, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 7*z + 2. Suppose -t - 1 = 3. Let q be 374\/88 - (-1)\/t. Is u(q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26613 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 18 = 2. Calculate the remainder when -1*12\/p + 27 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 47266185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from fxjfjjfxjfxjxeffj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-806340)\/(-120951)*((-1)\/3)\/(26\/18)?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 11, c: 2, n: 1, q: 1, e: 2}. What is prob of sequence qc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + -4 - 1026\/95. Let y be 8\/48*(-3 - -1). Sort 0.3, -1\/8, y, h.\nAnswer: y, -1\/8, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1806 = -1803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -311.27783 rounded to the nearest integer?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 v when four letters picked without replacement from wwsvsvwswsssswvsv.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28353*d - 1834*d + 16926*d - 29303*d.\nAnswer: -42564*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -19. Let j be -1 + 2 - (-2)\/z. Let k = 0.05 - 0.05. Which is the closest to j? (a) 4 (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -498168 - -498171. Suppose -3*a = 1 + 5. Let m be (-4)\/a - (-2 + 3). Solve s*f - 5 = m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from hoqvhvnqhh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/4)\/((-2)\/4). Suppose 0*z + c*z = 495. Calculate the common denominator of z\/4 - 3 - 3 and -2\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 + 7. Let j(t) = -2*t**2 + 2. Suppose -3*l = -4*l - 7. Let k(s) = l*j(s) + 2*b(s). Let i(g) = -g**2. What is -2*i(v) - 2*k(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69757?\nAnswer: 79, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shv when three letters picked without replacement from {r: 3, s: 2, h: 1, b: 5, v: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qixxmxxem. What is prob of picking 1 e and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27569)\/114*(-5 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24207389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((5 - 3) + -7)*-17. Suppose -4*g - x - 103 = 0. What is the common denominator of -53\/10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 2. Let r be h(-2). Let p be r + 1 + -1 + -1. What is the second derivative of 0*f**3 + 0*f + 3*f + p*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let q(t) be the second derivative of -t**4\/12 + 180*t. What is q(s(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 u when four letters picked without replacement from {t: 3, u: 11}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:51 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 63 - (603 + -638).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 318 = 2*m. Let f = -16 + m. Let k = 124 - f. Calculate the remainder when k is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12730)\/270*3 - (14 - (-2730)\/(-189)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/374)\/(14\/(-8))*14\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-63)*(2 - -1 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 23*v**2 + 21*v - 310. Let t be f(32). What is t rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4, -1\/2, -5\/9, 15?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-22) - (-744)\/(-22). Let y = f - -35. Solve 2*q + y = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(19)*-1 + (-2*sqrt(57))\/sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*i - 10, -2*y + 4*i + 0 = -4. What is the hundreds digit of 344\/2 - (3 + y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -978?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -285 and -286 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*d + 3*d + 6*d - 1.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**7\/14 - 5*k**4\/3 + 66*k**3 - 51*k - 2. Find the second derivative of o(p) wrt p.\nAnswer: -60*p**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3394 divided by -2523\nAnswer: 3394\/2523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9\/4)\/r)\/(((r\/r**17)\/r*r)\/r) assuming r is positive.\nAnswer: r**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -12) + -54 + 71?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i + 317*i - 149*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*n - 2*c, 4*c = -3*n - 8 + 27. What is the tens digit of -1 + n + -2 + 9*9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 = -5*a, 20 = 3*a - 3*y + 5. Let j(p) = a*p**2 + p**2 - 4*p**2 + 4*p - p - 2. Calculate j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 10*z + 15. Let p be v(-11). Suppose -4 - p = -2*c. Suppose c*b + 20 = 0, 4*s - 45 = 3*b + 14. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1872 and 55\/5408?\nAnswer: 48672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9) + (-5)\/3. Let y be (1\/18)\/(v\/(-4)). Let g be 3 - (0 - 93\/(-27)). Which is the nearest to -0.1? (a) g (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 12*t + 13. Let y(x) = x**2 - 11*x + 12. Let u(w) = 4*o(w) - 5*y(w). Suppose k - 2 - 4 = 0. Suppose -12 = -8*d + k*d. Determine u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5036 divided by 2.\nAnswer: -2518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3833 (base 13) to base 8\nAnswer: -17461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*-1*(-2*sqrt(490))\/(sqrt(162)\/sqrt(9)))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -225*b - 5. Let c(z) = -2*z + 1. What is 10*c(o) + 2*k(o)?\nAnswer: -470*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1964 + -1198. Let w = t + -194. List the prime factors of w.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23391 and 1449.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 535905250 to the nearest one million.\nAnswer: 536000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 4*v - 104 = 0, 10*v - 11*v = -5*t + 35. Factor 2\/3*k**2 + t - 4*k.\nAnswer: 2*(k - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 1667101*d - 10002642.\nAnswer: (d - 1667107)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28453 - -28454. What is the closest to s in 4, -4.5, -61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/6 - 9*t**3 - 26*t**2 + 171*t - 120. Let j(o) be the first derivative of i(o). Suppose j(u) = 0. Calculate u.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:02 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, 41, -331, -5 in descending order.\nAnswer: 41, -5, -238, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-105) - 0)*-10. Let r be (-8)\/(-28) - 2 - -2. Let z + r*x - 2\/7*x**3 - 4\/7*x**2 = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 92) + -1504 + 1608.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -59*a. Let t(q) be the first derivative of -q**5\/60 + 65*q**3\/3 - 9. Let o(s) be the third derivative of t(s). Calculate m(o(w)).\nAnswer: 118*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/12 - 180*y. Let j(b) = -3497*b**2. Give j(g(d)).\nAnswer: -3497*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382921?\nAnswer: 7, 11, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(16\/4))\/((-13)\/1170*-10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o - 99. Determine f(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k**3 + 5*k**3 - k - 1 + 3 + (k + 4*k - 2*k)*(-2*k**2 + 2*k**2 + k**2))*(0 - 1 + 0).\nAnswer: 8*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72231924, 144463847, 216695770?\n\"Answer: 72231923*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 58 - 6 = 0. What is the remainder when f is divided by (2 - (-12)\/(-18))\/(4\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463345.\nAnswer: 5, 13, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -17*j + 14958. Let r(m) = j*m - 278*m - 13 - 274*m. Let u(f) = f - 6. What is 2*r(h) - 5*u(h)?\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*d + 96 = 85*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.285897305 + 0.2859. What is g rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 27*i**2 - 66*i - 395. Let w be j(-25). Let u = -0.5 - 0. Which is the second smallest value? (a) 4 (b) -2\/5 (c) u (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**18\/m**(-16))\/(m**(-6)*m)**(-5\/7))**(-43) assuming m is positive.\nAnswer: m**(-9159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Is d greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:46 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-49) - 78\/(-21)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44399443 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 + 84*a + 1479. Calculate u(-11).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423125 (base 6) in base 3?\nAnswer: 22212011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.673324 days in minutes?\nAnswer: 3849.58656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 424447 = -855406 + 201143. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 203 - 159)*(-2*v + 6*v - 5*v) as p + r*v and give r.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.4 (b) 0.5 (c) 0 (d) -1\/18 (e) 0.69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2. Let o(h) = h**2. Calculate f(o(k)).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - 78968?\nAnswer: -78950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 3. Let h(f) = -6*f + 352. Calculate -h(d) - 8*k(d).\nAnswer: -2*d - 328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2117*d - 155 - 146 - 147 + 448 in the form i*d + p and give i.\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2358*c + 4703. What is k(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -2\/821 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:40 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12654593 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let p be 124\/248*(1*-1 + 1). Suppose -i*l + p = -c - 24, 1 = l + 5*c. Solve -4*k = 2*g + 16, 4*k - l = -3*g - 31 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 603 + -605. Let q(z) = 4*z**2 - 3*z - 1. Determine q(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354.374 millilitres to litres.\nAnswer: 0.354374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -458*p**3 - 4*p**2 + 4*p + 79. Let d(a) = -459*a**3 - 5*a**2 + 5*a + 75. Let m(g) = -4*d(g) + 5*k(g). What is the derivative of m(s) wrt s?\nAnswer: -1362*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6608.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 0 + 73 - 1. Let s(w) = -w**3 - 23*w**2 - 76*w - 48. Let a be s(-19). Let t = k + a. Calculate the remainder when 129 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7366 and 6604?\nAnswer: 191516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*i**5 - i**4 - 9*i**2*o**2 + i*o**2 - 177*o**2 wrt i.\nAnswer: 780*i**3 - 12*i**2 - 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16791 and 26634.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 5*k + w, k + 4*w - 58 - 12 = 0. Let h = k - 51. Suppose 3*r + 0*r - h = 0. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.3 - -30.3. What is the nearest to 1 in -13, w, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 - 8*p**2 - 10203*p**3 + 1501*p**3.\nAnswer: -8702*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(0 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let m(g) be the third derivative of g**4\/6 - 4*g**3\/3 - 2*g**2. Let u(s) = 1. Let x = 13 + -5. Let i(c) = x*u(c) + m(c). Calculate i(d(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 3*v + v)*((1 - 3 - 2)*(0 - 1 - 1) + 4 - 3 - 5) + (-3 + 5 + 0)*(0 + 2*v + 0) to the form r*v + l and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1042*b**3*l + 3*b**3 - b**2*l - 5*b**2 - 19174*b*l + b wrt b?\nAnswer: 6252*b*l + 18*b - 2*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**3 + 33405*b**2 - 333675*b + 833875 = 0.\nAnswer: 5, 6671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 251231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = 2*v + 3*v, -3*v - 30 = -5*y. Let l(m) be the first derivative of 12 + 27 - m**y - 6. Factor l(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((-49)\/822) - (-8)\/14. Let a = -217 + 422. Let r = a - q. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 3.33067552?\nAnswer: -13.32270208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -b + m, -4*b + m = -0*m - 238. Let o be (-16)\/(-6)*45\/b. What is p in 2*p**2 - o*p + 3*p**2 - 2*p**2 - 4*p = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 60. Suppose k*d - 45647 = -4*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2*y - 3*y**3 - 1 + 5*y - 1 - 4*y. Let n be h(-1). Solve -c = 6 - n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*sqrt(3))*-2 + ((sqrt(243) + 0)**2 - sqrt(243)) + sqrt(243).\nAnswer: -4*sqrt(3) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5046 is divided by 928.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1312*b - 373072. What is a(-284)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 368 + -371. Is -2 - i - 538200\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*b**3 + 784*b - 784*b.\nAnswer: -275*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 45 = -5*g + 49, -4*g = 16. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 1\/3 (b) -1\/4 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + -91. Let b = -107 - n. Suppose 0*k = -b*k. Sort k, 5, 2, -1 in decreasing order.\nAnswer: 5, 2, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -7, 1, -5, 2 in decreasing order.\nAnswer: 2, 1, -5, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1857*j**2 - 35889?\nAnswer: 3714*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g + 324 = 635 + 649 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.53 (c) -100589\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 10. Let f be j(-6). Is 21 a factor of (62\/8)\/(f\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) -0.8 (c) 8.584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b + 35*b**2 + 5*b**2 - 11*b to l*b**2 + q + i*b and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = -2*i - 5*v, 10*i - 295 = 89786*v - 89781*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*j - 6*v + v, -2*j = 3*v + 19. Let u be ((-2)\/(-3))\/(j\/(-9)). Suppose 9 + 6 = u*o. Calculate the remainder when 19 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 388571.\nAnswer: 28\/388571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxfdggrg. What is prob of picking 2 x and 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 - -371. Calculate the greatest common factor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7453 divided by 257\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318327294 - 318326502.998939. Let x = 791 - l. Round x to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1622 + -537. List the prime factors of z.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:00 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28531, -28533, -28535, -28537, -28539, -28541?\n\"Answer: -2*z - 28529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -319*g**2 + 255*g + 13. Let h(y) = -80*y**2 + 60*y + 3. Let j(n) = 17*h(n) - 4*p(n). Let u(m) = 7*m**2. Calculate j(u(f)).\nAnswer: -4116*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/15)\/v*v*v\/(v*v**(-2\/9)\/v) assuming v is positive.\nAnswer: v**(97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76, -78, -80, -82, -84, -86?\n\"Answer: -2*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-716)\/(-36) + -10 + -10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034.55 days in minutes?\nAnswer: 4369752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0162 - -0.0162. Let z be (0 + (-2)\/(-7))*-1. Which is the closest to -1? (a) z (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888014596 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 495, 1115, 1983, 3099, 4463, 6075?\nAnswer: 7935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*v - 305, 0*v - 95 = -v - 3*x. What are the prime factors of v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 - 79 - (-23374)\/(-1066)\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -43, -127, -235, -361, -499?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from mhthtmmh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -360*a + 22848?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70544921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 21*g + 145. Suppose 6*s = 3*s + 54. Calculate the remainder when d(-7) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3632, -3631, -3630, -3629, -3628?\n\"Answer: n - 3633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - o + 10*o - 8*o)*(125*o - 308*o - 35*o).\nAnswer: 654*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d2 + 6d4b1?\nAnswer: 6d2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let p(d) = 13*d - 115. Suppose 3*c + 0*r + 4*r = -1, -5*c = r - 4. Let o(z) = c*p(z) - 5*n(z). What is the derivative of o(s) wrt s?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*o - 105*o + 78*o to the form q*o + h and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 5*d. Let g(m) = -3*m - 16. Calculate j(g(q)).\nAnswer: -45*q**2 - 465*q - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53599 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(170))\/(sqrt(160)*1).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -2, -5, -23, 219 in increasing order.\nAnswer: -73, -23, -5, -2, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(832)*-1 + (0 + sqrt(52))*5.\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (-11 + 1) - 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358578.\nAnswer: 2, 3, 11, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/472433 and -63\/11258.\nAnswer: 409126978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 = f + 3*p, 8*f + p - 2919 = 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383222\/3 or -5\/8?\nAnswer: 383222\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-312) + (-35)\/(-12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -108.9524. Round f to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 2*-4) + 1. Let u = z - 9. Let y(b) = 7*b**3 + 11*b - 4. Let x(t) = 15*t**3 - t**2 + 23*t - 8. Let h(w) = 6*x(w) - 13*y(w). What is h(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174254023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/33 + -3\/22. Let m = -4.3 + 1.3. What is the second smallest value in 2, n, m, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(170)*3*5)\/(2*sqrt(10)*2 - sqrt(200)\/sqrt(5)).\nAnswer: -45*sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3547 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*i**5 - 63*i**4 + 2*i**3 + 64*i**2 - 23*i + 2?\nAnswer: 1140*i**2 - 1512*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2*a**7\/21 - 241*a**6\/15 + 245*a**3\/6 - 2*a**2 + 1652*a. What is the second derivative of k(s) wrt s?\nAnswer: -80*s**3 - 5784*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 15) to base 6.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 + 4*i**3*s + 29*i*s + 819*s wrt i.\nAnswer: 8*i**3 + 12*i**2*s + 29*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342*w**2 + 263*w wrt w?\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20196 and 19924?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -7 + t**2 + 0*t**4 - 1\/3*t**6 + 0*t**3 + 0*t + 0*t**5. Find the second derivative of a(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8782693889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i + 2. Suppose -4*u = 5*u - 18. Let k(f) be the third derivative of -f**4\/8 + f**3\/6 - 368*f**2. Give u*t(d) - 7*k(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3 + 172*v. Let q(w) = 4*w**2 - 2*w**2 - w**2. What is q(y(k))?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134691655819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9749 - 5617. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1290 - -1615. Calculate the lowest common multiple of f and 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - h**3 - 44*h**2 + 3 + h + 46*h**2 + 0*h. Determine p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)\/((r*r**(-12)*r)\/r)*(r*r**9)\/r**(-8\/3) assuming r is positive.\nAnswer: r**(349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938677799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -110394?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -28\/9*p**4 + 2\/9*p**5 - 200\/9*p**2 + 76\/3 - 20*p**3 + 178\/9*p = 0.\nAnswer: -3, -2, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 6, 13, 22 in increasing order.\nAnswer: 5, 6, 10, 13, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.3. Let j = -3.61 + -0.39. What is the closest to 2\/7 in j, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2. Let z(x) = -119*x - 80*x - 20*x - 92*x - 68*x. Give v(z(p)).\nAnswer: 287282*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:43 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/13 - (-18918)\/234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*d = -4*h + 5, -5*h + 2*d = -19. Let l be 4\/12 - (-11)\/h. Solve 4*r**3 - 4*r**3 - 2*r**l + 2*r**5 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.032 + -1.968. Which is the smallest value? (a) 0 (b) 1\/3 (c) j (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2 - 30 + 30 + 15*i**6 - 5*i**2 wrt i?\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -1*10\/2. Suppose -20*n + 1170 = -590. Let h = n - 88. Solve h = -y + b*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssppmpsss. Give prob of sequence mp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:04 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -908.5 - -909.5. Sort 90, x, 0.1 in descending order.\nAnswer: 90, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105.0058 - -105. What is m rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 7) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5579389?\nAnswer: 521, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 9*r + 4. Let t(v) = -v**2 - 17*v + 77. Let a be t(4). Determine l(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158469 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 853*a**5 - 865*a**2?\nAnswer: 51180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f + 9. Let m be r(3). Let p be -1 + 4 + 2*-1. Which is bigger: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261728 by -65432.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6696 and -73\/48.\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 + 7*v**5 + 43244*v**3 - 6*v**2 + 9*v + 10452 wrt v?\nAnswer: -240*v**3 + 420*v**2 + 259464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3889, -7774, -11657, -15538, -19417?\nAnswer: -23294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-6*sqrt(180)))\/((3*sqrt(784))\/sqrt(8)).\nAnswer: -sqrt(7)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - o + 2*o)*(8*o**2 + 95*o**3 - 42*o**3 + 4 - 49*o**3) to q*o**3 + u + j*o**2 + b*o**4 + a*o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2207 divide 67837691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -6?\nAnswer: -71\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 14*u - 27. Determine d(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - -4*sqrt(150))\/sqrt(10))\/(sqrt(6)\/sqrt(128)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m - 86. Does 13 divide a(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 60*t**2 - 28*t**2 - 29*t**2 - 7.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-1*sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68))\/(sqrt(4) + -1*sqrt(4)*-1))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3c8 (base 15) to base 3\nAnswer: 1011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 4*u + 119)*(5*u**4 - 2*u**4 - u**4 - u**4 - 1 + 1 + (-u + u - 2*u**3)*(4 - 2*u - 4)).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -34 - 21. What is g in b*g - 3*g**3 + 24 + 0*g - 45*g**5 + 12*g**4 + g - 30*g**2 + 42*g**5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 6. Let y = 32 + -32. Suppose 2*h - 4 - 4 = y. Suppose -4*j = h*q + 20, 8*q = 3*q + 5. What is z(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-12 - -10) + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.17 - -5.97. What is the nearest to 1 in 4, -0.5, 2\/201, l?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) 2348 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 9\/(18\/68). Is 3 a factor of (-14)\/(-49) - r\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = 0. Suppose -3*f + 0 + 6 = c. Suppose -2*w = -f*u + 36, u + 5*w - 10 = 2. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxxmmttxtxxtxwmgxm. What is prob of sequence vxg?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -652, -654, -656, -658?\n\"Answer: -2*u - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*g*g**(2\/17))*g)*g*g*g\/g**(-2\/11))**(-6)*(g*g\/g**(2\/7)*g*g*g)**(-26)\/(g**(-1))**(1\/67) assuming g is positive.\nAnswer: g**(-12484811\/87703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 28. Let m(a) = -a**2 + 14*a - 11. Let r be m(o). Let l(p) = 9*p**2 + 3 - 3 - 6*p**r. Let g(t) = 3*t. Determine l(g(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-702)*-13)\/((-10)\/18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3334, -3668, -4002?\nAnswer: -4336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31625 - 31625. Let i = 0.2 - 0.3. Which is the nearest to l? (a) -7 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 1. Let f = -90 - -39. Let l = 47 + f. Which is the biggest value? (a) -0.5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -640*m + 6. Let v be d(-1). Suppose -18*z + 19*z + 5*k = v, -4*z - 2*k = -2512. Calculate the remainder when z is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26290?\nAnswer: 2, 5, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 17*b - 834. Suppose 3*x = 127 + b. Let k = x - 59. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -465, -1846, -4149, -7374, -11521, -16590?\n\"Answer: -461*p**2 + 2*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1595*d**3 + 154*d**2 - 77. Let h(z) = 42*z**3 + 4*z**2 - 2. What is -77*h(u) + 2*l(u)?\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -264. Let i(p) = -18*p - 94. Let k be i(-5). Does 13 divide f\/k*(-16)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1667 + 582 + 2825 + 2198)*(-6*r + 3*r + 0*r)*(2*r**3 - r**4 - 2*r**3).\nAnswer: 11814*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -1304?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 25 + 69 = 0. Let l = v + -26. Suppose 7*r - 3*o = 2*r - l, 0 = 2*o - 4. Let h(x) = x**3 + 3*x**2 + x + 4. Determine h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1*(-13)\/(-5). Let u = 12.18 - 1.88. Let p = -10 + u. Which is the closest to -1? (a) -0.4 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3398*f**2 - 1072*f**2 - 778*f**2 - 772*f**2 - 774*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3268822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-1872)\/455)\/(2 - (-143)\/(-91))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -687*z - 51536. Calculate v(-75).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119 divided by -46?\nAnswer: -4119\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5473 + -5471. Sort s, -109, 3, 5.\nAnswer: -109, s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2.49.\nAnswer: 4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2. Let d(i) = i**2 + i - 1. Let r(o) = 13*o**2 + 5*o - 5. Let z(v) = -10*d(v) + 2*r(v). Give u(z(j)).\nAnswer: -512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmymmmmm. Give prob of picking 1 b and 2 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l - 2. Let b(i) = -3*i**3 + 2*i**2 - 303*i - 4. What is b(r) - 2*y(r)?\nAnswer: -3*r**3 - 299*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 12*r - 206 = 0, -g = -4*r + 99 - 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 4. Let s be c(4). Suppose 2*l = 3*w - 3, s = 3*w - 4*w + 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 72*o**3*r + 2759*o**3 + 3*o**2 + 5846*r**3 + 59 with respect to r.\nAnswer: 72*o**3 + 17538*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*i - 6. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51301 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f + 26. Let m be p(6). Suppose -m*a - 306 = -77*a. Let n be -4 + ((-2)\/5 - a\/(-30)). Is n less than -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let a be (3 - 2)*-10 - -4. Let x(b) = -4*b + 6. Let g be x(a). Is n bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152144, 155145, 160146, 167147, 176148?\nAnswer: 187149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) + (-11)\/3 + 3. Let c be (2\/(-4))\/(-5*(-2)\/(-60)). Suppose -6*f = -f + 5, c*s - 2*f - 728 = u. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3\/8, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/6 - 86*x**3\/3 - 181*x**2\/2 + x + 28. Differentiate u(c) wrt c.\nAnswer: 4*c - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13817*n**2 - 80*n - 18. What is the tens digit of c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3 (b) -0.4 (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -789825.19 plus 1.486?\nAnswer: -789823.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0.5, 1.9, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19007 - 7573. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/42*2\/5)\/(2\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*g - 97*g - 16. Suppose 3*b - g*s - 1949 = -6*s, -3249 = -5*b + 4*s. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**2 - 6*x**2 - 2*x + 592 - 5*x**2 + 35*x**2 - 12*x**2 as c*x**2 + h + b*x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1100010201 (base 3) to base 8\nAnswer: 63350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43974379805*g**2 - 268213660*g - 408980 = 0. Calculate g.\nAnswer: -286\/93781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 1, f: 1, o: 2, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.011, 1, -2, 0.086, -1\/10, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 55 = -2*o. Solve -3*v + 1 - 4 = 3*p, -o = -p - 4*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22838 (base 10) to base 9.\nAnswer: -34285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 + -131 + (1 - 2) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 2. Let h(w) = -w + 1. Let o(r) = -7*h(r) - 4*p(r). Let m(g) = -4*g + 2. Determine m(a) - 3*o(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 533*t - 1625. Let p be l(3). Is p < -432\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 9*q + 5*q as y + u*q and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 4*o - 4*o + (-5 + 1 + 5)*(2*o + 2 - 2) + 5*o - 2*o - o + (3*o - 2*o - 2*o)*(-42 + 23 - 35) in the form g + m*o and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26578, 53154, 79730, 106306, 132882, 159458?\nAnswer: 186034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*(-4)\/8*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 3*z + 1 + 5*z**2 - 6 + 15. What is the tens digit of u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + 5*((-1*sqrt(152) - sqrt(152)) + sqrt(152))) - -3*sqrt(152)*-1)\/((sqrt(160)\/sqrt(4)*-5)\/(sqrt(180)*1 + sqrt(180))))**2.\nAnswer: 10944\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z. Let s(j) = -2*j**2 + j + 1. Determine 5*a(f) - 2*s(f).\nAnswer: -f**2 + 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + k - 8 - 4*k. Let x be n(8). Calculate the remainder when 57 is divided by -15*(-3 + x - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrkrkkr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 4*h**2 + 7*h + 1. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0. Suppose 0 = y + 3*y - 2*c + 150, 0 = 3*c + 9. Let z = -32 - y. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let b be t(-1). Let i(a) = 2*a**3 + a**2 - a + 3. Suppose 1066 - 1083 = 3*r + 2*o, -5*r = 4*o + 33. Let v(s) = s**2 - s. What is b*v(y) + r*i(y)?\nAnswer: -2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a3ec53 + 4?\nAnswer: 1a3ec57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 6. Calculate the lowest common multiple of v and (-6)\/2 + 2 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*n**3 - 16510 - 4*n**4 - 16505 + 2*n**4 + n + 33017 - 3*n**2 to c*n + w*n**3 + m*n**2 + p + z*n**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 2*g - 4. Let r be (-2)\/(-1) - 8\/4. Let y be w(r). Which is the nearest to 1? (a) 4\/7 (b) -2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 10*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 9*l + 4. Let g be 62*(-12)\/(-8) - (1 + 2). Let x be (-5)\/(-2)*(-252)\/g. Calculate i(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -29 + 16 + (-90 - -85)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775 and 1599175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a. Let b(p) = 17*p. Calculate b(c(d)).\nAnswer: 119*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7920 divided by 18\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -2. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111.47 and 0.3.\nAnswer: -33.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 11966?\nAnswer: -7\/5983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4830)\/(-945) + 10\/(-2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43379*h**4 + 414*h**3 + 896*h**2 - 7953*h.\nAnswer: 1041096*h + 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3823.23 + 420.63. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -3 (c) 1\/1208\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 2*i + 20 = -2*a, 0 = 3*a + 2*i - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n - 2. Let u be l(2). Suppose -2*q + 5*v = -28, -u*v + 14 = 2*q - q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*k)*(-22*k - 513 + 513) - 3 - k**2 + 3 + (4*k**2 + 3*k**2 - 3*k**2)*(-5 + 3 - 1) as t + m*k + o*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**4 - 2*s**3 - s**2 + 4*s + 4. Let t(d) = -d**4 - d**2. Let o(j) = i(j) + 2*t(j). Solve o(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m**2 - 102*m**2 - 3309*m + m**3 - 3310*m + 6619*m.\nAnswer: m**3 + 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 75. Let v = w + 22.000065. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**2 + 33*f + 13. Let d be u(5). Suppose 6*b - 5*b = 4*n + 246, b - d*n = 250. List the prime factors of b.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 10*g + 9*g**3 + 7 - 60467*g**4 - g**2 + 60464*g**4 as z*g**3 + d*g + p + s*g**2 + q*g**4 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140923491 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (55 + -61)*2*21\/(-36). Solve -h - 2*i - v = 0, -4*h - i = 3*i + 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**2 - 53 + 6*r**2 - 5 + 3*r**3 - 59 in the form t + p*r**2 + d*r + l*r**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 64 = l. Is (0 - -499)\/(10\/130) + l 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 359752912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352202 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 5*o - 6. Calculate f(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108314618\/20129195 + -6043882057976664227\/78624635670. Let r = j - -76870083. Let i = r + -80\/217. What is the common denominator of i and 133\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -310? (a) -5 (b) -1\/2 (c) -4 (d) -1 (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56 + 0.4937\nAnswer: 56.4937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6867.000021524 + 6867. Round s to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/1)\/(9 - 2028\/224). Let j = t + -53. Solve -3*v + v - 17 = j*c, -2*c - 4*v - 22 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4\/67, 3\/7, -1\/26, 0.4 in ascending order.\nAnswer: -4\/67, -1\/26, 0.2, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 172*d**3 - 948*d**2 - 612*d + 1728.\nAnswer: 4*(d - 48)*(d - 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 15*t**2 - 43 - 20*t**2 - 149 - 144*t - 31*t**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/52326501 and -5\/27.\nAnswer: 470938509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let t(d) = 3*d**3 - 3. Let o be 2\/5 - 6\/(-10). Let w(c) = o*t(c) - 3*i(c). What is the second derivative of w(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10*((-9)\/18)\/((-3)\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 - 137. Suppose 4*z - 38645 = -d, -u*z + 38648 = 10*d - 6*d. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - w**2 + 0*w + (0*w - 2*w + w)*(-1 + 1 - 2*w) - w**2 + w**2 - 2*w**2 - 24 - w + 44 - 28 + 2*w**2.\nAnswer: w**2 - w - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.24 times -44?\nAnswer: 17962.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 - 10*j - 35. Determine q(-6).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2 = -v, -9*y + 5*y = v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.42509 milligrams in grams?\nAnswer: 0.06542509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*n - 24, -4*r = 23*n - 19*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = -4*n + 4935, 4*n = 0. Let f = 922 - 903. What is the remainder when b is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 + 5*f**2 - 2*f**2)*(-1 - 1 - 3) as n + h*f**2 + z*f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(30\/(-172)). Let y = l - 18\/5. Sort 1, 3\/4, y in increasing order.\nAnswer: y, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/20 and (-683)\/380 + (-15)\/(-10).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmwosmmwwjmm. Give prob of picking 2 w and 1 r.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -6557.8.\nAnswer: -26231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.34 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 2:17 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278765153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -14. What is the third derivative of -16*s**2 - 7*s**3 + 8*s**h + 5*s**2 wrt s?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 280648\/27 - 10393. Find the common denominator of 52\/9 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.111 - 0.389. Which is the second smallest value? (a) 0.09 (b) s (c) -1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/105 + 1370987\/70. Let v = q + -19594. Find the common denominator of v and -29\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436722 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18833, -19141, -19977, -21605, -24289?\nAnswer: -28293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(6\/1023) + 6\/(-4). Let z = q + -76. What are the prime factors of z?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 10 (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-3 - -3)*(-104)\/(-208).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-36 - (34 + -60))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 16*s - 7665 = -5*b, 4*s - 4567 = -3*b. Does 53 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755335 and 245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 130*t**2 - 33476*t - 1167480 = 0. What is t?\nAnswer: -94, -46, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*r - 286*r**3 + r**4 + 286*r**3 to the form u*r**2 + h + w*r + k*r**3 + s*r**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4773 by -3.\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - 0)*-3. Let x(d) = -d**2 - 7*d + 1. Let n be x(-7). Suppose -b*j = 8 + n. Let l(t) = -t**2 - t + 2. What is l(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2249676 and 75240.\nAnswer: 22496760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644 by -3.\nAnswer: -644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1022000120?\nAnswer: -1022000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-14\/3)\/j)\/j)\/j**(-1\/12)*j**32\/j**(-9) assuming j is positive.\nAnswer: j**(425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 68. Let r(b) = -38*b - 3. Is r(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - x**2 + 47 - 3*x - 43 as i*x**2 + f*x + b and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 5. Suppose -4*m + 26 = -2*h, -2*m = 2*h + 10 - 2. Let p be z(h). Calculate the greatest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 - -0.05. Let d = -1\/2037 - 6109\/4074. Which is the closest to d? (a) -1\/4 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - 2 - (169 - 1011) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1332874 and 0.4.\nAnswer: 1332874.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -67+-48.22597\nAnswer: -115.22597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/22045? (a) -12 (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -35. Suppose c - 19 = f. Let d = -22 + c. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 8 - 50 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4254*r**2 - 2206*r**2 - 2148*r**2 - 2145*r**2 + 2247*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, -0.3, -110, -3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 11. Let b be d(-6). Let m(u) = -u**2 - 7*u - 6. Let h be m(b). Suppose -4*j + 5*i - 2 = -47, -4*j = h*i - 36. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 19*m**4\/4 - 15*m**2\/2 - 7*m + 2658. Let q(f) = 5*f**3 - 4*f - 2. Determine 6*g(c) - 22*q(c).\nAnswer: 4*c**3 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 458870472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.8071 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f - 3*f)*(f**2 + f**2 - 4*f**2) - 5*f**3 - f**3 + 3*f**3 + 850*f**3 + 354*f**3 - 162*f**3.\nAnswer: 1043*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/6113 + -886373\/36678. What is the common denominator of -137\/18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**5\/5 + 7*t**4\/2 + 6*t**3 - 7*t**2 - 16*t + 1296. Factor f(x).\nAnswer: -2*(x - 8)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27273, 54546, 81819, 109092, 136365?\nAnswer: 163638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 567*v**2 + 2269*v\/4.\nAnswer: -v*(v - 2269)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -67. Suppose j + 36 = f*j. Solve -2*d = -y, -j*y - d = -6*d - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-302)\/(-19026))\/(4\/(-12)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 17*b - 29*b - 19*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 9*u**4\/2 + 4*u**3\/3 - u**2 - 7*u - 22. Is r(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1840 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Suppose -3*t + 2*r + 15 = 0, -4*t - r - 3*r = 0. Suppose 0 = t*f + f + 8. Let q be f\/4 - 2\/4. Calculate j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6287270?\nAnswer: 2, 5, 11, 61, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15891 + 15876. Put z, 1\/35, -5 in ascending order.\nAnswer: z, -5, 1\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1875 + -41271\/22. What is the common denominator of 2\/6 - (-879)\/90 and j?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 2. Let s(z) = 16*z + 11. Let w(p) = -2*s(p) + 11*u(p). Calculate the remainder when 45 is divided by w(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(-5 + (-5*(sqrt(891) - (1 + sqrt(891))))**2).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 77. Let w be f(15). Sort -9, -5, w in increasing order.\nAnswer: -9, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 20 = -2*a + 19*t, 0 = a + 5*t - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3237 minus 0.4?\nAnswer: -0.7237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24126276 divided by -211634?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1624764 by 4.\nAnswer: -406191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 18*b + 52. Calculate l(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(sqrt(637) + sqrt(637) + 2 - sqrt(637)) + 1) + (sqrt(637)*-3 + -2 - -4*(3 + sqrt(637))))**2.\nAnswer: 5474*sqrt(13) + 184622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 2*o**4 - 24 - 2*o**3 - o + 0*o + 3*o**3 as l*o**4 + s*o**2 + b*o + j + p*o**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-15 + 27 + -21 + 67)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = -5*w, 2*z + 3*w - 5*w - 8 = 0. What is the lowest common multiple of z and 3230?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422493316.\nAnswer: 2, 7, 17, 53, 16747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4853 + 4960. What is the remainder when d is divided by ((-16)\/(-3))\/(4\/42)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5755 + 4*a + 5738 - 17273 + 5756.\nAnswer: 4*a - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 + 87 = -4*k. Solve -w - 3*w + k = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18))\/((-4)\/(-12)) + 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3050 divide 47076641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8200397548?\nAnswer: 2, 7, 1579, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1327823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -13*m**7\/210 + 2*m**3\/3 + 17*m**2. Find the first derivative of n(l) wrt l.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8 and 59\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) - 418\/(-12). Let w(b) = 3*b**2 - 3*b - 4. Let n be w(3). What is the greatest common divisor of r and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -2*u - 1\/6*u**3 + 0 + 1\/2*u**2. What is the derivative of f(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -301.\nAnswer: -301, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123664, 247328, 370992, 494656, 618320?\nAnswer: 741984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.81 + -7. Let n = 9.81 - t. Which is bigger: -2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 8*g - 4995 = 0. Let z be (-2 + 182)*(g + 1). What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 29*c + 252 = 0. What is the lowest common multiple of c and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 + 0*d**2 - 2*d**2 - 9*d**3 - 4*d**2 wrt d?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, t: 3, o: 2, v: 13}. What is prob of picking 1 v and 1 t?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 334 - 156. Suppose 3*b + w - 170 = 0, 3*w + 15 = -4*b + g. Calculate the highest common factor of 140 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Let u = 4 - l. Suppose -6*h + 4*v + 48 = -4*h, u = -4*h + 3*v + 76. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-4)*x)\/x)*(x**(1\/14)\/x)\/x)\/(x\/((x*x*x**0)\/x))**(-34) assuming x is positive.\nAnswer: x**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.708811 centuries in months?\nAnswer: 3250.5732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/(-33) - (-1259840)\/96.\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) + sqrt(640)*-2)\/sqrt(5).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*z + 1 - 3 = -222*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*2*sqrt(136)*-6)\/(sqrt(48)\/sqrt(54) - -1*sqrt(512)).\nAnswer: 72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 232, -30, -2, 1, -4, 5 in ascending order.\nAnswer: -30, -4, -3, -2, 1, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**3 + 27*t**3 + 5*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4 + -63*161\/(-3726). Sort 0, p, -1\/5, -1, -2\/17 in descending order.\nAnswer: p, 0, -2\/17, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5.3, -2.4, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.52183 + 4.52183. Let n = -6.3 - -4. Let o = -4 + 3.7. Which is the third smallest value? (a) j (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12348181*c**2*r + 95410*r - 24 wrt c?\nAnswer: 24696362*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 2. Let v(q) = q**3 - 2*q**2 - q. Let z(n) = 3*n**3 - 4*n**2 - 3*n. Let o(d) = -5*v(d) + 2*z(d). Let t be o(-2). Suppose t*g = -g. What is k(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/32*5*(-4)\/(-60)*-18\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42\/25 (b) -2 (c) -22 (d) -10 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 7 = 5*i, -4*b = -5*i - 8 - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58715 + -29042. What is d rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9921, -5 in decreasing order.\nAnswer: 0, -5, -9921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -54067 + -0.278744\nAnswer: -54067.278744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.1180093 take away -3?\nAnswer: -147.1180093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2041*f**2*k**2*x**3 - 111*f**2*k**2*y**3 - 3*f*k**2 - 1537*f*k*x**3*y**3 - 40*f*x**3*y - 3*k**2*x**3*y**2 wrt f?\nAnswer: 4082*k**2*x**3 - 222*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1057 + 1060. Suppose a - 8 = -3*a. Solve f = -a*r - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1036*f**2*j**2 + 126*f**2*j - f*j - 10043911*j**2 wrt f.\nAnswer: -2072*f*j**2 + 252*f*j - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206541 (base 7) to base 12.\nAnswer: -18976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2332389367 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8444590147 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000101001 (base 2) to base 3.\nAnswer: 111101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(1*5528\/12 + 4)?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1054534 + -1044?\nAnswer: 1053470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.992?\nAnswer: -1.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*p**2 - 219160*p + 219160*p.\nAnswer: -589*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00960202 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 26*g - 20. Let t be y(12). Let r = t - -175. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -3. Suppose -7 = 4*q - 15. Let o = 1 - -2. Put l, o, q in descending order.\nAnswer: o, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496 + 2077. Is 31 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -61. Let b = -97.4 - j. What is the closest to 0 in 1.3, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 432?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*x**3 - 90*x**3 - 77*x**3 - 66*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)\/(y*(y**(-1\/2)*y)\/y))\/(y**2\/y**0)*((y**(-2\/5))**(9\/5))**(2\/75) assuming y is positive.\nAnswer: y**(-38437\/16250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 490140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/11 - 12*j**2\/11 - 27*j\/11.\nAnswer: -j*(j + 3)*(j + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d4 - -24?\nAnswer: -6b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 78*z**2 - 508*z - 178. Determine l(-84).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:05 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/60 + d**4\/6 - d**3 - 24*d**2. Calculate q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09058*-34294\nAnswer: 3106.35052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319826*y**3 + 348642*y**2?\nAnswer: -1918956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-2*1.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4824, 10093, 15360, 20625, 25888, 31149?\n\"Answer: -x**2 + 5272*x - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -1\/2, 2, 0.9, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 16) in base 6?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 - -2.8. What is the nearest to m in -2, -7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 42880, -28 in descending order.\nAnswer: 42880, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014874, 1014861, 1014826, 1014757, 1014642, 1014469, 1014226?\nAnswer: 1013901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32417081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16786448 and 22370.\nAnswer: 83932240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1349 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 77\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*y**2 + 0*y - y + 84*y**2 + 5*y**2 to the form q + k*y**2 + d*y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 1:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373720 - 11470 = 13*u. Let w = u - -50269. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -5\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3557 - 556. Let q be 1\/(-4) + 169\/52. Suppose -368 = -q*l + s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437979478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10588099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007248 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 2288?\nAnswer: -2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 559, 831, 1095, 1351, 1599, 1839?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001110010101101 (base 2) in base 13?\nAnswer: 190955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.58\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -12*h - 2*h**2 + 2*h**3 + 2 + 16*h + 8*h**2 + 0*h**2. Let i(b) = b**3 + 5*b**2 + 4*b + 3. Let m(d) = -2*i(d) + 3*q(d). Solve m(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - a)*(3*a**2 + 2*a**2 + 2*a**2)*(-6 + a**2 + 6).\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132044 + -57091. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*m + 32*f*m**3 + 35*m**3 wrt f.\nAnswer: -4*f*m + 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + 0 - (861 + -830) - -51?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and -29\/651?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11230*z - 3039. Is m(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*d + 3*d. Suppose 2*h + 12 + 4 = 0. Let z = d + h. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 - 190*l = 0.\nAnswer: 0, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 2\/5, -112\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -3\/2, -3\/7, 0.336?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24823 - -13913. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {x: 3, r: 3, j: 6, l: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/7, 20, 3, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1079 + -1091.33. Round v to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = 43*i + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d2b6 (base 15) to base 10.\nAnswer: 95121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 2.389.\nAnswer: 86.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/12 and 39\/446?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471840201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 1.3.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4147, 11853, 24661, 42571?\nAnswer: 65583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13914 and 101\/36.\nAnswer: 27828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**4 + 8*q**4 - 4*q**4 + (9*q**3 - 2*q**3 - 6*q**3)*(-2*q + 1 - 1)*(-5 + 2 + 5)*(3 + 3 - 4).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**17*h**4\/h*h*h)\/(h**(-4\/17))**(-1\/55) assuming h is positive.\nAnswer: h**(-10289\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 3*f**2 - 2*f - 3. Let i be x(-3). Let r be (i\/(-100))\/(12\/10). Let p = -0.99 - 0.01. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/380 - 787\/1140. Sort s, 0, 0.2, 1 in descending order.\nAnswer: 1, 0.2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let g be 1*z + (1 - 0). Suppose -i - i - 3*p + 20 = 0, 0 = -5*i - 5*p + 40. Solve 0 = -c - g*u - 16, -u + 16 = c + i*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 5*b - 4. Let u be y(3). Let z(h) = h**2 - 2*h + 2. Determine z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*((-4 - -1) + 1). Let g(d) = d**3 - 14*d**2 + 26*d - 3. Let j be g(u). Find the first derivative of -5 - 4*f + j*f - 5*f wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 598 and 40692 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186553, -186551, -186549, -186547, -186545, -186543?\n\"Answer: 2*d - 186555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31804, 31758, 31686, 31588, 31464?\nAnswer: 31314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46868 (base 9) to base 4\nAnswer: 13221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 + (-8)\/288\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 2. Let u be g(2). Suppose u - 5 = -j. Which is smaller: j or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.31 + -0.41. Which is the closest to p? (a) 1\/7 (b) 4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, g: 1, z: 3}. What is prob of picking 1 r and 1 z?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:03 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 67, 106, 141, 172?\n\"Answer: -2*q**2 + 49*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-64)\/(-30) + -2 - 81\/(-405). What is the nearest to 1\/3 in -4, -10, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 6*k - 22. Let f = 41 - 39. Suppose 4*q = f*w - 11 - 3, 4*q = -4*w + 40. What is the units digit of c(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 3*i - 82, 2*c - 192 = i. What is the least common multiple of 18 and c?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*s + 22 = -1749*s + 3497*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -758906.\nAnswer: -758905.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12194868737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140594913 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28900 + -28900.026774. Round d to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906411271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 - 5*x**2 + 21*x - 3. Let z(p) = 17*p**3 + 16*p**2 - 64*p + 11. Let f(q) = 7*r(q) + 2*z(q). What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26005617 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/27 in 3\/2, -3.6, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/9 - -29\/63. Let g = 0.452 - -0.048. Sort 2\/9, g, -3, r in descending order.\nAnswer: g, 2\/9, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:36 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 129.7575. Let g = -0.0335 + i. Let q = g + 1.531. What is q rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865 = -36*v + 713 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64\/(-6)*(-90)\/40. Solve 0 = -0*x - 4*x - g + z, -35 = -3*x - 5*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*r + 73332 = 3784*r + 28490 - 62741 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 8*j**2 + 27156*j + 190848. Calculate a(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -101321\/106 > -957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.44, 2, 0, 1.7?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 7:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 28*s**2 + 1919*s + 10449. What is z(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7220 and 6460?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438600 by 340.\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9940811 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnfwnwwjkknvjwwfkn. What is prob of sequence ffw?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15752, -62964, -141650, -251810, -393444?\n\"Answer: -15737*r**2 - r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v\/(v\/((v*v\/v**0)\/v)))\/v)**(-46)*v**4*v*v**(3\/7)*v)\/((v**(-2\/7))**(-2\/81)\/(v**(-2\/7)\/((v\/v**(-7))\/v))) assuming v is positive.\nAnswer: v**(-7522\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83691 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 5:45 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (sqrt(384)*2 - sqrt(384)))*3 + sqrt(384))\/(sqrt(192) - 1*-3*sqrt(192)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/2)\/(238\/(-476))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:39 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1710, 6852, 15446, 27498, 43014?\n\"Answer: n**3 + 1720*n**2 - 25*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26151810 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21 and -2\/1239.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + 3*b**2 - 4*b**2)*(-1 + 1 - 1)*(2 + 4 - 4)*(-1 + 4 - 4).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -410, -422, -442, -470, -506, -550, -602?\n\"Answer: -4*p**2 - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4966*q**5 - 2208*q**4 - 3*q**3 + 449687182*q**2.\nAnswer: 297960*q**2 - 52992*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863321 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(52)\/(sqrt(36)*-4) + 1 + sqrt(832) + -1).\nAnswer: 95*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*l - 22, -5*i + 85 = 5*l - 0*l. Suppose 3*f - 120173 = -i*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*k - 2*k - 3*q, 5*q - 7 = -2*k. Suppose k*b = -9*b + 75. Let p(h) = h - 2. Calculate the remainder when b is divided by p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1040304 - 23?\nAnswer: 1040231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*l - 6009 = 6444 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412062735 to the nearest integer?\nAnswer: 20299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9051.\nAnswer: 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61437007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h - 2. Let v be a(4). Suppose 13*q = -2*q - 3660. Let d = q - -202. Is v < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzo when four letters picked without replacement from ztpzytzozotzzyoo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/6 - 4960*t. Let q(i) = 4565*i**2. Give q(r(n)).\nAnswer: 4565*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -0*x, 10*m - 2*x - 11 = -m - 0*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 36 = -2*z. Let p = -34 - z. Solve -3*x = -3*j + p*x + 28, 5*j = -x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*m**4 - 3 + (-m + 0*m + 2*m)*(-m**3 + 4*m**2 - 4*m**2))*(72441*m - 36322*m - 36521*m).\nAnswer: 1206*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**4\/6 + 5*l**2. Let y(b) = -2*b. Determine y(h(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749061?\nAnswer: 1181, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 4 = 3*r. Let u be r\/10 + (-1)\/(-5). Suppose -u = 5*z - 2*z. Are -3\/2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(((a*a*(a\/(a*(a*a\/(a\/(a\/(a**5*a))))\/a))\/a)\/a)\/a)\/a)\/(a*a*a*a**(-5)))\/(a**0*a*a\/a**(-7)*a) assuming a is positive.\nAnswer: a**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g**(4\/3))\/(g**(1\/16))**(-1\/8) assuming g is positive.\nAnswer: g**(2563\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7659615, -7659612, -7659609?\n\"Answer: 3*g - 7659618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-21 + 12 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + 0 + -2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 5*b**2 - 3*b. Determine z(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 15) in base 11?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + u + 18, 2*o + u = 2 + 8. Let s(t) = -3*t - 3. Suppose -9 + 23 = c. Let z be (1 + -4)*c\/(-3). Let n(d) = 10*d + 10. Determine o*n(r) + z*s(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -11. Let r(j) = -9*j - 17. Let k(i) = -3*i - 6. Let y(u) = x*r(u) + 17*k(u). Determine y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/189*(-73 + 89 + -13).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 44 = 5*z - 1, 4*z - 16 = 0. Let v = 671 - 671. Suppose v = -3*p + 8*p + 15, -g*p = -3*y + 69. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 3\/20 (c) 44\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -34504.\nAnswer: -34504.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370413 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.743902l?\nAnswer: 3743.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 35*i + 254 = 11*i - 226 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -208\/512535 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2\/11, -32, -4 in descending order.\nAnswer: 2\/5, 2\/11, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/213, -2\/7, -3\/529, -5, -4 in decreasing order.\nAnswer: 2\/213, -3\/529, -2\/7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 - p - 15*p**2 + p.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018477 to four decimal places.\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, -132, -3 in descending order.\nAnswer: 429, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 823 - 822. Let w = -0.74 + 1.14. What is the second biggest value in w, -2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0*p - p - p)*(-3*p + 2*p + 0*p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429807918 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -24 + (25 - (3 - (-4 - -6)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/11))**(-14\/9) assuming l is positive.\nAnswer: l**(-196\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 22, 47, 92, 163, 266, 407, 592?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 + k. Let n be a(2). Let r(m) = 26*m + 3*m**2 - 13*m**n - 15 + 9*m**2. Does 30 divide r(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - sqrt(1500))*-1)\/(sqrt(36)\/(3*sqrt(3)))*3.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.9704 - 0.8286. Let v = 0.099 + h. Let q = 6.7000132 + v. What is q rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3242 is divided by 1620.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 1. Let m = 4 + -6. Is s(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 + 3*t**2)*(-2843 + 575*t + 2843).\nAnswer: 2875*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q - 824129 + 821765 + 3*q + 1062*q**2 wrt q.\nAnswer: 2124*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 - 119. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 1:32 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741928 is divided by 2822?\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 17*v - 54. Let l be i(15). Let d be (-478)\/(-10)*140\/l. Which is bigger: -79 or d?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303497?\nAnswer: 303497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = 21*u - 9*u. Let d be ((-1)\/2)\/((u\/(-24))\/(-13)). Solve -2*c = -c - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 4*k + 4*d - 16 = 0, 36*k + 102 = -677*d + 687*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 13*h - 15. Let q(z) = 7*z - 8. Let i(r) = 6*f(r) - 11*q(r). Calculate i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 1 = 0. Let i = 25357.08 - 25357. Which is the nearest to 2\/3? (a) -2\/3 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 38, 58, 78, 98, 118?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**0)\/o)\/((o\/(o*o**4\/o*o))\/o))\/((o*o**(2\/31))\/(((o*o\/(o\/o**(-7)))\/o)\/o)))**(-49) assuming o is positive.\nAnswer: o**(6174\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22538 = m + 29673. Let g = m - -107249. Let x = 205038 - g. What is x rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5541 - -5539. What is the nearest to r in -4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0, 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -17469 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2875023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*d**2 - 5 - 10*d - 330*d**2 + 8*d + 4 + 325*d**2.\nAnswer: -578*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 22829, 297 in decreasing order.\nAnswer: 22829, 297, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*r**3 + 93*r**3 - 52*r**2 - 10*r**2 + 131*r**3 - r as g + x*r + a*r**3 + s*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 110721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*j + 71 = 0, 8*v = 4*v + 5*j + 43. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 + 24*v + 14. Calculate the remainder when b(0) is divided by 0 + (-1 + 8 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Suppose -5*b - o = -2*c, -3*c + 10 - 1 = 0. Solve b = 4*n - 3*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/(q**(-1\/3)*q))\/q*q)\/q)*q**(-2\/17))\/(q**(1\/7))**(15\/7) assuming q is positive.\nAnswer: q**(3106\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -148\/9 (b) 7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 784031.\nAnswer: 156806.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjdydydydwyyddyyyjy. Give prob of sequence dkwd.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1004, 998, 968, 902, 788, 614?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooioiiiuev. What is prob of sequence iou?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 400 = 4*j. Suppose -4*w + 0*w = -j. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -20*d**3 - 1. Let q be s(-1). Suppose 195 = -m - 107. Let i = -131 - m. What is the highest common divisor of q and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 1069.\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 78. Let z(h) = 4*h**2 + 2*h - 31. Let j be z(0). Let i be q(j). Calculate the greatest common divisor of i and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 72 = 3*v, -120 = -5*v + 4*t - 3*t. Suppose 2*a = -0*a + v. Suppose -2 + a = 5*q. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 c when four letters picked without replacement from {v: 4, d: 5, c: 4, n: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = -3*n, 4*n + 2*h = h + 16. Suppose 0 = -g - 5*f - 8 - 9, 5*g = -n*f - 1. Suppose 12 = 4*a + 4*c, -5*a - 3*c - 3 = -4*c. Is g smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 930.478 to the nearest 10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -353682867 from -23196.\nAnswer: 353659671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/28336? (a) 3 (b) -4\/3 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 3. Let u = 5 - n. Let m be 4 + 0 - (u - -7). Solve -3*y - 5*z = 20, -2*y + 0*z - 8 = -m*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 307951 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, -0.2, -38 in ascending order.\nAnswer: -38, -3\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3723 is divided by 1161?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a**2 + 63*a**2 - 113*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*(-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**6\/720 - y**5\/90 - y**4\/36 + 107*y**2 - 33. Let z(g) be the second derivative of p(g). Determine r so that z(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 15 = -5*n + 5*c, -11 = 2*n + c. Let w(l) = -l - 9. Let q be w(n). Put q, -2, -5 in ascending order.\nAnswer: -5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 1\/6*z**6 + 0*z**2 + 0*z + 3\/5*z**5 + 2 + 1\/2*z**4 + 0*z**3. Determine f so that n(f) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + s = -10 - 10, t - 5*s = 5. Suppose 3*f - 131 = -2*l, -5*l + 360 = t*f + 45. What is the derivative of -29 + 5 - 6*w**4 + l wrt w?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-32 - (-27 - 3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 10*j - 1. Give m(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-96)*3)\/((-39)\/(-39)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 - 2*7524\/(-165). Solve 97 + j = -47*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j**2 - 2*j**3 + 71*j**2 + 11*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from wttyzttztwt?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*v - 30 = 0, 0 = -l + v - 4*v - 18. Let h = l - -1. Is 6 a factor of ((-10)\/h)\/(5\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1738, 13744, 46332, 109792, 214414?\n\"Answer: 1715*c**3 + c**2 - 2*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*o + 5. Suppose 2*z = -o*z + 40. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:37 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 8*t - 9. Let g be q(-6). Suppose -g*f = -5*d + 1205, -f + 2*d - 395 = -d. What is f rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3690 + -3679. What is the second smallest value in j, 1, 83?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87146141, 87146144, 87146147, 87146150, 87146153, 87146156?\nAnswer: 87146159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -135*o + 137. Calculate the remainder when 257 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -30618678288837\nAnswer: -30618678288839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Let b(j) = 3 - 9*j + j**2 + 1 + 5. Let d be b(8). What is the highest common divisor of h and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/3 - 5*f**3\/6 - 31*f**2 + f. Let k(x) = -23*x + 14. Suppose -d = -6 - 0. What is d*k(i) + 17*s(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/99? (a) 5 (b) 0.4 (c) 1 (d) -0.5 (e) -1136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/19? (a) 3 (b) -4 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/12 - 3*x**2\/2 - 2*x. Let r = 16 + -5. Suppose -5*q - 4 = r. Determine o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v + 28. Suppose 4*i + 0*i - 8 = 0. Suppose i*s - 17 = f + 11, 0 = 5*f. Calculate the greatest common factor of v and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077437?\nAnswer: 29, 53, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, m: 1, g: 4}. What is prob of picking 1 f and 3 g?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(396) + 2 + sqrt(396) + -4))**2 + 5*(sqrt(396) + ((sqrt(396)*-2)**2 - sqrt(396))*1).\nAnswer: -48*sqrt(11) + 9508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 i when four letters picked without replacement from {y: 7, i: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -102. Let p(k) = -8*k**2 + 3*k - 7. Let z(m) = m**2 + 1. Determine l*p(s) - 6*z(s).\nAnswer: 2*s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 1 - 1. Suppose -7*c = -t*c + 63. Let s(b) = b**2 - b - 11. List the prime factors of s(c).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-764 - 789 - 412 - 395)*(-7*g + 7*g - 3*g**3).\nAnswer: 7080*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 - 36. Round m to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v + 4*m, -2*v + 200*m + 4 = 198*m. Suppose 3*u + 4 = -y, 0*y - y - 4 = -u. Solve -v*n - n + 12 = u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -47667116150\nAnswer: 47667116149.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -12.43 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 11. Let d be k(6). Let z = -15 + d. Solve -h + 0 = -z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -323927332886.\nAnswer: -323927332885.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -876 (b) -2\/7 (c) -2\/3 (d) 111\/7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(228) + (-4*sqrt(228) - sqrt(228)) + sqrt(228)))\/sqrt(4))\/(2*sqrt(300) + sqrt(3) - 1*sqrt(48)) + -2.\nAnswer: -2 + 9*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42162288 and 1575028?\nAnswer: 548109744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from fdcdzdfdffffdhwfffhf?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6154921278?\nAnswer: 2, 3, 11, 2825951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1373, -2729, -4085, -5441?\nAnswer: -6797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*m = -572*m - 628*m + 2688 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3186 + 64791396993.\nAnswer: 64791393807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffzzf. What is prob of picking 2 z and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20494*u + 39 = -20493*u + 4*a, a = -5*u + 119 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 + 11*i**2 - 23*i**2 + 2*i**3 + 15*i**2 to the form y*i**4 + g*i**3 + w*i + l + z*i**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/7*(-2)\/(-6)*-1)\/((-1)\/13).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1512 and (-245)\/50 - -2 - (-6)\/8*-2.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 166, 565, 1342, 2623, 4534, 7201?\n\"Answer: 21*l**3 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 294?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8174258 + -5?\nAnswer: -8174264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*21\/(105\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*b = 2 - 11, -11 = -3*q + 4*b. Suppose q + 4 = n. Suppose 0*p + 204 = 4*p - 5*h, -n*p = -h - 255. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 62.046 and -51135210.\nAnswer: -51135147.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/(-8)*13\/65.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, -y - 66 = -2*p - 1269. What is the highest common factor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59227864543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by 1.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/1407 + (0 - 460\/42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2311\/3 + 771. Factor -2\/3*h**5 - v*h + 4\/3*h**2 - 2\/3*h**4 - 2\/3 + 4\/3*h**3.\nAnswer: -2*(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316825608 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:24 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15796 - 46224 = 4*j. Let b = -9726 - j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 53116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 3*l. Let q(w) be the first derivative of w**2\/2 + 10*w - 5. What is the remainder when q(6) is divided by c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13)*798\/(-266).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = 0. Let w = k + 3. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + 2 - 4*q**2 - 4*q**2)*(-2 - 12 + 9).\nAnswer: 10*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 1, b: 1, w: 2, y: 1, q: 2}. What is prob of picking 2 h, 1 y, and 1 b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15.9787 * -0.4\nAnswer: -6.39148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2699*w - 2699*w + 26*w**3.\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -1\/3*o**3 - 1\/20*o**5 + 0*o**2 + 0*o - 1\/180*o**6 + 0*o**4 + 2. Let y(c) be the third derivative of i(c). Factor y(p).\nAnswer: -2*p*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 0*l - 35 + 2*l.\nAnswer: -l - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*d*p**2 + 2*d*p + 29*d - 41307*p**2 with respect to d.\nAnswer: -34*p**2 + 2*p + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 0 = s + 2*s - 471. Let y = 1411\/9 - s. Which is the nearest to -2? (a) k (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481839 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d + 8. Suppose 2*c - d = c. Suppose -3*u + c*b - 1 = 9, -4*u - 3*b = -15. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/31)\/(g\/(g**(-13\/2)*g)*g)*(g*g**(-2\/3))\/(g**(-16\/7)\/g))**(9\/5) assuming g is positive.\nAnswer: g**(-14781\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16616*x + 252244 + 137005 = -1072172 + 98909 for x.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 3*w + 2*w)*(-2 + 0 + 1)*(500*w + 1713*w + 6980*w) to the form o*w**2 + f*w + z and give o.\nAnswer: -18386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:43 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 6*h + 3. Let f be v(-4). Let l = -28 - f. What is the highest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-4)\/54)\/(6\/(-9)). What is the biggest value in -2\/45, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 - 7*w**3\/2 - 5*w**2\/2 + 14*w. What is the tens digit of q(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-2 - -2)) + -4. Let d = -4 - t. Let x(u) be the second derivative of -u**5\/4 - u**4\/12 - u**3\/6 + u - 2. Give x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705 and 4116965?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 22*m - 172. Let q be u(8). Let v(o) = 12*o**2 + q*o**2 - 5*o**2 - o**2 + 2*o. What is v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2 + 4*d + 6. Let z(m) = m + 1. Let w = -546 - -550. Give w*z(i) - v(i).\nAnswer: -8*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -524060 > -524059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -2\/3*i**3 + 12*i**2 - 22*i - 20. Let j be b(11). Solve m + 2*m = j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8978 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*n - 43, -4*q - 5*n + 33 = -2*n. Let g = q - 7. Suppose i = g*i - 12. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y**2. Let a(v) = 13*v. Let p(j) = -261*j. Let c be -10*(-7)\/525 - (-124)\/(-30). Let t(u) = c*p(u) - 81*a(u). Give t(w(z)).\nAnswer: -189*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/419 at most as big as -2\/4779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214154?\nAnswer: 2, 107077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48, -70, -92, -114, -136?\n\"Answer: -22*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*y + 24 = 0, 0 = -81*o + 86*o + 5*y + 120 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-45)\/6)\/((-6)\/40) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7239257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10088 divided by 8.\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 + 0*m**2 + 2*m**2 + 2*m**2 - 6*m**3 to t*m**2 + c + b*m**3 + a*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2948 + -2112. Round l to the nearest one hundred.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 211?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4 + 3261*h**2 - 2335*h + 14116597?\nAnswer: 4*h**3 + 6522*h - 2335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/3)*g*g)**(-13\/3))**18 assuming g is positive.\nAnswer: g**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906 take away -10401.6394?\nAnswer: 8495.6394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:41 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51424 (base 8) to base 12\nAnswer: -10384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 219712 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -3023?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 30 = -2*i. Suppose 18*n = 26*n + 312. Let r(y) = -7*y**2 - 13*y. Let l(c) = c**2 + 2*c. What is i*r(x) + n*l(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + -1 + 248. Let j = v + -138. Let h = -71 + j. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/8, -1\/2, -1.7, 4, 2 in descending order.\nAnswer: 4, 2, 3\/8, 0.1, -1\/2, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29894336?\nAnswer: 2, 167, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.974 and 8.\nAnswer: 8.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -i - 4, -2*i + 3*w + 53 = 43 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3060, -6140, -9242, -12366, -15512?\n\"Answer: -11*g**2 - 3047*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/21 - 4\/(-14). Suppose 3*w - 6 = -0. Suppose -w*m = m. Solve 4*g + 16 = -3*j, m*g + x*g + 2*j + 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 26 = -30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33380789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4109618*y*z**2 + 526*z**2 - 216*z - 1 with respect to y.\nAnswer: 4109618*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -908.765667 to the nearest 10.\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 36. Suppose 2*a = -l*a + f + 612, 0 = 4*a - 5*f - 596. Suppose -2*x + 32 + a = 0. Calculate the remainder when x is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 14. Differentiate 5*h**w + 0*h**4 - 3 + 0*h**4 - 3 with respect to h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41225 and 720613?\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*40\/(-330). Put s, -2, 1 in decreasing order.\nAnswer: 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589\/2 + 295. Let j = -5\/41 + 127\/369. Suppose 0*i + 3*i + 12 = 0. Put i, r, j in ascending order.\nAnswer: i, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -62. What is the remainder when o is divided by (-2)\/(-9) - (-124)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/232*(-53 + -150)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(23\/115). What is the hundreds digit of 129*-2*u\/4*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 r, and 1 j when four letters picked without replacement from rrjkrwa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2755379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2727.1 to the nearest 10.\nAnswer: -2730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 105, 87, 51, -9?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/13, 8, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4.05 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3 + 0 + 52*m**3 - 42*m**3 - 10.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02966 - -2431.02966. Let z = k + -2430.9. Let s be 1\/(-2)*2\/3. Sort 1\/6, z, s in increasing order.\nAnswer: s, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 13. Let v(j) = -9*j**2 + j + 4*j - 6*j + 1. What is v(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 4, l: 7, j: 1, g: 1, d: 4}. What is prob of sequence vlv?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 2500*j**2 + 46128*j + 43632.\nAnswer: 4*(j + 1)*(j + 18)*(j + 606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a8 (base 16) in base 12?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1009 greater than -1.557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 497552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/6 - 1130*y\/3 - 127690\/3.\nAnswer: -5*(y + 226)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 95*k**4\/6 - 9*k + 12. Let f(a) = -a**2. Give f(b(u)).\nAnswer: -36100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + s - 11. What is l(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 80 and 103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 15*s - 16)*(4 + 0 - 6)*(-81*s + 11564 - 11564).\nAnswer: 2430*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 divided by -12?\nAnswer: -2579\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*y - 300 + 360 = 2*p + 6*y, 26*p - 780 = 4*y for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 1. Let n(b) be the second derivative of 5\/2*b**2 + 19*b + 7\/12*b**4 - 7\/20*b**5 + 1\/6*b**3 + 0. Calculate -n(q) - 5*o(q).\nAnswer: 2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12634056*o**5 - 473622*o**2 - o wrt o.\nAnswer: 758043360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Solve 2*l - j = -2*q, 1 = -3*l + 2*q - q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2)*(-1)\/9. Let x = -16.4 + 16.4. Which is the nearest to x? (a) -1\/4 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013303806501 rounded to six dps?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/5 - 452*s\/5 = 0.\nAnswer: -452, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 962 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008697527458 rounded to seven dps?\nAnswer: 0.0008698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 + 2. Differentiate 80 + 9*t**2 - 4*t**2 - 37*t**n + 12 with respect to t.\nAnswer: -64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.24 + -224.24. Let a = -219 - p. What is the fourth smallest value in 12, 5, 4, a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3383736 litres?\nAnswer: 338.3736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-415)\/664*(-2)\/15*-1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Suppose 4*w + 4*r = 0, w + 4 = 3*w - 2*r. Let q be 30\/72*3 - w. Which is the closest to h? (a) -2\/5 (b) -3\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:38 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -950?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, -65, -145, -227, -311, -397, -485?\n\"Answer: -c**2 - 75*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3903 + -2563. List the prime factors of s.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117845627 to the nearest integer?\nAnswer: 10856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/((-16)\/(-4)) + -6 + 4. Let l be 315\/12 + 3\/4. What is the remainder when (-3)\/s - l\/(-2) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306 + -300 - (0 + -17).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-30) + 4\/6. Let p(f) be the first derivative of 2\/3*f**3 + 0*f + 2 + 0*f**i. Let j(m) = -m. What is j(p(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.72602 millilitres to litres.\nAnswer: 0.09572602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 - 1438973*m**3 + 11841463*m**2 wrt m?\nAnswer: -48*m - 8633838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - (1 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25080, 50158, 75234, 100308, 125380?\n\"Answer: -z**2 + 25081*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 10, 2\/11, -49, 115, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32423172*h**2*l**3 - h*l**3 + 2167126*h - 6 wrt h.\nAnswer: -64846344*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2045*l**3 - 159*l + 7. Let w(f) = 681*f**3 - 53*f + 2. Let p(a) = -4*v(a) + 11*w(a). Find the second derivative of p(j) wrt j.\nAnswer: -4134*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 + -536. Which is the nearest to -0.1? (a) l (b) -7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -27.3808\nAnswer: 8.21424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*l + 6 - 6 = 0. Solve l = -22*n - 47 - 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 2, g: 2, j: 2}. Give prob of sequence mjd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8412 + -4052. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*g = -1032*g + 37758 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240*r**4 - 21321*r**2 + 837*r**4 + 21324*r**2 + 2*r**3 + 1 + (-r + r + r)*(r**3 - 3*r**3 + 4*r**3).\nAnswer: 599*r**4 + 2*r**3 + 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200211 + 1011100201122?\nAnswer: 1011101102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaga when four letters picked without replacement from aggggagagg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from llrllflfglplpplp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 851*s**2 + 1380*s + 138. Let x(d) = -6*d**2 - 10*d - 1. Let p(n) = h(n) + 138*x(n). Let w(k) = 10*k**2. What is p(w(v))?\nAnswer: 2300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 323007.1g?\nAnswer: 323007100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*r + 33918, -3*p - 3*r + 33928 = -4*r. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.099908 litres to millilitres.\nAnswer: 2099.908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 1:07 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -21, -33, -47, -63?\n\"Answer: -w**2 - 7*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92515705?\nAnswer: 5, 239, 77419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*a - 404 = 388*a. Solve -6*h + 77 - a = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Suppose -12 = -5*g + r*w, -12 - 4 = -5*g + w. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/24*8\/(-30)*3)\/(1518\/(-12650)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(2*sqrt(300)))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + 110. Let k be (1 + 2)\/(-1*(-4 + j)). Let l be ((-10)\/(-45) - 0)\/1. What is the nearest to 2\/5 in k, l, 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-5)*2\/(-2))\/((-34)\/85)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 + 3*b**4 + 0*b**4 + (2*b**3 + b**3 - 5*b**3)*(-b + 2*b + 0*b))*(-3 + 4 + 1).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159060 divided by -231812?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -25*v**3 + 15*v**2 + 3*v + 3. Let r(c) = 75*c**3 - 46*c**2 - 8*c - 8. Let q(o) = -8*f(o) - 3*r(o). Find the third derivative of q(g) wrt g.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5748708 and -0.001.\nAnswer: 5748707.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - -24 - ((3 - -16) + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*c + 385*c = 197*c - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 0*d**2 - 10*d + 33\/4*d**4 - 1\/10*d**6 + 0*d**3 + 1\/10*d**5 + 0. Find the third derivative of r(h) wrt h.\nAnswer: -72*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, -5, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -283049 or 5865?\nAnswer: 5865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(-12 - 21 - 9)*(-2 - 4 + 3)*(p + 1 - 1).\nAnswer: 378*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*w + 80*w + 12*w)*(4*w - 4*w + w + (w + 0*w - 3*w)*(-1 + 0 - 1)).\nAnswer: 270*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*j - 12*j - 17*j)*(-11 + 13 - 22)*(-4 + 4 + 2*j).\nAnswer: 400*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*i - 35, -v - 4*i = -11 - 2. Suppose 4*l = u - 8, -1 = 2*l - v*u + 3. Let p = 9.05 - 1.05. What is the third biggest value in p, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*o = -364 - 132, 2*t - 5*o + 487 = 0. Let u = t - -259. Solve -u = -2*h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9971, 10602, 11233?\n\"Answer: 631*d + 9340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 10*r**4 - 14*r**3 - 6*r**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -89302, -89194, -89002, -88714, -88318, -87802, -87154?\n\"Answer: 2*u**3 + 30*u**2 + 4*u - 89338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 2*sqrt(13))*-1 + -1*(sqrt(13) + 2))**2.\nAnswer: 16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v. Suppose -8*p - l - 26 = -3*p, 4*p + 18 = 2*l. Let w(s) = 4*s**2 + 4*s - 8. Let b(h) = p*o(h) - w(h). What is the units digit of b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + k - 2*k + 5, -3*n - 3*k = -3. Suppose -10*t - 412 = -372. Sort t, n, -10 in descending order.\nAnswer: n, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 2\/7, -3\/10, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3 and 35.67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8.21429 * -50\nAnswer: 410.7145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3) + 0 - 13. Let h be (-2)\/(-11) - (-2)\/g. Sort 1, h, 3.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhxv when four letters picked without replacement from {x: 3, v: 13, s: 2, h: 1, l: 1}.\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12649 and -29\/7228?\nAnswer: 50596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -122331 divided by -3707?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6. Suppose 5*o - 41 + 31 = 0. Let h be (-3)\/(1 - (-7)\/(-4)). Solve d - h + o = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3)*(-88)\/308.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311177 is divided by 13105?\nAnswer: 9762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhhhhhxvhhhhhhhhhhh. What is prob of picking 1 x and 1 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 6*n - 3. Suppose -n*y - 2 = -50. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*w - 15*w + 52624. Does 44 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 - 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 + 8*d**2 - 3*d**2)*(-2*d + 36 - 36) + 44 - 44 + 49*d**3 to the form c + p*d + b*d**3 + x*d**2 and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*m**2 + 4*m + 0 = 0. Calculate m.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117182597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 3*j - 4*j. Suppose 11*q - 7*q = 12. Let w(y) = 3*y + q*y - 4*y - y. Determine w(f(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250826?\nAnswer: 2, 83, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**5\/15 + k**4\/3 - 2*k**3\/3 + 11*k**2\/2 - 11. Let v(y) be the second derivative of a(y). Factor v(s).\nAnswer: -4*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - c2152?\nAnswer: -c214d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -657, -919, -1165, -1389, -1585, -1747, -1869?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.94061 tonnes to nanograms.\nAnswer: 3940610000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -38, -22, 20, 94, 206, 362?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/518)\/((-1350)\/3780).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009859447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2192 + 36148 = -18*o. Let p = 1463 - o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*t - 49, 2 = -0*t - t. Suppose -18*p - w = -21*p. Let s be ((-4)\/p)\/(4\/(-30)). Solve 2*h + s = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**2 - 16*k. Let w(j) = -2*j**2 + 3*j. Let f be (-14)\/49 - ((-153)\/21 - -3). Suppose 5*h - 17 = 2*b - b, -2*h - 2 = f*b. Give b*u(z) - 11*w(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 33*t = y + 6, 5*y = -4*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/((-36)\/(-9545)))\/(1*3\/(-12)).\nAnswer: 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3310 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.55 + 0.05. Let n = 2.3 + t. Put n, 1, 1\/5 in ascending order.\nAnswer: n, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -77, 0.22, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 409790 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - 3. Suppose 0 = g + m + 25, 5*g + 3*m = -49 - 72. Let s = g + 27. Solve s*q + 30 = 2*p + 10, 0 = -5*p - j*q + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4186\/(-14352))\/(14\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1 (c) 359010\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43392966*b**3*o + 580*b**3 - 2*b**2 + 4533*b wrt o?\nAnswer: 43392966*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iism when four letters picked without replacement from sksqmkksiskkssksis?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200436, 401014, 601726, 802572, 1003552?\nAnswer: 1204666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463500 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1) - 2684\/(-32). Let a = n - 593\/8. Find the common denominator of (54\/20)\/(12\/(-15)) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/251 + 2023\/1255. Let m(a) be the first derivative of -s*a**5 - 8\/3*a - 6*a**2 - 14\/3*a**4 - 64\/9*a**3 - 23 - 2\/9*a**6. Solve m(c) = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 47 + 7 = 0, 3*s = 4*n - 32. Solve s = 328*w - 338*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = m + 69, t - 4 = 0. Let l = m - -62. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9985707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -5082?\nAnswer: 5079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 18*b - 43. Let a be t(3). Suppose 2*w = -x + 23, -2*w - 19 = -3*w - a*x. Suppose -20 = -5*y + 5. Solve 6 = -y*f - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a + 3*x, a - 1 = x - 3*x. Let d be (3 + (-3 - 9\/(-3)))\/a. Let k = 111 - 108. Solve 2*l + 3*j + j = -14, -k*l - d*j = 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9018 is divided by 501.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0.6. Let f = 11 - z. Let x = 10.00102 - f. Round x to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5134.9593 and 104.\nAnswer: -5030.9593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598122 by -33229.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = s - 48 + 38, 0 = 2*i + 3*s + 10. Sort 36, 4, -4, i in decreasing order.\nAnswer: 36, 4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279a926 (base 11) to base 6.\nAnswer: 251123231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000100000010111 + -101001?\nAnswer: 101000011111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a**2 - 1. Let k(o) = 4*o**2. Determine k(d(r)).\nAnswer: 676*r**4 - 104*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111763*i + 224422*i - 112660*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 - 423. Suppose 0 = -3*y - 4*h - 2 - 0, 5*h + 20 = 5*y. Calculate the remainder when 3075\/33 - y\/11 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:56 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (41\/246)\/((-5 + (-44)\/(-9))*(-9)\/57)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 12. Suppose -51*y - 392 = -53*y. Let f = -200 + y. Put u, f, -5, 1 in descending order.\nAnswer: u, 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, c: 2, s: 4, w: 2}. Give prob of sequence cwc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4\/13)*d*d**(-5) assuming d is positive.\nAnswer: d**(-43\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*l - 169 + 853 = -663*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 157 = 2*o, k + 24366*o - 24371*o + 28 = -30 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.2. Let g = x + -0.4. Put -2\/19, g, -1\/4 in decreasing order.\nAnswer: -2\/19, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2197 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:40 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 14 + -27 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 952094 and -2?\nAnswer: -1904188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 62029.35 weeks?\nAnswer: 37515350880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41705?\nAnswer: 5, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10, 4*w + 2*g - 23 = 3*w. Suppose -m - 18 = 2*h + 3*m, -5*m = -h + w. Let x be (h\/(-3))\/(8\/18). Which is the closest to x? (a) -1 (b) 1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2266452 and 180?\nAnswer: 11332260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185\/3 - 61. Factor 2\/3*y**2 + a + 4\/3*y.\nAnswer: 2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**5 - r**4 + 3 + r**5 - 4)*(23 - 34 - 26).\nAnswer: 74*r**5 + 37*r**4 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/160 - (-6)\/16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -354, -67, 0.02?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1062*y**3 - y**2 + 198?\nAnswer: 6372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117\/2 - -60. Let q = 21\/22 - p. Which is the nearest to 0? (a) q (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - s + (382 + 34*s - 382)*(2 - 3 + 2))*(-3*s**2 - s**2 + 3*s**2) to the form p*s**3 + q*s + t*s**2 + j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p + 2. What is h(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15740244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -252, -2342, -4432, -6522?\n\"Answer: -2090*n + 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9916580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 2. Let l be j(-5). Solve -2*c + 7 = -5*z, 2*c + 4*z = -z - l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -89, -5 in decreasing order.\nAnswer: -5, -8, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 - d**2 + 0*d**2)*(2 + 5 - 5 + 3).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by 93.\nAnswer: -134\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41647, -333164, -1124423, -2665294, -5205647, -8995352, -14284279, -21322298?\n\"Answer: -41645*s**3 - s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*j - 130*j + 20 = 0. Suppose r - 2*u + 22 - 118 = 0, -2*r = 3*u - 178. What is the highest common factor of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29535284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/10 - 336\/60) + 1715 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 12) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:35 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -9) + (-2 - (6 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17319293 is divided by 422?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*h**3 + 120*h**3 + 36*h - 36*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 253 - 1181. List the prime factors of d.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68.8 in 0.03, -2\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m + 4*m + 11*m**2 - m - 4*m**2 - m**3. Let d be k(6). What is the second derivative of -q**3 + 5*q**3 + q + d*q wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11130\/(-172515) - 170\/(-713).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -8 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (104\/6)\/((-6)\/(-9)). What are the prime factors of 2 + -3 + 4 + c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1877 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/5 - 31*q**4 + 7104*q**3\/5 = 0.\nAnswer: -192, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c. Let g(a) = -11*a**2 - 13*a + 43. Give g(h(s)).\nAnswer: -11*s**2 + 13*s + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -509*i. Let r(l) = l. Give z(r(d)).\nAnswer: -509*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 552 = -8*j. List 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 6, what is -1 + -125?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:54 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let f = 75 + -73. Let y be 40\/(-10)*f\/8. Let n(o) = o + 3. Calculate y*n(q) + c(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3 = -6*k + 5*x, 4*k - 3*x = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12275*x + 12 - 12.\nAnswer: 12275*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009669 to six decimal places.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**5\/5 - 165*v**4\/2 + 3024*v**3 + 165*v**2 - 9075*v - 1145. Factor x(h).\nAnswer: 3*(h - 55)**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.72 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/1148)\/(15\/(-42))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21866?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71993 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11403 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -113*d + 5. Let f(v) = 24*v - 1. Let n(g) = -c(g) - 5*f(g). Let a(p) be the first derivative of -2*p**2 + 3. Calculate n(a(j)).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130100122 + 133?\nAnswer: -130033323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 1011 (c) 3 (d) -5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)*(l*l**(-16\/5))\/l*(l*l**(6\/5))\/(l**23\/l*l*l) assuming l is positive.\nAnswer: l**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 787 = 788. Sort -1, z, 5.\nAnswer: -1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178278 divided by 2.\nAnswer: 89139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13008.7 to the nearest 10.\nAnswer: 13010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*s - 1481*c*s**2 + 15*s**2 - 3*s + 3 wrt c?\nAnswer: 2*c*s - 1481*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 - -170. Suppose -5*a - 5 = 0, 3*b + 2*a + a = -15. Let l be 6\/(1*(b + 2)). Put v, -5, l, 1\/4 in ascending order.\nAnswer: -5, l, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 422 and 260156?\nAnswer: 109785832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from anpaasnapaannzvsnn.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g**(-2)*g)\/(g**(-2)*g)**(-4\/15) assuming g is positive.\nAnswer: g**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4203*d - 43. What is the units digit of k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*x**6 + 10467*x**5 + 254211*x**2 wrt x.\nAnswer: 1080*x**3 + 628020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q**3 + 35814026*q**2\/7 - 25974968*q\/7 + 3148480\/7 = 0. Calculate q.\nAnswer: 2\/13, 4\/7, 393560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:20 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 + 0*c**3 + c**3)*(4 - 1 - 2) + 28*c**2 - 59*c**2 + 9233*c**3 - 8877*c**3 in the form y*c + o*c**3 + f + a*c**2 and give o.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/11 - 50*i**2\/11 + 92*i\/11 = 0. Calculate i.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -12. Suppose -3*v - 24 = -7*v + t*s, 0 = -5*v - 5*s - 5. Let a(n) = 60*n + 35. Let h(f) = -5*f - 3. Let r(q) = v*a(q) + 35*h(q). Determine r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 u when four letters picked without replacement from {y: 5, k: 4, u: 8}?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 570650749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 * 904557.\nAnswer: 19900.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let j be 2 - (-7)\/(14\/4). Give v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k - 7. Let l be q(-4). Suppose l*a + 3*g - 16 = 0, 0*a + 5*a = g + 8. Factor 0*y**3 + y**3 - 16*y + y**3 - 3*y**3 + 8*y**a.\nAnswer: -y*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 867*c**5 - 1303*c**4 + 96*c**2 - 63*c + 252.\nAnswer: 52020*c**2 - 31272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710, 2856, 6424, 11408, 17802, 25600, 34796?\nAnswer: 45384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a. Suppose -37*i + 31*i + 108 = a. Calculate the smallest common multiple of 3 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10786 + -10604. Which is greater: 181 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 29*b = 2*b + 616 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s**2 - 14*s**2 + 0 + 0 + s. Let x = 20 + -19. What is h(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(243))*-4)**2.\nAnswer: 288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000073547 rounded to seven decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 353*f**2 - 166*f**2 - f**3 + 3*f - 3 - 184*f**2. Suppose -3 = 3*k - 3*b, 7*k - 11 = 3*k - b. Determine p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 4705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + 6. Suppose 0 = 3*a + 35 - y. Suppose -11*x = -13*x + 5*v + 59, 80 = a*x + v. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-18 + -7 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20860450 greater than 104302257\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001753 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209719 is divided by 11028?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 + 4306049*q**3 - 66603*q + 59 wrt q.\nAnswer: 40*q**3 + 25836294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - ((13 - -7) + -4)) + 637\/7?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450452217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**8\/560 + q**7\/350 + q**6\/100 - q**2. Factor p(m).\nAnswer: -3*m**3*(m - 2)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1909 and 20171?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1777272 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - ((sqrt(33) + 2*sqrt(33) + sqrt(33))*4 + sqrt(33)))\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 22 + 535*p - 47 to the form h*p + z and give h.\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pktlppkptkptp. What is prob of picking 2 p and 1 k?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 = -102*j + 61*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 38*i + 3016. What is k(-79)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1736943573 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 4*u**2 - u - 3 + 4*u + 2*u**3. Let q be y(4). Let j(g) = 2*g - 9. Does 9 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 223, 202, 91, -110, -401, -782?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7939 - -23441\/3. Let k = 126 + v. Find q such that 1\/3*q**2 + k*q + 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-5 + sqrt(20)\/(sqrt(4) + sqrt(16)) + -3)*-3 + (1 + ((-2 + sqrt(5))*-3 + sqrt(5) - ((sqrt(5) - -2*sqrt(5)) + -1)))**2.\nAnswer: -66*sqrt(5) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -12293.28.\nAnswer: -12293.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25754 and 978.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12439, 24856, 37281, 49720, 62179, 74664, 87181, 99736?\nAnswer: 112335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20*k - 11. Let c be y(-4). Suppose -10*d + 13*d = c. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.45788ms in microseconds?\nAnswer: 41457.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 52*z**2 + 288*z = 0 for z.\nAnswer: 0, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48346592 by -4.\nAnswer: 12086648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2 + 29697225*v - 29697230 = 0. What is v?\nAnswer: -5939446, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -203166 (base 7) to base 2\nAnswer: -1000011110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 38060*t**2 + 90401868*t + 634679388.\nAnswer: 4*(t - 4761)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 8. Calculate the remainder when b(6) is divided by (34\/(-357))\/((-40)\/(-70)) - 133\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 838 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 428286.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -372272 not equal to -372274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9.7. Let s = m - 0.7. What is the closest to -1 in -3, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 = 64*t - 474. Solve 0 = -4*b + 3*o - 28, -5*o + 7*o = 3*b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9232.665 millilitres to litres.\nAnswer: 9.232665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((3\/(-3))\/(-570000)). What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5795936 litres?\nAnswer: 579.5936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, s: 1, c: 4, o: 1, h: 1, v: 1}. What is prob of sequence hev?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0 = -h + 8, 0 = -4*m - 4*h. Suppose w + 8 = 3*v, m*v - 4 = 2*w + 6. Find the second derivative of 0*f - 14*f**3 - f + 11*f**v - f wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1746?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 397436?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/2)*y\/y**(3\/4)*y**(-1\/6)\/y*y\/y**3*y*y assuming y is positive.\nAnswer: y**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -62992.\nAnswer: -1\/15748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1555 divide 67981958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**4*l*l)\/((l\/(l\/l**(-6)*l))\/l)*(l**(2\/7))**(3\/5))\/(((l*l**0)\/l**(-3\/5))\/(l\/((l\/(l*l**(2\/5)))\/l))**18) assuming l is positive.\nAnswer: l**(2057\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -34?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**4 + 3260*f**3 = 0.\nAnswer: -652, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -164272 (base 10) to base 6\nAnswer: -3304304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + -7) - -10 - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8.19. Let c = m + 0.190819. Round c to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/12 + 7*b**3\/6 + 4*b**2 + 2*b. Let l be k(-6). Sort 1, -3, l in ascending order.\nAnswer: -3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9916851 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -36*x**3 - x**2 - x. Let d be t(-2). Suppose 5*p + 74 = -d. Let g = p + 502\/7. Is 2 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t. Let x(c) = 2. Let g(p) = -8*p**2 + 24. Let j(z) = -g(z) + 12*x(z). Calculate u(j(a)).\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18191 = d, 2*l = -d - 3*d + 12144. Let n be -14*(-369 - 7\/(14\/(-4))). Suppose -2*i - n = l. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 296 and 0.2665.\nAnswer: 296.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14979, -17964, -20949, -23934, -26919, -29904?\nAnswer: -32889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(600) + -1*sqrt(600))\/(sqrt(1200)*3 + sqrt(1200) + sqrt(12)))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -3. Suppose 7*k - 3*k = v. Let j = k + 3. What is the remainder when 19 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-40)\/(-6))\/((-2)\/(-18)). Suppose -21*c + n = -45. Solve -c*i + 2*a - 20 = 0, -i - 6*a + 23 = -a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010011110 (base 2) to base 3\nAnswer: 220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 2*a**2 - 6*a - 3. Let y(z) = 168*z**3 + z**2 - 10*z - 11. What is -2*v(c) + y(c)?\nAnswer: 172*c**3 - 3*c**2 + 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -38*z + 11 - 500 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -6*3\/2. Let h = 51096.4 - 51097. What is the biggest value in h, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**9)*d)\/d*d**(-3\/4))\/(d**(-3\/2)\/(d\/d**(2\/9))) assuming d is positive.\nAnswer: d**(379\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 5. Give h(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/(-6) - ((-116)\/(-12) + -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g - 2*g + 30*g + 461 + 25*g - 468. Calculate o(-1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -s - 8*k - 13, 5*k + 30 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(2*sqrt(2)))\/sqrt(2) + ((sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*-1)))\/sqrt(12) - (1 + sqrt(1300) + sqrt(13)))**2.\nAnswer: 45*sqrt(13)\/2 + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1383375)\/124)\/105 + 105.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 0*p - p - 9*p + 15*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3728, -29821, -100640, -238547, -465904, -805073?\n\"Answer: -3727*x**3 - x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/10*(-438)\/(-15) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012116 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 17*x + 37. Determine b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c126 (base 16) in base 11?\nAnswer: -158956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 690*h + 2762. Calculate p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 46. Let x(j) = 9*j**3 + 4*j**2 + 2*j - 1. Let f be x(-1). Let u be g(f). What is the highest common divisor of u and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 21*q**2 + 21*q + 43. Let o be h(-22). Let a(v) = 2*v - 3. What is the remainder when (-3)\/(3 - 210\/o) is divided by a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(2299)*2)**2.\nAnswer: 9198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 12*f - 9. Suppose 0*z + 10*z = 5*z. Let a be z + 1 - (-28 + 38). What is x(a)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -22\/321 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -24, -33, -44, -57, -72, -89?\n\"Answer: -s**2 - 4*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7799 (base 14) in base 2?\nAnswer: -101000011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2328*a**2 + 11*a**3 + 2359*a**2 - 1 - 4692*a**2 to the form r + t*a**3 + c*a**2 + f*a and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855656 is divided by 7513?\nAnswer: 6687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 58409664 and 58409665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.037 and 583398685?\nAnswer: 583398685.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1523120 - 2516?\nAnswer: 1520301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -121, -176, -229?\n\"Answer: j**2 - 60*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2217 + 2365. What is the remainder when t is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2928 and -157\/8418.\nAnswer: 67344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 112. Solve -2*y + 5 = -v*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*o**3 + 23*o**2?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let x be (-31)\/15 + (-46)\/(-115). Which is the closest to 0? (a) r (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(114)*-4*-2)\/(sqrt(12)\/sqrt(2)*1 - (sqrt(216) + (sqrt(216)*-2 - sqrt(216)))).\nAnswer: -48*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 76. Let o be q(15). Which is the smallest value? (a) o (b) -1\/8 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(700) + -4.\nAnswer: -4 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 45*h**2. Let s(k) = 5*k**2. Give s(t(d)).\nAnswer: 10125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1965.\nAnswer: 21615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -x - 2*g + 294, 0 = -4*x - 4*g + 788. Suppose k = f + 265, -x = 5*f - 4*k + 1130. What is the common denominator of -85\/8 and (f\/(-72))\/(1\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -4. Suppose z*v - 40 = 36. Let w be 87\/12 + 3\/(-12). Solve 0 = -4*o - 3*g + v, -6*o + w*o - 5 = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14088881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 10. Let g be (16\/10*3\/(-6))\/(78\/390). Put g, 4, 5, t in decreasing order.\nAnswer: 5, 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**2 + 7 + 6 + 2*g - 12 + (-6*g + 2*g + 2*g)*(22 + 7*g - 22).\nAnswer: -4*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-10))\/(35055\/(-570)).\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.5728 grams in nanograms?\nAnswer: 55572800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -657*o + 1304*o + 5 + 5*o**2 - 657*o.\nAnswer: 5*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 174.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let t(n) = -2*n + 3. Let m(g) = 4*t(g) - 7*w(g). Determine m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*n = 1160, v + 2*n = 2*v - 292. What is the greatest common divisor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69065 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 14*k**2 + 14*k - 8. Let a(c) be the third derivative of -c**5\/60 + 2*c**2. Let m(i) = -4*a(i) + w(i). Is m(9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24.11. Let c = -27113 + 27110. What is the second smallest value in 2, -0.4, c, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*f**3*v**4 - 147390*f**3*v + 55*f**3 - 81439*v**5 wrt v.\nAnswer: 2448*f**3*v**2 - 1628780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0749005 and -0.049736583.\nAnswer: 0.025163917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418831123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -27) + -7 - ((8 - 4) + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let c(y) = 9*y - 130. Let t(a) = 4*a - 64. Let k(n) = -3*c(n) + 7*t(n). Calculate k(g(m)).\nAnswer: 2*m**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:08 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*z**3 + 1278*z**3 - 445*z**3 + 403*z**3.\nAnswer: 1832*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-1.5350187\nAnswer: 0.076750935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -845.\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:57 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weellwrwettrteee. What is prob of picking 1 t and 1 l?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -102935\nAnswer: -1029.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*q + 86. Let u be (2\/6)\/((-4)\/(-36)). Let r = u - -9. Calculate the remainder when q is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 7 (c) -4\/7 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 202*18\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k - 4. Let l(p) = -83*p - 19. Give 9*j(g) - 2*l(g).\nAnswer: -23*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80548\/42510 + (78\/15 - 7) and 119\/78.\nAnswer: 8502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 488 by -98.\nAnswer: -244\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-122))\/((-65023)\/566629)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8296598 (base 10) to base 11.\nAnswer: -47573a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11*-2*(-2)\/(-4). Suppose r = 2*r - o. Suppose -p + 3 = -r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**4 + 3*o**4)*((-3 - 2*o + 3)*(-4 + 0 + 3) - 2 + 2*o + 2).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 1:12 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/128 and (-13)\/((-1183)\/339) + 7\/(-98).\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -295 and 9.\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o - 4 = 4*n, 3*n - 5*o - 21 = 0. Suppose -n*k + 5*x = -42, 0 = 5*k + x - 51. Suppose 0 = 5*m + k - 31. Sort 1, m, -1.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-45)*571 + 4\/30. Let o be ((-1080)\/p)\/5 - (2 + 1). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25475*n**2 - 50947*n**2 + 13*n**3 + 25476*n**2.\nAnswer: 13*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22222022 (base 3) in base 16?\nAnswer: -198e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 1)*1*8\/24. Suppose 9 - 1 = -d - 5*q, o*d - 8 = 2*q. Solve -7 - 1 = d*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74295*r = 74316*r - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1)**2*3*1.\nAnswer: 48*sqrt(5) + 963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 3*b**3 + 0*b**3 + 6*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 79. Let z be b(3). Suppose -3*m = 3*c - 165, -c + 47 = -0*c + 5*m. What is the greatest common divisor of c and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 18*h + 34. Let z be l(16). Solve 1 = -g, 29 = 4*n - z*g + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*d = 377, 4*p + 31 = -5*d + 592. Calculate the remainder when 1216 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n - 2. Let o(t) = -29*t + 2. Suppose -46*h + 48*h - 12 = 0. Give h*o(i) + 5*w(i).\nAnswer: -29*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k*k\/(k*k*k**(-12\/11)*k*k*k)*k assuming k is positive.\nAnswer: k**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -53*t**3 + 22*t - 17. Let u(w) = 81*w**3 - 34*w + 26. Let i(b) = 8*o(b) + 5*u(b). Let d(c) = 208*c**3 - 65*c + 65. What is -6*d(m) - 65*i(m)?\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551125 divided by 5?\nAnswer: -310225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 3:01 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c**2 - 65*c + 1. Determine n(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110100011011010101 (base 2) to base 16.\nAnswer: 2f46d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azaaaaaaaiaaaaaa. What is prob of sequence iz?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144791, 144712, 144633, 144554?\n\"Answer: -79*c + 144870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f + 57. Let l = f + 81. List the prime factors of 2\/(-8) - (-414)\/l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5735970 and 196741.\nAnswer: 407253870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (3 - (-5 - -11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-3528)*-8*((-119)\/2 + 0)\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/22)\/1*(-492)\/82.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*i**4 + 2501993*i**3 + 32641244*i**2.\nAnswer: 480*i + 15011958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 5:39 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 8*o\/3 - 4\/3.\nAnswer: 4*(o - 1)*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 2401379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*p + 12441, -v - 3*p = 95 - 4237. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14055 (base 6) to base 2\nAnswer: -100010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 3. Let z(y) = y + 2. Calculate -3*p(s) - 5*z(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 + 9*w + 7. Suppose -4*v = 5*m - 0*m + 22, -2*m - 10 = 2*v. Let n be t(m). Let j be 1 + 1 + (2 - -1). Solve -n*y + 20 = j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -27.2304228 rounded to one dp?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*a - 1648, d + d + 1638 = 4*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/(4\/(96\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v - 8*d + 4*d, -d = -3*v - 11. Let g = -33 + 90. Let u = g - 56. Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25995447 to the nearest integer?\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26375 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3599 - -3596. Let k(m) = -2*m**2 - 3*m + 3. Let c(f) = 2 - 3*f**2 + 1 - 5*f + 2. Determine d*c(a) + 5*k(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 310, 1\/4, -0.5, -2\/15, -0.2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faajaajfaijjaa. Give prob of picking 1 f and 3 a.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2932074 + -4?\nAnswer: 2932070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 - -123) + 0 + -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*h**3*j - h**3 + 274658*h*j**3 - 7021052 wrt j?\nAnswer: 20*h**3 + 823974*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3*p**5\/2 - p**3\/2 - p**2 + 12*p - 2. Find the second derivative of c(a) wrt a.\nAnswer: 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 2\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354620011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 15536?\nAnswer: 7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - 0.04. Let n be (-6)\/21 - (-104)\/(-28). What is the closest to -0.2 in d, 5, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/(-6) - (-14 - -7). Solve -4*r + 3*r - 3 = 0, -n = -4*l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-14) + (3 - 0). Let g = -0.2 + -0.1. Let d(k) = -k**3 + 15*k**2 + 18*k - 28. Let x be d(16). What is the closest to 3 in g, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -4, -0.5, -15, -2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**38\/b))\/b)\/b*b*b*b**(-21)*b*(b**3)**(42\/11) assuming b is positive.\nAnswer: b**(-490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z - 11. Suppose 17*b - 204 - 228 = -534. Let y(p) = -10*p - 10. What is b*u(k) + 7*y(k)?\nAnswer: -4*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 382991 and 161.\nAnswer: 383152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 + 14 = 0. Let r = -3 - s. Let n = -53 - -80. What is the remainder when n is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13721*d**3*y**4 + 1279502*d**3 + 26*d*y**4 wrt y.\nAnswer: 54884*d**3*y**3 + 104*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 2*c - 2. Suppose -3*s - 4 + 16 = 0. Is v(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 18*g**2 - 2*g + 75. Calculate the smallest common multiple of h(-9) and 45.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.8006 nanoseconds in seconds?\nAnswer: 0.0000006898006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 1 + 5. Let m be (1\/h)\/((-6)\/(-495)). Let z(p) = 496*p - 2452. Let j be z(5). Is j bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 11. What is q(21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 29*p - 17. Let w be o(-5). Solve -153*t + 150*t - w = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*n + 29, 0*j = -j - 3*n - 31 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(112)*-4)**2.\nAnswer: 288*sqrt(7) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 2*z**2 + z + 2. Let q(h) = h - 12. Let c be q(10). Let t be y(c). Solve -3*i + 3*j + 12 = 0, -j - 2 = -3*i - t*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(35)*-2)\/sqrt(7).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41176471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553837.7s to nanoseconds.\nAnswer: 553837700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 5. Let f(j) = 3*j**2 - 4. Let t(d) = -2*d + 5. Let x be t(4). Suppose 1683*h - 64*h + 3238 = 0. Give h*q(n) + x*f(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9238263 millilitres in litres?\nAnswer: 0.0009238263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5.95, -31\/7, 8?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - -0.08. Let q = x + -0.23000032. What is q rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from ttgwgtfllg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 9963*q = 0. Calculate q.\nAnswer: -3321, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016780 take away 362?\nAnswer: 2016418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -34 (c) -3 (d) 0 (e) 0.0412\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4*-2*4. Let f = 5 + -5. Let d = f + 0. What is the nearest to d in 0.4, -2\/3, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-168))\/(3\/(18\/44)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -0.561.\nAnswer: 0.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let b(w) = 6*w + 2*w**2 + 5 - w**a - 4. Let r be b(-5). Is r at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**3\/7 - 218*i**2\/7 + 470*i + 836\/7 = 0. Calculate i.\nAnswer: -38, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 3, w: 4}. Give prob of picking 1 w and 3 s.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 47. Let -6*a**2 + q*a**3 - 2*a**3 - 4*a**3 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(2 + (-11)\/3). Suppose -i = 3*x - 17, -4*i - 3 = -3*i - x. Let d = v - i. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15051 or 15087?\nAnswer: 15087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -7. Suppose q*p - 5*p - 43 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - i - 60 + 375*i**3 + 80 to the form r*i**2 + x + t*i + g*i**3 and give g.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2*w**3\/63 - 13*w**2\/7 + 343. Factor f(c).\nAnswer: 2*c*(c - 39)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 - 2*v - 2. Let y be k(-1). Are 40\/17 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/(n**0*n*n))))**(-1\/19))**25\/(((n**(-2)*n*n)\/n*n**(-1\/2)*n)\/((n**(-1\/6)*n)\/n**(-5))) assuming n is positive.\nAnswer: n**(511\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.07054 and 28.\nAnswer: 29.07054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*h - 32*h + 36*h + h + 2 - 2 + (-5 + 2 + 1)*(-3 + 3 - h) + h - 4*h + 2*h.\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.339 + -1780.0835.\nAnswer: -1781.4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**3 - 229*v**2 - 3*v - 447. Determine l(23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2146, -1\/6, 2 in ascending order.\nAnswer: -2, -1\/6, 2, 2146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o + o)*((3 - 3 - 5)*(-5 + 2 - 6) - 14 - 2 + 2).\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 64. Differentiate -14 + 11*b**2 + i*b**2 - 3 + 13 wrt b.\nAnswer: 50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482514 divided by 80419.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -198\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 896 = -4*h. Suppose 2*f + 0*f - h = 0. Calculate the lowest common multiple of 14 and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1599, -1613, -1627, -1641, -1655, -1669?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-8) + (-222111)\/(-36) + 11.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/24 + w**3\/3 - 3*w**2. Let v(m) = -m**2 + 4*m. Suppose 0 = -2*b + 6 - 0. Let n be v(b). What is d(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 102038790?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1a4a?\nAnswer: -1a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*k - 2 = 8, s = 4*k + 20. Solve s = 4*w + 2*n + 22, 2*n + 20 - 3 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3. Let o(v) = -v - 1. Let i(j) = o(j) + p(j). Let f be i(12). Is -1*(-1 + f + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -936.\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001233 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - sqrt(60))\/sqrt(12) + (-1*sqrt(40))\/sqrt(8) + -2 + (sqrt(1280) - sqrt(1280)*1) + sqrt(1280).\nAnswer: -2 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13716 and 304452?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 10*c - 104 = 0. Calculate the remainder when 50 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**4\/2 + 1185*v**3\/2 - 24350*v**2 + 245010*v + 592200 = 0.\nAnswer: -2, 21, 30, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/585 and (1\/65)\/(15\/366*-2)?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 374?\nAnswer: -11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*a + 30 = 0, -n + 5*a - 12 = -0*a. Let o(p) = -n + 0 + 349*p**2 - 348*p**2 - 2*p - p. Determine o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.422 less than 1010369.02826?\nAnswer: 1010369.45026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 4*f + 40, -5*y + 5*f = 45. Let u = -0.0818 - -38.0818. What is the closest to u in -2\/3, -5, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g - 87*g + 72*g + 450 = 0 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + g = -3, -3*f + 6*f = 2*g - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*d + 284*d**2 - 277*d)*(-3*d**2 + 3*d**2 - d**2).\nAnswer: -284*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*j - 9*j = -12, -j = -n + 3. Let m(h) be the first derivative of 3*h**5 + 0*h**2 - 3 + 0*h**n - 3\/4*h**4 + 0*h. Solve m(u) = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16716 and 7359816?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 24, -128, -292, -468?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 - (4 + (-1 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a21 (base 15) in base 13?\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:41 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h + 9. Let j(l) = 3*l - 1. Let a(u) = -2*j(u) + n(u). Let c(o) = -16*o - 56. Calculate -22*a(x) - 4*c(x).\nAnswer: -2*x - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45736, -91433, -137130, -182827?\nAnswer: -228524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from kkdaakpk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n. Let j(h) = 7*h. Let k(a) = 5*j(a) + 6*l(a). Let b(t) = -3*t**2 - 2. What is k(b(x))?\nAnswer: 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*r + 45, -12 = 230*a - 230*a - 4*r for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 16*i + 612. Let h = i + -46. Let s be 1 + (-2)\/(-2)*-1. Solve -3*f = -o - 14, -o + s*o - h*f + 26 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/21)\/((-82)\/(-123))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - (-1 + (4 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*f**3 - 470*f wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 2:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/10*((-6)\/9)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/3877 and 597\/(-72) + -1 - 4\/3.\nAnswer: 31016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.4 - 134.6. Let w = b - -151.00009. What is w rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u**2 + 6*u + 24. Let x(n) = -41*n**2 - 13*n - 52. Let f(k) = 6*x(k) + 13*z(k). Let d(a) = 1673*a. What is f(d(s))?\nAnswer: 2798929*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476074 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 - 2233757*i**2 + 5437*i + 365 wrt i?\nAnswer: -12*i - 4467514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.02*-39.9.\nAnswer: 319.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*1 + 1 - (-16 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98593 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 195 - 6*s + 2*s**2 + 2*s in the form h*s**2 + u + y*s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 4. Let o(k) = -2*k + 3. Let a(v) = -3*n(v) - 4*o(v). Let x(j) be the second derivative of -5*j**3\/6 - 5*j. Calculate a(x(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.0151 - 1969104.35.\nAnswer: -1969102.3349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 582*a**6 - 164*a**5 + 2*a**4 - 437384*a**2 + a.\nAnswer: 69840*a**3 - 9840*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 3*s + 9. Let m(r) = -2*r**2 + 5*r - 19. Let d(b) = -3*m(b) - 7*z(b). Let g be d(4). Solve g*u - 1 = 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)*12\/(-24). What is the second smallest value in d, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46\/41 - -389\/164. Let j(z) be the second derivative of -4*z**3 + 0 - 4*z + w*z**4 + 6*z**2 - 3\/20*z**5. Factor j(x).\nAnswer: -3*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o - 2. Let s(b) = 4*b - 1. Let j(w) = -5*s(w) + 3*y(w). Let t(x) = -13*x + 2. What is 5*j(v) + 3*t(v)?\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1516, -1\/8, -14.66?\nAnswer: -0.1516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d = -58*d - 2. Suppose -5*k - 4*b = -11, 5*b - 8 = -4*k + b. Sort k, 0, d in descending order.\nAnswer: k, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/6)*z**(-1\/20)*z assuming z is positive.\nAnswer: z**(47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94475.72 + 1.\nAnswer: -94474.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Let n(y) = 0 + v + y. Let z(j) = -4*j**2. What is n(z(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**6*q)\/q*q)\/q**(1\/6)*(q*q*(q**(-3\/10)*q)\/q*q)\/(q\/(q\/q**(1\/2))) assuming q is positive.\nAnswer: q**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least as big as -18104\/763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/17)\/u*u)\/((u*u**(-1\/3)*u*u)\/u))\/((u\/(u**15\/u))\/(u*u*u*u\/u**(-1\/3)*u)) assuming u is positive.\nAnswer: u**(895\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*l + 11. Suppose z = l*q + 259, 5*z + 2*q = 1344 - 27. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*c + 29331 + 436. Is c at least as big as 289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3989734 - 36852.\nAnswer: -4026586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -188. Which is the second biggest value? (a) -3 (b) m (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1573)) - 4*(sqrt(1573)*-1)**2)*-4 - (-6*(sqrt(1573) + -4*(sqrt(1573) + 2) - (-3 + (0 + sqrt(1573) - sqrt(1573)))))**2.\nAnswer: -485432 - 11616*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 - 2*b. Let f be j(3). Let w = -64 + 248. Let o = w - f. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -13 + 35 + 33\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z - 2. Let w be (-88)\/(-9) - 70\/(-315). Calculate the smallest common multiple of 4 and u(w).\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61945.97 + 62341. Let g = s + -395. Which is the fourth smallest value? (a) g (b) 0.3 (c) -2 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5963130.\nAnswer: 2, 3, 5, 59, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693051?\nAnswer: 11, 426641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-1 - (-2 + 2)). Suppose a*d - 6*j = -j + 255, -5*d + 243 = j. What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8129575259570838613081\/7625124 + -1066156466382823. Let p = 2\/146637 + m. Let r = 4\/13 + p. What is the common denominator of r and -101\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 15*a + 14. Let o be m(-16). Let u = 2 + o. Suppose 10*h - 7*h + 3 = u. What is the second biggest value in 0.1, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278264227 plus -1.6729?\nAnswer: 2278264225.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - -30130125?\nAnswer: 30125412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d + 31059 - 15447 - 15361. What is u(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 99*i**3 - i**2. Let r be m(-1). Let g = r + 197. Let j = g + 19. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h. Let v = h + -1. Let u(z) be the third derivative of -z**6\/40 + z**5\/60 - z**3\/6 - z**2. Give u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7319 = -27*k + 26*k, 2*k = 8*a + 14596. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 9 (b) -2 (c) 1\/7 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**2 - 126*d. Let a(s) = -s**2 + 16*s. Let j(y) = -63*a(y) - 8*v(y). Let m(u) = 0*u - 6*u + 3*u. Give m(j(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(-2 + -2*(sqrt(200) + 0 + sqrt(200))**2 + -3) + 1).\nAnswer: -19266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -4*z**5\/5 + 9*z**4 + 100*z**3\/3 - 66*z**2 + 2384. Factor v(u).\nAnswer: -4*u*(u - 11)*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n**3 + 2*n + (-6*n**3 + 0*n**3 + 4*n**3)*(-3 + 1 + 0) - n**3 + 2*n**3 - 3*n**3 - 8 + 8 + 7*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 7*n**2 - 4*n. Let i(h) = -4*h**3 + 16*h**2 + 9*h - 1. Let u(s) = 5*b(s) + 2*i(s). Let z be 1\/(2 - 5\/3). What is u(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -30. Let z be -1 - (b - (-9)\/(-3)). Suppose 8\/3*q - 2\/3*q**z - 8\/3 = 0. Calculate q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9.4. Let w = j + -1.1. Which is the nearest to 1? (a) 0.3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 22 = -2. Suppose -r - 3*t + 3 = -v*r, -r = 3*t - 15. What is the tens digit of (16\/(-24) - (-33)\/1)*r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3816475*o + 38164748. Determine u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 - 8*o + 7\/12*o**4 + 1\/2*o**3 - 1\/2*o**2. What are the prime factors of n(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/120 - 3*t**5\/20 - t**4\/24 - t**3\/3 + 3*t**2. What is the units digit of p(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -0.4 (b) -4 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -704, -5, -2\/5, -1, -20\/9, -4.\nAnswer: -704, -5, -4, -20\/9, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530090 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, 0.21, 13, -4\/5.\nAnswer: -4\/5, -0.3, 0.21, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9537 - -4.043655. Let g = 0.09 - w. Round g to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - 777\/(-165)) + 2\/10 and 32\/79.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -49. Which is the smallest value? (a) 0.15 (b) k (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/3 + 38101*s - 114300 = 0.\nAnswer: 3, 114300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccqqp. What is prob of sequence qpc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -6. Suppose a = 3*t - 4, t = 2*t - 3*a + j. Let x be (2 - t)\/(-3*1). Let n(v) = v**2 - v + 12. Determine n(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -592 - 7?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + -1 - -18 - (44487 + -44456).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 21159*l - 634720. Give b(30).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (6 - ((-4 - -11) + -7 + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 - 5*a**3\/3 - 3*a**2\/2 - 8*a + 10. Determine i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(12*w + 388941 + 12*w - 388939 + 3*w**2).\nAnswer: -6*w**2 - 48*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -202.5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 7*z + 8. Suppose -16 = -5*a + 19. What are the prime factors of c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57 and -18192.801?\nAnswer: 18135.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 34*k. Let w(a) = 54*a + 7. Calculate w(s(z)).\nAnswer: 108*z**2 + 1836*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2161817?\nAnswer: 7, 53, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 = 4*i, -3*k + 6*k + i = 4. Suppose 67 = 5*f - y - 3*y, k*f - 3*y - 31 = 0. Solve 0 = 2*l + 2*u - 4, 6*l - 2*u + f = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -7. Let q be m\/10*(-3)\/4. Which is the smallest value? (a) 1 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10601\/6 - 1765. Let c(u) be the first derivative of 0*u - r*u**6 + 0*u**5 + 13 - 3*u**3 + 0*u**2 + 0*u**4. Find the third derivative of c(j) wrt j.\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 3*b + 0 - 2\/3*b**3 - b**2. List the prime factors of i(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/8)\/((-9)\/(-24)). Let d(r) = r**3 - 5*r**2 - 6*r + 4. Let g be d(n). Which is the second smallest value? (a) 2 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-98)\/(-5). Suppose -2*m = -m - 2. Let l = m - -28. Calculate the greatest common divisor of w and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + 2. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 430\/(-5805) + (1 - (-1412)\/108)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -76427 (base 14) to base 12\nAnswer: -119757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, 10 = -2*d - 0*d - 5*g. Let h(s) be the third derivative of s**6\/120 + s**5\/15 - 5*s**4\/24 - 5*s**3\/6 - 56*s**2. Calculate h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:44 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51173 * 11.\nAnswer: 562903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1482 and 1596?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 217710\/(-2475) - (-16)\/(-3080)*7.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = 21. Let r be (-105)\/4 - 2\/(-8). Let m = 20 + r. Let d(q) = 2*q**2 - 7*q - 1. Let k(z) = -2*z**2 + 6*z + 1. Determine m*k(c) + o*d(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 11 = -4*m + 4*w, m - 2*w + 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 - -2077\/14. Let s = 10\/3 + -8\/3. Is u less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -1\/3 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -31. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 130 = -4*d. Suppose -955 = 7*u - 2*u + p, -2*p + 586 = -3*u. Let h = d - u. What are the prime factors of h?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 3*h - 3. Let s(i) = -3*i. Let u be s(-2). Let j be 30\/(-210) - (15\/(-7) - 1). Suppose j*k - u = 4*k. What is x(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y - 3237907 = -3241207 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.4332492 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 6. Let r(q) = -q**3 - 5*q**2 - q - 5. Let w be r(-5). Let j be 0 + w*2\/2. Suppose j = -o - 4, 5*t - 4 + 16 = 2*o. What is v(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2580357144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.07873244*9.\nAnswer: 9.70859196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 57, 2\/5, -492 in descending order.\nAnswer: 57, 1, 2\/5, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2. Let t be h(0). Let a(y) = -y**2 - 7*y - 1. Let m be a(-6). Suppose -n - 3*w - t - 4 = 0, -4 = m*n + 2*w. Put -4, n, -1 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 47016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 3*c + 4. Let d(t) = 268*t**2 + 402*t - 536. Let s(j) = d(j) + 134*z(j). Let l(y) = 28*y**2. Calculate l(s(h)).\nAnswer: 502768*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -213*o**3 + 4*o**2 - 4*o + 8. Let w(p) = -55594*p**3 + 1045*p**2 - 1045*p + 2090. What is 1045*h(k) - 4*w(k)?\nAnswer: -209*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -5. Is s\/(-4) + (-30195)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 3*d**2 - 2*d - 3. Let z be p(-2). Suppose -z*s - 851 = 889. What is the common denominator of 85\/12 and (2 - 0)\/(176\/s)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 - 1720*a. Let v(q) = -2*q - 94. Give x(v(m)).\nAnswer: 4*m**2 + 376*m + 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/7)\/o*o\/o**2)\/(o\/o**(-3\/4)*o**(-4)) assuming o is positive.\nAnswer: o**(27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/5))\/l**(-17))**35 assuming l is positive.\nAnswer: l**623","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 9*t + 36. Let u be (0 + t)\/((-25)\/(-5)). Factor 0 + 0*v**2 + u*v - 2\/5*v**3.\nAnswer: -2*v*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let c = -2.038 + 0.038. What is the nearest to -2 in 1\/3, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/3 - 7*p**2 - 7*p. Let q be c(-9). Let g be (0\/(12\/q))\/1. Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 6474952.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 3. Let f = -54 + 111. Let n = -15 - f. Let p be (-456)\/n + (-2)\/6. Let c(i) = i. What is p*c(k) + l(k)?\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1814\/99 + 1\/99. Let w = 5177\/8 - 651. Calculate the common denominator of w and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 16*d - 15. Let t be k(-15). Let m(q) = q**2 - 15*q + 7. Let y be m(16). Solve b - 5*p + y = t, -4*p = 3*b + p - 31 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-1 - -10) + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1182 and 56766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-12 + 7 - -11)) + -20.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9281.005 millilitres in litres?\nAnswer: 9.281005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:48 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2110 in descending order.\nAnswer: 2110, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 48*x = -11*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 219084575 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373491*c - 22816 = 373123*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230 + 3?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6429 divided by 1\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 742020904 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-71 - 1)*1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 4. Calculate c(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 3334 = -4*p, 2*p = -2. Round g to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3149*30\nAnswer: -9.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdz when three letters picked without replacement from {b: 3, z: 1, d: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -532 (base 6) to base 12.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26956000 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-87495)\/(-315) - 6\/14)*(-3)\/(-2). Is 420 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221*t - 57?\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1930960*r**4 + 3*r**2 + 18559*r - 6 wrt r.\nAnswer: -46343040*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*v + 6*v + 5, -5*n + 5*v + 10 = 0. Suppose -20 = -5*x + 5, n*x = -4*c + 15. Solve d - 1 = -c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16838 + 15136. What is the second smallest value in 1, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23152425 (base 9) to base 11\nAnswer: 6397267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469\/6 + 570767\/7302. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/2 + 5*i**2\/2 + i. Let t be d(4). Let w = t + 14. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-55) - (-672)\/(-2244).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56844969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 - 5*i + 5. Suppose 8*y = 25 + 167. Let o(l) = 44*l**2 - 24*l + 24. Give y*u(t) - 5*o(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/22610 and -59\/342.\nAnswer: 203490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -615417 divided by -561?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46301022*l + 19188889.\nAnswer: -46301022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((-1*sqrt(11))**2 + -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g = 167*g + 36*g + 1872 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 + 8 + 943*(-1 + 2).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 70 = -2*b, 5*h - 5*b = -127 + 27. Let x = 20 + -10. What are the prime factors of x\/(-3)*18\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 20*f**2 - 12*f + 50. Calculate n(-19).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832) + (1*sqrt(832) - sqrt(832)) + 5 + 2 + -1)**2*-3.\nAnswer: -2739 - 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 0\/(-1) - (-74)\/(-8). Let w = z - -12. Which is the nearest to w? (a) 5 (b) -5 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/80 and -73\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/2555 and -19\/365.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-21)*((-4)\/(-14))\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/4 - 10*p**3\/3 + p**2\/2 - 4*p - 3. Let a(i) = -3*i**3 + 29*i**2 - 4*i + 12. Let x(t) = -4*a(t) - 11*b(t). Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 - 1 - 9 = 0. Solve 50 = -n*d + 92 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 4585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36019 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 57 - 1868 - 14616 - 5729)*(-z**4 + 0*z + 0*z).\nAnswer: 21935*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4134452.90651 - -4134433. Let l = -0.08399 + y. Let z = l + 20. Round z to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.213 + -75.213. Let n = -4 - 0. Which is the smallest value? (a) -13\/5 (b) w (c) -0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:16 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -6, 1, 12, 27?\n\"Answer: 2*t**2 - 3*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353159311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1221208 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + u + 8*u)*(-40*u + 11*u - 15*u) - 4*u**2 + 3*u**2 - u**2.\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8284309 or -8284301?\nAnswer: -8284309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 times -994?\nAnswer: -341936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 139*q - 270. Calculate the least common multiple of 30 and l(29).\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + 5. Let k = -104 + l. Let d = 75.000051 + k. Round d to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210 - -87. Let w = -10 - r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4769887*g**3 - 690645*g**2 + 4 wrt g.\nAnswer: -28619322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 16) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/11 - 16928*l**4\/11 + 35768834*l**3\/11 + 215019436*l**2\/11 + 39119080*l + 26087600.\nAnswer: 2*(l - 4235)**2*(l + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -475 and -3242.\nAnswer: -3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 0 + 2)*52\/52.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126708.\nAnswer: 2, 3, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 356386127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (99075\/(-3963))\/(((-2)\/(-2))\/1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/37 in -3, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/((-2)\/(-33)). Let l = 7 - 5. Suppose -12 = 3*t, 2*t + l*t = 5*b - 511. What is the greatest common divisor of d and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**2. Let c(f) = -59227*f. Determine c(y(b)).\nAnswer: 1006859*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1556357, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 13 = 4*b, 3*b = 2*b + 5. Which is bigger: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-4) + (1 - 2). Let k = z - 2. Let r = -2269\/8 - -284. What is the second biggest value in k, 0.1, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6776420429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumhhbm. What is prob of sequence hh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbvi. What is prob of sequence vbi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*(-1 + 2)*1. Suppose -9 = h - x. Find o such that -9\/2*o - 3\/2*o**h - 3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 60 = 3*r, 77*r = 5*u + 78*r - 94. What is the least common multiple of 90 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -180 + 50 + 139.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27478312*b + 27478363*b - 2754 = 0 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 1. Let n(v) = 2*v**2 + 2. Give 6*k(o) + 3*n(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*j + 5408 = 0, 52*q - 54*q + 10810 = -3*j. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*b + 132, -3*l + 3*b - 69 = 18. Let n = l + 28. Let v(i) = 3*i - 1. Determine v(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from ffkkkkk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/89 (b) -27 (c) -5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 12*t**2 + 10*t + 50. Let b be z(-10). What is the greatest common factor of 2025 and b?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -689*a**2. Let d(q) = q. Give d(i(c)).\nAnswer: -689*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.6 - -22.9. What is the fourth smallest value in r, -5, 17, -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 24620466?\nAnswer: -24620466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by 13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (-12 - -2 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.01 - -0.85. Let i = 2.26 - y. Which is the nearest to 2\/7? (a) -2\/11 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/7)\/(r*r**(-4)\/r*r))**(-34))**(1\/51) assuming r is positive.\nAnswer: r**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.057 - -18.057. Which is the biggest value? (a) -4 (b) x (c) -4\/11 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*u = 274*u - 7242 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 24. Is -2 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) + (-46)\/14. Let j be (k\/(-2))\/(3\/4). Suppose 2*d = -j*d + 24. What is the remainder when 17 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5085*c + 4. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99*((-4)\/96)\/(13\/(-390)*-15)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 433 and 45068120754?\nAnswer: 45068120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10 = -i, 2436*k = 2440*k + 5*i - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 13 + 17 = 5*l, 4*l + 5*o = 24. Suppose -6 = x - l*k + 2*k, -x = -5*k + 6. Let h(s) = s**2 + 6*s + 8. Calculate h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*m**2 - 31*m + 604.\nAnswer: -62*m - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12112*p**2 + 2136*p - 16. Let c(n) = 1730*n**2 - 305*n + 2. Let g(s) = -15*c(s) - 2*i(s). What is the second derivative of g(v) wrt v?\nAnswer: -3452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 8*d - 4. Suppose 5 - 21 = -2*x. Calculate j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21302 = 3*c - 2*w, -59*c = -64*c - 4*w + 35496. Is c a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19895 - -13632.5. Round u to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 154, 161?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 + 5 + -6 + 0. Suppose 5*b - 6 = -1. Let m = 1 - b. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75620791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17162568 at least as big as -17162571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9807188?\nAnswer: 2, 2451797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221.151 + 220.99. Let z = 0.84301 - 0.6836. Let u = z + c. Round u to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -46 + (-1275)\/(-75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 606553867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*c - 207, 5*c = -3*s + 154 + 77. Suppose 2*f = 28 + 58. Suppose 4*n - f = -11. Calculate the greatest common factor of n and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrzr. Give prob of picking 1 r and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7430000 rounded to the nearest one hundred thousand?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 28.6. Let y = -0.6 - w. Sort -0.3, -3, y in increasing order.\nAnswer: y, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 19*b**2 - 94*b**2 - 11*b**2 + 2 as v*b**2 + j + q*b and give v.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42529\/47835 + -1\/5315. Factor -b*k**3 + 8\/9 + 34\/9*k**2 - 40\/9*k.\nAnswer: -2*(k - 2)**2*(4*k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 18*x - 80. Let n be q(10). Suppose n = -3*p - 5*s - 26, -2*s - 2*s - 22 = 3*p. Which is the biggest value? (a) -148 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0 - 169\/2*y**2 - 63*y + 15*y**3. Find the first derivative of s(j) wrt j.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -5 - (-11 + 14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 7*w**2 - 6*w + 3. Let l be y(2). Let v = 2 - 2. Suppose v*t + 13 = -t + 4*k, 0 = -t + l*k - 11. Sort -2, t, 4, 5 in increasing order.\nAnswer: t, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 31*v - 772. Calculate c(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(880) + (sqrt(880) + (sqrt(880)*1 - sqrt(880)))*-5)\/((sqrt(275) - sqrt(11))*-5 - (sqrt(891) - -1*sqrt(891))).\nAnswer: -1 + 8*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321172 * -249.\nAnswer: 79971828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 17)*(-s + 0*s - s)*(28 + 33 - 69).\nAnswer: -304*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4 and -7 + 1085\/(-14010)*-91.\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 times -19.526\nAnswer: -5115.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900) + -5)*-4.\nAnswer: -40*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 70*d**2 + 105*d - 88. What is the tens digit of w(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-118)\/(-40)*10\/12 and ((-111)\/30 - -4)*(5622\/(-396) + 7).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1566 + -1103. Let z = m + -943. What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 185 = -145 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 734922 and 3429636.\nAnswer: 10288908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5 + 5*y + 2*y**2 - 3 + 2 + 7. What is the least common multiple of v(-3) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/40*15\/(-2)*(-4)\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 21. Let x be o(-11). Let h = -19 + x. Sort h, 0.09, 5 in increasing order.\nAnswer: 0.09, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 84. Suppose -4*d = -3*c - p, -1 = 2*c - 5. Suppose d*t + 21 = 6*t. Calculate the remainder when 82 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 - -3.1. Let d = r - 4.3. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let n be 9\/(-2)*4\/(-6). Let b = -14 - n. Let m(x) = -12*x + 17. Let i(u) = -4*u + 6. Let r(j) = b*i(j) + 6*m(j). Determine l(r(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((12495\/10)\/(-21))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/102 in 0.2, -100, 289, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 - 2*l**3 + 5*l**3 + 2 - l - 2*l**2. Let f be 22\/8 + (-21)\/28. Let c be y(f). Solve p - 4*u + c = 3, 2*p = -4*u + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 24. Solve -4*v + f*y = -24, y = -5*v + 7 + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -757 at most as big as -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2\/7 - 15273*q\/7 - 711204\/7 = 0.\nAnswer: -5044, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(9\/((-180)\/8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let a(o) = -1365495 + 67*o**2 - 5*o**2 + 2*o**2 + 1365494. Give a(d(k)).\nAnswer: 64*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -4, 1.3, -35?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = -3*k - n, 3*k + 5*n - 12 = 0. Suppose -k = 5*q - 19. Solve -w = 3*w + 5*l + 20, -w + q*l + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 249, 334, 417, 498, 577, 654?\n\"Answer: -h**2 + 88*h + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**4 - 3*x**3 + 61*x**2 + 15*x + 367. Let k(g) = -2*g**3 + 60*g**2 + 10*g + 366. Let t(v) = -3*k(v) + 2*w(v). Differentiate t(i) wrt i.\nAnswer: -8*i**3 - 116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49923.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/1107 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 + -25. Let u = -87 - m. Solve 2\/9*x**3 + 0*x + 0 - 2\/9*x**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2275 (b) 2\/5 (c) -2 (d) 4502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -215. Let q(l) = -l**2 + 25*l + 134. What is the units digit of q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**7\/840 - t**6\/360 - t**3\/3 + 3. Let a(c) be the third derivative of n(c). Factor a(v).\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11484993071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1 - 2*o + 4*o + 0*o. Let i be n(3). Solve -i*v = -3 - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*v - 36*v + 91*v.\nAnswer: 152*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74a57 (base 14) to base 11.\nAnswer: -1828a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4284 and -81\/29512?\nAnswer: 265608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3642 or -4.2?\nAnswer: 3642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1057 and 23620779?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.01 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or -11074?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*i + 15, 4*i + b - 3*b = -10. Suppose 4*z - 5*a - 6 = i, -4*z + 14 = -0*a - a. Does 16 divide (-126)\/(-4) + 2\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*11)\/(-1) + 0. Let m be 4\/((-12)\/(-3))*3. Solve 0 = 4*k + m*j + v, j + 5 = -k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. What is the closest to 0.4 in c, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-17 + 11) - (-14)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2812\/288 + -8 - (-3)\/(-2) and 73\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c = -14*c - w - 9, c + 54 = -6*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -16. What are the prime factors of l?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (39 - 42)) + 4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-332)\/4 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -8*c - 6. Let k be c\/20 + (-3)\/5. Suppose -s + 10 = 2*n, -s - 4*n + k*n + 6 = 0. Calculate the highest common divisor of s and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8509.016 millennia to centuries.\nAnswer: 85090.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 3 + 3 - v**2 + 0*v**2 + 2*v**2 + (v + 2*v - 2*v)*(-v + 6*v - 4*v) - 668*v + 216*v**2 + 668*v in the form z*v**2 + m*v + s and give z.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 4*z - 3. Suppose 2*k + 2*k - 40 = 0. Let t(m) = 12*m - k*m - 10 - 10*m - m**2. Let a be t(-5). What is d(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 54871.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = 3*d + 37*s - 10, 0 = -5*d + 3*s + 40. Let q(k) be the third derivative of 3\/2*k**4 + 17*k**2 + 1\/20*k**d + 0*k + 0 + 18*k**3. Factor q(l).\nAnswer: 3*(l + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 4*p = 0. Suppose p = 5*o - 9*o + 28. Let q(h) = -21*h**3 - 3. Let z(f) = -10*f**3 - 1. What is o*z(t) - 3*q(t)?\nAnswer: -7*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55888 and 253744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9a1 - -8?\nAnswer: c9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 5*y + 3. Let l(r) = -6*r**2 + 25*r + 16. Suppose d - 9 = 2. Let x(u) = d*f(u) - 2*l(u). What is the units digit of x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2188546430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 3. Let g be a(-6). Suppose -2*s + 108 = 2*v, s + v + 111 = 3*s. Let o = g + s. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-5)\/s)\/s)\/s**1*(s\/((s*s\/(s*s**2*s))\/s*s))**(-11))\/(s**(-10)\/(s\/(((s*s**3*s)\/s)\/s)))**(1\/6) assuming s is positive.\nAnswer: s**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -505 + 496. What is the units digit of (-571)\/(-1) - ((8 - 0) + p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2074892 and 37.\nAnswer: 76771004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470284.07 rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(sqrt(1568) + 1) - (2 + -4*(1*sqrt(2592) - sqrt(32))).\nAnswer: -96*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**4 - 4*g - 11\/2*g**2 + 0*g**5 - 7\/6*g**6 + 9 + 0*g**3. What is the derivative of x(o) wrt o?\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40 and 119\/139490.\nAnswer: 139490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-6)\/d)*d*d*d\/d**0)\/(d**(-3)*d*d*d**(-5)\/d)*d**0*d**7*d**7\/(d*d**(-2)) assuming d is positive.\nAnswer: d**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = -p - 1, -3*u = -3*p + 9. Solve 0*x + 5*x - 14 = 3*m, 0 = -4*x - p*m - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1172 and -65\/18?\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.4 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29064328?\nAnswer: 2, 3633041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 1782.7?\nAnswer: 1782.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/15, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 1. Let v be c(3). Let o(m) = m**2 + 34*m + 182. Let t be o(-29). Let h = t - v. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 564*a - 485*a + 498*a + 2323*a + 0 in the form j + o*a and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916364 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.05, -0.02, -3 in decreasing order.\nAnswer: -0.02, -0.05, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -156933+378812.8\nAnswer: 221879.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 0)\/(-2)*5. Suppose 0 = p + r*t + 6, 4*t - 12 = -4*p + 2*t. Let l = p - 3. Is l greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 - -0.047. Let s be (-924)\/(-40) - 2\/(-4). Let r = -24 + s. Which is the smallest value? (a) -3 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 - 1056*y**2 + 1115136*y = 0. What is y?\nAnswer: 0, 2112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011100111 + -110100?\nAnswer: -1100100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 + 42876*a - 300181 = 0.\nAnswer: -42883, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000100001110000 + -1111?\nAnswer: 1000000100001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, -0.2, 7\/20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:22 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5075 - -12067. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 75769.6120999635 and -1.\nAnswer: 75768.6120999635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145*-0.4.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 111*j**2. Let l(x) = -x. Give l(u(w)).\nAnswer: -111*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 13. Let r be g(3). Let c be (3\/r)\/((-10)\/(-80)). Is (-1)\/((24\/10436)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -3, -126 in ascending order.\nAnswer: -126, -3, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000119627617 to 7 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 10:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316722 is divided by 101?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6007353, 6007348, 6007329, 6007290, 6007225, 6007128, 6006993?\n\"Answer: -j**3 - j**2 + 5*j + 6007350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210*0.02\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/3)\/b)\/b*(b\/(b*b**(-2\/17))*b*b)\/b)\/(b**(-2\/3)*b**4) assuming b is positive.\nAnswer: b**(-130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8*c - 12. What is the second biggest value in c, 3\/2, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493*u**2 - 15*u + 4572*u**2 - 146*u**2 + 1 + 2220*u**2 - 2*u.\nAnswer: 5153*u**2 - 17*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1820, -3633, -5444, -7253, -9060?\n\"Answer: r**2 - 1816*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1164*r - 5840. List the prime factors of n(-39).\nAnswer: 2, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 312, 344, 376, 408?\n\"Answer: 32*c + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1449, 2941, 4433?\nAnswer: 5925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (33 + 16 + -27)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + -3)*2)**2 + -3*sqrt(117) + 2 + sqrt(117).\nAnswer: -150*sqrt(13) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -289*p**3 - 18*p**2 - 22*p + 7. Let r(l) = 145*l**3 + 8*l**2 + 10*l - 3. What is 4*a(c) + 9*r(c)?\nAnswer: 149*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**29\/s*s)*s)\/s)\/s*s\/s**7 assuming s is positive.\nAnswer: s**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644475.\nAnswer: 5, 139, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11743.\nAnswer: 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24143422 + 10?\nAnswer: -24143412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.2 to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -57, -162, -371, -720, -1245?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/4 (b) 0.2 (c) 2\/11 (d) -118 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o + 22. Let a be f(-11). Let d be 2\/((-4)\/(-2)) + a. Suppose -y + d = y. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i - 66*i = 0. Solve 0 = -4*s - 2*j - i*j + 24, -3*s - 4*j = -23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.6. Let y = 6.7 + -7. Let c = y + x. Which is smaller: c or 1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 21*z - 13012 = -90397. What are the prime factors of z?\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/8856*16)\/(-3)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n - 4. Let a be c(3). Let o = 5 - 1. Suppose 11 = 4*f - y, -o*f = 5*y + 24 - 65. Solve -f*k + 9*k - a = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*g - 55 = n, -316*n + 318*n + 8*g - 114 = 4*g for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2988 = 3*o, 4*o + 4 + 0 = 0. Suppose -4*j + b = -2*t - 981, -3*j = 2*t - 1201. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (14\/(-21) - 3). Let t be 12\/9*2\/(-4). Suppose -75 = 786*l - 771*l. Which is the second smallest value? (a) l (b) 5 (c) t (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 4, x: 3}. What is prob of picking 2 x and 2 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-63)\/(-6))\/(-7). Suppose -4*z - 2*m = -3*m - 297, k*z + 2*m = 220. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109684809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/15 + 78\/15. Let w(x) = -13*x - 1. Let v be w(-2). Suppose h*p + 0*p = v. Which is the third smallest value? (a) p (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 5*j - 2*v + 152, -3*j - v = -8. Factor 0 + 0*s + 3\/8*s**4 + 3\/4*s**2 - 9\/8*s**j.\nAnswer: 3*s**2*(s - 2)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 195. Suppose 76 = j*g - 132. What is the greatest common divisor of g and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883805?\nAnswer: 5, 13, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46920 by -9384.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*d**3 - 295*d**2 wrt d.\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuufpppzppfuppfpup. Give prob of picking 1 f and 1 p.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 464927 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + 19. Suppose -x*n + 439 + 849 = 0. Suppose 3*z = z + n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205735, -411473, -617197, -822901, -1028579, -1234225, -1439833?\nAnswer: -1645397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmigaammmgmnagam. What is prob of sequence agng?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*z + 53 = 157*z + 3331 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 5*q**2 - 4*q**2)*(-30*q + 7*q - 5*q).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44794 + 0.04794. Which is the nearest to 0.067? (a) 0.08 (b) -5 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and 67\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 2, q: 6, j: 8}. What is prob of sequence qq?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjjxx. Give prob of sequence xxjx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**4 - 1096290*g**3 + 2192595*g**2 - 1096300*g = 0.\nAnswer: -219260, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-4*16\/(-4608)*3\/(-2)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 7*h**3\/6 - 2*h**2 - 219*h. Give d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103635.783 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + (-704)\/48)*3\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8316268598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16*((-252)\/(-16))\/7. Let l = o + -25. Let h = 13 - l. Solve 0 = -h*b - 5*d + 22, 0 = 5*b + d - 2 - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 25*k = -26*k + 66 - 19, -4*k = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 137*y**3 - 2*y**2 + 72*y**3 + 63*y**3 in the form j*y**3 + d*y + u + i*y**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 215*g**2\/2 + 107*g.\nAnswer: g*(g + 1)*(g + 214)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1463935 and 0.1.\nAnswer: 1463935.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.5, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44575839749 and -1141.5?\nAnswer: 44575840890.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4301\nAnswer: -4301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1838200832 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from argqw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10010100000 (base 2) to base 16\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 86*m**8\/7 - 137*m**4\/6 + 11*m + 7. Find the third derivative of c(h) wrt h.\nAnswer: 82560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = 4*y, 2 = 2*u + 5*y + 17 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 18*o + 3*i - 12 = 0, -2*o + 4*i - 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2469 - 0.0469. Let b = -0.2 - 14.8. Let j = b - -13.8. Sort -5, j, r in increasing order.\nAnswer: -5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-27)*(-189)\/35.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.0171, -3\/2, 2\/7, -2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 2523.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x + 153. Let b be j(14). Let o(a) = -2*a - 1. Let c be o(-3). Let t be b\/15 - (-2)\/c. What is the smallest value in t, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286134 divided by 618\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/1 - (-6 - (5 - 6)). Suppose 0 = 13*j - l*j, 0 = 3*f + 4*j. Put f, 2, 4, -1 in ascending order.\nAnswer: -1, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288216539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-9 - (-13554)\/126)*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -540, -3, 1149, 1, -4, 3.\nAnswer: -540, -4, -3, 1, 3, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4069 + 44*l - 1352 - 1358 - 1359.\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.151 take away 2.28?\nAnswer: -2.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -78*s + 107 - 164 - 106 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.72 (b) -1\/4 (c) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 6*k - 2*k + (-6 + 3 + 1)*(-4 + 1 + 0)*(5*k - 2*k - k) in the form p + q*k and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 15*x - 1. Let b be d(4). Solve 11 = -b*a - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3270 and 72176094.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(9) + sqrt(36)))**2 + 3.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881630 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let p(u) = u**2 - 3*u - 2. Suppose b = -3*b + 12. Let s(t) = b*a(t) - p(t). Determine s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -30 (b) 9\/8 (c) 0.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let r(t) = -1. Give -r(b) - u(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Suppose 2*r = 3*n - 8, 0*n - 5*n - 16 = 4*r. What is the second derivative of x**2 + s*x + n*x - 3*x - x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from fffuouggggufufzfffzf.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1c?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 2, s: 8}. Give prob of picking 2 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2379855\/8 or 12\/17?\nAnswer: -2379855\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 205*d**2 - 7*d + 0*d.\nAnswer: 205*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 3. Let p(f) = -2*f + 3. What is 3*b(l) - 4*p(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - 7 - 5\/1. Let p = 8 + w. Solve 4*t = 3*l - 28, -3*l - l + p*t = -28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.5, 2\/3, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 x when four letters picked without replacement from fxflxxlffflxxl.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -516\/433 - -1465\/866. Let k = -0.3 - -0.34. Which is the fourth smallest value? (a) k (b) -0.3 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 15) + 5 + 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7)\/(((-48)\/(-72))\/(4\/18))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1473 (base 9) to base 8.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7\/13, -3\/2 in increasing order.\nAnswer: -3\/2, 7\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21540 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (770\/33 + -24)*(-42)\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31*m**2 - 5*m. Let r(q) = -481*q**2 + 78*q. What is -78*g(u) - 5*r(u)?\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-444)\/(-22) - 14\/77. Suppose 6*k - z = k. Suppose l - u - 20 = 0, -k + 2 = -l - 5*u. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -18. Let w = i - -28. Solve 4*z = 2 - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 157*l - 143 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 164542\nAnswer: 2797214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3831.61027\nAnswer: -1532.644108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - 3670\/(-115) - 891\/69.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3494 - 0.5\nAnswer: -0.8494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31158*n**2 - 3 - 3 + 31081*n**2 + 6.\nAnswer: -77*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 = 2*q, -4*z - 13 - 3 = 0. Suppose 2*p - 15 = 3*i, 5*p = -i + q*i + 18. What is the least common multiple of (-534)\/(-24) - p\/12 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 155950.08 from -989904.\nAnswer: -1145854.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 + -37?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5 - 147*f + 35 + 0 - 30 in the form r*f + z and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose -c + 0*c = -1, 13 = 5*o - i*c. Find the second derivative of 3*m**2 + o + 2*m - 3 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 80*g - 18 - 26 - 27 + 122 - 24.\nAnswer: 80*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 249661, 249663, 249665, 249667, 249669?\n\"Answer: 2*q + 249659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*8\/(-3). Let k(i) = -j*i**2 + 0*i + 0*i + 5*i**2. Let n(g) = -3*g**2. What is k(n(m))?\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from {q: 1, r: 1, d: 3, i: 2, p: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/40)\/((-19)\/(-57)*3\/95).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (2 - (7 + 3)). Suppose 0 = k + 5*j - 2095, 6285 = 3*k - 0*k + i*j. Suppose 0 = 12*t - 7*t - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86141605*n**2 + 1 - 1 - 86141554*n**2.\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + -1 + -1)\/(-2). Let f = 5 + i. Suppose 3*g + 3*z - 3 = f, -2*g + 35 = -7*g + 3*z. What is the biggest value in 0.3, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 3495954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 17*c - 13*c + 7692, 5*r = -4*c + 3828. What is the highest common divisor of 2496 and r?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9353 or 10679?\nAnswer: 9353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -l - 102, -7076*l + 7079*l - 90 = -3*y for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 15 - 3. Let g = 68 - j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 115, 263, 459, 697, 971, 1275?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.278 and 1.\nAnswer: 0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795981 bigger than 2795981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -62, -78, -78, -56?\n\"Answer: v**3 - v**2 - 30*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3865.6 and 78.\nAnswer: -301516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + -8 + 1 + (-337 - -332)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q - 2*b - 4, -2*q - 4 = 2*b. Suppose q = u - 0*u - 19. Suppose -2*x - u = -3*x. Solve 0*o = 3*o - 2*f + x, -5*o - 33 = -4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 10 = 25*o. Suppose -4*w + w + 5 = -o*h, h = -2*w - 1. Sort 3, -7, w in decreasing order.\nAnswer: 3, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = -4*s, -25*q + 30*q + 2*s = -13. Let l be 2\/(q + 5)*3\/(-6). Which is the second biggest value? (a) -73 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczoqwd. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 782091.7 kilograms in grams?\nAnswer: 782091700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*f - 3*f - 25, 2*q - 3*f = 9. Factor -2*c**3 + 10*c**2 - 17 + 6 - q*c - 7.\nAnswer: -2*(c - 3)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 17940*q**3 - 3682800*q**2 - 245939760*q - 5442299280 = 0. Calculate q.\nAnswer: -66, 3786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-196)\/(-6))\/((-25)\/15). Let m = -20 - f. Let r = 1\/84 - -5\/21. What is the biggest value in m, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 2, j: 1, n: 2, p: 1}. What is prob of picking 1 p and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1400 and -109\/2194220.\nAnswer: 21942200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1758067740?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by 1\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 6. Let k be (-1 + 4)\/(-3) + 3. Calculate the least common multiple of m(k) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931))**2*6 + -4.\nAnswer: 5582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, -4, -0.2, -3, 7001?\nAnswer: 7001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((sqrt(300) + (sqrt(300) - 1*sqrt(300)) + 4 - (sqrt(300) - -3*sqrt(300)*2))**2 + -4).\nAnswer: -1920*sqrt(3) + 43250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5141*n - 5145*n + 30 = g, -5*n - 5 = -3*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006977021 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 + 2085*m**4 - 62*m**3 + 3243*m**2 - 1331*m wrt m?\nAnswer: -240*m**3 + 50040*m - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3181, 6354, 9513, 12652, 15765?\n\"Answer: -s**3 - s**2 + 3183*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 8*d - 41. Suppose -z = -c + 21, d*z + 3*c + 105 = 7*z. Is 4 a factor of -3*((-76)\/z)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2))**(-10))**(-5) assuming r is positive.\nAnswer: r**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203890.64 rounded to the nearest 1000?\nAnswer: 1204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 34. Let k be i(-4). Find the second derivative of -78*d - 7*d**5 + 30*d**5 - 113*d + k*d wrt d.\nAnswer: 460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 376202 = -26*x + 434270. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 + j - 1. Let d(g) = 10*g**3 - 3*g**2 - 5*g + 4. Let c(a) = -d(a) - 5*y(a). What is the hundreds digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 594 = -6*c + 4*i, -3*c = -3*i - 357. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c80 (base 13) to base 14.\nAnswer: 654b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06567 - -0.0638507. Round y to 5 dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 515967 - -3?\nAnswer: 51596a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 17, j: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {c: 2, x: 2, l: 1, g: 1, o: 3, t: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 3*o + 45. Let l be m(0). Let q = l + -40. Suppose -5*f = q*s - 30, 4*s = -0*f - 2*f + 18. Solve 0 = f*i + 2 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 428*u - 3363. Give w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -200021210?\nAnswer: 200021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 207, 325, 445, 567, 691?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 6:35 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(29*u + 4*u - 9*u) + (3 + 1 - 2)*(3*u + 0*u - u) + 4*u - 4*u + 5*u as a + x*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*r + 6, -5*b = -2*r + 5 - 15. Suppose -b*a + 3 = -a. Suppose -a*y = -2*y - 7. Calculate the remainder when 12 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-240)*5)\/((-4)\/(-96)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -115\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -440 + 734. Let v = 505 - p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -492 and -0.3991.\nAnswer: 196.3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1931278.52 to the nearest 10000.\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Suppose 13 = 2*x - 0*k - k, -5 = -d*x - 5*k. Solve -y + t = -3, 2*y - x*t - 2 = 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 0. Differentiate 5 + d + m**4 + 1 wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5888)\/(-3680)*18\/(-8))\/((-3)\/40)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1061*l - 2487*l - 2537*l + 6175*l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*142275\nAnswer: -14227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 + 15516?\nAnswer: 15720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1454*j - 32019 - 2877 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 70, 3, 2\/31, -6, -1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/11 - 55012*j**2\/11 + 55014*j\/11 = 0 for j.\nAnswer: -27507, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 401 - 299. Calculate the highest common divisor of 1275 and s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872) + sqrt(1872) + (sqrt(1872) - sqrt(1872)*-1) + sqrt(1872))*-1)\/(((sqrt(96) + sqrt(96)*2)\/sqrt(2))\/(sqrt(300)*-1))*-2.\nAnswer: 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 645615 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckp when three letters picked without replacement from {p: 3, c: 4, k: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qxnmxqcqxcnqctxqxmq.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 4*f**2 - 4*f**2 + 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 - w + 1. Let d(y) = y**3 + 2*y**2 + 14*y - 6. Let u(z) = -d(z) - 6*l(z). Let r(i) = -4*i**3 - 3*i**2 + 7*i. Determine -6*r(n) - 5*u(n).\nAnswer: -n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644030.\nAnswer: 2, 5, 64403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 644 - 273. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 3*c - 55, c - 19 = 2*n. Solve -4*w = -v + c, 7 + 11 = 2*v - 5*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569 = 8*u - 159. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8862.\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/14 + (-114)\/(-14). Suppose 2*d = h - 6. Let i(v) = -v**2 + v - 1. Let y(z) = 6*z**2 - 7*z + 2. Calculate d*y(c) + 4*i(c).\nAnswer: 2*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 70673, 71411, 72149, 72887, 73625?\n\"Answer: 738*s + 69935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fww when three letters picked without replacement from {f: 5, w: 10, p: 4}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and -3 - (-4)\/((-4)\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890 = f - 6*f. Suppose 595 = -14*u + 9*u. Let l = u - f. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 smaller than -11\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 571.9 and 5263.\nAnswer: 3009909.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 20 + 50 - 24 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 11 + 225*n**3 + 18 - 175*n**3.\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1143, -1167, -1191, -1215?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 10*s - 5*s**3 - 4*s to the form f*s + r*s**2 + x*s**3 + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 4*d**2 - 5*d**2 - 7*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.65919 from 23.05.\nAnswer: 22.39081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -103*r**2 - 8359*r + 16715. Give a(2).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(22)\/sqrt(2)*-6 - ((1 + sqrt(396))*-2)**2.\nAnswer: -1588 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 3*o - 3. Suppose 4*n - 37 + 1 = 0. Let c(t) = 2*t - n*t - 9*t + 20*t**2 + 6*t**2 - 16. Calculate -3*c(v) + 16*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 11*p**3 - 9*p**2 + 11*p + 10.\nAnswer: -(p - 1)*(p + 1)**2*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-8 - -3) - (-18 + 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -2*g, -g = 2*t + 5 - 13. Suppose 4 = -5*y + y. Let c be g*y\/(-2 + 1). What is the greatest common divisor of 16 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egegeegegggg. Give prob of picking 2 g and 2 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -50, -121, -240?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 - 26968652*s**4 - 53937274*s**3 + 296655152*s**2 + 323623704*s - 970871328 = 0.\nAnswer: -13484324, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-3)\/sqrt(9) + -2*sqrt(10)*3)\/((sqrt(98)*3 + sqrt(98))*-3).\nAnswer: 3*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x. Let y(b) = -11*b - 3. Let p(c) = -12*c - 4. Let t(h) = 2*p(h) - 3*y(h). What is 7*f(m) + 3*t(m)?\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 24*p**2 - 20 + (-2 + 2 + p)*(2*p - 4*p + 4*p) - 2*p - 5*p**2 - p + 6*p to o*p**2 + q + l*p and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 - 15 = 0. Suppose b + 7 = 5*u, u + 0*u + t = 2*b. Let s be 2*u\/20 - (-68)\/10. Solve -2*w - s = 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 3456953527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 66923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5415789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + -3 + -2 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and -9.96.\nAnswer: -159.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - n = -1484 - 262, -5*i = 2*n - 2181. Calculate the highest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1852 + -1864. Sort -0.4, 0.2, s in descending order.\nAnswer: 0.2, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 91*h**2 - 2*h + 1. Let w be s(1). Let k(o) = -3*o + 54. Let u be k(2). Let t = w - u. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/42)\/(-29)*1\/(10\/((-2280)\/(-6))).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 604, 624, 644?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r**3 + 91*r**2 + 91*r. Let d be (-183)\/2 + (-2)\/(-4). Let f(u) = 518*u**2 - 4 + 4 - 512*u**2 + 6*u - u**3. Calculate d*f(z) + 6*a(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 - 2)*(-86*p + 70*p - 80*p) + 61 - 61 - 15*p)*(-p**3 - 2*p + 2*p - p) as i*p + r + a*p**2 + o*p**4 + y*p**3 and give a.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*m - 842 = -854, 5 = 2*b + 2*m - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11732 = -767*x + 15113 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p**2 + 5*p. Let k(a) = -172*a. Give r(k(y)).\nAnswer: -325424*y**2 - 860*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684, 3946, 11586, 25410, 47224, 78834, 122046, 178666?\nAnswer: 250500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -8 - (-15 + 23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v = -15*v + 70. What is the biggest value in v, -1\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1128*d**3*s**2 - 19*d**3 - 4*d**2*s**3 + 2*d*s**3 - 48*d*s**2 + 41942*d wrt d.\nAnswer: -6768*d*s**2 - 114*d - 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/5 + 53\/20. Let o = 210.5 + -211. Let z be 3\/7 + 0 + 0. What is the nearest to n in o, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 + 4*h - 3. Let p(f) = -2*f**3 + 4*f**2 - 3*f. Let k be p(2). Let l be s(k). Suppose n = -2*n + 12, 5*g = 2*n + l. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -708 or -2831\/4?\nAnswer: -2831\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 595496, 595498, 595500, 595502?\n\"Answer: 2*l + 595494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -630*b**2 - 17*b - 2 wrt b.\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -615*z + 5149. Let h be y(14). Is 0 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 7*x + 123. What is s(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5572009240 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 41 = 831. Suppose 0 = -5*o + c + 320. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -11.8?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48007452 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203754323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/3)\/(28\/42). Sort 5, -3, v in decreasing order.\nAnswer: 5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {r: 6, c: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/868921 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11560755 < 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -35186\/11 > 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014286121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9045 and -1.\nAnswer: 9045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 100639080.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 9*s**4 + 69*s**3 - 99*s**2 + 42*s = 0. What is s?\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/187 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-5) - (-6)\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, 2107, 9, -0.5, -11, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose -15 = m - 6*m - 5*j, 5*j = -15. Suppose 3*w = -t + 15, 0 = -m*t + 4*t + 6. Solve -k + 0 + w = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111000001011 (base 2) to base 11\nAnswer: 14013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - 0 - (-44 + 41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 16 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 259*l - 7 - 374*l + 118*l - 2*l**2. Let u(z) = -z**2 + 2*z - 3. What is 7*u(y) - 3*w(y)?\nAnswer: -y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**2*f**2 - 3*a**2*f - 15290*a**2 - 15*a*f**2 wrt f?\nAnswer: 6*a**2*f - 3*a**2 - 30*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**3*y**2 + 2*w**3*y + 49*w**3 - w**2*y + 17700*w*y**2 + 3*w - 579 wrt y?\nAnswer: 6*w**3 + 35400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w. Let k be j(2). Let a = k + 26. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 divided by 15876?\nAnswer: 751\/15876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2323135 and 1810?\nAnswer: 4646270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a + 3*a)*(-a**2 + 105 - 54 - 8*a**3 - 50) to the form f*a**3 + r + y*a + t*a**4 + z*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-4)\/16*-4)\/8). Let c(g) = -g**2 - 11*g - 18. Let v be c(y). Suppose 0 = j - v + 9, 4*q - 858 = -2*j. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3055 + 2900. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.3 + -10.35. Which is the smallest value? (a) u (b) -1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 36*g + 35. Let h(y) = -6 - 4*y + 4 + 3. Let o(v) = 9*v - 3. Let c be (-8)\/(-4)*6\/(-4). Calculate c*o(k) + g*h(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*m + 84, -c = -5*c + 2*m + 136. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -226*u + 206. What are the prime factors of v(-8)?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4226425 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -447 + 1477. Does 67 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -52918 (c) -3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 9776.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**3*p**2*y**3 - 68*j**3*p*y + 7*j**2*p**2*y**2 - 6*j**2*y - 1178*j*p**2*y**2 + 5567603*p**2*y**3 wrt y?\nAnswer: 24*j**3*p**2 + 33405618*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53303000 rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.269515, -3, 1.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/28, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n - 3*i + 6283, -i = 2*n + 12594. Let r = n - -2108823\/335. Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**2 - 3*d. Let b = 86 + -91. Let w(l) = 8*l**2 - 2*l. What is b*o(y) + 6*w(y)?\nAnswer: 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1704128\/13 or 131087?\nAnswer: 131087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g + 3*o, 0*g - 2*g - 4*o = -4. Suppose g = 4*q - 1 - 7. What is the third derivative of -2*m**q + 3*m**6 - m**2 + m**2 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020099 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227*411.\nAnswer: -93297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*r. Let f be 49*(1*r - (5 - 2)). Let v = f + 4. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -1. Let s = 116 - 249. Let k = -128 - s. What is the second smallest value in 4, k, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 885 + 942 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047045 and 1740.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**3\/2 + 6*o**2 + 20*o. What are the prime factors of g(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l**2 + 21*l**2 + l**3)*(3*l**2 + 2*l**2 - l**2) - 5*l**2 - 606*l**5 - 5*l**4 + 600*l**5 + 7*l**2.\nAnswer: -2*l**5 - 5*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 4 - 5)*1. Let t be (1 - 5 - -5)\/(y\/(-2)). Suppose -4*s + 3*k - 12 = 0, -3*k - 9 = t*s + s. Put 2, s, -6 in ascending order.\nAnswer: -6, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 48*i**2 - 1385*i + 509. Calculate o(20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*d + 2*g, 0 = -3*d - 2*g - 3*g - 4. Let t(v) = -1 + 2*v + 5*v + v - 5*v. Calculate t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 24 - 12 + (-5 + 3 + 1)*(-2 + 3 + 5))*(-4*f**2 + 4*f**2 + 3*f**5) - f**5 + f**5 + 2*f**5.\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3187033?\nAnswer: 3187033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 1 - 1)*(-l + 4 - 4) + (1 - 3 + 3)*(2*l + 0*l - 3*l)*(1 + 0 - 2))*(-l**3 - 7 + 7) to g*l**3 + w*l**2 + q*l**4 + t + k*l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21713386 - 21713386 - 34*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 6, 25, 4, 558 in ascending order.\nAnswer: -52, 4, 6, 25, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose -d*g + g + 9 = 0. Suppose -288 = 7*l - 19*l. Solve -a - 5*x = l + 6, -g*x = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11151200 (base 6) in base 7?\nAnswer: -2620365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2 and -64?\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 809\/44 + -414\/11. Find the common denominator of w and -75\/236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -21 (b) 1\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmn when three letters picked without replacement from nddmnmdn.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - ((-2 + sqrt(684))*-1)**2.\nAnswer: -688 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 29. What is the closest to 1 in -0.5, -1, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 351547\/90 + -3906. Let g(m) be the second derivative of 0 + u*m**6 + 0*m**2 - 1\/9*m**3 + 1\/12*m**4 - m + 1\/5*m**5. Solve g(w) = 0 for w.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509252898 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p - 34. Calculate d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -329*w**2 + 663*w**2 - 335*w**2. Let h(k) = 7*k - k + 2*k. Calculate d(h(g)).\nAnswer: -64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 7*l**2 + 8 + l**2 - 5*l**2 - l. Let h be p(-10). Suppose -272 - h = 4*f. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(3\/14) assuming r is positive.\nAnswer: r**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6\/((v**(3\/10)\/v)\/v)*(v*v\/v**2)**(-44) assuming v is positive.\nAnswer: v**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20 - 6579*a - 26*a**4 + 6579*a wrt a?\nAnswer: -104*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 690 and 9591.\nAnswer: 95910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1795 + 11304?\nAnswer: b72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4410\/700*16\/84\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299 + 102. Let z = 796 - b. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38950000 rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 7*q + 4. Let n be w(-4). Let x be (-1)\/(-2) + (-28)\/n. What is the third biggest value in 4, x, -2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = n + n + 4*t, -5*n = -4*t - 72. Let o be ((1898964\/n)\/(-3))\/(2\/(-8)). Let j = -64753 - o. Round j to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 9*m - 30. Is 323 + 13\/((-65)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42539 is divided by 243?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.2696 nanometers to millimeters.\nAnswer: 0.0006122696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -83\/3 (c) 72 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 432*o - 321. What is the remainder when 11325 is divided by c(53)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 2*b**2 - b - 1. Let j be q(-1). Is 32\/4 - j*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48645354 is divided by 1705.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2101 - -21029\/10. Let m = 716 - 7147\/10. Calculate the common denominator of y and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-60) - (-4)\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.4 (c) -0.3 (d) -111\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181\/3 + 61. Factor -2\/3*i**2 + 0*i + j.\nAnswer: -2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - 1707\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10560 is divided by 277?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/9 - 697*y**2\/3 + 52816*y\/9 - 59248\/3.\nAnswer: -(y - 21)*(y - 4)*(y + 2116)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1773.0429 microseconds to minutes.\nAnswer: 0.000029550715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 854 - 1395. Let o = 538 + f. Put -17, 0, 0.2, o in descending order.\nAnswer: 0.2, 0, o, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(225)\/(sqrt(10)\/sqrt(2))*-3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 298056226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621935 is divided by 17769.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Suppose -2*w - 4 = -3*w. Suppose w*m - 8*m + 4 = 0. Calculate c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/4 - (2 + (-18)\/12). Let k be (-9)\/o*(0 + 2 + 3). Let b be (9\/k)\/(14\/4). What is the second biggest value in b, -3\/4, 1.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3)\/((-2)\/2). Calculate the remainder when 39 is divided by 1*t\/2 - -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.5517 and -11.\nAnswer: -24.5517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 0 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -127.999891. Round y to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 5*f - 13 + 5 + 4*f)*((-3 + 6 - 2)*(0*f**3 - f**3 + 4*f**3) - 4*f**2 - 4*f**3 + 4*f**2).\nAnswer: -2*f**5 + f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2460\/(-190) - (-9 - 2064\/(-228)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7804741 at most as big as 7804742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 118777589.8 to the nearest one million.\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o + 1. Let i(s) = -4*s**2 + 6*s + 12 - 14 - 4. Calculate -i(f) - 5*p(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 4. Suppose d - 64000 = -h*d. What is d rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 38 + 8. Let o = 14 + a. Suppose -o = -y - 0*y. What is the least common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1230\/7 - 176. Let n = -0.8 - -0.3. Let t = 0.7 + n. What is the smallest value in -4, d, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/(6\/(-60))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-18)\/27*6\/(-8). Suppose 97 = -38*x + 249. Calculate the highest common divisor of h and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g - 11*g**2 - 23*g + (0 + 0 + 2*g)*(-2*g + 4*g + g) to the form l*g**2 + n + z*g and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*o - 7*o + 15, 0 = -f + o - 6. Let r(v) = v**2 - 2. Give r(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15040000 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(448)*-1)**2 + ((sqrt(70) - (sqrt(70) + 3*sqrt(70)*1 + sqrt(70)))\/(6*(sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(4)))))**2.\nAnswer: 4051\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 116, 17, 3 in descending order.\nAnswer: 116, 37, 17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36641 is divided by 5232.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18215000 is divided by 64822.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 1, e: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7)\/7 - (-15)\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/25)\/(78\/(-975)). Determine z, given that 0 - 4\/9*z - t*z**2 - 8\/9*z**3 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - t**2 - 33*t**2 in the form f + g*t + o*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:18 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1333414 + 31352?\nAnswer: 1405210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 877822 to the power of 1\/2, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58878029 a multiple of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l - 292 + 82 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, a: 4}. What is prob of picking 2 a and 2 u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 2, q: 1}. Give prob of sequence wq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 360.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 561.7 * 0.7432\nAnswer: 417.45544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l + 42*l + 10 = 0. Let c(x) = -52*x**2 + 20*x**2 + 80*x**l + 185*x**2. Let h(f) = 3*f**2. Give h(c(p)).\nAnswer: 162867*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 615.0761 millilitres to litres.\nAnswer: 0.6150761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbgppbbpbbmmbmg. What is prob of sequence pbm?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 3*g = 0, 0 = -4*m - 3*g. Solve -2*k - 5*a + 0*a - 30 = m, -k - 1 = -a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468005747.\nAnswer: 11, 42545977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -5 (c) -1 (d) 2 (e) -1497.84 (f) -2\/9 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -494*x**4 - 91*x**4 + x**2 - 2*x**2 - 655*x + 514*x - 661*x wrt x.\nAnswer: -14040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**5\/5 + 33*y**4\/4 + 5*y**2\/2 + 2*y - 318. Find the second derivative of t(a) wrt a.\nAnswer: 12*a**2 + 198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/180 + 5*q**4\/36 - 25*q**3\/18 + 29*q**2. Determine x, given that f(x) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 56*r**2 + 21. Let l(i) = -i**2 + 1. Let u be (-2)\/(((-28)\/63)\/(2\/(-9))). Let k(j) = u*n(j) + 21*l(j). Let z(x) = x**2. Determine k(z(c)).\nAnswer: -77*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10117340 is divided by 82929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 24*j**2 - 26*j - 34. What is s(-25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-18 - -12 - 31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(2520\/(-21))*(-50)\/22.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57703\/12 - -4814. Calculate the common denominator of h and 67\/16 + 2\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-498)\/(-18) - 13)*290\/1914\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - (-8)\/(-12). Let y = 10\/63 + h. What is the biggest value in -0.5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.98921 - -167. What is p rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -243 and -44988.\nAnswer: -45231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 55*f**8\/336 - f**6\/40 - 11*f**5\/60 - 1449*f**4\/4 - f**2 + 1530*f. Find the second derivative of r(s) wrt s.\nAnswer: 1100*s**3 - 18*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahd when three letters picked without replacement from {d: 1, p: 1, y: 2, f: 1, a: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 294 in 412395, 1\/7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1284454.9894 - -1284344. Let n = -111 - m. Round n to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160020?\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ad (base 14) in base 10?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 161*i + 4853. Let u be y(-26). Solve 673 = -3*d + u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 5401?\nAnswer: -5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 809750 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58868 is divided by 14351?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 48 - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 11:27 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 3*r**2 - r + 1. Let j be x(2). Let y = 34 + -30. Let s be (-2)\/4 - ((-14)\/y - -3). Solve j*g + g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(76) - (-2 + (1*sqrt(76) - sqrt(76) - sqrt(76) - sqrt(76) - sqrt(76))) - (-1 + sqrt(76) + 1)))**2 + 2.\nAnswer: 24*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 2340?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1023*n - 1117. What is the thousands digit of v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r + 0*r**3 + r**2 + 1\/8*r**4 + 3. Let t(i) = -3*i + 0*i - i. Give h(t(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07317, 0.3, 0.5.\nAnswer: -0.07317, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -19*m + m**3 - 73*m + 2*m - 14*m**2 - 3*m**3. Let r(q) = q**3 - q**2 - q. Let c(h) = -p(h) - 6*r(h). Determine i, given that c(i) = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*j - 12, 128 = 2*g + 4*j + 121 + 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3341\/6*u**3 - 98\/3 - 3119\/2*u**2 + 338\/3*u**4 + 1316\/3*u = 0.\nAnswer: -7, 2\/13, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100001011 (base 2) to base 10.\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:57 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 + 3. Let g(c) = 440*c**2 + 64. Let z(n) = -3*g(n) + 64*y(n). Let o(x) = 4*x. What is z(o(h))?\nAnswer: 384*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -26. Suppose -4*p = -19 + t. Suppose -p*l = -8*l + 580. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.194279ml in litres?\nAnswer: 0.006194279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/1267733 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*n + 9 + 4, 0 = -5*n - 5*y + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457001.9 millennia to years.\nAnswer: 457001900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 + 0.4. Suppose -m = -4*g - 15, -5 = 2*g - g + m. Put 5, w, g in descending order.\nAnswer: 5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {o: 1, g: 1, b: 2, s: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 7*z**4\/12 + 18*z. Let i(a) = 11*a - 1. Calculate k(i(p)).\nAnswer: 847*p**2 - 154*p + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33988, 68106, 102226, 136348, 170472, 204598, 238726?\nAnswer: 272856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**3 + 7*n + 4. Let c(r) = -5*r**3 + 6*r + 4. Suppose 192*x - 182*x = 40. What is x*w(g) - 5*c(g)?\nAnswer: g**3 - 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/((-2698)\/76)*(136\/40 + -3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3159*s - 232628 - 136936 = -1378*s + 3575*s for s.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 46069*z**2 - z + 46035*z**2. Let c(k) = -4*k - 2. Calculate c(p(v)).\nAnswer: 136*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46692775 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 9*y**2 + 7*y + 11. Let w be t(8). Let x(s) = -2*s**2 - s - 1. Let z be x(-2). Let l = 17 + z. Solve -w*v - l = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-288)\/(-560) - (-2 + (-12)\/(-7)). Let d = 4 - 3.9. What is the closest to d in 2, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12) - (184\/(-156) - -1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.3 - -6. Let w = -0.06 + 0.36. Let b = 0.4 - w. What is the biggest value in k, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlylllnnyyylg. Give prob of sequence gy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.038725mm to centimeters.\nAnswer: 0.8038725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 14174 = -50*d. Let r = -1302557\/3664 - -5\/3664. Let p = r + d. Find the common denominator of 50\/31 and p.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8928934 divided by 3.\nAnswer: 8928934\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90223, -180426, -270631, -360838?\n\"Answer: -f**2 - 90200*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444415 (base 6) to base 10.\nAnswer: 37307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 115*m - 481. Let x be s(4). Let g(v) = v + 38. What is g(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/22*-1*2\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -p + 2114, -4*r + 8*r = 2*p - 4228. List the prime factors of p.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19202.7 + -18136. Round k to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15723*i + 15864520. Determine h(1009).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -20*v**2 - 18*v**2 + 4*v - 3*v + 34*v**2 - 132. Give b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.023583 litres?\nAnswer: 6023.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2 - 2)*(4 - 6 + 0) - 1 - 6*b**2 + 1.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2378*m + 913*m + 1 + 1164*m.\nAnswer: -301*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81061801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2379 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckckkccc. What is prob of picking 4 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*s + 8, v + v = -4*s + 12. Let y = 1 + v. What is the units digit of 2\/3*y + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229331513 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5993\/183 + 98\/3. Which is smaller: 0.17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from {x: 2, s: 1, a: 2, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2 - 0. Suppose 0 = a + 2*l - 2, d*l + 3*l = -2*a + 4. What is the least common multiple of (-2)\/1 - (-16 - -9) - 1 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 2*m**3\/3 + 4*m**2 - 6*m. Give g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6 - 108*s**3 + 11 - 100*s**3 - 20*s**2 wrt s.\nAnswer: -1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1070)\/1605)\/((-10)\/6))\/((-1)\/16)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/12321 and 29\/9.\nAnswer: 12321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11655 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 134, -5, -13, -4.\nAnswer: -13, -5, -4, 2, 4, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a + 0*a)*(-4 + 4 - 2*a)*(-4 - 8 + 14)*(-1 + 2 + 0)*(1 + 0 + 1) to the form f*a + y + o*a**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c + 1173 + 879 = 57*c - 90 for c.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -2, -1, 3, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*d - 42 = 0, a + d - 33 = 6*a. Let o be (3\/a)\/(((-9)\/(-10))\/(-9)). Suppose 0 = -o*b + 27 + 93. Calculate the remainder when b is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. What is the derivative of 1 + 3*c**v + 4 - 9 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2943340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*k + 42, -k + 5 = -6*k. Suppose 2*n + 3*n = -b. List the prime factors of (-17)\/(-3) - 1\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 8*h + 3*h + 45, 0 = -3*s - 2*h + 27. Suppose 4*d - 5*t = -s + 1, 0 = -4*d - 4*t - 8. Is 31 - 0\/(d - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*f*v**2 - 2*c**2 - 13*f*v**3 - 18*f + 26486*v**3 wrt f?\nAnswer: c**2*v**2 - 13*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3471*v**2 - 7*v - 2. Let j be t(6). What is j rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 20*f - 11*f**3 - 20*f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*216\/280 + 1*-5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**(2\/19)\/d))\/d))**(-15\/4)*(d*d*d**(3\/2)*d*d)\/d**(-14))**(8\/5) assuming d is positive.\nAnswer: d**(2904\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = -4*b, -5*b - 2 = -30*c + 34*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2918*f**2 - 34872*f + 2. What is s(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 10178*p + 10318*p)*(0*p**3 + 2*p**3 - p**3).\nAnswer: 140*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) + 10\/(-15). Suppose g = -v - v + 4. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 8*f**2 + 2*f - 12. Let r be (21\/(-14))\/((-1)\/6). Is c(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 258949*u**4 + 15*u**2 + 11*u - 306 wrt u.\nAnswer: 120*u**2 - 6214776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.16 + -28.56. Which is the nearest to y? (a) -1 (b) 4 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 - -583. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + k = 5, -3*l - 4*k + 27913 - 27890 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zafzzzaafaazannzfaa. Give prob of sequence naa.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 257\/207 or 0?\nAnswer: 257\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-7)*11\/55*(-140)\/119?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 613 (b) -0.01 (c) -4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45966 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 2, -1660, 1, -666 in increasing order.\nAnswer: -1660, -666, -19, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324958?\nAnswer: 2, 3, 387493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81 times 0.5\nAnswer: -40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -860, -1010, -1160, -1310, -1460, -1610?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5874*x**4 - 13632*x**3 + 23*x**2 - 422*x - 628 wrt x?\nAnswer: -140976*x - 81792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 1. Suppose 5*l + 4*n - 2 = 0, -5*l + 7 = n - 1. Let t be r(l). Let j = 8 + t. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879508, -1759016, -2638524, -3518032, -4397540, -5277048?\nAnswer: -6156556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -110054\nAnswer: -660324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115165?\nAnswer: 5, 31, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*t**3 - 750*t**3 - 425*t**3.\nAnswer: -794*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(12\/(-7))\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2275*s - 2771 wrt s?\nAnswer: -2275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 + k. Let u(r) = -12*r**3 - 9*r**2 + 9*r - 16. Let o(z) = 18*g(z) - 2*u(z). Differentiate o(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 48*i**2 + 323*i + 18190. What is k(-49)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29301 + 410211\/14. Put -2\/13, z, 3\/2, 1\/4 in decreasing order.\nAnswer: 3\/2, 1\/4, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-136 - -132) + (-22 - (6 - 3))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*r + 192, 5*r + 7*y - 3*y - 194 = 0. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(315))\/(3*sqrt(63)\/sqrt(9)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193*-0.149.\nAnswer: 28.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + (-128 - (-51 - 16)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -341 (c) -0.5 (d) 0.3 (e) -748\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1458 = 1298. What is the remainder when 423 is divided by t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**8\/1344 - l**7\/210 + l**6\/40 - l**5\/120 - 11*l**4\/96 + l**3\/4 - 3986*l**2. Solve h(r) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271956296 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/3)*q)**(-12)\/(q**9\/(q\/(q*q*q\/(q\/(q\/((q\/q**5*q*q)\/q)))*q))) assuming q is positive.\nAnswer: q**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 95 and 88 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, -12*j + 116 = 5*g - 8*j. Solve -2*x - g = -6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 2064568.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bd6d75 + -3?\nAnswer: -bd6d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 427341 divided by 3\nAnswer: 142447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j - 0*j. Is 2 a factor of j - 2\/((-2)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:59 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-1 + 1 + 3*m) + 0*m + 2*m - 4*m + m + m - 4*m + (2*m + 2 - 2)*(-1 + 3 - 4) as n*m + h and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + x. Let a(s) = 15*s. Let r(l) = -a(l) + 5*z(l). Find the second derivative of r(v) wrt v.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*m + 89*m + 275 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 16. Let v(y) = -3*y**2 - 3*y - 8. Let a be v(m). Is (a\/(-6))\/(3\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 7?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose -j + 2*s = -2*j + 2, -y*j + 7 = s. Let i = -1 + 2. Solve -f - j = 0, z = f - i + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876193579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -4206428\nAnswer: 81\/2103214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/((-42)\/4))\/((-2)\/14). Solve c = 2*m + 13, 3*c + 4*m = -13 + n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104447, -208871, -313295, -417719, -522143, -626567?\nAnswer: -730991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/((-9)\/54). Suppose 2*g = -0*g + a, 29 = 5*o + 3*g. What is the highest common factor of o and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4656056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491*g = -435*g + 557200. Which is smaller: g or -9949?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 2*z**2 + 4*z**4 + 2*z - 8*z + 2 - z**3 to p*z**4 + f*z**2 + l*z + s*z**3 + m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 521004 and 11?\nAnswer: 521004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 865 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from aaggttagatjjgjjaa.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:15 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 800\/320 + (-3)\/(-6). Solve -p*i - 3 = -2*j - 1, 5 = 5*j + 2*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 + 12 + (-7 - 1) - (9 + 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 166.\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -380646 divided by 21147\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - 3*z - 376 + 376 - 19*z + z + 2*z + z - z - 1 + 1 - z - 3*z + 2*z + (-5 + 6 + 1)*(-2 - 2*z + 2).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -13, -8, -3, 2, 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 1788242 - 1709119 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195766360 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 61*w - 56*w - 19 = 0, -4*t = -2*w + 10. Which is smaller: t or -2\/223?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5044.208 + -5065. What is u rounded to 1 decimal place?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 2. Let v be f(3). Suppose -v*s - 3*b + 8 = 0, 2 + 10 = 3*b. What is the units digit of -2*-2*s\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 475450329 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2499\/(-119) + (-186)\/(-9). Let i = 2822\/15 + -188. Which is the third smallest value? (a) i (b) r (c) -2\/9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**5\/60 - 7*i**4\/24 + i**3 - 3*i**2. Let d = 19 - 13. What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1. Suppose -117*g = -118*g - 1. Let l(n) = 4*n + 4. What is g*l(f) - 4*u(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + -0.5. Let m = 1.2 + j. Let u = 0 + m. Sort u, 3, -1\/2 in descending order.\nAnswer: 3, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -19721*t + 12877813. Calculate a(653).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/178986833 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 1. Which is the closest to 1? (a) 1\/6 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4 - 2481*q**3 - 17469*q**2 - 37503*q - 22518 = 0?\nAnswer: -3, -1, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2727582, -2727586, -2727592, -2727600?\nAnswer: -2727610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -14.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-22 - -26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + z + 70. Let w be p(0). Let o(k) = -w + 70 - k. Let t(m) = -m. What is t(o(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - -5) - (4 - -3) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13538 + -11822. Solve 0 = -5*z + 1701 - i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 614, 2557, 5796, 10331, 16162, 23289?\n\"Answer: 648*i**2 - i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) 0.34 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*x - 93296*g**2 + 2*g*u**2 - 18*u**2*x - 6*x + 92 with respect to g.\nAnswer: 8*g*x - 186592*g + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 9. Let d(n) = -n**2 + n + 8. Let i(y) = -5*d(y) - 4*k(y). Let r be i(-2). Solve 0 = -6*w + 4*w + 3*f - 4, 4*w - f - r = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15687737 + 15687736.93329551. Let s = p + 0.0667. Round s to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/30 + g**2. Let a(o) = -o + 4*o - o. What is m(a(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let h(z) = -z**3 - z**2 - z. Let y be (-2)\/(-4)*(2 + 2). Let o(d) = -4*d**2 + 4*d + d**3 + 5*d**y + 2*d**2 - 1. Determine w*h(i) + o(i).\nAnswer: -2*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + t + 183 = -t, -4*u - 4*u + 1428 = -4*u - 15*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1213989983 to the nearest integer?\nAnswer: 34842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*l - l = 14196, -2*u + 13*l = -5650. What is the greatest common factor of 132 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 862290065 divided by -1449227\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -472*z - 38559. Give t(-78).\nAnswer: -1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-23))\/6 - 481\/23\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000125 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 146632.2kg?\nAnswer: 146632200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x\/x**(-4\/9)*x))*x**(1\/7))**(2\/35) assuming x is positive.\nAnswer: x**(452\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 37*p**2 - 72*p**2 + 56*p**2. Let k(w) = -w. Determine v(k(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -556 (base 9) to base 14\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83 times -4?\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1840\/(-345))\/((-24)\/9). Solve -4*l - n - z = 6, 3*n = 2*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4\/3)\/n**(2\/59) assuming n is positive.\nAnswer: n**(-242\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -418992579 by 139664193.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1775 divided by -3\nAnswer: -1775\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4)*2 - 275\/(-50). What is the units digit of (-150328)\/(-95) - 4\/((-40)\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 p, and 1 n when four letters picked without replacement from jpjjpjpnppjjjjjppjky?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 at most 748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718433 + -718417.99996. Let k = m - 15. Round k to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(126))\/sqrt(7))\/(sqrt(729) + sqrt(729) + sqrt(729) + (sqrt(729) - (-4*1*sqrt(729) - sqrt(729))) + sqrt(729))*2.\nAnswer: -8*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/4)))**(-1\/2)*(u*u\/u**(-1\/5))\/u**(-1) assuming u is positive.\nAnswer: u**(123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenee. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13052472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, -18, 2, -67293 in increasing order.\nAnswer: -67293, -26, -18, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -y + 6, -2*a = 8*y - 3*y - 30. Let z(i) = i - 6. Let h be z(y). Let q be -15 + -10 + -3 + 24. Sort h, 3, q, 4 in descending order.\nAnswer: 4, 3, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1736.4 and 13?\nAnswer: 1749.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19646.12 rounded to the nearest one hundred?\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.1 - 102. Sort 0.07, 5, g, 1\/4 in ascending order.\nAnswer: 0.07, g, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.152 - -0.152. Which is smaller: i or 22\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4341532 - -2?\nAnswer: -4341530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149931026 a multiple of 763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*o, o - 16 = -4*c - o. Is ((-98)\/(-4))\/(c\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -429 - -602. Suppose -192 = 5*o + y. Calculate the common denominator of (o + 4)\/((-28)\/1) and -15\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)\/(g*g**6*g)*(((g**(-3\/2)*g)\/g)\/g)\/(g\/(g**(-1\/2)\/g))*((g\/g**(-1\/5)*g)\/g*g**5\/g)**(-2\/7) assuming g is positive.\nAnswer: g**(-1451\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4750 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/6*(0 - 2). Let h be 4\/18 + 200\/(-252). Let n be (-3)\/(-1 + (-13)\/2). Which is the third smallest value? (a) n (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose -2*n + 24 = q*n. Calculate the greatest common factor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let i(v) be the second derivative of -4*v + 1\/10*v**6 + 0*v**o + 0 + 0*v**5 - 1\/4*v**4 + 0*v**2. What is the third derivative of i(h) wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by 4?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8096, 32470, 73248, 130556, 204520, 295266, 402920?\nAnswer: 527608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 157*s**2 + 64*s. Give u(1).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 267, 4, 10, 32064 in descending order.\nAnswer: 32064, 267, 10, 4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872614 greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128453309\/35150 + -4039\/1406. Let g = t - 3651. Is g at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6127 - -42795\/7. Sort 1, q, -3\/4, 2\/9 in ascending order.\nAnswer: q, -3\/4, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14)\/((9\/2)\/((-882)\/(-280)))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 - -257. Let s = 45 + p. Calculate the greatest common divisor of 657 and s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 13*x - 6. Let g be (6\/(-9))\/(1\/(-3)). Let b be (-2)\/(2 + g)*-8. Let s be r(b). Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204 < -205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (110\/33)\/(4\/642) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 21. Let r = 2 + a. Calculate the lowest common multiple of (3\/(-2))\/(r\/(-84)) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, k: 8, g: 1}. Give prob of sequence qqk.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3731 - -5665. Let k = a - 1357. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 10, -c - 270 = -5*j. Suppose s = 106 + j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 136\/32 + (-2)\/8. Let c = 2 - l. Suppose 0*p + 3 = p. Sort -1, p, c in decreasing order.\nAnswer: p, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380434 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4515*j - 5317?\nAnswer: 4515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00149 to five decimal places.\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let b(t) be the third derivative of -t**5\/10 + 13*t**3\/2 + 3*t**2. Let o(c) be the first derivative of b(c). Calculate v(o(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-8)\/(-6000)). Let m = -220 + -33. Let t = m + g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 353*x**4 - 15*x**5 - 353*x**4 - 17*x wrt x.\nAnswer: -300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118 + 242 - 151*t - 124 to the form y*t + u and give y.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1807 + -1807.0000953. Round l to six dps.\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115076.\nAnswer: 2, 13, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a**4*k**2 + a*k**3 - 7*a*k - 2430*k**3 wrt a.\nAnswer: 68*a**3*k**2 + k**3 - 7*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 70 = -4*a - a, -8 = 4*a. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 15648.\nAnswer: 78240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*g, g + 3*g = o + 4. Let q(p) = -6*p - 4 + 3 + o. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/20, 0.3, -1.1, -6, -3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i - 2. Let p(h) = -2*h**2. Determine q(p(g)).\nAnswer: 10*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191574*j**2 - 191574*j**2 + 13*j**3 - 13*j**3 + 56*j**3 + 13*j**3.\nAnswer: 69*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*p = -7, x + 4 = -23*p + 24*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 11 (c) 3\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6\/(-2)) + 22. Let w = 48 + v. Suppose -l - 4*i + w = 0, 0 = -5*l + 2*l - 4*i + 245. What is the greatest common divisor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/735 - a**6\/210 - 8*a**5\/21 + 27*a**4\/14 - 27*a**3\/7 + 2*a**2 - 873*a. Solve y(k) = 0 for k.\nAnswer: -9, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11344132 (base 6) to base 15.\nAnswer: 7074e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22812580 to the power of 1\/2, to the nearest integer?\nAnswer: 4776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 0.42, -8434, -0.3?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1975, 3909, 5827, 7741, 9663, 11605?\n\"Answer: 2*j**3 - 20*j**2 + 1980*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 7 = 4*f, 0 = -25*f + 27*f - 4*z + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 337ca23 + -4?\nAnswer: 337ca1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u - 50. Determine a(25).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101.2 - -101. Which is the nearest to -1? (a) -6\/5 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 520?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6145*i - 1 + 6669*i - 19322*i in the form r*i + m and give r.\nAnswer: -18798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205037.1331 - -30.8669. Let l = -205065.99997 + n. Let z = l - 2. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 30 - 6*k - 62 - 4*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 117410 divided by -4\nAnswer: -58705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052 - -7854258778.\nAnswer: 7854258778.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14255.7mm in nanometers?\nAnswer: 14255700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 12:39 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.2, 0.1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 130 + 20. Suppose -3*d = 4*l - k, 2*l = 1 + 9. Suppose -15 = -2*z + 5*c + 5, z + 2*c = d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -6\/5 (b) 5 (c) -3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86877668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131*v**4 + 169 wrt v?\nAnswer: -524*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15421582 + -0.0011.\nAnswer: 15421581.9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 3. Let l(b) = b**3 - 6*b**2 + 6*b - 5. Let f be l(5). Suppose -3*o + f = -j. Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let w(t) be the third derivative of 37*t**6\/360 - 49*t**3\/6 - 69*t**2. Let i(z) be the first derivative of w(z). What is r(i(f))?\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -23614*z**3 - 8*z**2 - 6. Let w = -11 + 18. Let b be j(w). What is b rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*j = -2*j - 108, 4*u = -2*j + 126. Let o be 13\/15 + (-6)\/u. Which is the second biggest value? (a) o (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f + 11 - 11*f + 12 + 30*f. Suppose 4*i = 3*r + 20 + 7, 4*r = 12. Calculate the remainder when y(10) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1754273 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 72. Let w = 30.9 - h. Which is the closest to -0.1? (a) 0.4 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2608085149 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 14. Let r = 70 + -65. Let n be a(r). Solve -4*p - 12 = 4*y, -n*y - 1 - 9 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s. Let l(c) = -16*c + 10*c + 5*c. Give v(l(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825 divided by 12295.\nAnswer: 165\/2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160103 + -7?\nAnswer: 160096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/2)*x))**49\/(x*x**(-36)\/x)**(-10\/13) assuming x is positive.\nAnswer: x**(-83\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14839.\nAnswer: 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -2924, 1 in decreasing order.\nAnswer: 1, -4, -6, -2924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384441287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(1 + sqrt(304)) + (sqrt(304) - (sqrt(304) + sqrt(304) + (sqrt(304) - (5 + sqrt(304)*2)))))*-5 + -3)**2 + -2.\nAnswer: -18240*sqrt(19) + 489647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soos when four letters picked without replacement from {l: 6, s: 2, o: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 7. Let a = d - 3. Solve -3 = -a*y + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68229000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -8, 2\/5, 195, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 8, l: 1, y: 1, b: 2, c: 1}. Give prob of sequence ytb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = -0. Suppose -2*s = -6, -z*s = 2*p - 3*p - 5. Suppose 4 = -5*v - 11, p*v - 103 = -y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, t: 13, u: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2857 = -3*n, -n - w + 0*w = 950. Let l = 7792 - n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 6*r - 340 = 7*r. Calculate the greatest common divisor of r and 2816.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7 - r + 2*r**2 + 6 - 3*r. Let o be n(-2). Suppose 4*x = x + o. Let p(h) = h. Determine p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1657457471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 + 166*n + 2991. Determine z(-12).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.9 + -20. Let q = k - -0.8. Which is the closest to 0.1? (a) -0.5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56322262 to two decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -1000?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422.3 + -441. Let h = -19 - v. Let d = 0.8 + -0.6. What is the closest to -1 in h, d, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72119 or 72112?\nAnswer: 72119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 2.93. Let h = f + -5.03. Let w = -349\/21 + 49\/3. What is the fourth biggest value in w, 1, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -1\/7 (c) -1\/3 (d) 1\/1253 (e) 279\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*5*(1*sqrt(3800)*2)\/(-2*(sqrt(12) - sqrt(108))\/sqrt(6)))**2.\nAnswer: -750*sqrt(19) + 106900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110274 is divided by 1336.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + (-3 + 6 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3514905, -7029823, -10544737, -14059647, -17574553?\n\"Answer: 2*o**2 - 3514924*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -11. Suppose 2*r - k = -3*z - 1, -3*z = 0. Let v be (-1)\/((-57)\/(-60) - r). Solve 4*l = -l - v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 5243969?\nAnswer: 4\/5243969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + 1*sqrt(162)*6 + 3*(sqrt(162) - ((sqrt(162) - sqrt(162)*-4) + 2)))**2.\nAnswer: 756*sqrt(2) + 5881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12 + -2)*(-21 + -3). What is the smallest common multiple of 9 and 14\/(-5)*(-315)\/y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 23) + 2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -17241.\nAnswer: -17241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193.15237176487 + 0.15237021987. Let h = d - -193. What is h rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/(2 + 8). What is the nearest to -1\/4 in k, 4, -20, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1099 and 420289?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2619780 divided by -30\nAnswer: 87326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2011652826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -971743 - 0.5?\nAnswer: -971743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 2275704\/13?\nAnswer: 2275704\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57d0 - -3?\nAnswer: -57cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -241340030 (base 5) in base 15?\nAnswer: -172360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2267988, -2267990, -2268002, -2268030, -2268080, -2268158, -2268270?\n\"Answer: -v**3 + v**2 + 2*v - 2267990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + m**4)*(-2 + 1 - 11)*(-1 + 4 - 2)*(0*m + m + 0*m + (-2 - 2 + 5)*(80*m - 175 + 175)).\nAnswer: -972*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 287664098*r**3 - 423760662*r**2 - 271566960*r + 439857800 = 0.\nAnswer: -1, 14830\/11993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = q, -5*q + m + 86 = -11. Suppose q*v = 17*v + 72. What is the greatest common factor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6763\/9 - 751. Which is the nearest to n? (a) 13 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*m**2*t**3*w + m**2*t**3 - 290*m*t**3 - 4*w**2 wrt w.\nAnswer: -21*m**2*t**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19051 + -3263. List the prime factors of y.\nAnswer: 2, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 46*h - 1760. Let r be i(39). Solve -n + 33 = -r*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66019 - 66019 - 1012*v**2)*(v**2 + v**2 - 6*v**2) + (-3*v**2 - 2*v**2 + 4*v**2)*(0*v + 0*v + 2*v**2).\nAnswer: 4046*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2 - 1290*v = 0.\nAnswer: 0, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*j + 4)*(3*j + 2*j - 4*j) + 6*j**2 - 4*j**2 - 26*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d + 7. Let n(u) = 20*u - 10. Let o = -10 - -17. Let k(c) = o*x(c) + 5*n(c). What is the units digit of k(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2619333905 to the nearest 10000.\nAnswer: 2619330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-562 + 113 - 496)*(-3*n + 0*n + 5*n)*(-2*n**3 + n - n).\nAnswer: 3780*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 32 = u. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163583, -163725, -163963, -164297, -164727, -165253?\nAnswer: -165875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67134793 < 67134794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*n + 64, 4*l = -4*n + 28004. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 810*o**2 + 12*o - 3240.\nAnswer: -3*(o - 270)*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from tctbl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*r + 520 = 3*r, -3*r - 120 = s. Let b = s - -111. Suppose -3\/2*j + 3*j**b + 0 + 9\/4*j**4 - 9\/4*j**2 - 3\/2*j**5 = 0. Calculate j.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 7*n - 128 = -84. Solve -n*p + 15*b = 14*b, 5*p + 2 = 3*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - g**3 + 6*g**3)*(0*g + g**2 + 0*g).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2, 1\/2, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3365\/(-25) - (-2)\/(-5). Let y = -106 - o. Calculate the highest common factor of y and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 - (0 + -5) - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -s + 5*r, 2*s + 8 = 2328*r - 2329*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13\/130 + (-8278)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 5*i**8\/336 - 5*i**4\/24 - 4*i**2. Find the second derivative of f(z) wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/3)\/u))**25*u**5*u**7)\/((u\/(u**(1\/12)\/u)*u*u*u*u**2)\/(u**(-5)\/u*u**2)) assuming u is positive.\nAnswer: u**(413\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((10\/15)\/(8\/24))\/(-2). Is 1\/3972 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2. Suppose 4 = -5*o + 9. Let m(y) = -8*y - 11*y + o - 1. What is i(m(p))?\nAnswer: -361*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/11, 5, 138, -0.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1417 - -2944. What are the prime factors of f?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 28 + 72 - 23 + 394*k**3.\nAnswer: 394*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 + 33*a**3 - 24*a**3 - 65*a**2 + 21*a**3 + 60*a - 5*a**4 - 15 = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/15 - 1\/3. Suppose 0*w - y*w + 18 = 0. Suppose -5*a + w + 21 = 0. What is the highest common factor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*f - 60, -25*z + 72 = -24*z + 5*f. What is the least common multiple of z and 60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + -5*(sqrt(448)*-2 + 5) - ((1 + sqrt(448) + -5)*-6 + 0))**2.\nAnswer: -13056*sqrt(7) + 117294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78634583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**9\/126 + 4*v**7\/105 - v**5\/10 + 5*v**4\/24 + 2*v**2 - 55. Find the third derivative of j(n) wrt n.\nAnswer: 480*n**3 + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 1. Let t(y) = -15*y - 1. Let b(w) = -30*w - 2. Let i(r) = 2*b(r) - 5*t(r). Let x be i(1). Let n = x + -12. Determine j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(16)\/sqrt(4)) - (-1*sqrt(931) - sqrt(931)) - ((-1*sqrt(1900)*6 - sqrt(1900))**2 + sqrt(1900) + sqrt(1900) + sqrt(1900)).\nAnswer: -93100 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 462 = 15*c - 30*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -1.8584257160948?\nAnswer: 2.8584257160948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 149*v - 3547. Calculate y(21).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2407795 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 21*a**2 + 462*a\/5 + 72.\nAnswer: 3*(a + 1)*(a + 4)*(a + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/17 - 427344*g**2\/17 + 854694*g\/17 - 427348\/17.\nAnswer: -2*(g - 1)**2*(g + 213674)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-12)\/(1296\/(-15))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0*p = 0, 10*x - 5*p - 6 = 13*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106 + 86*r**2 + 106 + 969*r**2)*(-2 - 2*r + 2) to the form p + m*r + w*r**2 + l*r**3 and give l.\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 14. Let q = n - -28. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.7. Let a = 0.2 + -0.7. Let v = a - -1. Put l, v, 5 in increasing order.\nAnswer: l, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.94, -1\/17, -1, -4, 53, 1\/6, 1\/9?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, 4 in increasing order.\nAnswer: -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137280511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 19 = -t + 757, 4*x - 8 = 0. Is 64 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -4 - 6\/(-1). Let c be (q - 3)*(-4)\/(-3). Let u(a) = -5*a**2 + 35*a + 170. Let v be u(10). Solve 0 = 4*y - c + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560079767 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h**3 + h**3 + (-52*h + 4*h**3 + 55*h + 2*h**3)*(0*h + 0*h + 2*h).\nAnswer: 13*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06813139582 + 315.86389350418. Let g = 0.0750249 - s. Let v = 316 + g. Round v to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*b**4 + 3*b**3 + 2*b**2 - 4255 wrt b?\nAnswer: -3576*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, x: 1}. Give prob of sequence nn.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7 and -17\/2566?\nAnswer: 17962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -28.399 and 0.1.\nAnswer: -28.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 80.835. Let f = r - -0.235. Which is the closest to 3\/2? (a) 0.3 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -72*q**2 + 13*q + 12. Let c(u) be the first derivative of -71*u**3\/3 + 6*u**2 + 11*u + 15. Let h(a) = -7*c(a) + 6*k(a). Is h(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11600583?\nAnswer: 3, 19, 43, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Let w(v) be the first derivative of v**4\/4 - v**3 - v**2 + 7*v - 3094. Calculate w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755818300 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 412?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(99) - 2*sqrt(52)\/sqrt(4).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49854 is divided by 208.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476583*k**2 - 229944*k**2 + 1094750*k**2.\nAnswer: 1341389*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-3)*-6*(-2 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 + 7 = 4*k, 4*f - 18 = -2*k. Does 8 divide (10 + -2)*f*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95869*q**6 + 89*q**3 + 758*q**2 + 91482.\nAnswer: 11504280*q**3 + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13242801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -504580*g + 662047?\nAnswer: -504580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 30. Let s be x(5). Find d, given that 8*d**4 + 5*d**2 + 455*d**3 + 7*d**4 - 440*d**3 + 5*d**s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l**2. Let i(q) = -183326*q. Calculate s(i(n)).\nAnswer: 470517911864*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21721*m = -22245*m - 31440 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - f, -2*f = -4*r + f + 6. Let p(i) = -10*i - 82. Let q be p(-10). Factor 53*b**3 + 80*b**2 + 13*b + 10 - q*b**r + 42*b.\nAnswer: 5*(b + 1)**2*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a - 2*a**4 + 3*a + (-a**2 - a**2 + a**2)*(a**2 - 4*a + 4*a) - 3*a**4 - 2 + 2.\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.09, -657.8, -5.\nAnswer: -657.8, -5, 5.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4366*r - 483701 = 7073*r - 514304 - 1445028 for r.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:10 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 44 = -4*p, -1164*p + 1162*p + 5*m = -6 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10)*t**(-2\/15)*t\/t**(1\/7)*t**(-3))**(-2\/17) assuming t is positive.\nAnswer: t**(2368\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -315, 1\/3, -24 in decreasing order.\nAnswer: 1\/3, -1, -24, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 178204 (base 10) to base 15\nAnswer: 37c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2340327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -210. Let u = h + -55. Let p = 12 + 8. Calculate the remainder when u is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45.8 (b) -7 (c) 1\/4 (d) 25 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 6*q + 1014*q**2 - 1009*q**2 as o*q**2 + v*q + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/5354 + 113789\/29447. What is the common denominator of (45\/(-60))\/(-3*1\/(-34)) and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12281747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6804709?\nAnswer: 17, 400277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 1\/27*f**6 - 1\/9*f**2 + 0*f + 4\/27*f**3 + 0*f**4 - 4\/45*f**5 + 36. Let n(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340628?\nAnswer: 2, 31, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/131?\nAnswer: 34\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 - 203?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = -2*y, -6*o = -o + 3*y - 12. Suppose 3*l + 0*z - 909 = 3*z, -l + 4*z + 291 = o. Suppose -45 + l = n. List the prime factors of n.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135718 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-6)*2\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(-2\/9)*t*t**(-1))\/(t\/(t\/(t\/(t**(-4\/11)\/t)))*t*t**4\/t) assuming t is positive.\nAnswer: t**(-311\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322131012 (base 4) in base 12?\nAnswer: b6686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 48 = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -101245401?\nAnswer: 101245402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3, 23, 10, -0.12.\nAnswer: -0.12, 2\/9, 3, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-20))\/(224\/2072)*2*3\/(-9)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2544 divided by 82\nAnswer: 1272\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 15. Let n(j) = 1. Calculate -30*n(i) - 2*v(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 - (-495)\/(-25). Let k = 24 + d. Suppose -2*n - 2 = -k*n, n = -3*m + 208. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d**2\/21 - 74*d\/21 = 0 for d.\nAnswer: -37\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -12350621.\nAnswer: -12350626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 60 = -2*s, 0*s - s - 129 = -4*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 60*g + 57. Let v be u(19). Is v less than -559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1131 = -31*r - r. Suppose 224 + 121 = 3*w. Calculate the remainder when w is divided by r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -883335, -883412, -883489, -883566, -883643?\n\"Answer: -77*n - 883258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431*w = -429*w - 142282. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*v = 44, 45 = -2*u - 4*v + 5. Do u and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(-8)*-2). Let u = -9 + 9.3. Let g = 2.4 - 1.4. What is the third smallest value in u, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1223 - 1220 - 3*c**3 - c + 2*c + c**3. Let u(t) = 4*t**3 - 3*t - 7. Suppose -7*i + 5*i - 4 = 0. Let j be -6 - i - -2 - -5. Give j*u(l) + 7*m(l).\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(28) - (sqrt(176) + 1 - sqrt(11)))**2.\nAnswer: 5*sqrt(11) + 279\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 180999, 181218, 181583, 182094, 182751, 183554, 184503?\n\"Answer: 73*i**2 + 180926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -2*g - 96. Suppose -y + 5*o + 88 = 0, -4*y + 0*o = -2*o - 424. Calculate the greatest common divisor of y and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 6*u - 6. Let k(c) = 6*c**2 + 17*c - 17. Let y(t) = 4*k(t) - 11*l(t). Let d be y(-2). Solve -4*s - w + 4 = 4*w, 4*s - d*w = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*r - 4, -4 = 4*g - r. Let f = -1 + g. What is the units digit of (15 - 1)\/(-1 - f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**3 + 6*n**2 + 40*n + 2939. Let w(c) = 146*c**3 - 81*c**2 - 520*c - 38207. Let s(d) = 2*w(d) + 27*z(d). What is the derivative of s(f) wrt f?\nAnswer: -15*f**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - 5*z**2 - 5*z**2)*(23 + 10 - 7)*(5 - 3 + 3).\nAnswer: -1820*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + sqrt(18)\/sqrt(6) + 1*(-2 + sqrt(3)))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 7*x**2 + x + 7. Let c be i(-5). Let u = c + 116. Let f = -26 + u. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -23*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v = -42*v - 112 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 32043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*j + 41 = 2*i, -5*i - j + 205 = 0. Suppose -38*s + i*s = 6. Let p = -6 + 18. Solve -k = 2*l - 3, 2*l - p - 6 = s*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2922409 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2 + u + 13. Let p(j) = -20*j**2 - 2*j - 36. Let t(k) = -11*h(k) - 4*p(k). Let r(n) = 2*n**2 - 4*n + 2. Determine -3*r(s) + 4*t(s).\nAnswer: 6*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnnx when four letters picked without replacement from xxnxxxxxnxxxnx.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Let p be 1\/(-2) + 6\/8. Which is the second smallest value? (a) 1 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0096946505 + 0.068\nAnswer: 0.0776946505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*p)*(5*p + 65*p - 180*p) + 0*p - p**2 + 0*p + 0*p + 0*p + 3*p**2 + p**2 in the form o + j*p**2 + y*p and give j.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 117. Let v = g - 7.4. What is the third biggest value in v, 2\/11, 2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -121. Suppose -3*a = -5 - x. Suppose -424 = -13*o + 200. Calculate the highest common divisor of o and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 2\/95, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -18, -26, -34, -42?\n\"Answer: -8*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 + 66*d + 4. Let i be u(11). Solve i*f - 3 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5 + 1 - 2 - 82*a + 74*a. Let t(h) = -h + 1. What is -b(p) + 4*t(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + 70)\/(-2*(-9)\/(-138))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 3)*(-2121 + 2121 - 370*c)*((-3*c**3 + 11*c**3 - c**3)*(1 - 1 - c) + (0*c**2 + c**4 + 0*c**2)*(2 - 4 + 4) + c**4 + 3*c**2 - 3*c**2).\nAnswer: -5920*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:45 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 - 120661*h\/10 - 45249\/10.\nAnswer: (h - 15083)*(8*h + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, -1, 1, -2, -802 in decreasing order.\nAnswer: 14, 2, 1, -1, -2, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 57 = 21. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102231424243 - 10?\nAnswer: 102231424233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -8, 3*j = -6*i + 4*i - 10. Is -2 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 - 10*b**2 - 5*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4117*l - 120. Is k(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36950 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 330*z**3 - 247*z**2 - 2. Let f(h) = 13529*h**3 - 10126*h**2 - 83. Let j(s) = -2*f(s) + 83*q(s). What is the third derivative of j(o) wrt o?\nAnswer: 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 703.5325 litres?\nAnswer: 703532.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17138451.3 + -123.66.\nAnswer: 17138327.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 107379 divided by 2619\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12699938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7923886 to the nearest integer?\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(300)*-2 + 2 + (4 + sqrt(300))*1))**2.\nAnswer: -480*sqrt(3) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 530, 54, -2 in ascending order.\nAnswer: -14, -2, 3, 54, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1299877?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.1 - -38. Let m = j + 3. Let o = 63 - 61. Which is the nearest to m? (a) o (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -648 - (-26 - -25). Suppose -5*u = -5*m - 1345, -5*u + m = -686 - t. List the prime factors of u.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143654?\nAnswer: 2, 7, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, -5, 1573622, 2.\nAnswer: -5, -1, 2, 4, 5, 1573622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + 0*a**3)*(3*a - 1 + 1) - a + a - a**4 + (1 - 1 + 1)*(-2*a**4 - 3*a**4 + 3*a**4).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 507520 * 0.4\nAnswer: 203008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12857*b**2 + 47*b - 143. Let r(v) = -8572*v**2 - 32*v + 97. Let h(l) = -5*d(l) - 7*r(l). Find the second derivative of h(m) wrt m.\nAnswer: -8562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 2, g: 1, n: 1, l: 1, x: 2}. Give prob of sequence nlm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n*(n*n*n\/(n*n*n**(-6\/11)*n*n))\/n*n)\/n))\/n)**(-34)*(n\/(n\/(n**30\/n)))\/(n\/(n*n\/n**(-2\/33))*n) assuming n is positive.\nAnswer: n**(1571\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 9. Let a be 2\/(-10) - 64\/5. Let l(b) = -3*b + 6. Let f be l(a). Calculate the highest common divisor of f and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 8*y - 3. Let j be z(11). Let m be (-3 - j\/(-5))*3. What is the greatest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 31839.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let h(j) = 2*j**2 + 43*j - 1. Determine h(m(o)).\nAnswer: 2*o**4 - 43*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11122200 - -10?\nAnswer: -11122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -32 - (-22 - -40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/5 + 246094*a**4\/5 + 15145239308*a**3\/5 + 575261212616*a**2\/5 + 5993971402752*a\/5 + 9808055932032\/5 = 0 for a.\nAnswer: -123028, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 7*l + 3*w - 7, -5*l - w - 15 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68942485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202 (base 4) to base 3.\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - 5*k)*(-733 + 733 - 50*k**2)*(-k - 4*k + 2*k).\nAnswer: -450*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 41.20261 nanoseconds?\nAnswer: 0.04120261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 35\/69791 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {w: 3, j: 2, l: 2, d: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 18*q + 124. Let t = -44 - q. Calculate the remainder when 71 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*x + 3*q, -2*x + 2*q + 2 + 26 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63097840, 63097838, 63097836, 63097834, 63097832, 63097830?\nAnswer: 63097828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23462642 or 23462643?\nAnswer: 23462642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -49*y**3\/5 - 847544208*y**2\/5 - 484310964*y\/5 - 13837456 = 0.\nAnswer: -17296820, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10\/7)*d**(-1\/7)*(d**15*d)\/d*((d\/d**(-3\/8))\/d)\/d assuming d is positive.\nAnswer: d**(717\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.12227*0.1\nAnswer: -0.012227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -145 (c) -2\/9 (d) 28 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 + 2*y - 5. Let v(r) = -r**3 - 14*r**2 - 12*r + 18. Let p be v(-13). Determine b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(48) + sqrt(192)*-3 - 1*(sqrt(1200) - 3*sqrt(1200))**2).\nAnswer: -19212 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 4*t**2 + t**2)*(312*t - 1422*t - 3415*t).\nAnswer: 9050*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74.22*-2.93.\nAnswer: 217.4646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129517885?\nAnswer: 5, 7, 3700511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.7. Let g = -211\/70 - -45\/14. Which is the closest to s? (a) -0.5 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4248.2094 - -4249. Let a = -0.0094 - i. What is the biggest value in 2\/17, -5, a?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81583 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 22188*k - 10 - 30257*k.\nAnswer: -52445*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:53 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 193*s + 825. Calculate h(-92).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5475 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a**3*v + 70*a**3 + 2941*a**2*s**2 + 1949*a*s**2*v wrt v?\nAnswer: 14*a**3 + 1949*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096026 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -29. Suppose 3*q - 2*v = -13, -2*v - 10 = 2*q - 3*v. Let i = u + q. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-1 - -13) + 5 + -11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3339\/4 - -16003\/20. Let d = -35 - n. Let z = -1 - 3. Which is the closest to 0.1? (a) 0.3 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -224580.3307 and 55054?\nAnswer: 279634.3307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 400 - 401.84. Let a = y + 1.54. What is the third biggest value in a, 0.4, 4.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 2*x**6\/15 - x**2\/2 - 6*x + 1. Let a(c) be the first derivative of b(c). What is the derivative of a(o) wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 + 9 - u**3 + 2 - 6 - 2*u. Let l be d(-5). What is the greatest common factor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(22)*2 - sqrt(22)))\/sqrt(2) + sqrt(22)\/sqrt(2) + 3)*-5 + (((sqrt(1331)*-2 - sqrt(1331)) + -2)*-6)**2.\nAnswer: 4737*sqrt(11) + 431373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434073, -434075, -434077?\nAnswer: -434079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 + 321. Suppose -5*c + r = 28. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 0 (c) 9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 0. Suppose -3*q = 2 - t. Sort q, -1, 0.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffatqufatqfqfaf. Give prob of picking 1 t and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-57))\/(1\/(-2)*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -2 - ((-41 - -2) + -1). Let x = m + -41. Solve 0 = -n - 0*n + x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -417*m**8\/56 - 93*m**4\/2 + 359*m. Find the third derivative of w(v) wrt v.\nAnswer: -50040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-21)\/(-27))*-3. Let j = -4.7 + 5. Let k = j + -0.8. Which is the third biggest value? (a) p (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 12*o**5 + 929422*o**4 + 2633296*o**3 + 2323476*o**2 + 464692*o - 154898 = 0.\nAnswer: -77449, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/4 - l**3\/3 + l**2\/2 + 67*l + 6. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3431075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 - 1 = 0. Let v be (1\/s)\/(4\/(-10)). Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5\/8)\/((-1116)\/(-16)*140\/(-1740)) and -155\/84.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d185 (base 15) to base 5\nAnswer: -2403400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*y - d, 7*y - 10*y + 16 = -d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170495.4 litres to millilitres.\nAnswer: 170495400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + -3*141\/(-9). Let y = 10 - 6. Suppose y*b = 4*x + a, 0 = 6*b - 3*b - x - 39. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 - u**5\/60 - u**4\/24 + u**3\/6 + 10*u**2. Let h(r) = -4*r**3 + 2*r**2 - 2. Let c(n) = -2*a(n) + h(n). Factor c(s).\nAnswer: -2*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 38432370*q**2 - 269026345*q.\nAnswer: -5*q*(q - 7686467)*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ba9 (base 15) to base 12.\nAnswer: -3589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 l when three letters picked without replacement from bhblbyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 7\/((-7)\/(-10)). Let a(i) = 0*i**2 - 2*i**2 - 12*i - 3*i + 19*i - 16 - 2*i**3 - 11*i**2. Let t be a(k). Solve 10*l - t = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 21*b + 5452. Let x(d) = -2*d**2. Calculate g(x(l)).\nAnswer: -42*l**2 + 5452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 + 57\/12. Suppose 5*s = -4*g + 6*g - 6, 0 = -5*s. Suppose -g*h = -h - 10. Solve 0 = y - 3*p + 8*p - 10, -2*y = l*p - h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + a - 1. Let j be f(5). Suppose -i - 4 = -0*b + 3*b, 2*b - 2 = 0. Let h be (-40)\/i + 14\/49. What is the highest common divisor of h and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10664\/27 + -395. Let z = -93 + 92. Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37084 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84690970 divided by 50113.\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9259, -9291, -9323, -9355, -9387, -9419?\nAnswer: -9451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 9, -2, -59\/6, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + ((sqrt(152) + sqrt(152) + sqrt(152)*-4 - sqrt(152)) + sqrt(152))*3)\/(sqrt(8) + (sqrt(256)\/sqrt(8))\/sqrt(4)).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 3, p: 2}. Give prob of picking 4 o.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, a: 1, i: 3, z: 1, g: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -17*d + 1. Let w(h) = 30*h + 4. Let a(z) = 29*z + 5. Let f(q) = 5*a(q) - 6*w(q). Let m(i) = 3*f(i) - 7*s(i). List the prime factors of m(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 + 164*t**4 + 332*t**3 + 2*t**2 - 331*t - 166 = 0.\nAnswer: -1, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q - 29 + 6 + 3*q. Let i be j(-12). Is i greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 6153728?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 4, b: 2, y: 2, r: 3, l: 1}. Give prob of sequence bd.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(300)\/(-1*sqrt(6)))**2 - (-1 + sqrt(1152))**2*-1.\nAnswer: -48*sqrt(2) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -82*j**2 - 6*j - 4. Let w be z(2). Let i = w - -630. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {i: 2, p: 2, v: 2, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 3*a - 7. Calculate v(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157106 is divided by 144.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/6311 + 637415\/25244. Let v = -1418 + 45357\/32. What is the common denominator of y and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(6678\/(-56))\/(-9)*4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-304))\/(-129 - -139).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 10, 28, 54, 88?\n\"Answer: 4*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3027*g**2 - 5*g + 1102*g**2 - 68 + 2*g + 1424*g**2 wrt g.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) - (-922)\/(-6). Let y = -106 - w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82796928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(76) + sqrt(76) + 3 + sqrt(76) + -2 + 2*(3 + -2 + 1 + sqrt(76))**2.\nAnswer: 22*sqrt(19) + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2073 is divided by 290.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4559722 and 149\/173154?\nAnswer: 13679166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99 - -1.19. Which is the nearest to j? (a) -1 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 21. Let p be q(6). Find the first derivative of -6*d - d + 15 + 14*d + p*d wrt d.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266016348 divided by -568411?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -818 and -820 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*v + 44 - 25 + 3*v wrt v.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 - j**2 + j. Let q(r) = -r**2 - 2 + 6 - 3*r**2 + 20*r**3 + 2*r - 19*r**3. Let i be q(3). Let s be k(i). Solve -m - s = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 7*q + 6. Let w be (-3)\/((2 + 1)\/6). Let g be j(w). Suppose 4*s = 40 - g. Solve 5*y - 5*d = 0, -s*d = 5*y - 3*d + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28))\/((-1)\/(-72)*-6).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 23. Let g be k(-9). Solve -8*v + g*v = -12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1932*z**2 + 12*z + 5021*z**2 + 3*z**3 - 9*z - 2*z**3.\nAnswer: z**3 + 3089*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11890784.\nAnswer: 2, 371587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*-130026.\nAnswer: 6371274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 + 1025*y**3\/2 - 955817*y**2\/4 - 26341393*y + 1623568635 = 0.\nAnswer: -127, 45, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5, -1, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**3 + 0 + 16*v - 7\/24*v**4 + v**2 + 1\/60*v**5. Give u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6927?\nAnswer: -4\/6927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 905 - -9504. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:03 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2897 = -4*f + 300, 4*f - 4*d - 3196 = 0. What are the prime factors of f?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**4 + 7*w**3 + 3*w**2 + 1525*w?\nAnswer: 36*w**2 + 42*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 10020202101121?\nAnswer: -10020202101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 6*a + 2*a + 0*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 9 - 0\/(1 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 34*s + 157. Let h be n(-38). Let y(a) = a**3 - 23*a**2 + 23*a + 3. Let r be y(22). Solve -h*x = r - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 3 - -331) + 0\/3. Calculate the highest common divisor of 56 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.6 - 32.601608. What is h rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 + 5*l - 1. Let q be p(-4). Let j be (2 + -5 + -2)*(-17)\/(1190\/56). Solve -j*z - q = -11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 4)*(-z + 0*z + 2*z) + 6*z - 7*z - 3*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 257*l**5 + l**3 + 3*l + 32?\nAnswer: 5140*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteteeeeeeee. Give prob of picking 2 t and 2 e.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 8. Let y = f + 12. Calculate the lowest common multiple of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-9)\/6)\/((-6)\/(-2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*(26 - (-2373)\/(-91))\/((-6)\/(-39))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -6, 439 in increasing order.\nAnswer: -115, -6, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -68*-0.5\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - 978 - (0 + -8). Let s = x - -1661. What are the prime factors of s?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 27 - 3 = 0. Let o = 4 + -5. Let a(p) = -5 + 4 - 5 + 0*p**2 + 3*p**2. Let f(s) = 1. What is l*f(i) + o*a(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = -g. Which is smaller: -17 or g?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*m = 3, 2*m + 3 = 2*u + 7*m. Sort 0, 2, u.\nAnswer: u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 352, 2965, 10032, 23773, 46408?\n\"Answer: 370*z**3 + 7*z**2 + 2*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*d - 52 = 0, 29*o - 27*o - 3*d - 20 = 0. What is the highest common factor of o and 969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 12*c + 32 = 8*c, 79*c + 468 = 6*u - 3*u - 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from {r: 1, t: 2, k: 10, z: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {i: 1, m: 9, k: 4, e: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 64*f - 12192. Let m be x(83). Let q(v) = -6*v - 1. Let t be q(-1). Solve -t*a - 34 = -m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 3*f**2 - f**2)*(-f**3 - 4*f**3 + 2*f**3) + 2*f**5 - 2*f**5 + 7*f**5 + (-f**3 - 2*f**3 + 7*f**3)*(-f**2 + f**2 - 5*f**2).\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 7*g**2 - 3*g - 23. Let t = -99 + 92. Let m be j(t). Which is the nearest to m? (a) 0.2 (b) -2\/7 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2833 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12 + 36*d**2 + d + 12. What is the tens digit of s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6 - 2*n**3 + 3*n**3 + n**2 - 4*n**2 - 4*n. Let h be o(4). Solve 3*c = h, -4*y + c = -0*c - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000662 rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/5, 0, 6\/17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 36. Let f be ((-8)\/(-36) + 20\/18)*-15. Let h = f - r. Are -10 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1618264775 - 0.00281.\nAnswer: -1618264775.00281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 3*z - 8. Let f be p(4). Let y(c) = -f*c**3 + 9*c**3 + 4*c**3. Let k(r) = -2*r**3 + r. Determine 4*k(v) + 7*y(v).\nAnswer: -v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3179, -25418, -85771, -203294, -397043?\n\"Answer: -3176*u**3 - u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:50 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.55 + -17.55. Which is the nearest to 0.031? (a) 0.2 (b) 0.4 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-3)*6\/12. Which is the nearest to x? (a) -0.2 (b) 7\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u - 114. Give c(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 190787532\nAnswer: 95393766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - -8 - (-21 - -25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 198 = -26*d. Suppose 0 = -0*i + 11*i - d. Let -2\/9*g**i - 4\/9*g**2 + 4\/9 + 2\/9*g = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - w - 50. Let v be r(7). Let l be v\/(-10) + (-72)\/90. Solve 0 = 2*j - g - g + 6, -4*j + g - 15 = l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18688186 is divided by 8624?\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84 + 151414?\nAnswer: 151340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2120 or 2123?\nAnswer: 2123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(114) - -5*sqrt(114)*1)\/sqrt(6).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5265*h. Let o(p) = -162*p - 153023950 + 153023950. What is -162*o(c) - 5*t(c)?\nAnswer: -81*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 3*c + 2 + 3*c**2 + 5*c. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -776362 + 3.\nAnswer: -776359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2704 + 5?\nAnswer: -2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let o be 6\/63*-3*(-11 - -4). Let r(y) = 5 - 27*y**o - 5 + 18*y**2. Calculate t(r(s)).\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/7 - 6110*p\/7 - 12212\/7 = 0.\nAnswer: -3053, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123223?\nAnswer: 149, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 286 + -162. Calculate the highest common factor of 186 and q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0*t - 1\/24*t**4 + 0 + 4\/3*t**3 - 76*t**2 - 7\/10*t**5. Differentiate f(m) with respect to m.\nAnswer: -84*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + (3 - (0 + 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 4*i - 2. Let b(g) = g**2 - 2*g - 3. Let l be b(-2). Let h be v(l). Let q = -77 + h. What is the remainder when q is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 49*t**4\/6 + 167*t**2 - 2*t. Let a(j) = 13*j**2. Determine a(l(w)).\nAnswer: 499408*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 32759.1445 to the nearest integer.\nAnswer: 32759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43875 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**6 + 0*f**2 + 0*f**3 + 0 + 22*f + 13\/21*f**7 + 0*f**5 - 13\/6*f**4. Find the third derivative of a(v) wrt v.\nAnswer: 1560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39.63962907 and 18.\nAnswer: 57.63962907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 12:12 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 10*r**2 - 11*r. Let m be p(11). Let v be 27\/(3 + 0)*(1 + -5). Let y be v\/90*1*-10. Solve -x - 1 = 5*a, -2*x - 2*x - y*a - 4 = m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 6178612 + 2*c + 4*c + 6178612.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1072*67.\nAnswer: 71824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707747?\nAnswer: 707747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6 = -z, 0 = 4*x - 506*z + 501*z + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/4 + 11*j**3\/2 - 8854*j**2. Calculate k(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1.03 (c) -0.0414 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5064 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and -5104.\nAnswer: -5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 28.727, -4 in decreasing order.\nAnswer: 28.727, 4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 159 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8982 + 18478. What are the prime factors of m?\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25141*l + 25141*l - 25*l**2 + 11*l**3.\nAnswer: 11*l**3 - 25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 470 - 540. Let y be (-2 + 2)*1 - (-70 - t). Which is smaller: -29 or y?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 - v**2 - 6*v - 9. Let s be i(6). Suppose 6*f = 1875 + s. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = -3*h - 4*w + 6*w, -5*h - w - 420 = 0. Let y = h + 138. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + -120?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241101 and 516?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*g + 68 = 0, 0 = -6*s + 2*s - g + 60. Let y = s + -4. Suppose 5*p - 4*i = -3*i + 20, -30 = -3*p - 3*i. Solve -p*d - y = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43739007197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - 21*d. Let f(o) = o**2 + 4*o - 2. Let v(x) = -5*x**2 - 17*x + 9. Let m(r) = -9*f(r) - 2*v(r). Calculate -2*b(w) + 21*m(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 + 180. Is -38 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441a (base 13) to base 16.\nAnswer: 250f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -25*n**3 - 2787640*n**2 + 3902735*n - 1115070 = 0.\nAnswer: -111507, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1034*o**3 + 1355*o**2 + 2*o - 27760006 wrt o.\nAnswer: -3102*o**2 + 2710*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 20*a = 3594. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 3*z - z + (-2 + 2 + 2*z)*(1 - 5 + 2) + 2*z - z + 0*z - 6*z + 2*z - 8*z to a + w*z and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115932, -231902, -347874, -463848, -579824?\nAnswer: -695802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155 - 91. Determine r so that 8*r + k*r**3 - 1 + 36*r**5 - 12*r + 10*r**2 + 24*r**4 + 63*r**4 = 0.\nAnswer: -1, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/23? (a) 1.7 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 + i + 2. Let s be x(-1). Suppose -g - 3*l - 8 = -0*l, -4 = 3*g + s*l. Solve -j = -5*p - 20, -4*p + 2*j - g*j = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 + 1380*t + 28*t**2 - 1380*t + 1 + 36*t**2 - 17*t**2.\nAnswer: 54*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*l + 49. Suppose s - 5*g - 18 = 4*s, -5*s + 3*g - 30 = 0. Let f = s - l. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Let c = f - -13. Let k(g) = g**3 - 7*g**2 + 8. What are the prime factors of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1)**2 + (sqrt(162) - (sqrt(162) + 3*sqrt(162))).\nAnswer: -27*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**3 + f**2 + 7*f + 5. Suppose 0*h - 2*h - 2*d = 4, -3 = -2*h + 5*d. Let m be y(h). Solve -4*s = -n - 4, -8 = -n - 0*n - m*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, z: 3, w: 5, x: 2}. What is prob of picking 3 b?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/63)*(t**(6\/5)*t)\/t assuming t is positive.\nAnswer: t**(388\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*l - 76 = 0, -d + l + 0 = 17. Let c be (d\/(-40))\/(1\/5). Solve w - c*w = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 5. Let r = m - -4. Suppose -1 - 1 = -t. Solve -2*q + r + t = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(148\/(-37)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*0 + -2. Let h be (-148 + y)\/(-2) + 2. Suppose -5*n = c - h, -4*c + 5 + 3 = 0. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185412513*q**3 + 270631072*q**2 wrt q.\nAnswer: 1112475078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -99882185 less than -799057491\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*z - l, 8*l - 6*l + 11 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(252) + -3 + -3).\nAnswer: -8 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 - 3*u + 7. Calculate k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + 113 - (10 + 21)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14*(-49)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281*o**3 - 87*o**2 + 105*o**2 - 18*o**2.\nAnswer: -1281*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 131350428?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 3*a**4 - 2*a**4 + a**4 + 0*a**4 + a**4 - 18*a**3 + 18*a**3 + 4*a**4 + a**4 + 0 + 0 + (2*a**3 + 3*a - 3*a)*(2*a + a - 4*a).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-5*sqrt(12)*2) + 5.\nAnswer: -sqrt(3)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/42*9\/510*4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6067 * 1787.\nAnswer: 10841729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 1471437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 4:30 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307.5 + 307. Let d be (-12)\/(-5) - (3 + -1). Let y = 0 + 0.1. Which is the closest to y? (a) d (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*p**2 + 1487*p**2 + 13*p - 13*p + 1484*p**2 - 2803*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 107*h**5\/60 + h**4\/12 - h**3\/3 - 2*h**2 - 96*h. What is the remainder when a(-1) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-24 + 6 - 2)*(3*u - 2*u + u) as o + s*u and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - -4*sqrt(684) - sqrt(684))**2*-4.\nAnswer: -43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*f - 5*f. Let h(q) = 36 + q**f + q - 36 + q. Suppose -2*r + 3*g + 11 - 17 = 0, 3 = -r - 3*g. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -550 divided by 8.\nAnswer: -275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3579751952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 166769 divided by 67?\nAnswer: 166769\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbcxqoqk. What is prob of picking 1 c, 1 q, 1 x, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from nccpnncc.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g = -2*a + 13*g + 20*g + 86, -4*a + 136 = -3*g for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395148 divided by -78.\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rgakn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2755132 and -109\/20.\nAnswer: 13775660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2162\/5509?\nAnswer: 2162\/5509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78486119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18240683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/11, 1\/68 in descending order.\nAnswer: 7, 1\/68, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.9931556 + -0.0068544. Let o = n + 12. What is o rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 4845*a + 8 + 5.\nAnswer: -4845*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041278 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 13. Let d be j(-8). Let x(t) = -t + d*t**2 + t. Let i(y) = -352*y**2 - 21*y**2 + 377*y**2. Determine i(x(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -7*n + 2*n. Suppose -2*r = 3*r - 2*o - 40, 5*o = 0. What is the units digit of n\/r*(-2 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*l + 10, l - 3*k + 5 = 2*l. Solve -2 + 9 = m - 2*n, 0 = -l*m - 2*n + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*w**2 + 30*w**2 + 22*w**4 - 97*w**4)*(-1 - 2*w + 1).\nAnswer: 150*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (462\/308)\/(((-2)\/8)\/1). Let g(v) = 30*v**2 + 3*v + 6. What is the units digit of g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*x + 77 = 0, x = -n + 454 - 437 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/60*20\/8. Let n(w) be the first derivative of -1 - 1\/2*w**2 - 2*w**3 + 7*w + 1\/4*w**4. Give n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44 - 0.474. What is s rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1320\/(-3360))\/(37\/(-518))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 13*y**2 - 20*y + 32. Give j(14).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83573*j**3 + 108*j**2 - 108*j**2 + 83133*j**3.\nAnswer: -440*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - -1449 - 1281\/183. What is the greatest common divisor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(6) + -2*sqrt(54))\/(sqrt(18)\/(2*sqrt(6))) + 1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 272*t - 22. Let s be n(3). Let q(w) = s*w - 404*w - 409*w. Let f(a) = -11*a + a + 6*a. What is q(f(v))?\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 65 = 12*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 16 = -2*q, -q = -4*h - 6*q + 7. What are the prime factors of (-2 - -1)*h + 28?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. Let m = 3 + y. Suppose 0 = -5*x - m + 45. Solve k - x = -2*f, -2*f + 4*k = 2*f + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(63\/36))\/2. Find the third derivative of 18*y**2 + 240*y**6 - 2 + 2*y - 19*y**6 + a wrt y.\nAnswer: 26520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/35204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.086, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 160?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2368.337mg to grams.\nAnswer: 2.368337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/12 + 3*k**2. Suppose -5*a = -3*x - 13, -5*a + 3 = 5*x - 2. Let i(b) = 2*b**a - 3150*b + 3150*b. Calculate i(d(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:28 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20747, -41630, -62513?\n\"Answer: -20883*f + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384483 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -488\/9567 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 211 (b) 39\/7 (c) 0.2 (d) -1\/34 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 22*p + 136. Let z be i(-6). Suppose 2*v = z*t + 101 + 1033, 4*v = -t + 2250. Is 90 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -21*y**3 + 4*y**2 - y + 2. Let i(n) = 42*n**3 - 10*n**2 + 2*n - 5. Give 2*i(d) + 5*w(d).\nAnswer: -21*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 83*l**5\/10 + 5*l**4\/12 + 3*l**3\/2 - 39*l**2. What is the tens digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + 4. Let i = h - -5. Solve x + 0 = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b - 2. Let n be (-7704)\/(-4) - (9 + -6). Let j(k) = n + 8*k - 960 - 961. Let q(a) = 8*a**3 - 2*a + 1. Let l be q(1). Determine l*z(x) + 6*j(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/26)\/((11\/(528\/6))\/((-377)\/174)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11079 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (5 - (-13 + 4 + -1 - (-147 + 100)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, -13\/14, -1?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 20 = 5*t. Let v(i) = -2*i + 24. Let m be v(10). Put 0, m, t in decreasing order.\nAnswer: m, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 + 17528*h\/3 + 5590975\/3 = 0. What is h?\nAnswer: -17203, -325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t**2 + 25888876 - 25888876 + 40*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -261424965, -261424963, -261424961, -261424959, -261424957, -261424955?\n\"Answer: 2*b - 261424967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9173 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488806, 977618, 1466430, 1955242, 2444054, 2932866?\nAnswer: 3421678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40989.6 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6\/d)\/(d*d**(2\/5)*d*d))\/(d**1)**36 assuming d is positive.\nAnswer: d**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -40 - (2 + (-8 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 57214*q\/5 - 818360449\/5.\nAnswer: -(q + 28607)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20027903.4us to days.\nAnswer: 0.0002318044375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -7*q - 6. Suppose 0 = -3*z + q*g + 3, 2*z - 3*g - 3 = 2. Let w = -5 + 8. Which is the smallest value? (a) z (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228302 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: Let y(q) = q**2 - 1. Let c(h) = 4*h**2 - 4. What is -6*c(x) + 22*y(x)?\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 8*v - 4*y, -y = 4*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*n - 8. Suppose n*y + 10 = 3*y. What are the prime factors of 27\/6 - 1\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2*s**4 + 43*r**2*s**2 + 57*r**2*s - 52*r**2 + 2*r*s**2 - 1406860*s**3 wrt s.\nAnswer: -24*r**2*s - 8441160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3767235 + 0.0232759. Let z = -0.4 + u. What is z rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x**3 - 12*x**4 - 12*x**2 - 59*x**3 + 44*x + 472 - 448 = 0. What is x?\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + n**2 - n. Suppose -4*u = -2*k + 16, k = 4*k - 2*u - 32. What is the lowest common multiple of w(1) and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223\/3 or 6?\nAnswer: -223\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(320) - -1*sqrt(320))\/sqrt(8))\/sqrt(4))\/(-2*sqrt(162)*1))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16334942.\nAnswer: 2, 13, 628267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 96*j + 110. Calculate the remainder when q(0) is divided by 87.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, f: 3, o: 3}. What is prob of sequence fofl?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-32)\/(-12))\/8)\/(6\/(-18)). What is the third biggest value in -61, 0.4, s?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let k(q) = -q**2 + 25. Let g(n) = -15. Let r(j) = -10*g(j) - 6*k(j). Calculate r(a(i)).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 29*u**2 + 13*u + 118. Let v(i) = -2*i**3 - 19*i**2 - 9*i - 80. Let l(g) = -5*h(g) - 7*v(g). Determine l(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 142\/35 (b) -4\/9 (c) -2 (d) 0.2 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 - 1. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.000000435 + -2. What is m rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28747123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095*m - 1093*m = 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 32. Let c = t + 25. Suppose c*u - 5*j = 15, -3*u + 2*u - 17 = -5*j. Calculate the highest common divisor of u and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/7 - 5*j**4\/7 - 57*j**3\/7 + 65*j**2\/7 + 8*j - 60\/7 = 0.\nAnswer: -6, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1825.75 * 1.945\nAnswer: 3551.08375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2020 + -2016. Suppose -5*z + 2*z = 15. Which is the second smallest value? (a) 3 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2792242752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(440)\/(-1*sqrt(10)))*1*-6*1.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173.44 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 25.93. Let u = i - -0.18. Let m = 0.23 - u. Which is the third smallest value? (a) -0.4 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + d - 1. Suppose 4*x - 4*o - 69 - 107 = 0, -2*o = 2*x - 72. What is the remainder when x is divided by l(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(6\/13)*x\/x**(-1\/9)*x)\/(x*x**8*(x*x**0)\/x))**(-21) assuming x is positive.\nAnswer: x**(5264\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183795154 and 1.\nAnswer: 183795154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i*i**8 assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106423 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23800555 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 (base 13) in base 9?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - u - 10 = -2*a, -2 = -u. Let j = -4 - -15. Let b(v) = -v + 27. Let g be b(j). Solve 4*z - g = -5*y, -a*y + y = 5*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/684 and -55\/2698.\nAnswer: 48564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 95.3. Let w = d - -0.8. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8821? (a) 2 (b) -15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -26, -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255607293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1518672208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3165883 or -3165677?\nAnswer: -3165883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d + 2*d - 6 = 0, -2*f + 2*d = -12. Let l(x) = x**2 + x - 1. Let a(o) = -348 + 356 + 27*o**2 - 6*o - 36*o**2. Calculate f*l(g) + a(g).\nAnswer: -3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23*65\/2990*8\/82)\/(-5)?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)*w**(-1\/3)*w**(-2\/13)\/((w*(w\/w**4)\/w)\/w))**(1\/6) assuming w is positive.\nAnswer: w**(2251\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/40 - 30\/4) + (-132)\/(-11). Solve 4*w - a*w - 19 = -3*r, 5*r = w + 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -24*z + 16. Let h be a(-14). Let w = -346 + h. Let f(q) = q**3 - 7*q**2 + 6*q - 8. What is f(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 238 - 116 + 457*z**2.\nAnswer: 457*z**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*y - 146 - 196, 3*p + 2*y = 214. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19264 by 64.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/1260 + h**5\/420 - 7*h**3\/6 - 2*h. Let j(f) be the second derivative of d(f). Factor j(p).\nAnswer: 2*p*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - 11) + (23 - -1) - -12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s**2 - 3*s - 1. Calculate the remainder when 33 is divided by c(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455 and 63115.\nAnswer: 441805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(17\/6))**(-3)\/(i**(25\/2))**(-2\/27))**2 assuming i is positive.\nAnswer: i**(-409\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/60)\/((-3)\/(-145)). What is the highest common divisor of 1102 and d?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212874 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/3 + 10*k**3\/3 - 7*k**2.\nAnswer: -k**2*(k - 7)*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a - 700?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32149, -64284, -96419, -128554, -160689?\n\"Answer: -32135*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12141158, -12141161, -12141164?\n\"Answer: -3*v - 12141155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1897 + -5a?\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 0.58035, 155?\nAnswer: 0.58035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f**4 - 393 + 2*f**4 - 2*f**2 - 511 + 15*f**4 to x*f + b*f**3 + j + t*f**2 + s*f**4 and give j.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 89 + 175. Suppose -2*u + c - 1 = m, 6 = 3*u. Is m at least 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 13509868.83913.\nAnswer: -13509868.93913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2584*i + 1271*i + 1227*i + i**2 in the form f + r*i + c*i**2 and give r.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*h - 90*h = -298*h + 43030. Solve -20*y + 431 - h = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-2)*28\/(-84))\/((-16)\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b**2 + 2*b - 9. Let y be d(-3). Let a = -22 + y. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62437 and -0.1122.\nAnswer: -7005.4314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 - 106. What is the fourth biggest value in 4, 2\/5, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4857 is divided by 2100.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.194 times 0.0482?\nAnswer: 0.0093508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3008810*j + 2406999 with respect to j.\nAnswer: -3008810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 566. Let n = 629 - b. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15225357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -156, -213, -324, -507?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -364. Let c = w - -152.999998716. Round c to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a + 2. Suppose -31*c = -32*c - 2. Let j be q(c). Solve 4*o = 3*t + 2*t + j, 0 = -3*t - 3*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = 5*m, -3 = 4*b + 2*m + 7. Suppose b = 5*x - 60 - 205. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -10 - (-1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/448386 and 52\/6819.\nAnswer: 1019181378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3\/14*v**2 - 4\/35*v**5 - 27 + 4\/21*v**3 + 1\/14*v**4 + 1\/42*v**6 + 0*v. Let p(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2813955 divided by -5.\nAnswer: -562791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*k - 62 = 733*k - 316*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*i + 372, 8*a = i + 4*a - 124. Suppose 0 = w + 3*w - i. Let x = 126 + -118. Calculate the remainder when w is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20705 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056608?\nAnswer: 2, 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 16 (c) -3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 5*w - 3*w + 6*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510173.\nAnswer: 59, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 14*k + 5. What is s(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*o + 1\/4*o**4 - 9*o**2 - 1\/2*o**3 - 16.\nAnswer: (o - 8)*(o + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351118 is divided by 288.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/(88\/10340*47)*-76?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*a**2 - 5572*a - 1295881?\nAnswer: 12*a - 5572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*f**2 - 398322*b*f - 1506100*f**2 - 8*f wrt f?\nAnswer: 2*b - 3012200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 14 = -2. Sort -8, -4, g, 4 in decreasing order.\nAnswer: 4, g, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45889 less than 2.8857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 + 5*z**2 - 2 - z**3 + 65*z + 2 - 57*z to the form b*z**2 + l + c*z + s*z**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12644 - -126566?\nAnswer: 113622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 11, 1\/6, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1526964, 1526948, 1526932, 1526916?\nAnswer: 1526900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(72))\/(sqrt(64)\/sqrt(4)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**2 + f**2 + 2*f**2 + 0*f**2 + f. Let p be v(-1). Let m = p + 7. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 796*f**2\/5 + 1562*f + 3880.\nAnswer: 2*(f + 5)**2*(f + 388)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -5 + (-21 - (-56640)\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/172986 and 35\/125808.\nAnswer: 1383888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47055*l**3*v**2 - 2*l**3 + 2064*l**2*v**2 - 74*l**2 + 24538*l - 1 wrt v?\nAnswer: 94110*l**3*v + 4128*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 80. Let s be k(26). Suppose 4*h - 554 = -s*m, 5*m - 176 = -h - 33. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938979221?\nAnswer: 3, 137, 1033, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let y(b) = -9*b - 14. Calculate y(j(g)).\nAnswer: 18*g - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 76.5167 centuries?\nAnswer: 91820.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/123 + 11\/164. Which is the nearest to -0.2? (a) -1 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*q + 9137 + 12739 = 0, -21876 = -4*i + 5*q. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10022330 + -2133?\nAnswer: 10020131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 times -1?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + -2*1. Suppose -4*y = -25 + 9. Suppose 6*f + 5*z = 2*f + 27, -y*f + 4*z = 0. Solve f*a = -p - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/4 - 11*u**3\/2 - 270*u**2 + 1671*u. Find y, given that b(y) = 0.\nAnswer: -9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2168945580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-3)\/(-6)). Suppose -2*h + h + 17 = 0. Let i(f) = -2*f - 26 + h + 10. Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10028?\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose -s*j = -2, 4*j + 35 = 5*v + 104. List the prime factors of -1*2 + 0 - v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -921\/4, 0.032, 0.2?\nAnswer: -921\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6069\/(-60401)*88\/(-28)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -195.9812871 and -22?\nAnswer: 173.9812871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 - 6 = 0. Let c(d) = d**3 + 9*d**2 - 13*d - 14. Let x be c(r). What is the units digit of (x - 0)\/(20\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 17 = 13, 144*w - 5*o + 34 = -142*w + 287*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 30*j**2 - 12*j - 110. Determine c(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 192 = -14*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -34. Suppose -4*n - 28 = 5*g, -5*n + g = -g + 68. Let u = n - w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7))\/p**(-6))\/((p*p*p**0)\/(p**0\/p*p))*(p**(2\/3))**(3\/29)*(p**(-1))**(-34) assuming p is positive.\nAnswer: p**(1336\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x**2. Let z(b) = 2*b**3 - 17*b**2 + 19*b - 91. Let u be z(8). Let y(m) = 7*m**2. Give u*p(w) - 7*y(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11670 - -14107. Does 134 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 509609.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300755477 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 4*n**2 + 2*n - 2. Calculate the remainder when l(-2) is divided by (-2)\/(-8) + 110\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2ab517?\nAnswer: -2ab514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11592 = -30*j - 16*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4)\/6*(-75)\/10 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3735633 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*((-14490)\/75)\/23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/57, -5, -1?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -3.3. Let g be (-1428)\/(-595)*(-10)\/(-8) + 6 + 2. Put k, 3\/7, g in descending order.\nAnswer: g, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1. Let j(c) = -c - 5. Let i(n) = j(n) + 2*w(n). Let u be i(5). Let h be (3\/(-6))\/(1\/u). Solve 2*b - h*b = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 13*t**2 + 4 - 2 - 3*t**3 + t + 5 - 8*t. Let a be p(5). Let m = a - -118. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, 4, 1, -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-4913)\/1445)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 134 = -46. Suppose -8 = -4*z - 0*z. Suppose -3 = 3*h + f, 2*h + z*h = -f - 3. Solve h*x = -3*x + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i. List the prime factors of f(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(-3))**14*((t\/t**(2\/7))\/t)**(15\/7)*t**(4\/7)*t**(4\/5) assuming t is positive.\nAnswer: t**(-16964\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/87 and 28\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*y - 4078 = 4*i + 7690, -4*y = -i - 181 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 9.93. Let s = 0.33 + d. Which is the nearest to 1? (a) s (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 + 4*j + 7. Give v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c - 2*c)*(3*c - 5*c + 5*c) - 3*c + c**2 + 3*c + 6*c**2 + 9*c**2 - 6*c**2 + (-5 + 6 + 0)*(1 + c**2 - 1).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -5.492?\nAnswer: -109.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - -57)*-2*(-1)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 b when four letters picked without replacement from {m: 3, u: 7, b: 3, k: 2, t: 4}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 14*t**2 - 12*t + 0*t**2 - 11*t**2 to the form b*t + u + p*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(272) + 2)*2 - ((0 + -4 + sqrt(17) + (sqrt(17) - (-1 + sqrt(17))))*1)**2)*3.\nAnswer: -84 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + p)*(16*p**2 - 2*p**2 + p**2)*(13 + 1 + 48*p - 12).\nAnswer: 1440*p**4 + 60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/10*(2 - (-955)\/(-475))\/(465\/(-3875))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151786387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*o - 2 + 10, 11 = -k + 5*o. Let n = 3 + k. What is the least common multiple of n and -2 - (-4 - (-1 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2410*l**2 - 925*l**6 - 193*l**2 + 6*l**4 - 6*l**4 - 1470*l**6 wrt l.\nAnswer: -287400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/7 + 34*f**2\/7 + 32*f - 616 = 0. Calculate f.\nAnswer: -11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j - 57. Let u(f) = -2*f - 3. Calculate -k(t) + 2*u(t).\nAnswer: 5*t + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}