diff --git "a/data/dm_maths/full_data_1/1738_11255.jsonl" "b/data/dm_maths/full_data_1/1738_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1738_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (-5479)\/43832*((-4)\/2)\/(2\/(-2))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2106.847 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.487 + 63597821?\nAnswer: 63598130.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 390 = -4*h, -293 = 5*h - 2*h + 4*m. Let r = h + 152. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 3*s**2 + 15*s + 11. What is u(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4520129548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17*y - 78. Let h = 734 - 739. Let w be v(h). Solve 0*k - 7 = -w*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178756, 714794, 1608190, 2858944, 4467056, 6432526, 8755354?\nAnswer: 11435540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 2*t**2 - 2*t + 4. Let c = -309 + 305. Let d be h(c). What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -w - p + 11, 0 = 4*w + 2*p - 14. Calculate the remainder when 111 is divided by ((-228)\/28)\/(w\/(-14)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**3)\/a)**(-42)*(a**4\/a)**(-3\/4))**37)**(3\/17) assuming a is positive.\nAnswer: a**(54945\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524464413.\nAnswer: 3, 11, 15892861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 5*u**2 - 2*u**2 + (0 - u + 0)*(0*u + 0*u - u))*(0 + 8 + u - 5) as n + c*u**3 + s*u**2 + b*u and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/128 and 53\/6?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85\/45 + (-2)\/(-18). Suppose -2*g + 4 = u. Sort g, -2, 4.\nAnswer: -2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 16*u**2 - 21*u - 24. What is the tens digit of k(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 3723?\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1125.003965 + -1155.0039. Let a = -30 - c. Round a to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 2880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + 3.01. Let o be 2\/(-6) - 21\/(-36). Let y = 2.7 + -7.7. What is the nearest to o in y, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(208) - sqrt(208)) + sqrt(208) + -2 + sqrt(208) + sqrt(208))**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1465222443 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + 2 + -5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 226.6\nAnswer: 906.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4263\/2, -19 in descending order.\nAnswer: 7, -19, -4263\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -0.05.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f - 3. Let v(t) = -2*t**2 - 3*t + 8. Let o(j) = 3*p(j) + 2*v(j). What is o(12)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, 1 v, and 1 x when four letters picked without replacement from iybvbsvsvxiy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-819)\/126)\/((4\/48)\/((-8)\/24)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 324, 638, 1160, 1968, 3140, 4754, 6888?\nAnswer: 9620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - (-27 + 87 - 13).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a922 (base 13) in base 7?\nAnswer: 125366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5\/3 - 53*k**4\/3 - 23*k**3\/3 + 73*k**2\/3 + 28*k\/3 - 20\/3 = 0.\nAnswer: -10, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255843, 255834, 255821, 255804, 255783, 255758, 255729?\nAnswer: 255696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(3\/4)*d*d*(d*d*(d**19*d*d)\/d*d)\/d*d)\/((d\/d**25)\/d**(-17)) assuming d is positive.\nAnswer: d**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568108.8888 rounded to the nearest 100?\nAnswer: 568100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*y + 4 + 8*y**3 + 5*y - 12 as p + n*y**3 + c*y + q*y**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4713136*j**3 + 2*j**2 - 4713143*j**3 - 3*j**2 - 3*j**2.\nAnswer: -7*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7442707 = 82*q + 14*q + 7443475 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 10394?\nAnswer: 10393.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 - -32 - (-80 - -6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 0 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 418693*g + 175303828249.\nAnswer: (g + 837386)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17*k. Let x(f) = 4*f. Let n(g) = 6*m(g) + 26*x(g). Let t be n(11). Suppose -5*p + i - t = 0, p - 2 = -0*p - 3*i. Let c(b) = -b. What is c(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 11622 + 24918 = 0. Round t to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 7}. What is prob of sequence tr?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, -213\/10, -2\/5, 2.065 in increasing order.\nAnswer: -213\/10, -4, -2\/5, 2.065, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3186 - 3188. What is the second biggest value in -8\/17, w, -0.3?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:29 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104592?\nAnswer: 2, 7, 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12*w**3 - 2*w**2 - w. Let b(r) = -r**2 - 19*r - 65. Let o be b(-7). Let x(f) = f**2 - 19*f - 1. Let c be x(o). What is h(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*l + 151*l + 110 - 5*l + l**2 - 3*l**2 wrt l.\nAnswer: -4*l + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 332? (a) 57 (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 37. Let x = r - -5. Let z(t) = -t**2 - 6*t + 1. What is z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - 34\/(-6). Find the third derivative of 2*c**2 + c**h + 0*c**6 + c**2 wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 2*v - 7*v)*(-v**2 - 3*v**2 + 34*v**2) to the form x*v + m*v**3 + o + a*v**2 and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2 + 4*x**3 + 0 + x - 2*x - 6*x**3. Let z be r(-2). Solve -f - 4*p + z = 0, -7 = f - 2*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743584033 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: Let y(q) = q**3 - 4*q**2 - 4*q. Is y(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113322 divided by -33\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-2*r**3 - r**3 + 0*r**3) - 4*r**3 - 2*r**3 + 2*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 197 = 164 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24433049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.5 (b) 3 (c) 7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299878479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*((3*sqrt(567) - sqrt(567)) + 5) + -4)*-2)**2.\nAnswer: 29376*sqrt(7) + 331216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 236 = -3*w - 4*k, -114 = 2*w - 2*k. Let g = w - -63. Solve g*d = -3 + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 1\/8 (c) -2 (d) 81\/2 (e) 2635 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 3*x**5\/20 + 5*x**4\/4 + 3*x**3\/2 + 7*x**2\/2 - 99. Let g(w) be the second derivative of r(w). Solve g(b) = 0.\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 2*j + 3*j. Suppose -16*i = -10*i - 582. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1429604, 5718470, 12866606, 22874012, 35740688, 51466634?\n\"Answer: 1429635*d**2 - 39*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19. What is the nearest to 3 in -0.4, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99)*-3 + sqrt(99).\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*((-4*sqrt(22)\/sqrt(11))**2 + 0) - (-3 + (1*-4*sqrt(162))**2)).\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7450 + -5?\nAnswer: 7446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 17.3 (b) -0.3 (c) 0.15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 13*l**2 - 4*l + 5. Let s(c) = 6*c**3 + 14*c**2 - 5*c + 6. Suppose -8474 = -6*m - 8444. Calculate m*z(h) - 4*s(h).\nAnswer: h**3 + 9*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 11*w**2 - 19*w + 5. Let b be s(10). Let l = 106 + b. Solve 5*v + 2*v = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 4379*c - 160654.\nAnswer: -(c - 4342)*(c - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -159142\/29 less than -5487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 408692.84 + -872528.\nAnswer: -463835.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i)*(-56*i - 15 - 104*i + 122*i).\nAnswer: 76*i**2 + 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13121862 divided by -452478\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/2, -0.1, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1159036291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6 = -9*b, 2*b - 9 = -5*d - 73 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7660917 divided by -2553639?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evmvvexvxevv. What is prob of sequence em?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-10)\/4))\/((-118)\/118). Is 7.04 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11186346*d**3 + 107*d**2 - 107*d**2 - 11186343*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -10.1. Let c = 2.9 - m. What is the smallest value in c, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2439, 2455, 2481, 2517, 2563?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 - -1.83. Is b > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-23)*i\/(i\/((i**(-2\/11)*i*i)\/i)*i)*(i**(-14)\/i*i)\/(i*i*i**(2\/13)) assuming i is positive.\nAnswer: i**(-5625\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 135. Suppose -5*v - u = 8. Let i = 9 - v. Solve 4*s = -j + 13, -6*s + s + i = 5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 71*j**2 - 6*j - 3. Let h(f) = 355*f**2 - 32*f - 17. Determine 11*d(t) - 2*h(t).\nAnswer: 71*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1032 (base 6) to base 15\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:57 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 8*p - 9*p)*(-p**4 - p**4 - 2*p**4) + 1 + p**5 - 1.\nAnswer: 25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*s + 15729856 + 95669193 + 21049751 = 0. Round s to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*3*(sqrt(143) + sqrt(143)*1))\/((sqrt(176) - sqrt(11))*-5 + sqrt(11) - 5*(sqrt(11) + -2*sqrt(11))).\nAnswer: -10*sqrt(13)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {l: 15, h: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63398578 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + h + 878 = 0, -5*j - 6*h + 1468 = -3*h. Let a be -1*(j\/(-4) + 1\/4). Is a*64\/6 - 2\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + 22.19. Let g = k - 6. Let c = g - 16.000022. Round c to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5\/6 + 155*f**4\/6 + 2857*f**3\/6 + 11437*f**2\/6 + 2488*f + 1032 = 0 for f.\nAnswer: -12, -3, -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522902*a + 32 - 32 + 2*a**2 + 522942*a.\nAnswer: 2*a**2 + 40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4000 or 4002?\nAnswer: 4000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3191 (base 10) to base 7.\nAnswer: -12206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 - 220.3. Round p to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {c: 2, d: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 21\/5 + (16 - 1053\/65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 9. Let n be s(-10). Let c = 0.6 + -1. What is the biggest value in 3, n, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x**3 - 7*x**2 - 4. Let i be p(6). Suppose 11*z = 21*z - i. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 1 - (2 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by 294?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381*a**3 - 13*a**2 + 8*a wrt a.\nAnswer: 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 26*c**2 + 51*c - 68. Let w be i(24). Let g(t) be the first derivative of -w - 3\/11*t**2 - 2\/33*t**3 + 0*t. Determine y so that g(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 30652054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4556.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let k(v) = -v**2 - 17*v + 12. Is k(-12) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**3 + 243*g**2 - g - 25. Let m be t(-27). Solve -4*x - 3*n + 5 = 0, m*x = -19*n + 17*n + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1381? (a) 4 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*r - 17*r - 4 + 4.\nAnswer: -302*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r**4*x + 2*r**4 - 11742*r**3*x - 4*r**3 + 7403*r**2*x - r**2 - 52*r*x wrt r?\nAnswer: 168*r*x + 48*r - 70452*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0360428193 to 4 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -5\/1613 (c) 40 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*i = -5*i - 52, -5*p - i = 94. Let k = -9 - p. Solve 3*d = -2*d + k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18955, 37908, 56861, 75814, 94767?\nAnswer: 113720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 3 + 3 - 9*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118163, -236331, -354499?\nAnswer: -472667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -2)*22\/8. Let f = 33 + i. 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: What is the next term in 154720, 154017, 153314, 152611?\nAnswer: 151908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) 8\/3 (c) -0.4 (d) 142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 320 + 29*k**2 - 28*k**2 - 85. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let j be g(5). Suppose -j*m + 8*m = u - 14, -5*m = -4*u - 4. Let k be 184\/6*u\/(-4). What is the greatest common factor of k and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 10. Let b be z(-9). Let a be -2*(9\/(-6))\/b. Solve 2 = -a*k + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 0. Let p be 477\/636*(-32)\/14. Sort h, p, 2\/11 in descending order.\nAnswer: 2\/11, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/70)\/(35\/490).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**4 + 7105*r**3 - 42765*r**2 + 64215*r = 0.\nAnswer: -1427, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v - 1. Suppose f - 5*n - 22 = -3*n, 3*f - 4*n - 68 = 0. Calculate the remainder when z(9) is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*g - 42 = 0, -n - 26 = 2*n + g. Let x = n - -8. Suppose 5*s = -x*s. Sort s, 5, 1 in descending order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 + -216. Find the second derivative of -p*c**3 + 139 - 248 + 122 - 2*c wrt c.\nAnswer: -384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 0 - (-12)\/4. Suppose 5*q = q + n. Solve q = -a - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-60)\/(-10))*12*(-1)\/((-8)\/26).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1093*r - 36*r**4 + 1093*r + (-r**2 - 4*r**2 + 3*r**2)*(-2 + r**2 + 2))*(2 - 5 + 1) in the form z*r**2 + s*r**3 + h*r**4 + q*r + c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0, 3, -3\/61855 in ascending order.\nAnswer: -3\/8, -3\/61855, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 11152*o**2 - 8033680*o + 360364800 = 0. What is o?\nAnswer: 48, 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/6 + 83*q**2\/6 + 160*q\/3 + 158\/3 = 0.\nAnswer: -79, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 11) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6636551 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 5*a - 28. Suppose 51 - 69 = -3*f. Let k(r) = r + f - 2 + 4 - 2. Give -5*k(z) + 6*t(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54343297 to the nearest integer?\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4. Let f be 4\/14*(-1 - v). Which is the smallest value? (a) f (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 4)\/(7 - 21)*1. Put -1, 0.1, y, -3\/17 in decreasing order.\nAnswer: 0.1, y, -3\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 3 + 3)*(7*q**2 + 3*q**2 + q**2) - 3*q**2 - 2*q**3 + 3*q**2 as l*q**3 + s*q**2 + u*q + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from eeegegegeigefeeeefg?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 9. Suppose 0*y - 2 = -y. Let k(g) = 1 - 4*g**3 - y - 4. Let a(c) = -5*c**3 - 6. Determine x*a(w) + 6*k(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1625083 and 58181.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(-2\/45))\/m)*m)\/(m\/((m\/m**(-2\/25)*m)\/m)*m))**19 assuming m is positive.\nAnswer: m**(4807\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2966700 divided by 593340.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 4*i - 15. Calculate g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147000884 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 0*h**2 - 2*h**2)*(-4*h - 2*h + 2*h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.4356ml to litres.\nAnswer: 0.0474356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2040*m**2 - 2*m - 990*m**2 - 1015*m**2.\nAnswer: 35*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818*h**2 - 2*h + 210*h**2 + 223*h**2 + 216*h**2 + 203*h**2.\nAnswer: 34*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28536583 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-4 + 7\/3). Suppose -5*z + 15 = -n. Calculate the lowest common multiple of z and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.52 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 1791*v**2 - 85 - 332*v**2.\nAnswer: 1459*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-980) + (-9)\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*y + 749*y - 309*y + 1 to the form f*y + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.410373 - 4.41. Round j to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1624)\/1015)\/(1\/(-210)*-4)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 815, 2944, 7115, 14012, 24319?\nAnswer: 38720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1594273*c**4 - c**3 - c**2 - 659554*c.\nAnswer: 38262552*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 547251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 19. Let s(c) = -4*c + 5 + 6*c**2 + c**3 - c + 6*c. What is s(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -462542 - 4?\nAnswer: -462546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44228 - 4*n - 2*n**3 - 44228 - 4*n**2)*(-4*n + 2*n + 3*n).\nAnswer: -2*n**4 - 4*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -42. Let r(b) = 0*b + 2*b - 1 + b - b**p - 2. Let d(m) = m**3 - 11*m**2 + 12*m - 15. Let j be d(10). What is r(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -0*c. Suppose 4*a - 38 = c*a. Let i = -9 + a. What is the greatest common divisor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, -52, -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680793*z**3 - 30957175*z**3 - 101883267*z**3.\nAnswer: -137521235*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 10*z + 11. Let s be 4\/(-18) - 83\/(-9). Let j be h(s). What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4289*o + 2135*o + o**3 + 6*o**3 + 2154*o - 4.\nAnswer: 7*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -91*m**3 + 17*m**2 - 9*m + 8. Let n(a) = 23*a**3 - 4*a**2 + 2*a - 2. What is -9*n(o) - 2*x(o)?\nAnswer: -25*o**3 + 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*c**4 - 62*c**4 + 123*c**4 - 5*c**2 + 10*c**3 - 10*c.\nAnswer: 5*c*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49535 + 15976 = -907*s for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 - 7*z - 6. Let g be b(-6). What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:40 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -601, 1\/6, -1\/2 in descending order.\nAnswer: 1\/6, -1\/2, -1, -4, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose 0 = -6*x + i*x - 3. Suppose -6 = -5*c + 9. Put 5, c, x in decreasing order.\nAnswer: 5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 0, -21, 1\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -15, 2*r = f - 9. Sort 5, -1, 6, r in descending order.\nAnswer: 6, 5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6197, -11794, -17377, -22940, -28477, -33982, -39449?\n\"Answer: j**3 + j**2 - 5607*j - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 2*b, -2*b = -3*w + 5 - 4. Suppose b*h + 2*s + 2 = 12, -5*h + 4*s = -19. Suppose 0 = h*x - 2*x - 100. What is x rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18238631*f**6 + 2*f**4 + 32907643*f**2 wrt f.\nAnswer: 2188635720*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.362 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15497?\nAnswer: 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 17.92 (d) 0.3 (e) 0.073 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1.2. Let n = 7 + -9. Sort n, 4, s in decreasing order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 1369623*w**3 + 36982008*w**2.\nAnswer: -3*w**2*(w - 27)*(w + 456568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose 4*j - u*c = 11 + 120, 3*c - 105 = -3*j. Suppose -2*h + 16 + 8 = 0. What is the remainder when j is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-54*(-4)\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*v + 28 = 5*v, 5*i + 2*v = 137. Let r = i + 64. Let g(d) = -3*d**2 - 118*d + 231. Let o be g(-41). What is the highest common factor of o and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-65)\/(-130)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5\/2 + 6*w**4 - 24*w**3 - 96*w**2 = 0. What is w?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Suppose 4*z + 3*r - 2 = t, 4 = -2*z - 3*r + 2. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 52 = -2*m. Suppose 108*i = 107*i. Suppose -29*n + m*n + 99 = i. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3354593*y. Let u(w) = -4*w**2 - 63. What is d(u(k))?\nAnswer: -13418372*k**2 - 211339359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 12:19 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1898 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 0*f - f)*(8*f**2 - 2*f**2 - f**2 + (2*f - f + 0*f)*(-2*f - 1 + 1) + 5*f**2 - 3*f**2 + 0*f**2)*(f + 0*f + 0*f).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.02 (b) -5\/2 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - 7) - (6 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -2\/19?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -38. Suppose 2*n + 4*n - 5262 = c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1495 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438814319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24365455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/4 + 215\/45\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(0*y - 2*y + 0*y)*(4*y + y + 0*y + 3*y - 2 + 2 + (y - 5*y + 2*y)*(2 - 2 - 1)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 308 - 90. What is the remainder when f is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -28*i**3 + 13*i**2 + i + 3. Let u(c) = 57*c**3 - 25*c**2 - 2*c - 7. Determine -7*f(s) - 3*u(s).\nAnswer: 25*s**3 - 16*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 59*t + 2. Let g(d) = -20*d. Calculate g(n(c)).\nAnswer: -1180*c - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -69, -13, 5, -3 in ascending order.\nAnswer: -69, -13, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, 424, 2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7124 and -1.25.\nAnswer: -8905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37550901*g**4 + g**2 + 3452174*g wrt g?\nAnswer: 901221624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -5 - 6 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ac04 (base 13) in base 10?\nAnswer: -423856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11292*o**2 + 129554*o**2 + 1236512*o**2.\nAnswer: 1377358*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:56 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1556.\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 296*f**4 + 14*f**3 - 4*f**3 - 302*f**4 + f - 4*f**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, t: 5, e: 1, z: 11}. What is prob of sequence wz?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x - 47. Is l(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(-2357 + 1348 + 1265).\nAnswer: 256*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**5\/4 + 15*a**4\/8 - 25*a**3\/12 - 26. Factor m(j).\nAnswer: -5*j**2*(j - 5)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 224523820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3737*l**3*p + 38*l**3 + 1 with respect to p.\nAnswer: 3737*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 18. Let c = b + -6.6. What is the nearest to -0.1 in -3\/4, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*p + 16 = 0, 3*v - v - 5*p = 20. Suppose -f - 5*s + 1 = -0*s, -2*f + 4*s + 16 = v. Calculate the greatest common divisor of f and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131390350?\nAnswer: 2, 5, 7, 13, 67, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 12. What is p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 67 = -3*q, 2*q + q = -3*o - 27. Let y = -8 - q. Suppose 0*d = -d + y. Calculate the highest common divisor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509, -510, -513, -518, -525, -534?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/((-26)\/(-9516)). Let m = 173 - f. Let s be 2\/(3*(-4)\/(-30)). Put m, s, 1 in ascending order.\nAnswer: m, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419661 or 1577?\nAnswer: 1577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41320895 divided by 751289.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*(sqrt(147) + 1 + sqrt(147) + -1 + sqrt(147) + sqrt(147)) + (-3 + sqrt(147) + 0 + -2)*-5)*3)**2.\nAnswer: 22050*sqrt(3) + 70452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 1.3. Let o = -1 + k. Let m = -161\/4 - -40. Which is the closest to -0.1? (a) m (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1242 and 4968.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 534 - 2*x**4 + 4*x**4 + 538 + 9*x to d*x**4 + m*x**3 + t + r*x**2 + a*x and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -w, 2*w = -2*w + 4*m + 16. Let g = w - -3. Solve -j = s, 2*s = -g*j + 1 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:28 AM?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 - 8*u**3 + 17*u**3 - 2*u in the form s*u + y*u**3 + w + d*u**2 and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**3 - a - 4. Suppose 65 = 3*v + 2*w, -6*v = -2*v + 2*w - 86. Let x be v*(-1)\/(-9)*3. Let c(u) = -13*u**3 - 3*u - 13. Determine x*o(n) - 2*c(n).\nAnswer: -2*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-1\/3)*s*s\/(s*s**(-9\/2)\/s)*(s**1)**(-8\/5) assuming s is positive.\nAnswer: s**(167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 3*u**2 + 3*u + 3. Let a be s(3). Let l = 2 + a. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -758*y**6 - 122*y**5 + 26*y**2 - 53*y - 22 wrt y.\nAnswer: -90960*y**3 - 7320*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*y = 238*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 41022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.85? (a) -2\/11 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 742482 (base 9) to base 13\nAnswer: 125c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 + i + 7. Calculate k(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(1331) + (sqrt(1331) - -3*sqrt(1331)) + 4 + 2)**2 + 3)*4.\nAnswer: 3168*sqrt(11) + 191820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let i = -5 + k. Suppose -4*x + 3*x + 2*f + 2 = 0, -x - 2*f = 10. Which is the biggest value? (a) i (b) -2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110225\/1307754 + 80\/2247. What is the common denominator of -47\/240 and n?\nAnswer: 69840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*w + 18 + 18, -4*s = w - 34. Let f = -10 - -14. Solve -4*u - i + w = i, u - 2*i = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 divided by 102?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/15 + 4\/(-10). Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z + 2604 = 872 - 676 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 9*s**2 + 14*s + 5. Is f(10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6))**(-41)*t**(3\/2)\/t*t**(6\/5) assuming t is positive.\nAnswer: t**(-2853\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276.4 - -1157. Let v = -880.592613 + d. Round v to four decimal places.\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 11, 0.7, 1.111?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -400\/1351 + 2\/193. Which is the nearest to o? (a) -5 (b) -3 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -296 - -3?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -0.12 (b) 2 (c) -2.8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (16 - (-45 - -82))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-1 + -2))\/1. Let r = -10 + q. Put -0.1, -1, r in increasing order.\nAnswer: r, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263437592 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -43. Let p = q - -62. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*x + 11 = 0, -s - s = -x - 3. What is the smallest value in 1\/292, s, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f*n**3 + 2*f*n + 246659*f - 1608*n**4 - n**2 wrt n.\nAnswer: 24*f*n - 19296*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/3 - 80*n**2 - 2144*n\/3 + 4096 = 0. Calculate n.\nAnswer: -12, 4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10 - 9*r - 3*r**2 + 3*r**2 + r**2. Let y be f(7). Which is the second smallest value? (a) 1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -92, -259, -530, -911, -1408, -2027, -2774?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -4\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42341 = -4*t + 5*l, 5*l = -4*t + 22901 + 19470. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -66. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 25. Suppose 4*i + k*t - 3 = 2*i, -i + t + 5 = 0. Suppose 0 = i*x - 22 + 2. Solve x*u + 4*h + 2 = -27, 2*u = 3*h - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -18*o + 3. Suppose -b - v = -2, -v = -2*b - 1 + 8. Let h(l) = 19*l - 3. Let q(x) = b*p(x) + 4*h(x). Find the first derivative of q(m) wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5969, 23268, 51897, 91856, 143145, 205764?\nAnswer: 279713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 79?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 2*n = -432, z = -4*n - 90. Let h be (-23)\/46 + z\/(-4). Let m = h - -4. What is the highest common factor of 90 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.072 - -4.928. Which is the biggest value? (a) i (b) 0.5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from crxxxvr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g + 1406 + 308 = -398 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23050870 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 0. Let f = -13 - x. What is the remainder when f is divided by (39\/(-117))\/(3\/2)*54\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*d**4 - 344*d**2 - 130*d**4 + 2*d**3 + 343*d**2 + 18 as h*d + x*d**3 + p + n*d**2 + s*d**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) - (sqrt(2736) + -1*sqrt(2736))) - (sqrt(2736) + (sqrt(2736) - 4*(1 + sqrt(2736)))))**2*2.\nAnswer: 49248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*w + 318 = 0. What are the prime factors of (w\/(-6))\/(6\/18)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14613, -58444, -131501, -233784, -365293, -526028, -715989?\nAnswer: -935176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2345 and 30030740.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4479 - 4478. Let z = 2.99 - -0.01. Put z, 0.1, 7, r in ascending order.\nAnswer: 0.1, r, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120129 = -5*s - 10804. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k - 32. Suppose 4*n + 5*z + 48 = -9, -3*n + z - 19 = 0. Calculate the lowest common multiple of 88 and x(n).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/906018 and -76\/27.\nAnswer: 8154162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 at least as big as -8486\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 254 and -122.\nAnswer: -30988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 7*a**6\/120 - a**5\/12 + 5*a**4\/24 - 5*a**3\/6 + 9*a**2. Let h(x) = -6*x**3 + 4*x**2 - 4*x + 4. What is 5*h(f) + 4*v(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.900007 + -1.9. Round v to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let f(d) = d**3 + 5*d**2 - 3*d - 7. Let s be f(-6). Let u be 1\/2 + s\/30. Which is the closest to 0? (a) l (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11766, 11757, 11748?\nAnswer: 11739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -118898.68 to the nearest one thousand.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -41*x**3\/3 + x**2 - 7*x - 35. Let o = -5 - 2. Let p be c(o). Round p to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3102800 to the nearest 10000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 - 2720*g**4 + 404915*g**3 - 9244140*g**2 - 9651780*g = 0.\nAnswer: -1, 0, 29, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295607 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6626.894 kilometers?\nAnswer: 6626894000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 565*q**2 - 9*q + 6*q - 5*q - 10*q - 35 - 2631*q**2 wrt q?\nAnswer: -4132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 179 in -65\/4, -22, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10819*c**2 + 9543.\nAnswer: -21638*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3, 0.1.\nAnswer: -3, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -62?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l + 152*l - 35*l - 34*l - 29*l - 24*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/(-35)*1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -7. Suppose -c*f + 4*f = 12. Let l(v) = v**3 + 4*v**2 + 3*v + 5. Give l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3cd044 - 3?\nAnswer: 3cd041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8384.967 millilitres to litres.\nAnswer: 8.384967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296084408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f + 477. Determine q(61).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:21 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23396 + -23388. Which is bigger: d or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from qbjjlqr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1\/2, -11, 2\/7, 2\/23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 75 (c) -3 (d) -2\/7 (e) 0.104 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 111 = 3*z, 3*k + z - 170 + 55 = 0. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -27*x - 118. Calculate i(-9).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**2 - 4*s + 2\/3*s**3 - 1\/12*s**4 + 0. Let x be k(3). Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 132143.2mm?\nAnswer: 0.1321432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-12)\/(-16) + 17. Suppose g*v + v - 50295 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 6, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, r: 5}. Give prob of sequence rzr.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231332885.\nAnswer: 5, 7, 19, 233, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/6*(-2)\/3. Let q = j - 3. Let y(l) = 4*l + 5*l**3 - 5*l**3 + 2*l**2 - q - l**3. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + 5*l + 5. Give h(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + f**2 - 3)*(-1548 + 770 + 733 - 5*f).\nAnswer: -5*f**3 - 45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(45\/(-3)))\/(-19)*27\/18.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18744.\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 529*q**2 - 138*q + 9.\nAnswer: (23*q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 105.9. Let a = -0.9 - n. Let y = a - 11.99999925. Round y to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/180 + k**5\/15 - k**4\/3 - k**3\/3 + 4*k**2. Let u(h) be the first derivative of g(h). Let u(x) = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 23\/1203246?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/6 in -0.2, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 + -2)\/8)\/2 - (-60263)\/28. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2029788 at most as big as -2029788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202114*2.\nAnswer: 404228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e1 + 10?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 84.\nAnswer: -5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 - 2*x**3 + 2*x**3 + (-7*x**2 - 5 + 5)*(-x**3 - x**2 + x**2).\nAnswer: 11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 297917775 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: b\"What is the mth term of -78, -305, -532, -759?\n\"Answer: -227*m + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/4)\/(3\/18). Suppose s = -m + 4*m. Find the second derivative of 3*l - 131*l**m + 0 + 0 + 125*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8940*n**3 + 9020*n**3 - 18172*n**3.\nAnswer: -212*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 5.05. Let v = 2\/911 + 2717\/7288. Let k = 0.03 - -0.37. Which is the second smallest value? (a) z (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 63\nAnswer: -26\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/16 + 7\/48. What is the fourth smallest value in -3\/5, z, 5, 1.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 + 2 + 2*q**3 - 3*q**4 + 4*q**4 - 16*q**2 - 5*q**4 as o*q**3 + k*q**2 + z + a*q + h*q**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65002581 by -7222509.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -e?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 35\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -0.5, 3\/7, 58, -2, -0.561 in descending order.\nAnswer: 58, 33, 3\/7, -0.5, -0.561, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37720 + 2?\nAnswer: 37722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 + 12234*u + 12232 = 0.\nAnswer: -6116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*o - 72 = 2*o, 0 = 3*s - o - 52. Let t(l) = -10*l + 2. What is the remainder when t(-3) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22033\/9 + 2448. Which is the closest to 1? (a) 2\/43 (b) 0.2 (c) l (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -4789792?\nAnswer: -3\/598724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771980?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/3 - 7*q**2\/2 + 7*q. Let y be f(4). Solve 4*i - 3*h = -10, -2*h - y = 3*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 + -5)*25245\/4590\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298003 + 1668.\nAnswer: 299671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11828454 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4)*-6)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6\/11, 3\/127, 16\/9 in decreasing order.\nAnswer: 5, 16\/9, 6\/11, 3\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:55 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -13 + (-4 - -8 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 624.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/3 (b) 3.1 (c) -1 (d) 2\/35 (e) 3 (f) -0.082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((27 - 5) + -5 - 5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 4*u = 7*g + 9 + 72, 6*u - 2*u = -4*g - 72 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/11 (b) 5 (c) 0.62 (d) -28 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25284.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71182 + 5.\nAnswer: 71187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 276486667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/60 + r**4\/12 + 20*r**3\/3 - 37*r**2. Let t be j(8). Let q(b) = -22*b + 29. What are the prime factors of q(t)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (396\/363 + 1704\/132).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - -1d?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) + 242\/10. Let v(q) = -5*q**3 + 2*q + 2. Let u be v(-2). Let k = u - p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.4 (b) -28 (c) -0.1 (d) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 6*z**2 - 16*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddavddadvdddewddfd. Give prob of sequence ef.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/(9\/(-28539)) - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - ((-4)\/(8\/(-2)) + (2 - -4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-40) + (-10)\/(-4). What is the greatest common divisor of u and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -68007?\nAnswer: 13601.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 12:57 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6370 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r - 1\/2*r**2 + 7\/4*r**4 + 6 + 2\/3*r**3 + 4\/5*r**5. Solve l(h) = 0 for h.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 + 37041*t**3 - 2541951*t**2 + 4972791*t - 2467878 = 0. What is t?\nAnswer: 1, 67, 12278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let k(s) be the third derivative of s**5\/20 - 26*s**2. Calculate g(k(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:26 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 2, n: 1, x: 1}. Give prob of sequence henx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*y + 495 = 58*y + 68*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -6*i + 2*w - 147, -580*i - 518*w = -584*i - 523*w + 127 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + (2 - 5 - -1). Solve f - 3*m - v = -m, -15 = 3*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/17)\/l**(-4) assuming l is positive.\nAnswer: l**(70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 48\/11, 1\/3, -2\/11, -5\/169 in decreasing order.\nAnswer: 48\/11, 1\/3, -5\/169, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 8*b**2 - 10*b - 21. Let a be j(-7). Suppose a = -95*k + 93*k - 6. Let i(y) = -1 - 3 - y + 0 + 0*y. Calculate i(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -261.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 p when three letters picked without replacement from jyyuyyjpuyuj?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m - 47. Let l(f) = 3*f - 24. Determine 7*l(c) - 4*p(c).\nAnswer: c + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9885*w - 140. Is y(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**10\/l)**44)**(14\/9))**(9\/11) assuming l is positive.\nAnswer: l**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 706128 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(12\/(-3))\/2. Suppose 0 = -2*z - 5*h + 3*h, -f = 4*h. What is the derivative of 2*p - p - p - z - p**4 wrt p?\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-5523))\/((-4)\/(-6)). Let g = -797\/1052 - l. Suppose -12*z - z = -3*z. Which is the second smallest value? (a) -0.4 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18450 = 6*p + 9*p. List the prime factors of p.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43285000 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + (-1)\/3. Let h = 120 - 190. Let k be -2 - (-240)\/h*(-4)\/6. What is the biggest value in g, k, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-300)\/(-76) - 3) - 4. Factor -m*x**3 - 4\/9*x + 2\/3*x**2 + 0.\nAnswer: -2*x*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 + 15*r**2 - 14*r + 4. Let n be h(1). Which is bigger: n or -2\/22883?\nAnswer: -2\/22883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115210133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -4*v = -k*v - 8. Solve 0*x = 2*x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.28 and -2.\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4182.84972 microseconds?\nAnswer: 0.0000000069160875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c2 - -266c8?\nAnswer: 267ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p**4 - 14. Let w(j) = -9*j**4 + 15. Let q(i) = -5*m(i) - 4*w(i). Differentiate q(c) with respect to c.\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6798, -12846, -18918, -25014, -31134, -37278, -43446?\n\"Answer: -12*u**2 - 6012*u - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137 is divided by 156.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 35 = -3*h, -25 = -2*h + 5*a + 15. Solve -2*i + 5*i + h = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*d**3 + 248 + 73*d**2 - 15*d**2 + 15*d**3 - 25*d**3 + 4*d**3 - 244*d.\nAnswer: (d - 2)**2*(d + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77909.98 centuries in years?\nAnswer: 7790998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2959, 11867, 26715, 47503, 74231?\nAnswer: 106899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/15)\/(3\/(-2)). Let i = 0.08 + -5.08. Sort -0.3, m, i in ascending order.\nAnswer: i, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 3 - 4)*(161*l - 419*l + 173*l) to the form s*l + z and give s.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-709)\/4*(-2 + -18). Suppose -5*p + 305 = -h. Suppose -2*w = -5*q - 104 - 219, -5*w = -5*q - p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 4*p - p**2 + 2*p + 5. Let j be q(-5). Let d be 0 + -3 - j\/7. Solve 0 = -2*l - d + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337147, 674326, 1011505, 1348684?\nAnswer: 1685863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*u**2*x**2 - 193*u**2*x - 7*u**2 + 1883*u + 1 wrt x.\nAnswer: 80*u**2*x - 193*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -181, -16755.\nAnswer: -16755, -181, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -380, -576, -776, -980?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(79 + 83 - 160 + 29*z**2).\nAnswer: -29*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2 + sqrt(343))*-5 - (sqrt(343) - (2*sqrt(343)*2 + sqrt(343))) - 6*-5*(sqrt(343) + -3))*-6)**2.\nAnswer: -1461600*sqrt(7) + 10744668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20371 + 20372. Let m = 189\/19 + -10. Is m greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + -2*sqrt(140)*1)\/sqrt(7))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*12\/27*-9)\/(10\/65)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y - 5*h + 27 = 0, -y + 9 = 2*h. Solve -l + 5*q - 18 = 0, y = 5*l + 4*q - 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woqqwqqwwwwqoqq. Give prob of picking 3 q and 1 o.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/126 and -29\/629727?\nAnswer: 3778362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 225\/135*9\/8*584\/219\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4584.003 litres?\nAnswer: 4584003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*((-255)\/24 + 10). Factor 0*j**2 + 0 + 4\/3*j**3 - 2*j**4 - 10\/3*j**w + 0*j.\nAnswer: -2*j**3*(j + 1)*(5*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10468\/(-54957)*(-7)\/(-12)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-4 + 2)*-2. Suppose 0*b = d*b + q - 182, 0 = 4*b + q - 146. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose k*a + 4*c + 3 = -10, 2*c + 2 = 0. Is 637 + -8 + (-6)\/(0 + a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-16)*(-8)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9014405 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52461\/4 - -13116. Let r = -1.6 - -2. What is the nearest to -0.1 in r, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288100939 to the power of 1\/3, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -16*t + 18*t. Suppose 0 = -4*o - 16, -t*l = -4*l + o + 10. Calculate the remainder when (-23 - 5)\/(0 - 1) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82287009.\nAnswer: 3, 7, 103, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34342 by -6919.\nAnswer: -3122\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -37.8106, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 - j**5\/12 - j**4\/24 - 4*j**3\/3 + 2*j**2. Is a(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 5*j = -10, 4*m = -4*j + 20. What is the third derivative of -34*y**5 + 24*y + 7*y**m + y**4 + 11*y**2 + 1 - 24*y wrt y?\nAnswer: -1620*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/5))**(-42))**(-16)\/((p**(-1)\/p)**(2\/27)*p**(2\/11)*p**4) assuming p is positive.\nAnswer: p**(393178\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 2:51 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:07 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5344 and 17\/12024.\nAnswer: 48096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 147 = 137*o - 140*o, -13*r - o + 613 = 0 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -94. What is the tens digit of -1 + (4 - 3) + j + 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((245\/21)\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {f: 1, m: 5, u: 2, x: 2, l: 4, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-118)\/(-10) - (-2)\/10 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7065.57 - -7079.56972. Let s = -14 + p. Round s to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2457658?\nAnswer: 2, 7, 349, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyn when three letters picked without replacement from yyny?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4267660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2, 3*l - 198 = -3*v + 174. Calculate the remainder when v is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in 1\/2, -5\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13*5452000\nAnswer: -70876000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -620, -2009, -4054, -6749, -10088?\n\"Answer: s**3 - 334*s**2 - 394*s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 91942?\nAnswer: 27582.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/(6\/72).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/25)\/(-2 - -1). Let l(y) be the second derivative of 5*y**4\/12 - y**3\/6 - y**2 - 2*y. Let n be l(-1). Solve h = p + n - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 12 - 11*q + 2*q**2 - q**2. Let x be h(-12). Let f = x + -6. What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12800)\/(-32))\/40*(-1)\/4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a**2)*(-3*a + 7*a + a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 2*i - 3\/2*i**2 + 1\/42*i**4 + 0*i**3 + 0 - 3\/70*i**5. Let q(s) be the first derivative of j(s). Factor q(a).\nAnswer: -2*a*(9*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -49779.\nAnswer: -4\/49779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 9*v + 12. Suppose 3*c = -y + 4, 2*c = 7*y - 3*y + 12. Suppose c*d + 9 = d. Let q be u(d). Is q less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:02 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.75 in 2\/3, -0.2, -12, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151\/(-1)*(-23 + 16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11, 4, 178\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/39144 and -157\/27384.\nAnswer: 6380472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.8446 + 71.51. What is n rounded to two dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12434993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2670847864 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + o = -65, -2*o - 50 = -3*k - o. Calculate the highest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 - 3.8. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((88\/32)\/11)\/((-3)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 258\/((-1548)\/(-18)) + 0 + (0 - -17). Suppose 5*u - 25 = -5*a, 0 = -u + 4*u - 2*a - 15. Solve -s + u*f = -3*s - o, -3*s = -4*f + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 27*q**3 + 7*q - 4*q**3 + 0*q**3 - 1 to w + s*q + k*q**3 + y*q**2 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 6. Let i be w(-3). Let o be 0 - (-324 + i + 0). Suppose -n + 117 = q, 3*n = 4*q - q - o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/5 - 163*l**2\/10 + 344*l - 480 = 0.\nAnswer: 3\/2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3*n - n + 3*n)*(6*n + 14*n - 2*n) + (1 - 7 + 4)*(-n**2 + 2 - 2).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-1260)*-35*(-12)\/63\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-12994\nAnswer: 25988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 - 461140*z**3\/7 + 13833000*z**2\/7 - 138326000*z\/7 + 461080000\/7.\nAnswer: 2*(z - 230540)*(z - 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/5, -32, 0.19, 5, -1\/4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/13)\/o)\/o)\/(o*o**(2\/15)\/o) assuming o is positive.\nAnswer: o**(-461\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/((-189)\/56 - -3). Let w(j) be the second derivative of 2\/3*j**3 + 0 + q*j + 0*j**2. Let r(d) = -3*d. Calculate w(r(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/15 and -107\/1194840.\nAnswer: 1194840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 11. Let r = 2.059 - 0.003. Let x = 0.056 - r. Which is the third biggest value? (a) x (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037525 a multiple of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -495*p**3 - 403*p.\nAnswer: -2970*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2 and (-206)\/164*-4 + 32\/(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + (sqrt(7) - 5*(2 + sqrt(7) + sqrt(7))) + -5) + 3 - (-5 + -2*(sqrt(567) + -1))*-1)**2.\nAnswer: 5400*sqrt(7) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**3 - 15604*r**2 + 5537280*r - 294845328.\nAnswer: 4*(r - 618)**2*(3*r - 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/2 - 19*f**4\/2 + 103*f**3\/2 - 165*f**2\/2 = 0. What is f?\nAnswer: 0, 3, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and ((-1)\/7 - -1)\/(5\/210).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79a (base 12) to base 16\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 - 15504*h**3 - 701730*h**2 - 10546200*h - 52781625 = 0?\nAnswer: -15, 5213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -46*o**2 + 4*o + 40. Let l(r) = 128*r**2 - 11*r - 110. Let g(w) = -11*f(w) - 4*l(w). Let z = 0 + 2. Let d(i) = 3*i - i**z - 3*i. What is d(g(b))?\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*n + 5*n + 18*n)*(-5 + 5 + n**2) + n**3 + n - n to z + p*n**2 + v*n + j*n**3 and give j.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 1 + 0*a**2 + 0*a + 0*a**6 + 0*a**5 - 3\/7*a**7 + 0*a**4 - 2\/3*a**3. What is the third derivative of y(p) wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2. Let o(j) be the second derivative of -9*j**4\/4 - 30*j. Calculate o(w(x)).\nAnswer: -432*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(7*i - 11*i + 26*i) + (2 + 0 + 0)*(-2*i + 0*i + i) in the form k + b*i and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.14*-2399\nAnswer: 5133.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-612)\/(-272))\/((-759)\/88)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 253\/2*q**2 + 5\/2*q**4 + 61*q**3 - 66 - 124*q = 0.\nAnswer: -22, -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -10. Let h = -19.4 - y. Let k = -301 - -2103\/7. Which is the biggest value? (a) k (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17\/7 of a week?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 397563880 divided by -5740\nAnswer: -69262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62.1 + -62. Let s = -49\/68 - -8\/17. Put u, s, -1, -2 in ascending order.\nAnswer: -2, -1, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:18 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from qqwqwwqpwqqqqwp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4196*q = -4186*q + 1265100. What is q rounded to the nearest one thousand?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -147\/1234, -3, 1, -2\/7, -0.5, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30963 = 4*c - 98743. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -60, -21, 56, 183, 372, 635, 984?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*f**4*y**3 + 836*f**3*y**2 + 1106*f*y**3 - f*y**2 - 5*f*y wrt f?\nAnswer: 504*f**2*y**3 + 5016*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((0 - 1)\/(3 - 4)). Suppose 15 + 31 = x*o. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 25*r = -96. What is the hundreds digit of (r\/(-1))\/((81\/(-2412))\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Suppose y*c = 3*p + 17, p = 3*c + 2*p - 16. Let z(h) be the second derivative of -h**5\/20 + h**4\/3 + 7*h**3\/6 - 3*h**2 + h. What is z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2649 = -65*j - 2454. Solve 4462 = j*k + 4483 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38644, -154551, -347722, -618151, -965832, -1390759, -1892926?\n\"Answer: v**3 - 38638*v**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -51*f - 860. Give w(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (381\/60)\/(6\/5) and (-2 + 1449\/720)*(-1220)\/(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f - 2 - 32*f + 2 to h*f + g and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 9 - 24. Solve 4*z = g - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + 0 + sqrt(80) + 0 + sqrt(80) + 0)**2 - (-2*-2*(-1 + sqrt(80)) + 5)**2.\nAnswer: 160*sqrt(5) + 663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x - 15 = -22*x. Find the common denominator of -1\/7 and x\/((-7735)\/(-7446)) + (-3)\/(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1822102 greater than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 14 = 56*j. Let k(y) = 84*y + 93. What is the units digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119861, 119878, 119929, 120032, 120205, 120466, 120833, 121324?\n\"Answer: 3*n**3 - n**2 - n + 119860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.041731 and -180085.\nAnswer: -180085.041731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 0 - 1501\/(-237) - (-132)\/9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -191417782698.89 and -1?\nAnswer: 191417782697.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4622 - -4627. Which is the fourth smallest value? (a) 0.3 (b) j (c) 8.7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34210 is divided by 15020?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from onmffvmvmomomrf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(-3\/2))\/r)\/r*r**4\/r*(r*r*r**(-2\/7))**13*((r**(1\/5))**(-26\/3))**(-4) assuming r is positive.\nAnswer: r**(7081\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, l: 2}. What is prob of sequence lh?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66165 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/9, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 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: What is the greatest common divisor of 8864 and 488074?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/5, -3, -8, 29\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231193322?\nAnswer: 2, 761, 151901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (590\/210 - 2))\/((-26)\/(-234)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 0.1, -1, 8\/9, 2\/9, -0.722?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 + 0.1. Let o = -19097 - -19095. Which is the nearest to 1? (a) o (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15200 = -176*j - 212*j + 84*j for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3058\/15 - 204. What is the closest to 6 in 14, 1\/8, f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 + 1998*f**3 - 1311704*f**2 = 0. Calculate f.\nAnswer: -1451, 0, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 1\/5 (c) -8378 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.7 and -20656802714.122.\nAnswer: -20656802715.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 349121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - 0) - (304 + -296)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2. Let m be n(-2). Let b(q) = -q + 6. Let y be b(4). Let x be 5*(-1 - m\/y). Which is greater: 6 or x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-15)\/(-30))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 7, 0 = 2*w - 2*p + 2. Let o = 15 - w. Let q = o + -7. What is the lowest common multiple of q and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(40) + sqrt(240)\/sqrt(6)*2)\/(sqrt(18)*3 - sqrt(1250)) + 0 + 5.\nAnswer: -sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -478671791890\/117 - -4091264208. Let z = 52312 - q. Find the common denominator of z and -44.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10501 (base 9) to base 15.\nAnswer: 20e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 32. What is the nearest to p in 3\/4, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1706861?\nAnswer: 1706866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/17 + 462*f\/17 + 464\/17.\nAnswer: -2*(f - 232)*(f + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2. Let h(c) be the second derivative of -c**3\/2 - 13*c. Calculate t(h(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3321, -6742, -10265, -13890?\nAnswer: -17617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3392060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 200?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmcmcmccmmmccccmmxcm. What is prob of picking 1 c and 3 m?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 65*l**2 + 43*l - 336. What is q(33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.627239 weeks in nanoseconds?\nAnswer: 4008154147200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 1. Let g be j(1). Calculate the common denominator of -29\/3 and ((-53)\/3)\/((-5)\/g).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*p - 76 = -47*p - 60*p. Suppose -3\/7*h**p + 81\/7 + 12\/7*h**3 + 18\/7*h**2 - 108\/7*h = 0. What is h?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*v**3 - 3*v**3 - 2*v**3 + (-v**2 - v**3 + v**2)*(-3 - 3 + 5) + (-1 - 1 - 1)*(0 + 7*v**3 + 0).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgggggggssgg. What is prob of sequence gg?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02516 and -170.\nAnswer: 4.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -3116?\nAnswer: -1869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.75 - 1.6. Let y = n + -4.15. Which is the smallest value? (a) 2\/7 (b) 0 (c) y (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bebd when four letters picked without replacement from bbsekdkbbssbkbbbhb?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/7787 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -3 (c) 568\/8149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 1.5. What is the second smallest value in -0.1, c, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 - -5. Let m = -0.01 - -0.31. Which is the second biggest value? (a) m (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let g be 56\/10*(-2 + -3). Let u be (9\/g)\/((-30)\/35). What is the second smallest value in s, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4 - 4)*((2 - 2 + m)*(-267 + 89 + 134) - 6*m + 7*m - 50*m).\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60182 is divided by 20060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (134\/(-9380)*4)\/(18\/147)?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a century in months?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.061ml in litres?\nAnswer: 0.209061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2*c**2 - 2. Let n(i) be the second derivative of i**3\/2 - 301*i. Give n(l(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1196, 1640, 2374, 3392, 4688?\n\"Answer: -o**3 + 151*o**2 - 2*o + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from mqmqqjjfmqqqmmqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121706 is divided by 41602.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/113405 and 67\/597675.\nAnswer: 22113975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-2))\/((-20188)\/(-5040) + -4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624.03768 minutes to days.\nAnswer: 0.4333595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.382954 centuries in decades?\nAnswer: 73.82954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/5 + 642*j**3\/5 + 31947*j**2\/5 - 948*j\/5 - 5760576\/5 = 0?\nAnswer: -137, -73, -16, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -179*b**3 - 1790*b**2 - 6*b - 65. Calculate v(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - c + 50. Is j(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, 0.07, -2\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 36*k + 2. Let i be q(1). Let w = -32 + i. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 0*z**2 + 5*z - 5*z - z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23060 not equal to -23079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-15) + (-823)\/(-5). Does 11 divide 7\/21 - n\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, 2\/35, 0.0955, -2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 + -134.8. Which is bigger: z or -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 74. Which is smaller: 154 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) -1 (c) 162 (d) 1.1 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30214 divided by 523\nAnswer: 30214\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/60 + q**4\/2 + q**3\/3 + 11*q**2. Let n(p) = 31*p - 21. What is the least common multiple of c(10) and n(1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6500864024.\nAnswer: 2, 59, 89, 154753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36))\/(475\/(-50) - (-27)\/(-9)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270887.6 + -8?\nAnswer: -270895.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -1, -14, -47, -106?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802*p**2 + 793*p**2 - 1642*p**2 + 2)*(20*p + 17*p + 0*p + (-6 + 2 + 2)*(0*p + 0*p - p)).\nAnswer: -1833*p**3 + 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -17*f**4 + 15*f**2 - 7*f. Let a(c) = -8*c**4 + 8*c**2 - 3*c. Let u(k) = 7*a(k) - 3*g(k). Find the third derivative of u(v) wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23524460.\nAnswer: 2, 5, 1176223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 604715.6 years in months?\nAnswer: 7256587.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)**(-40))**(1\/17)\/(x**7\/(x*x**(3\/8)\/x))**(-26) assuming x is positive.\nAnswer: x**(11553\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 6. Let x(r) = 22*r + 3 + 6 - 49*r + 29*r. Let s(l) = -8*u(l) + 5*x(l). Give s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1736 + 1743 - 152646*s + 152450*s.\nAnswer: -196*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - (9 - 29 - -56)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - -52?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 578 or 999?\nAnswer: 999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(-4 + sqrt(5)))**2.\nAnswer: -8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2064 and 92\/1935.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -373832, -373816, -373788, -373748, -373696, -373632, -373556?\n\"Answer: 6*a**2 - 2*a - 373836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h + 0*h)*(-h + 9*h**3 - 29*h**3 + 7*h**3).\nAnswer: -13*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 8\/5, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6258 = -3*o - 3*n, 3164 = -5*o + n + 13588. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1179741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 45. Let p(f) = 2*f - 44. Calculate 7*c(s) + 6*p(s).\nAnswer: -2*s + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or -19\/27131?\nAnswer: -19\/27131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzxhxhhhhhhxzxhxz. What is prob of picking 3 h?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 12*w - 5. Let j be i(-6). Let o be 12 - (3*4\/3 + j). Find the third derivative of -2*k**2 + 12*k**2 + 6*k**2 + o*k**3 + 13*k**2 wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 20*o - 47. What is i(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 32. Let r be 175 - (3 + -1 + u). Suppose 3*a - r = -2*q + 236, -q + a + 216 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-942)\/(-15))\/(2\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j**2 - 4*j - 3. Let g be u(-5). Let i(z) = -2*z + 7. What are the prime factors of i(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + l + 6. Let b be x(0). Suppose -4*v = 8*u - 3*u + 8, -3*v = 4*u + b. Let q be 91\/39 - 6\/(-9). Solve u*z + 2*k - 1 = -z, q*k + 6 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -20, 5 in ascending order.\nAnswer: -20, -14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + -10 - -10 - (-3 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4\/6 + 2287*k**3\/3 - 860915*k**2\/6 + 86000*k\/3 = 0 for k.\nAnswer: -1075, 0, 1\/5, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1089)\/(-12) + (-10)\/(-40). Suppose -t = -2*s + 100, i = 4*s + 2*t - 93. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7567 + -7563. Let c(j) be the first derivative of -1\/6*j**x + 22 + 2\/15*j**5 - j**2 + 0*j - 10\/9*j**3. Factor c(w).\nAnswer: 2*w*(w - 3)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*s**2 - 266*s**2 - 278*s**2 - 281*s**2 + 1567*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*n - 197*n - 86*n = 166*n + 7524 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/6 - 21*d**2\/2 + 2401*d\/6 + 2581\/2 = 0?\nAnswer: -89, -3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -41 - (9 + -80)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6277086 decades?\nAnswer: 6.277086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)\/((a\/a**(-4\/3))\/a)*(a**(1\/7)\/a)\/(a**(-1\/4)\/a) assuming a is positive.\nAnswer: a**(5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -251 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001936 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 718923?\nAnswer: 5032461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38406 and 14?\nAnswer: 268842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -191. Let w = 107 - j. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001044 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 28. Let h be (-270)\/(-42) + (-4)\/v. Factor -40*j + h + 1 - 2*j**2 + 18*j + 16*j.\nAnswer: -2*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**4\/4 + 7*h**3\/3 + 2*h**2 - h + 3. Let z be j(7). Is (-2)\/((-6)\/z*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 131874\/13 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 17302*c**2\/5 - 4604000*c - 13490000000.\nAnswer: -2*(c - 5000)**2*(c + 1349)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1173113756*x**2 + 29*x - 1173113756*x**2 - 2*x**3 - 29*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*d - 7615 = -212*d + 9665. Solve -30*v - 144 = -d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74622 times 0.215?\nAnswer: 0.5904373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3448562.\nAnswer: 2\/1724281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5274\/4*20\/6. Let b = -44023\/10 + a. Find the common denominator of -7\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y. Let n(z) = -11173936*z**2. Determine n(f(p)).\nAnswer: -178782976*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 2, y: 7}. What is prob of sequence yyzl?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1269 (base 13) to base 2.\nAnswer: -101000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 16*x + 43*x + 24 - 46.\nAnswer: 27*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 - -87. Let l = u - -73.9. Which is the closest to -1.4? (a) -4 (b) l (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -891 - -890. Put -18, f, 0 in ascending order.\nAnswer: -18, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520793749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 + -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:44 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 3. Let n(j) = -j - 1. Let b(k) = 4*f(k) + 18*n(k). What is b(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - l = -167, 8*y = 4*y + l + 232. Find the first derivative of 31 - 261*z - 2 + y*z + 72*z wrt z.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1287, 1286, 1283, 1278?\n\"Answer: -s**2 + 2*s + 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11932 + 0)\/4)\/10. Let c = l + 298. Is c < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 2*v**2 - 8*v + 5. Let u be c(-4). Solve t - 5*h + 28 = 0, -2*h = -t - u*h + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003529 to 6 dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/6)*k)\/k**(6\/5)*(((k*k\/k**(2\/3)*k)\/k)\/k)**5 assuming k is positive.\nAnswer: k**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = o + 4 - 5, 2*k = 2*o - 8. Let p be (k\/2)\/((-15)\/90). What is the third derivative of 3*d**5 + 9*d**2 + 3*d**5 - 6*d**5 + p*d**6 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1045, 0.\nAnswer: 0, 11, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:04 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830571.\nAnswer: 3, 7, 39551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303039*d**3 - 7*d**2*n + 4*d*n + 3*d - 9*n + 738 wrt d.\nAnswer: 1818234*d - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 117435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*j - 468*j - 2176 = -164*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*n - 103, n + n + 45 = q. Let k = 44 + -31. What is the remainder when q is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -dd?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 13*c - 12*c - 17, 2*c - 7 = -3*b. Let v = 8 + -4. Solve c*k = v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 22*s**2 + 2864*s + 69872. Determine l(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 12) to base 13\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.046 or -314?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 14*i + 645. Does 9 divide 3 - (0 - -1) - i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2097*v + 2091*v - 52, -27*v + 3*h + 165 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 12*i**2 - 15*i + 30. Let p be o(13). Suppose 3 + 5 = 4*n - 2*b, p*n = -2*b. Solve -n = -5*u - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1346*q**2 - 644*q - 245*q**2 - 309*q**2 wrt q?\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 352, 15?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0 = -2*w - 3, 2*w - 37 = -3*v. Suppose 4*g + 2*d = -0*g - 12, g - 4*d = 6. Let p be 29690\/(-55) + g\/w. Round p to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 - 17)*(-198 + 0*h - 2*h + 195) to u + z*h and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:46 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 + 91*w**3 + 246*w**2?\nAnswer: -60*w**2 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124752690 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 590.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 - 0.3. What is the second smallest value in 0.3, m, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s**(-1)\/s))\/((s**0*s)\/s**(3\/7)) assuming s is positive.\nAnswer: s**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 4*b - 18, -7*b = 3*y - 10*b + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2. Let u(t) = t**3 - 13*t**2 + 12*t + 14. Let x be u(12). Let c(m) = 8*m - 23*m + 6 + x*m. Calculate 2*c(j) - 7*k(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((4 - 4 - 1) + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.14 take away 0?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-308)\/147))\/((513\/76)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d\/((d\/(d**16\/d))\/d)))**21)**(-21))**(-2) assuming d is positive.\nAnswer: d**(-12348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32835531 >= -32835533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15771.7923817+3\nAnswer: 15774.7923817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1967327 is divided by 13950?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406011 (base 11) to base 16.\nAnswer: -9f3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20*0.163557\nAnswer: -3.27114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 9. Suppose g*o - 20 = 2*o. Suppose -2*k - 63 = -o*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -190 + 7*g**2 + 383 - 189 - g - 3*g**2 as l*g**2 + h + f*g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, -1, -2\/19, -291, 4 in decreasing order.\nAnswer: 4, -2\/19, -1, -1.8, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpr when three letters picked without replacement from {b: 1, s: 1, r: 2, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(720) + 0 + sqrt(720) + -1 + (-1 + (sqrt(720)*-1 - sqrt(720)) - (sqrt(720) + sqrt(720)*-2*-1)))**2.\nAnswer: -720*sqrt(5) + 32420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238891*n**2 - 238896*n**2 - 238896*n**2 - 238899*n**2 + 955584*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7402, -14783, -22152, -29509, -36854?\nAnswer: -44187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288132833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -4, -1, 2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - 4*a)*(117*a + 37786 - 37786).\nAnswer: -234*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -17 (c) -4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5225772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-15) + 3)\/(4\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10 + 0*u + 6*u - 5 - u**2. Let k be t(6). Solve -k*o + 0*o - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82679\/8 - -10335. Which is the fourth smallest value? (a) 0 (b) 7 (c) -0.1 (d) 1 (e) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544103 is divided by 11110.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:41 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l. Let z(g) = 32*g. What is y(z(n))?\nAnswer: -448*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/133 - (-63)\/(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1335 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*r - 14 = 11, r = 4*q - 10. Let d = -1 + q. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m + 101*m**2 - 17*m + 1002*m**2 as s + u*m + f*m**2 and give f.\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 612 - 612.04. Sort y, 1, 67 in ascending order.\nAnswer: y, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = 2*u - 14076. List the prime factors of u.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 4 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 - 61. Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**2\/2 - y - 4. Let q = 4 - 6. What is l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**10\/m)\/(m**(-5\/3)\/m))\/(m\/(m\/m**2)*m)**25 assuming m is positive.\nAnswer: m**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -10. Suppose -m - 12 = -x. Let h(y) = y**2 - 2*y + 2. Let f(q) = -q**3 - q + 1. Give m*h(o) - 2*f(o).\nAnswer: 2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/6*(1 - -4) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.8, -1, 4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15750.963 months in millennia?\nAnswer: 1.31258025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1172\/3, 2, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2888 is divided by 2849?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2144)\/(-24) + 2\/(-6). Let a = r + -23. Let i = -9 + a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Calculate the highest common factor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-19)\/t))\/t)\/t)**(-45) assuming t is positive.\nAnswer: t**(-855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4892427 equal to -4892426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**2 - 4 + 2 - 9*b + 4. Let f(a) = a + 6*a + 6*a + 8*a - 26*a + 4 + 6*a. Determine -9*f(d) - 4*i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 - -126. Put 2, -4, q in descending order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 87*f**2 + 752*f + 960.\nAnswer: -(f - 24)*(f + 5)*(5*f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -393390 divided by 2115\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1031564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 - -2?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 - 3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 0 - -7)\/((-195)\/20 + 3).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/12 + d**2. Let a(l) = 14*l**2 - l. Let p(z) = -z**2 - z. Let q(w) = a(w) - 2*p(w). Calculate q(g(f)).\nAnswer: 64*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13319, 13382, 13489, 13640, 13835, 14074, 14357?\n\"Answer: 22*m**2 - 3*m + 13300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1049*u - 1053*u - 5 = 0, 0 = -4*y + 4*u + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121000002222 + 2000?\nAnswer: 22121000011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -646497696 divided by -58?\nAnswer: 11146512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/15)\/(8\/(-91999980)). Suppose 0 = 4*f - 3*h - u, -3*h - h = -2*f + 13799992. Round f to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -2*t**7\/7 + 205*t**6\/6 - 298*t**3\/3 - 110. Find the third derivative of v(s) wrt s.\nAnswer: -240*s**3 + 12300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*t - 358949 + 24781, 5*t = x - 83542. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*z = 257*z + 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-12)*(4 + -1). Let l be (k\/2 - -2)*14. Suppose 0*m + 5*m - l = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:03 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82414 is divided by 1585.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 564. Suppose -3*b = 2*k - j + 90, 70 = k - 5*b. What is the highest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1211413 at least as big as -1211314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 60*y**2 - 136*y + 431. What is i(62)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6976407 to the power of 1\/2, to the nearest integer?\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(24\/9)*-2. Let s(v) = -2*v. Let j(g) = -6*g - 5. Let l(o) = -1. Let w(z) = -j(z) + 5*l(z). What is u*w(q) + 8*s(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)*q\/((q*q*q\/(q\/((q**(-1\/8)\/q*q)\/q))*q)\/q)*(q**2)**(-2\/87) assuming q is positive.\nAnswer: q**(629\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*w + 3*a, 0*a = -2*w + a + 12. Suppose -577 = -w*u + 478. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 138 = -27*a + 5*r, -13278*a + 13281*a - 74 = -5*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -142654.75 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 2*l**2 - 6*l + 2. Let z be x(4). Suppose z = -p + 92. Let n be 15\/(-5) - p\/(-26). What is the third biggest value in -0.3, -1\/10, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-1*(-3 - -4). Let w(t) = -12*t + 1. Calculate w(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - (86 + -92 - -7).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62009 take away -2.4983191?\nAnswer: -62006.5016809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 12. What is the units digit of k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1540588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-14)\/84*(-28 + 49)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3815?\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrprhararrrorff. What is prob of sequence ho?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 100 = -130 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, e: 5, r: 1, s: 1, b: 2}. Give prob of picking 1 b and 1 r.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 57390547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.3 + -19. What is the third smallest value in 0.4, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.6886234 rounded to 3 dps?\nAnswer: 71.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*p - 20. Let f be (1 - p\/6)*27. Calculate the highest common factor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 29. Suppose 0 = -n - 3*n - a + 18, -2*n = -m*a - 20. Factor -426 + 3*g**n + 3*g**3 - 6*g**4 + 426.\nAnswer: 3*g**3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(320))**2 + ((sqrt(320)*2 + sqrt(320))*6)**2)*-3*-3.\nAnswer: 944640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/12)\/((-4)\/(-16)). Suppose j + p*b = 9 + 16, -3*b = 12. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1546659 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 2177*f**2 + 53*f**2 - 2231*f**2.\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68\/39 + 11\/26. What is the common denominator of (-1 + 18\/16)\/(15\/1290) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 5*x + 14817000. Round x to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1728)\/80)\/27)\/((-22)\/(-5)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from dddccccqc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 626650 and 2490?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(567)\/sqrt(9)*-5 + 2)**2 + (2*sqrt(7) + 5 - sqrt(77)\/(-1*sqrt(11)) - 1*(sqrt(7) + (1 + sqrt(7))*-3))**2.\nAnswer: -9235 + 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*d + 53 + 1 + 5 - 17.\nAnswer: -154*d + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/352*(-65411)\/484. Let n = -262812617\/1331 - -197455. Let m = y - n. Calculate the common denominator of m and 91\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*p + 5*p - 2*p)*(1 - 2 + 2) + p - 3 + 3)*(9*p + 2 - 19*p + 11*p) as l*p**2 + x*p + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/11 + 114*z**4\/11 - 1754*z**3\/11 + 4494*z**2\/11 - 2852*z\/11 = 0.\nAnswer: 0, 1, 2, 23, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 24 = -o, 4*o - z - 13 = 2*o. Let l(a) = 7*a - 9. Does 19 divide l(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 8 = 27. Suppose s*f + o - 25 = 0, 25 = -f + 6*f - 5*o. Let u(d) = -d - f*d + 7*d + d. Let z(j) = 10*j. What is z(u(b))?\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 - 218. Let t be 2 + (1 - 1)\/(-5). Suppose 2*n + 2*l + 3*l = 166, -364 = -4*n - t*l. Calculate the remainder when n is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -221*w + 218*w + 33. Suppose y + 3*n = -w, 0 = -y + 11*n - 7*n + 24. What is the remainder when 7 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 6, 4*n - n + 11852*h - 11849*h = -13 - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 - 7*s + 45. Let g be a(-11). Is (5 + (-11088)\/30)\/(g\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.29 + -0.19. Let u be (1\/2)\/1*10. Let y = -3 + u. What is the closest to m in 5, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599436.\nAnswer: 2, 3, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -105. Let c = 117 + k. What is the highest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - m**2 - 116.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*((-12)\/(-36))\/(-1))\/((-4)\/(-1))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7 + 4\/7*f + 1\/7*f**2 - 4\/7*f**3 = 0. What is f?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388808529.\nAnswer: 3, 129602843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1472)\/(-48) + (-2)\/3 + 0. Which is greater: n or 29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 25. Let g = 2 + c. Let f(d) = 8*d + 1. Calculate f(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59848 and 102010916.\nAnswer: 204021832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4 + 0*m - 3*m + 4*m. Suppose 2*j + j - v = -1, -4*v = 4*j + 12. Let f be 0*(-2 + (j - -2)). Determine t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22680 and 112305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**3 - 7\/60*a**4 + a - 35*a**2 + 0 - 1\/300*a**5. Factor q(o).\nAnswer: -o*(o + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w - 2*v + 77 = 0, -2*w = -4*v - 46. Let k be (-662)\/18 - (-6)\/(-27). Let p = k + 45. Calculate the remainder when w is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 u when three letters picked without replacement from brxruovovvrvrxouorr.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 227. Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 15*a - 63. Let l(p) = 13*p - 62. Let b(f) = -2*h(f) + 3*l(f). Differentiate b(x) with respect to x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/20 + 11*w**4\/12 - 3*w**3\/2 - 5*w**2\/2 - 4*w. Let g be x(10). Suppose -g*t + 111 = -634. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3612*y**4 - 151*y**2 + 229589*y?\nAnswer: -43344*y**2 - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**2 + 14*d**2 - 34*d**2 + 11*d**2. Let u(x) = -9*x**2. Give 4*u(y) + 11*w(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from meoooeoeoeeeojeo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qfcfqfufvcvufo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/183 and 92\/2985.\nAnswer: 182085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**1*u*u)**(-37)*u**(-7)\/(u*(u**(-5)*u)\/u*u) assuming u is positive.\nAnswer: u**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5909\/14 + 422. What is the third biggest value in -1\/8, q, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -0.6, 1\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a73 - -2?\nAnswer: a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (100 - 81) + (1 - (-652)\/(-28)) + (-18)\/(-2)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (5\/(-25))\/(1\/(-5)) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5 + 11 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**7\/70 - g**4\/24 - 3*g**2\/2 + 3*g. Let n(w) be the first derivative of z(w). What is the second derivative of n(a) wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5737*y**2 + 113*y - 20?\nAnswer: -11474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149936 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -45358 divided by 1?\nAnswer: -45358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2992 - 0.2992. Which is the nearest to 0.1? (a) -2 (b) -11\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 6. Let o be c(-5). Suppose o*v + 24 = 5*w, -36 = -2*w - 2*w - v. Solve w = 3*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let v(b) = -b**3 - 9*b**2 + 3*b + 10. Let w be v(-10). Let y(d) = -w*d**2 + 14*d**2 + 6*d**2. Determine y(x(c)).\nAnswer: -240*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2150686418 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + w - 3*w)*((-5 + 4 + 0)*(0 - 4 + 2) + 1 - 7 + 2) in the form n + s*w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1007288?\nAnswer: -3\/1007288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) 28 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -1. Let p = 0.1 - 0.1. Let k = 0.4 - p. Which is the third biggest value? (a) -2 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from {y: 3, t: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 332286509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 11) in base 6?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -7*l - 126. Let x be (-20)\/(-30) - l\/(-3). Suppose x*y - 481 = -2*p, p - 4*y - 156 - 112 = 0. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngyneg. Give prob of picking 1 g and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9942 - 0.0058. Let x = 1\/194 + 677\/388. Let h = x + -57\/28. What is the closest to h in -0.3, p, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195402723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49947280 is divided by 21792.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)*(7 - 5). Let f = -1790\/284309 - -8\/709. Let z = f + 780\/4411. What is the nearest to -0.1 in 1, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 + 3*c - 15. Let o be g(7). Suppose 0*k - 5*k = -u + o, 22 = -2*k + 4*u. Does k = -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 35*k**2 + 2*k. Let r(h) = -99*h**2 + 17854636*h - 17854643*h - 6*h**2. Give 7*o(c) + 2*r(c).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 40 = -i. Let t(g) = g**2 - 9*g + 8. Let h be t(i). Let w = 28 - h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15805 - -27934. Suppose -12*g - s = -25*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-78) + 5\/9. Which is the second smallest value? (a) f (b) -5 (c) 0.01 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (103 - 1)\/((-25)\/10 - -1). What are the prime factors of 11\/(((-36)\/z)\/9)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v + u - 40, -3*v = 2*u - 25. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*j - 4*j**2 - 114*j - 116608 + 117168 - 23*j.\nAnswer: -4*(j - 4)*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/27 + (-116)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.029, 488\/3, 0, -34\/5 in descending order.\nAnswer: 488\/3, 0, -0.029, -0.5, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47139 is divided by 2475.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1779*z + 2 - 2 + 243*z**2 - 1781*z - 1080*z**2 to h*z**2 + t*z + k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/3 - -1) + -2. Solve 4 + q = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -44*h - 179 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*30\/4. Suppose -3*u + 22 + q = 3*x, -5*x = -4*u. Let b = -2 - -7. Put b, -0.2, x in decreasing order.\nAnswer: b, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*o + 4, -i - 4*o = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**5\/420 - b**4\/42 + 2*b**3\/21 - 3*b**2\/2 + 5. Let n(o) be the second derivative of w(o). Let n(q) = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + 18 + -268 + 151?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 16 - (16 - 6 - 13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-51)\/(-102))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1\/3, 0.22, 8?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.29 (b) 0.186 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (102\/(-15))\/((-6)\/15). Let i(k) = k + 6. Let y be i(-8). Let z be ((-476)\/y)\/((-4 - -4) + 2). What is the greatest common factor of c and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-20))\/((-5)\/450). Let d = z + 32. Let v = -7 - -4. What is the smallest value in d, v, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -162*d + 2 + 2 + 163*d. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 9*v + 4. Let c be -6*1 + 1\/(-1). Let o be i(c). Suppose -q + 5*q = o. Calculate the remainder when 43 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**6 - 51*c**5\/5 + 33*c**4\/4 + 17*c**3 - 27*c**2\/2 + 342. Determine q, given that p(q) = 0.\nAnswer: -9, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*v - 327*v + 3 + 159*v)*(57 - 15 + 22).\nAnswer: -384*v + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = 18. Let r = 10 - -3. Calculate the remainder when 84*((-15)\/4)\/p is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -3. Let i be (-2)\/(-7) - (-99)\/s. What is the second derivative of 2*m**5 - 2*m**5 - 2*m**5 + m - 3*m**i wrt m?\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 24 = -g. Let r = -17 + g. Let o be r\/(-8) - 4\/16. Let a(k) = -k**2 - 2. Calculate a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 8)*(0*w + 0*w - 2*w)*(2*w - w + 0*w)*(0 + 8*w + 0).\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -168, -370, -652, -1014?\nAnswer: -1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-70)\/(-7)))\/((-76)\/4)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30304 (base 5) to base 6.\nAnswer: 13014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53791527?\nAnswer: 3, 19, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13975*k**2*n**4 + k**2*n + 1224*k*n**2 wrt n.\nAnswer: -335400*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2486 - 2484. Let p be 3\/(-15) - (-14)\/(-30). What is the second smallest value in -10, -2\/17, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 15287*j + 5457461. Give d(-357).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.07 (c) 0.4 (d) -1\/10 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*112\/96 + 19126 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*3*sqrt(7)*-2 - ((1 + sqrt(21)\/sqrt(3))**2 - (-2*sqrt(70))\/sqrt(10))))*-6.\nAnswer: 48 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -531, -765?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -58*s - 2093. Give y(-34).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1756 + -1756.4. Let j = 5\/3 + -2. Which is the second biggest value? (a) j (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2266592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/300 - 7*u**5\/300 + u**4\/40 + 12*u**2. Factor c(n).\nAnswer: n*(n - 3)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 361 = x, 0 = -4*x - x + 15. Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0481 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 13. Let s(o) be the second derivative of 0 + 1\/15*o**6 - 1\/3*o**3 + 0*o**2 + 1\/10*o**5 - h*o - 1\/6*o**4. Find z, given that s(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4 - -5.4. Let a = -0.12 - -0.52. What is the nearest to -1 in a, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8166?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - 2*y**3 - 111 - 5*y**3 to the form h*y + l*y**2 + c + t*y**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6748 is divided by 564?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 11*g + 76*g**2 + 0*g**4 - 107\/10*g**5 - 11 + 0*g**3. What is the first derivative of z(u) wrt u?\nAnswer: -642*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 765492?\nAnswer: 8420412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/19 - 34\/(-323) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, o: 1, g: 2, d: 1, u: 2}. Give prob of sequence dn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2348659, 2\/13, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -65. What is the third biggest value in -6\/7, -2\/5, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-9\/4)\/m*m)\/m**6*(m**(-2\/13))**(-13\/5))**(-8\/9) assuming m is positive.\nAnswer: m**(314\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111358 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-12)\/(-12)*(-2)\/(-13)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146006121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x. Let p(i) = 3*i. Suppose o - 2*m + 11 = 0, 5*m - 38 + 8 = 3*o. Calculate o*c(n) - 16*p(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = p + 5, 3*x - 1 = -3*p + 2*x. Suppose 0 = 5*n + 4*u - 120, p = -n + 4*u + 10 + 14. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-12 + 9) - (-35)\/7. Let f(p) = -119*p**2 - 2*p. Let w(h) = -40*h**2 - h. Determine u*w(c) - 3*f(c).\nAnswer: 37*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 52*r + 57*r + 10, -3*w - 34 = 5*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-26 - -25) - 47 - 22\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1004814 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/12 - (-10 + 13). Let c(d) be the second derivative of u*d**3 - 5\/2*d**2 + 0 + 5*d. Let n(w) = 9*w - 21. Determine 21*c(z) - 5*n(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 7*x - 18.\nAnswer: (x - 9)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 240520?\nAnswer: 240513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**41\/((f\/f**(-6)*f)\/f**(-9)))\/((f\/(f\/(((((f**14*f)\/f)\/f)\/f*f)\/f)*f))\/(f*f**5\/f))**(2\/31) assuming f is positive.\nAnswer: f**(193\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 323446337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*b = 219 - 203, 4*y + 48 = 6*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3166 - (8 - 8))\/(-2)?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l + 3*j - 235, -2*l + 5*j = 113. Let x = l + 49. Suppose 2*v - d - 55 = 0, x*v - 2*d - 108 = 31. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-41 + -20 + 27) - -79 - 4?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583a (base 12) to base 5.\nAnswer: 303323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*p*t*u + 25582*p*t + 16*p*u + 2*t*u - 42*t - 685*u with respect to u.\nAnswer: 18*p*t + 16*p + 2*t - 685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8*o - 85 = -2*q + 13*o, 23*q - 28*o + 68 = -32*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 2 - 3*d**3 + 3*d**3 + 2*d + 0 - 5*d**3 in the form j*d + g*d**2 + x + u*d**3 + y*d**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 23. Suppose -2*p = n - 13. Solve -2*v = 0, 10 = -3*i + p*v - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 349*k**6\/30 - 115*k**2\/2 - 49*k + 5. What is the derivative of y(j) wrt j?\nAnswer: 1396*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/3)\/u*u*u**(4\/3))**(-23) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8233 - 8210. Put b, -8, 2, -1 in decreasing order.\nAnswer: b, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -267?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2015 divide 1558662950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 17*r**2 - 40*r + 441. Let n be f(9). Solve n = -73*t + 145 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = 5*l, 5 = 3*l + 4*w - 5. Let i(k) be the second derivative of -5*k**3\/6 - k**2\/2 + 4*k. What is the units digit of i(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.69955 - 4.7. What is d rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d*w**4 - 1634*d*w**2 + 3*d*w + 6*d - w**3 - 15*w - 10 wrt w?\nAnswer: -36*d*w**2 - 3268*d - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p. Let m(z) = 0*z**2 + 3*z**2 - z**2 - 4*z**2. Calculate m(b(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by -2468\nAnswer: -303\/2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 5*s - 2*s - 3*s**3 - 5.\nAnswer: -3*s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.3. Suppose 13*w = -7*w - 60. What is the nearest to 1 in w, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1727 - -2449. Let i = -657.6 + t. Let n = i + -38. What is n rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3573 divided by 6\nAnswer: 1191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*h - 14828 = -234*h - 336*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 i when three letters picked without replacement from lxdxdgi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 796\/24 - (17\/(-6) - -3). Let u = l + -15. Let q = 21 - u. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -39384*i - 433229. Calculate b(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:27 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*q + 109 = -164*q + 5*b, 0 = b - 5. Solve -66 = -q*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32799647\/5776830 - 1\/64187. Let d be (-520)\/12*(-4)\/(-30). Let r = b + d. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 5*p**7\/42 - 5*p**6\/3 + 7*p**5 - 10*p**4 + 5*p - 20. Factor o(m).\nAnswer: 5*m**2*(m - 6)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7062, 7180, 7326, 7500, 7702, 7932?\n\"Answer: 14*v**2 + 76*v + 6972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -25.5. Let l = b - -24.5. Let g = 0.2 + 0.3. Sort l, -3\/4, g in decreasing order.\nAnswer: g, l, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 12:49 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-1*sqrt(245) - sqrt(245))**2 + sqrt(245)) - (sqrt(495)*-1 - sqrt(495))\/(-2*sqrt(176)).\nAnswer: -5880 - 59*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 14 - 4)*(-2*y**3 + y**2 - y**2) - 5*y**2 + y**3 + 5*y**2.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*c - 7. Let m be 3 - 0\/c - 5. Let v = -8 - m. Which is greater: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 12*a + 3. Let w be u(12). Solve b + w*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-58 - (-138 - -222))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2121, -2122, -2123, -2124, -2125?\n\"Answer: -q - 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8395.34491 to the nearest one hundred.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*x + x**2 - 221*x + 16*x)*(-4*x + 13*x + 8*x).\nAnswer: 17*x**3 - 5219*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**5\/60 + y**4\/8 + 4*y**3 - 59. Let x(p) be the third derivative of k(p). Let s(j) = -1. Calculate 2*s(d) + x(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 + (3 - 4) - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/432327 and 89\/33908?\nAnswer: 1729308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 396 + -356. Calculate the lowest common multiple of 12 and ((-24)\/(-32))\/(1\/g).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/11522 and -29\/29628?\nAnswer: 207396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 138 = 3*z, -z - 1 = 0. Let h = f + 75. Which is the third smallest value? (a) h (b) 3 (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 17. Is 11\/33*(-3)\/h*1994 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*n = 32, -2*m + 2*n = -2 - 10. Suppose -20*w = -m*w - 18. Is (-1471)\/(-3) + w\/6*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1246?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-3))\/(-4)*((-960)\/50)\/(-32)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42349930.\nAnswer: 2, 5, 7, 223, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -136, -219, -314, -421?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*k**2 - 17 + 17.\nAnswer: 304*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6*10\/(-24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7543*m**3 - 148*m - 238*m + 533*m - 147*m + 7545*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 19 - 27. Let m be (3 - 3)\/(-2 - -2 - g). Let z = -33\/2 + 17. Are m and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + n + 8 + 14*n**2 - n**4 + n**4 + 0*n**4 - n**4 - 17*n**2 in the form t + i*n + g*n**3 + y*n**4 + h*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/24 - 14\/6. Let o be 1 + (-1 - (n - -7)) + 4. Let b(d) = d**2 + 2*d + 821. Is b(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:36 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130)*-1 + sqrt(130)) - sqrt(130))\/(sqrt(110)\/sqrt(11)*5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(((w*w**(-1))\/w)\/w)\/w*w)**34*(w*w*w**(2\/3))**(-2\/35) assuming w is positive.\nAnswer: w**(-3586\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + d + 6)*(1 + 2 + 2)*(-367*d**2 + 345*d**3 + 367*d**2).\nAnswer: 1725*d**4 - 6900*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25783 + -4406. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a + 578 = 102 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-1 - -6) - (-20 - -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 12) to base 2\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y*y**(-1\/3))*y))**(4\/11))**(-15)\/(((y\/(y\/y**1))\/(y\/((y\/y**(2\/3))\/y)))\/(y\/(y**(1\/2)*y))**(-2\/39)) assuming y is positive.\nAnswer: y**(1139\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1. Let f(m) = -6*m + 5. Let w(l) = -f(l) - 4*q(l). Let o(i) = 5*i - 1. Let v = -21 - -24. Calculate v*w(s) - 4*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*b**3 - 1245*b - 7*b**2 - 590*b + 5 - 5 - 491*b wrt b?\nAnswer: -456*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 13. Let n(b) = -17 - b**2 + 9 - 17*b + 8*b. What is n(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 250 = 4*v, 2*s + 22 + 37 = v. Let d be 3*2*3\/v. Suppose 2*x + 3 = -2*x - 3*q, -5*x - 1 = q. Do x and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d45e99 - -2?\nAnswer: -3d45e97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(144))\/(sqrt(16)\/sqrt(72)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 2, d: 5, n: 6, p: 1, g: 1}. What is prob of picking 3 n and 1 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 25. Let s = -1 + g. Let w = 2 + -2\/3. Put -1\/9, w, s in descending order.\nAnswer: w, s, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*b - 177*b - 185*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -4*p**3\/3 + 6*p - 1648. What is g(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - -1787) + -1 + (-9 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2. Let g(b) = 5*b - 11. Let r be 4\/10 - (-54)\/15. Let v(s) = r*g(s) + 22*u(s). Let k(t) = -t**2. What is v(k(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.894744 grams?\nAnswer: 894744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o**4 + 298214*o**3 - 56716*o**2 - 16*o.\nAnswer: -288*o + 1789284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6083801 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3507744571?\nAnswer: 1601, 2190971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*y + 10 = -3*y, 0 = -5*w + 3*y - 28. Let d be 0\/(0\/(-1) - -1). Put d, 4, w in increasing order.\nAnswer: w, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95228897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396))**2*-6.\nAnswer: -2382 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -18. Let s(n) = -11*n + 7. Let d(l) = 5*l - 4. Let m(u) = 7*d(u) + 3*s(u). Let y be m(5). Solve -y*g + 2*w = -9, -f*w = -0*g - 3*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 3:15 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 157, 155, 153, 151, 149?\n\"Answer: -2*f + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 - 12 = 0. Let n(m) = 6*m**2 + m. Let v be n(j). Calculate the highest common factor of 55 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1597\/11 + 145. What is the second biggest value in 1, -2\/7, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48427 (base 15) to base 12.\nAnswer: b1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 32*a - 7*a)*(0 + 2*a + 0) + (3 - 3 - 1)*(a**2 + 0*a + 0*a) in the form j + g*a + r*a**2 and give r.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/27))\/(p\/p**0))\/((p**(-2\/7)\/p)\/p)**(8\/5) assuming p is positive.\nAnswer: p**(3386\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*q - 28, -4*q - 2*q = -5*f - 38 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*g + 6*g + 47 = 0, 3*g + 9 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22229 + 1711693\/77. What is the common denominator of 5\/49 and j?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/1*8\/16. Suppose 4*w + 4*w + k = 0. Let d(a) = 4*a**3 - 3*a - 5. Let n(j) = -2*j**3 + 2*j + 3. Give w*d(b) - 5*n(b).\nAnswer: -2*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*l - 10 = 163*l. Suppose -40*q = -41*q - 5*z + 16, 3*z - 7 = l*q. Which is smaller: q or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 259\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (-9 + (13 - -2) + 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/22*7\/14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73168 is divided by 12194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let k = 9 + m. Let z(i) = 18*i**3 + 4*i**2 + 2*i - 4. Calculate the smallest common multiple of k and z(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1475*g**2 + 113*g + 4915. Let f(m) = -23*m + 1. Let r(a) = d(a) + 5*f(a). Differentiate r(c) wrt c.\nAnswer: -2950*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 14*x - 1190. Is x less than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -48*q - 41. Let d be p(-17). Let v = -722 + d. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-20) + (-1 - 34\/(-10)). Let j(a) = f*a - 8*a - 11*a. Let q(r) = r**2 + 3*r**2 - 6*r**2. What is j(q(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -40*z**3 + 3214*z - 3213. Give y(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16095088 and 16?\nAnswer: 16095088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 420*p**2 + 2969*p + 1247005. What is l(-420)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000091480527 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.7, -3\/5, 1\/4, 4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 158829.2 years?\nAnswer: 1905950.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 3*c + 10. Let i be u(3). What is the greatest common divisor of i and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 65*h**2 + 26*h - 21. Is w(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90558378 and 2820?\nAnswer: 905583780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*(750\/(-5))\/15\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9997043 minus 0.2?\nAnswer: 9997042.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948472 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let n(o) = o**3 - 17*o. Calculate 18*l(g) - 2*n(g).\nAnswer: -2*g**3 + 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/20, 6, 1, -0.0078?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/413 and 22\/100391.\nAnswer: 41461483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 58888?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10179)\/(-1885)*(-5)\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3174348489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:04 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2, 2*t + 2 = -4*m + 4. Let f(o) = -o**2 + 6*o - 3. Let j be f(5). What is the third derivative of 0*h**5 + h**5 - h**j - t*h**2 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67741823*o - 76824758 wrt o?\nAnswer: 67741823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -4)*(-30)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 542 + -541.69. Let n be 2\/(-12)*(-15)\/(-10). Which is greater: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 576839?\nAnswer: 576836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/25*2310\/(-693)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -45) + (-1 - -4 - -4) + (870 - 873)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1863 and 8667.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2b5e5?\nAnswer: -2b5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -409 + 160. Let c(s) = -s**2 - 65*s + 1113. What is the remainder when b is divided by c(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 143 + 2*j - 81)*(0 - 1 + 3) in the form i + v*j and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -29\/3, 5, 2\/9, -97\/3, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.838 to one decimal place.\nAnswer: 71.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 103.\nAnswer: -5\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 16*j - 20*j + v, -3*j + 33 = -3*v for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**(-41))**(-13) assuming r is positive.\nAnswer: r**(-1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703 - 657. Suppose 49*o - 126 = g*o. Suppose -3*z + 2*f + 57 = 5*f, f = 3*z - 65. Calculate the highest common factor of z and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9 + 21. Suppose -5*u = -x*u + 3000. Round u to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -82, -1, -9 in ascending order.\nAnswer: -82, -9, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-580)\/(-15). Let y = w + -55. Suppose -y*m + 124 + 239 = 0. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -1\/6 (c) -4\/3 (d) 6998\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140057.424590406 + -140216.624585. Let c = -159.2 - i. What is c rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 6. Suppose -5 = l - b*a, 3*a - 26 = -4*l - 1. Suppose -v = 4*f - 82, 0 = f + v + l*v - 11. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-11)\/(715\/(-120)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 8126.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f**5 + 10*f**2 - 1874*f wrt f.\nAnswer: -320*f**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**5\/2 - 5*x**4\/8 + 10*x**3\/3 + 5*x**2 + 653. Let o(a) = 0. What is a?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iifk when four letters picked without replacement from iyckcficciykickiccc.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-15))\/(2\/(-3)). Suppose -2*b + 6 = 2. Let h(w) = -13*w**3 - w**b + 3*w**3 - 2*w + 5*w**3 - f. Give h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5327841 - -2.1\nAnswer: 5327843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 2 k when four letters picked without replacement from kkwokmommosmmom?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-38)\/57)\/((-1)\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1701164 + 2*w**2 + 1701164 - 69*w**3 - 2*w**4 - 14*w to v*w + y*w**2 + m*w**4 + c*w**3 + t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 6032*q**4 - 171000*q**3 - 1632992*q**2 - 4287104*q - 3506688 = 0. Calculate q.\nAnswer: -3044, -4, -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5712, 11, -36.7 in increasing order.\nAnswer: -36.7, 11, 5712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i**3 - 1)*(i + 2*i - i)*(2 + 3 - 7).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 506.4.\nAnswer: 202.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from uuuuuzuuzuzuuzuz.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.0521 - 1.9479. What is the smallest value in 5, b, 120?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, g: 3}. Give prob of sequence xg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4209 + -4204. Solve 4*s = 3*t + 12, 4*t = g*s + 95 - 110 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 85 + 78 + 86 - 8*l - 8*l - 246. Let b(p) = -5*p + 1. Give 7*b(q) - 2*s(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84679, -169162, -253645, -338128, -422611, -507094?\nAnswer: -591577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21102132 (base 4) to base 2\nAnswer: 1001010010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = x + 2*q + 1, -2*x + 7 = 5*q. Let s be (-2)\/(-8) + (-7)\/x. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -71*o**4\/5 + 1203*o**3\/5 - 3691*o**2\/5 + 213*o\/5 + 1170 = 0.\nAnswer: -75\/71, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -560 (b) 2.2 (c) -0.26 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15607 = -31*t - 15762. Suppose -3*j + 2 = -5*n + 12, 5*j - 45 = -4*n. Sort -6, 4, t, n.\nAnswer: -6, t, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(78\/(-3525)) + -1. Let o = -10375\/104 - u. Find the common denominator of o and -137\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + -0.1. Suppose 68 = 13*f - 9*f. Suppose 0 = p - f + 13. Which is the closest to 0? (a) p (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 357 + -342. Let m be -2*p\/80*8\/(-12). Let w = -1.8 + -0.2. What is the closest to -1\/4 in m, w, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 28. Let i be t(-12). What is the units digit of 1344\/i - 2\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4858 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/561? (a) -1\/2 (b) 5.6 (c) -16 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j**5 - j**5 - 1198*j**3 + 1189*j**3 + (j + 0*j - 3*j)*(4*j**4 - 6*j**4 + 3*j**4) + (2*j**5 + j**5 - 4*j**5)*(1 - 3 + 4) + 6*j**5 + 2*j - 2*j.\nAnswer: -8*j**5 - 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -1\/40*t**5 - 1\/80*t**6 + 1\/4*t**3 + 0*t + 0 - 3*t**2 + 1\/16*t**4. Factor b(i).\nAnswer: -3*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = 2*n, 5*n + 0 = -b + 12. Suppose 0 = 3*i - 3*x + 6825, 0 = -b*i - 4*x + 1551 - 6071. Round i to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 830*d**2*u**3 + 29958*d**2 + 214*d*u**4 - 38*d wrt u?\nAnswer: 2490*d**2*u**2 + 856*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41, 254, 719, 1526, 2765, 4526, 6899, 9974?\n\"Answer: 15*s**3 + 36*s**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**8\/560 + u**4\/8 + 2*u**3\/3 + 2. Let r(b) be the third derivative of w(b). What is the first derivative of r(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160243 + 160240 - 2772*q**3 - 320483.\nAnswer: -2772*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 60270*z - 6944275.\nAnswer: (z - 115)*(z + 60385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 7) in base 15?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 411656 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkjkjjkj. What is prob of sequence jk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/7)*u**(-2)*u)**(-2\/3)*(u*u**5*u*u*u**(-1)\/u)\/(u**(2\/7)\/u)**(-45\/7) assuming u is positive.\nAnswer: u**(347\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-4 + 176\/16. Factor 4\/7*l**2 + 2\/7*l + 2\/7*l**r + 0.\nAnswer: 2*l*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 17. Let f = w + 11. Suppose f*x = 4*x - 6. Sort -1, x, -5.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 16. Let z be p(-5). Calculate the greatest common divisor of z and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*v - 12 = 0, 8*d = 5*d + 5*v - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Let k be (-4)\/10 - 222\/(-30). Let t(o) = 13*o. Let c(z) = k*b(z) + 3*t(z). Let g(x) = -x**2. What is c(g(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.298 - 2.898. Which is the second smallest value? (a) -0.62 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 410928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*-30*(2\/12)\/((-2)\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38091 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:41 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(8316\/(-18))*39.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m + 5. Let p(j) = -j**2 - 17*j - 6. Let x(r) = -3*o(r) - 2*p(r). Let f be 596\/1639 - (-300)\/22. Is x(f) 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 47700 and 1620.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087820 is divided by 2768?\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t + 32. Let q be w(-6). Suppose 3*l = -2*d - 49, q*l - d - 47 = 5*l. Let g = 20 + l. Solve 5*z + 5 = 0, -5*z - 24 = g*s - z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.008, -2717, -6, 2\/5, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8668510 and 21671275.\nAnswer: 43342550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z - 2*s, -3*s - 20 = -z. Let n(v) = v**2 - 6*v + 5. Let u be n(z). Is 5 a factor of ((u - 12)\/(-1))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.84496 centuries in months?\nAnswer: 97013.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 + 1135*q**4 - 3*q**3 - 79484*q.\nAnswer: -40*q**3 + 13620*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5, -5*s - 15 = -2*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 188\nAnswer: 7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 2078*c**4 + 1963*c**4 + 2 wrt c.\nAnswer: -460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14628 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 + 511143*v - 4600530 = 0. Calculate v.\nAnswer: -170390, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u + 737*u**2 - 6 - 5*u - 2*u - 744*u**2 + 8. Let d = 1 + 1. What is q(d)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((4\/36)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/300 + 19*r**5\/3 - 1897*r**4\/60 + 316*r**3\/5 + 2853*r**2. Solve t(d) = 0 for d.\nAnswer: 1, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/42 + z**6\/10 - z**5\/15 - 3*z**2\/2 + 2*z. Let h(c) be the first derivative of s(c). Factor h(w).\nAnswer: -w**2*(w - 2)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 + 1837*n + 6117*n - 2517*n to l*n + f and give l.\nAnswer: 5437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3 - 2) + (-13 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*s = 3*j - 16, -5*j + 5*s + 40 = 0. Calculate the highest common divisor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1171118697 and -8.1?\nAnswer: 1171118705.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -373a0?\nAnswer: -373a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-228)\/(-8) + (-2)\/(-4). Let i = l - -34. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17130, -37389, -71154, -118425, -179202, -253485, -341274?\nAnswer: -442569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 28. Let k = -17 + y. Suppose -k*x + 5202673 = -1947327. What is x rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12312580 and 71\/13020.\nAnswer: 36937740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1103 - -1102. What is the fifth smallest value in 1\/6, -3, 5.5, -1\/4, g?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 10 + 34 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 11*r**2 - 24*r - 21. Let s be i(13). Solve -2*p = 3*k - 13, -3*p + s*k - k = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579639823?\nAnswer: 7, 89, 739, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 88, 147, 214, 289, 372, 463?\n\"Answer: 4*g**2 + 39*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9898, 9850, 9760, 9610, 9382, 9058, 8620, 8050?\nAnswer: 7330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2406, -2614, -2822, -3030, -3238, -3446?\n\"Answer: -208*d - 2198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1826 and 53\/78815?\nAnswer: 13083290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/28)\/((-12)\/14776) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3 - 5. Let t(y) = -y**3 - 9*y**d + 4 + 8*y**2 - 2. What is the units digit of t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 13*p - 7. What is c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*u = -44, 472*r = 467*r + 2*u - 34 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 25 = -k, -k - 5*d + 19 - 3 = 0. Let p be -2*(k\/(-6) + 1). Let v = -624 - -629. Solve 2*s + 6 = -4*r, -p = v*s + 2*r + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*h - 2*h - 7, -2*h + n = 9. Let p = h + 7. Solve v - 5 = -0*v, p*v = -2*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 9\/((-9)\/(-20)). Suppose 0 = 6*b - 3*b - t. Let i = -20 + 16. What is the closest to 0.1 in 0.5, b, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10998600 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.283 rounded to one decimal place?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2535086798 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-96))\/(8\/(96\/6))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(38)\/sqrt(2) + -5)**2 + (2 + sqrt(38)\/sqrt(2) - sqrt(38)\/sqrt(18)) + -5.\nAnswer: -4*sqrt(19)\/3 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 287 = -5*q, 1435 = 5*h - 3*q + 4*q. What are the prime factors of h?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 8\/12)*36. Let q = c - -150. Does 29 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204 + -1055510?\nAnswer: -1056014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516887 and 287?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 537?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 482, 481, 480, 479, 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(14)*-1)\/sqrt(2) + sqrt(7) + sqrt(84)\/(-2*sqrt(12)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c + 7. Let r be 36\/(-27)*(-162)\/12. Suppose -6*l = r + 12. Give j(l).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - i + 5. Let s be a(3). Suppose -4*q + q = -39. Let f be 2\/(-6) - q\/(-3). Solve -f*r - s = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 4*s - 17. Let p be x(8). What is the highest common divisor of 120 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 36316131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 58, 86, 126, 184, 266, 378, 526?\n\"Answer: g**3 - 3*g**2 + 24*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 12:25 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0523*-0.3188435\nAnswer: 0.01667551505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*4*-6)\/sqrt(12).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + -9 + -3 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 16a61?\nAnswer: -16a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259\/185*5\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 267*z + 1601. Let j be h(-6). Let p = -0.6 + 1. Which is the fourth smallest value? (a) 9 (b) 2\/21 (c) p (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12486*b**4 + 7*b - 25004*b**4 + 12482*b**4)*(-1 + 4 - 2) as k*b + s*b**4 + j + m*b**3 + q*b**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/21))**(2\/5))**(2\/13) assuming v is positive.\nAnswer: v**(-8\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/18 - 140\/(-12). Suppose 0 = b*x - 23745 + 2421. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 44237.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9242 - 6082. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/15))**16*a**(-7)*a**(-5) assuming a is positive.\nAnswer: a**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113*n + 103*n + 22 - 122*n - 121 wrt n.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*m**2 - 183*m**2 + 53*m**2.\nAnswer: -239*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2\/2 - 14*h + 50. Give o(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5) - 138\/115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 5*i + 3, -3*b - 2*i + 93452 = 93460 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 630 + -624. Calculate the least common multiple of 438 and f.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 343\/4. Let u = -90 - -85. What is the closest to k in 3, 4\/3, u?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 2087\/108, -4, 0.5.\nAnswer: -7, -4, 0.5, 4, 2087\/108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*x**4 + 1 + 62*x**4 - 4 + x**4 - 1 + 1 + (2*x - x - 2*x)*(-7*x**3 + 12*x**3 - 6*x**3 + 2) as z*x**4 + n + g*x**2 + i*x + f*x**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5838536.\nAnswer: 2, 11, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40360 - -14?\nAnswer: -40343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*s - 10, b - 5*s + 29 = -b. Let c = -2 - -1. Put b, 2, c in descending order.\nAnswer: 2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-45)\/(-75))\/((-36)\/20 + 2). Solve i - 3*c + 4 + g = 0, -4*i = -3*c + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107242821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4124320 (base 5) to base 14\nAnswer: 1a828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/23)*c\/(c\/(c\/(c\/(c*c**(1\/12)\/c*c)*c))))\/(c**(-10\/3)\/c**(-12\/5)) assuming c is positive.\nAnswer: c**(1223\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + -4 + -2*(sqrt(1088) + -2 + sqrt(1088)) + -2)*-1)**2.\nAnswer: -17417 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 3. Let g(i) = i - 2. Let v(n) = -5*g(n) + 3*x(n). Let f be v(13). Calculate the highest common divisor of f and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:11 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13637 (b) -0.4 (c) 1.01 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 15, -3*n = -5*n + 2*h + 436. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*n + 46 - 1575*n - 46.\nAnswer: -1234*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 13. Which is the second smallest value? (a) q (b) -2\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147020?\nAnswer: 2, 5, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -d + 1576, -4*d - 5*n + 5355 + 898 = 0. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2191*h**4 - 51825*h**3 + 172523*h - 406 wrt h?\nAnswer: 26292*h**2 - 310950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -76, -212, -408?\n\"Answer: -30*k**2 + 14*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59659 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oov when three letters picked without replacement from {d: 5, o: 1, m: 1, v: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25377386.\nAnswer: 2, 12688693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-39 - -24)*6\/(-20)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -55*a**3 - 2*a + 4. Is h(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11660309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-301915)\/50)\/((-8)\/(-85)). Let q = v - -64093. Let x = q - -64. Calculate the common denominator of x and -113\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, 18818, 33 in decreasing order.\nAnswer: 18818, 33, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 - 285. Which is the closest to 1? (a) h (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/6 - 149*g**2\/6 - 210*g = 0. Calculate g.\nAnswer: -140, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -402672 (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:20 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -5 - 27. Let l(p) = -5*p + 1. Let j(n) = 4*n. Give h*j(d) - 3*l(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 2*u**2 + 8*u**2 - 15*u.\nAnswer: 3*u**2 - 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 45*j**3 + 3*j**2 + 50*j - 26. Let b(c) = 15*c**3 + c**2 + 17*c - 9. Let s(m) = -6*a(m) + 17*b(m). Find the second derivative of s(x) wrt x.\nAnswer: -90*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -5 in decreasing order.\nAnswer: -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -35 - 28. Let m be (-15)\/(-4) + f\/(-12). Solve 5 - 1 = m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 2. Let n(m) = -4*m - 2. Let o(y) = y**3 + 6*y**2 + 183*y + 893. Let c be o(-5). Determine c*n(t) + 2*f(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l - 72*l - 2196 = 0. Let p = 1138 - l. List the prime factors of p.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**2 - 433*m - 306. Let b be t(44). Let f be 0\/(-1)*(0 - -1). Suppose f = -b*s - 71101 + 815101. Round s to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*6 + 3)**2.\nAnswer: 72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/2 + 3)\/(-1). Let f = -6 - -1. Let r(q) = 2*q + 5. Let c(s) be the third derivative of -s**4\/6 - 3*s**3\/2 + 3*s**2. Give f*r(x) + m*c(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1377 and 521.\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 7*z - 7*z)*(12*z**2 + 5*z**2 + 6*z**2)*(4*z + 0*z + 0*z).\nAnswer: 276*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 229550 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 16*f - 42. Let z(w) = -3*w**2 - 47*w - 141. Let q(t) = -7*u(t) + 2*z(t). Let j(o) = 17*o. Let m be j(-1). Give q(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44\/13 + 360\/91. Let a(i) = 10084*i - 100838. Let q be a(10). Determine x so that -l - 2\/7*x + 2\/7*x**q = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (30 + 13 + -14) - -23 - -51.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*q = -2*p + 13, -4*q - 8 = -3*p. Solve 0 = -r - p*b - 8, -4*r - b - 9 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675981061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 25. Let w be y\/(-17*4 - 1). Let i = 5629\/276 - w. What is the common denominator of 57\/4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.0061943 - -998.098.\nAnswer: 1026.1041943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 27 + 37. Suppose -2*i - 4*z = d, i + 5*z + 16 + 15 = 0. Let q be 13\/7 + -2 - 12\/14. Sort 0, q, i in decreasing order.\nAnswer: 0, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 6:29 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = i - 1. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 631deb (base 15) to base 4\nAnswer: 101333002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.5881 years in centuries?\nAnswer: 8.475881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83183171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4510260 (base 7) to base 6.\nAnswer: 15535300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1221, 1227, 1243, 1275, 1329?\n\"Answer: g**3 - g**2 + 2*g + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/5 + 7*b**3\/5 - b**2\/5 - 2*b = 0.\nAnswer: -1, 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from gogakagxgokgoxkg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1158*v**2 - 1683*v**2 + 2702*v**2 + 1005*v**2.\nAnswer: 3182*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2272\/(-348) + 9 + (-28)\/3 - (3 - 10).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/21 in 0.2, -136, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59ac - 275?\nAnswer: -5c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1005.81 + -990. Let j = 14.08 - 14.19. Let i = j + k. Round i to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let a(m) be the second derivative of -74*m**4\/3 - 8963*m. What is a(s(h))?\nAnswer: -1184*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189438*p - 189438*p + 378879*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - -5) - (2 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/231 and -10\/6954651?\nAnswer: 48682557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 39*h - 1. Calculate the remainder when b(1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 6\/9*3. Let r(g) = 2*g**3 - 68*g**2 + 239*g + 26. Let p be r(30). Sort p, x, 5.\nAnswer: x, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498642.\nAnswer: 2, 3, 41, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, k: 6}. What is prob of sequence zz?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 21. Let r be d(5). Let j(a) = 9*a**2 - 2*a - 10. Is j(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.87407169+847\nAnswer: 847.87407169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Suppose 4*x = -5*d + 3*x + 12, 3*d - 8 = -x. Suppose 0 = 3*b - d*b + 3. Give c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(2 - (1 + 10)). Let t = u - -12. Suppose 6*n + 5*s - 495 = n, 4*n + t*s - 394 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 571, 856, 1141, 1426?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -81, -155, -301, -543, -905?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754533415?\nAnswer: 5, 103, 367, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 38. Let n(m) = -3*m**2 + 7*m + 4. Let k be n(3). Sort 2, k, q in descending order.\nAnswer: 2, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, -11, 212 in decreasing order.\nAnswer: 235, 212, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 58161626*j**2 - 211423435725648*j + 105711703322418.\nAnswer: -2*(j - 7270203)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 3. Let y = -19 + 22. Let d(p) = 2*p**2 + 9 + p**y + p**2 - p**2 - 2*p + 2*p**2. Let b be d(-5). Give j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 38 = -33. What are the prime factors of (13*i)\/(16\/(-80))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 422?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 5*a**3 - 3*a**3)*(-58 - 70 - 55 + 21).\nAnswer: -648*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 13*p**2 - 17*p - 16. Calculate d(-11).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((760\/12)\/5)\/(8\/12)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 + 6.222. Let g = -0.622 + t. Which is the nearest to 2? (a) 2\/5 (b) 2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -34*l. Sort l, -1, -0.047, 1\/6.\nAnswer: -1, -0.047, l, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5188092*f**2 - 23561953.\nAnswer: -10376184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13627 (base 15) to base 5\nAnswer: -3442022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012448 take away 0.57663?\nAnswer: -1012448.57663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*u**2 + 7*j**2*u*y**2 - 2*j**2*y**2 - 2*j**2 + j*u**2*y**2 + 18*j*y wrt y.\nAnswer: 14*j**2*u - 4*j**2 + 2*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 2130876*u - 378386043948.\nAnswer: -3*(u + 355146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y - 4. Let o(f) = -8*f - 2. Give -2*i(n) + 5*o(n).\nAnswer: -12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 83 = 2*k, -10*k + 5*a = -7*k - 121. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 67162915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(3\/5)\/a)))\/a)\/a*a**(-7)*(a*(a*a*a*a*a\/((((a**(-2\/13)\/a)\/a)\/a)\/a))\/a)\/a**(2\/5) assuming a is positive.\nAnswer: a**(-42\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 494?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7040822*f + 1 + 0.\nAnswer: 7040822*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -345*g**2 + 39*g + 4. Let n(p) = -230*p**2 + 28*p + 3. Give -5*a(l) + 7*n(l).\nAnswer: 115*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 9*b + 7. Suppose 0 = -k + 3*a + 6, k + 9*a = 4*a - 34. Let p be z(k). Solve 0 = p*g - 17*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3420)\/(-99))\/(-10)*(-1)\/4 and -169\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qei when three letters picked without replacement from qqiqiiieqqeiiii.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p + 7. Let w be r(-3). Suppose -5*k + 8 = -3*m, 2*k - w = -9*m + 4*m. Let t = -30 + 32. What is the remainder when m is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 - 47754*a**4 - 334479*a**3 + 859686*a**2 + 4204008*a + 3057600 = 0?\nAnswer: -8, -2, -1, 4, 15925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 20*a**2 + 5. Let v be 20*(36\/(-6))\/6. Let m be f(v). Solve 0 = -5*y - 2*l + 3, 0 = -y - 3*y - m*l - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3549 and 294.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64164, 128329, 192494, 256659, 320824, 384989?\n\"Answer: 64165*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 70. Calculate the remainder when ((-24)\/(-3))\/(6*(-1)\/m) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-9) - -2)*6. Let l = 83 - 79. Solve -4*q + 4 = a*x, 5*q + l*x - 5 = x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + n**3 + 63 - 6 + n**3.\nAnswer: 2*n**3 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z - 6. Suppose 4*d = 10*d + 36. Let q(l) = -9*l - 7. Calculate d*u(p) + 5*q(p).\nAnswer: 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 10. Suppose -5*v = -3*o + 3, 5*o - 5*v - 6 = -m. Let p(c) = -8*c + 1. Determine p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1403994 divided by 6.\nAnswer: -233999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, a: 3, l: 1, s: 3, d: 2}. What is prob of picking 1 l, 1 s, and 1 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 6}. What is prob of picking 3 i and 1 s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/4)\/b**9*(b**(3\/8))**(-21) assuming b is positive.\nAnswer: b**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 less than or equal to -218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 8 = x, 8*x = 2*m + x + 9*x - 1 - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 185?\nAnswer: 3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (31\/(-6))\/((-2)\/3). Let t = o + -283\/36. Suppose -4*r - h + 6 = -6*r, 2*h = r + 9. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 4*r**5\/15 - 79*r**4\/24 - 2635*r**3\/3 - 96*r**2 + 4*r. Find the first derivative of t(n) wrt n.\nAnswer: 32*n - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let v = t + -1. Let h be 1\/(-3 - v)*-1. What is the closest to -2\/5 in h, 1\/9, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*y**2 - 6*y**2 + 10*y**2)*(0 + 2 + 0)*(y - 3*y + 0*y) as z*y**3 + u*y**2 + a*y + q and give z.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33816.8 micrograms?\nAnswer: 33.8168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4\/3)*k)**(-11)*(k\/(k*k**(2\/3)))**(2\/3) assuming k is positive.\nAnswer: k**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 540. Suppose 36*v - u = 34*v. Let 2*x**2 - 54 - 2*x**3 + v = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**5\/2 + 22*k**4 - 103*k**3\/2 - 452*k**2 + 1762*k - 1640 = 0.\nAnswer: -5, 2, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let b be (-4)\/r - (-6)\/2. Let o = -0.5 + 0.3. Is o smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 9 - 9 + 2*v + 1 - 1 + (1 - 3 + 0)*(-v - 2*v + 2*v) - v + 2*v + 2*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 + -166. Let b = 10 + -20. Is l at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -50, -43, -36, -29, -22?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*a + 399*a - 416 = -418*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 625\/27 + -8179\/351. Put -0.3, -0.03, 0, i, -175 in ascending order.\nAnswer: -175, -0.3, i, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 359 and 8.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 164, 180, 202, 230?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310203 (base 4) in base 9?\nAnswer: -11207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - 60. Sort -5, k, 18 in decreasing order.\nAnswer: 18, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -12*n + 2599. Calculate the highest common factor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 14*m**2 - 2*m - 2. Let l(p) = -13*p**3 + 55*p**2 + 9*p + 9. Let t(h) = -18*g(h) - 4*l(h). What is the third derivative of t(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.78572us to nanoseconds.\nAnswer: 22785.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -31, 12, 91, 218?\n\"Answer: 2*v**3 + 5*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336153 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: Solve -2*s + 8 = -5*z - 5, -3*s - 4*z - 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:54 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4859187775 to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 276. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 803 - 228. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 532587 - 232587. What is d rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 11373.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {k: 2, p: 7, b: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79353120 and 4534464.\nAnswer: 158706240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 4643 + 2806 - a**2 + 7*a**3 + 1837.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/20, 0.3 in descending order.\nAnswer: 0.3, 1\/20, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 62. Suppose 0 = 5*y + j*k - 912, -4*y + 728 = 5*k - k. Suppose 3*p = y + 84. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 540?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 62549.\nAnswer: 312745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + 11*z - 63. Let f(q) = 65*q - 319. Let k be f(5). What is the tens digit of s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, 8, 24 in ascending order.\nAnswer: -62, 3, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1 - 1 - 2*c**2. Let s(l) be the third derivative of 5*l**4\/24 + 208*l**2. Determine s(i(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1387334435 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(252\/(-16)))\/(13212\/148635)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*t + 5*k - 220, 2*t - 144 = -4*k + 149 - 303 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 1101\nAnswer: -55\/1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**4\/c)\/c)**(-1\/8) assuming c is positive.\nAnswer: c**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -13*q. Solve z + 3*r = 20, z = -q*z + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.9, 0.2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 94.1. Let i = -36 + j. Let l = 7 + -7.3. Which is the closest to 0? (a) 0.2 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 3*i + 14. Let l be (-44)\/6*6\/(-4). Suppose 35 = -4*p + l. What are the prime factors of w(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7773965 millilitres to litres.\nAnswer: 0.0007773965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 8*l + 3. Let w be x(7). Let i = w + 6. Let a(n) = 4*n**2 - 2*n - 1. Let f be a(i). Solve -4*j + 9 = -f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 4. Let l be v(4). Let q be -12 + 1 + l\/(-3). Let p = -4 - q. What is the highest common factor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -606 divided by -3\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -497*y**4 - 2090*y**3 + 7382231 wrt y?\nAnswer: -1988*y**3 - 6270*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Put s, 0, -1 in descending order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, s: 3}. What is prob of picking 1 k and 1 s?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 divided by -2?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648)*1)\/(sqrt(4)*2*-2*1).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1165521621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**1)**(8\/7)\/(c**0)**(8\/7))**41)**5 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-44)*1 - (-46)\/253. What is the biggest value in 0, i, -0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let o(w) = 4*w + 2. Let n(x) = 33*x + 42. Let g(i) = -2*n(i) + 42*o(i). Give q(g(f)).\nAnswer: 204*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 306*z + 1714*z + 3486*z + 1558*z - 522736 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 10*o - 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-2))\/3 + 1 + 4. Let s be (2*-2)\/(1\/(-3)). Find the third derivative of 11*x**6 - 294*x**3 - s*x**k + 294*x**3 wrt x.\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0.3, 1.4, -3, 1\/7, 3 in ascending order.\nAnswer: -3, 0.11, 1\/7, 0.3, 1.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.3, -0.3, 1, 3\/2, 0.006 in descending order.\nAnswer: 3\/2, 1, 0.3, 0.06, 0.006, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkllik. What is prob of sequence li?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63 + 1*(3 - 1). Let h(f) = -2*f - 3. Let z be h(-7). Let g = 37 - z. Calculate the greatest common divisor of c and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, 329 in descending order.\nAnswer: 329, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 108, 83, 6, -147, -400, -777?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, r: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100011010101 (base 2) to base 6.\nAnswer: -253141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -225007*n + 28. Let p = 45 - 96. Let t = 55 + p. Let a be q(t). What is a rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -30. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279.2313 + -0.5313. Let q = t - 279. Let p = 2 - 3. Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 546, 1093, 1640?\n\"Answer: 547*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259815 - 170316. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58779 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**5\/60 - w**4\/4 + 5*w**3\/6 + w**2 + 11*w. Let b(s) be the first derivative of q(s). Calculate b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o - 46. Let i be f(4). Suppose 26 = -3*w + 8. Let a = 0 - w. Solve -a = 4*j - i*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 24*s + 124. Let q be d(-28). Let k be ((-128)\/(-320))\/(q\/10). Are k and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185682 and 13912887?\nAnswer: 194780418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2 + 12*j + 12. Let p(f) = 75*f + 2*f**2 - 42*f - 34*f. Let b(r) = -c(r) + 2*p(r). Factor b(x).\nAnswer: -2*(x + 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + (-32)\/(-6). Suppose -16 = l - r*d - 44, -4*l + 3*d + 27 = 0. Is (1\/l)\/((-2)\/(-282)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 <= -1515\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(1 + 0) - (3 + -6). Let j be (897\/92)\/(3\/f). Calculate the greatest common factor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208704 and 457627?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 18*d = -112 - 302 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0539? (a) 0.882 (b) 1\/5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 2 + -2 + sqrt(208))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqxlkqg. Give prob of picking 2 g and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161 divided by 585297.\nAnswer: 161\/585297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57 - 11*s - 25 - 18 wrt s?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161149 and 2?\nAnswer: 322298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4975 in -1\/22, 1\/7, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 12 = -2*a. Let n(f) = f + 27. Let t be n(a). Suppose 2*u - 79 = -t. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*q - 3. Let k = q - 6. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*174\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 29 - 2*h + 9 - 11 + 4*h. Let c be l(-13). Solve -5*x + c = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:32 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (2 + -1 + sqrt(1008))**2 - ((sqrt(1008) + -1)*-4 - sqrt(1008)))*-6.\nAnswer: -288*sqrt(7) + 6078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416928.478 minus -216190?\nAnswer: 633118.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h + h**3 + 1\/12*h**5 + 1\/120*h**6 - 15*h**2 + 0 + 5\/24*h**4. What is z(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -33. Let y be t - (3 - 3 - -3). Does 19 divide (-9)\/y - 789\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let a(w) be the first derivative of -w**2\/2 + 31*w - 98. Give a(u(p)).\nAnswer: -p + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 not equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Suppose 0*a - 22 = -l + 4*a, -3*l - 2*a + 136 = c. Let h(f) = -2*f. Let u be h(-7). What is the greatest common factor of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002760348 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 - -3.8. Which is the fourth biggest value? (a) -4 (b) -0.1 (c) k (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8062080*w**3 + 11282051*w**2 wrt w.\nAnswer: 48372480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -271 - 10?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197\/2 + -101. Let t(p) = -4*p. Let q be t(2). Let y = q - -5. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892601587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1681, -30, -477 in ascending order.\nAnswer: -1681, -477, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 7937088 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4797 or -4794?\nAnswer: -4797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28201*d**5 + 4*d**4 - 90*d**3 - 38677311*d?\nAnswer: 564020*d**3 + 48*d**2 - 540*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2729692 divided by -682423?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.1039?\nAnswer: 0.04156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110529844*0.5\nAnswer: 55264922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 457 + 3*i + 3*i - 4*i - 2*i to u + m*i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Suppose -2*j = v + 4*v, z*v + 3*j + 5 = 0. Suppose -y - 9 = -v*y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.044 + 4525221.789.\nAnswer: 4525221.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**2 + 32*b + 14. Let j(u) = 5*u**2 - 16*u - 8. Let k(p) = -2*a(p) - 5*j(p). Determine k(14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11072041 divided by 74309\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 664, 1317, 1970, 2623, 3276?\nAnswer: 3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 5*z + 17. Let q(n) = -6*n**2 + 7*n + 25. Determine 5*q(l) - 7*x(l).\nAnswer: -2*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55121 - 1.1?\nAnswer: -55122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*c - 101 + 64 + 18)*(-2 + 5 - 2) to the form j + a*c and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 - i**2. Let y(r) = 6*r - 11. Let q(k) = k - 2. Let l(a) = 33*q(a) - 6*y(a). What is s(l(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2101 or -44771?\nAnswer: 2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1550\/22919?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147507 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 15. Let t(c) be the first derivative of -3*c**2\/2 + 12*c + 76. Let m(k) = 4*f(k) - 5*t(k). Let b(i) = -242*i**2. Determine b(m(h)).\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 11*o**2 + 8*o - 174. Determine b(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3041*m + 8084736 = 3305*m. Is m a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1853.13 and -386.0876.\nAnswer: 1467.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-821 - -807) + (-56 - 4 - (0 + 0))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -3, -1.\nAnswer: -26, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53bced (base 16) to base 7\nAnswer: -64434400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2, 2, 5, 526, -3 in descending order.\nAnswer: 526, 5, 2, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:23 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29795217 + -3095217. What is g rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 213 = -201, 0 = 5*t + 5*k - 9520. What are the prime factors of t?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12230 + 3102?\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - 423\/36. Put 4, d, -1 in decreasing order.\nAnswer: 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.6 + -48.6518. Let p = w + -4.9482. Which is the third biggest value? (a) -1\/4 (b) -0.5 (c) 0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 734165 divided by -8\nAnswer: -734165\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258025 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) + 213\/105 + -2\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57175 - 3037?\nAnswer: 54136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**8\/168 + 5*x**4\/24 + 3*x**2\/2 + 3*x. Let o(q) be the first derivative of f(q). Find the second derivative of o(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899763 is divided by 2549?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - b)*(1 - 1 + 1) + 941 - 13*b - 941.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1500268146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 96 - 5*f**2 + 96.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61061\/18 - -3386. Let r = u - 20\/9. Let f = -4\/551 - -19373\/12122. What is the common denominator of f and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 467, 578, 763, 1022?\n\"Answer: 37*m**2 + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 147*y**2 + 10336*y - 2343. Determine p(-199).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/182 and -97\/812?\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:36 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 309761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -5*f**2\/2 - f + 2. Suppose 3*r - 2*x = 1, 14 = -r - r + 5*x. Let b(s) = 6*s + 1. Give r*b(u) + 4*p(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 40*c**2 + 1\/945*c**7 + 2 + 1\/90*c**6 + 2\/45*c**5 + 0*c + 2\/27*c**4 + 0*c**3. Find h, given that q(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 15, s: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 9*p + 7. Let i be g(-9). Suppose -i*j - 39 = -4*j. Let d(o) = -o - 7. List the prime factors of d(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170019 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Suppose w = -3*w + 16. Suppose -4*z = -b + w, -2*b - 4*z = -b - 12. Let k(p) = -b*p - 3*p + 7*p. Determine j(k(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -67, 422, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 8*q + 34. Let v be o(11). Does 8 divide 3*(v + (-31)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101011101 (base 2) to base 12.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7 - 5. Suppose -g*a + 0 = -12. What is the tens digit of a\/4 - 212\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*a**4*h + 2*a**3*h + 141*a**2*h + 3*h wrt a.\nAnswer: 600*a*h + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = o - 1. What is the remainder when 76 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(((-9)\/12)\/(30\/220))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579 - 7529*p**3 + 1160 - 7523*p**3 - 581 + 15056*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*b + 68 = 2*l, -2*b = -4*l - 34. Let s = 3031 - 3030. What is the greatest common divisor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(3*p**2 + 4*p**2 - 4*p**2) + (p - 1 + 1)*(0*p + 0*p - p) - 3*p**2 + 0 + 0.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/2 + 29*k**4\/4 - 81*k**3\/4 - 44*k**2 - 16*k = 0. What is k?\nAnswer: -1, -1\/2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 6. Let s be u(-5). Let t(x) = -33*x + 2. Let n be t(s). Suppose -b + 2*j - 4*j = 1, -j + 3 = b. Calculate the highest common divisor of b and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3)*(1\/2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 0*w**2 - 5*w**2 - 4*w**3 + 4*w**2. Let j be s(-1). Suppose -3*l + 41 = -5*h, h = -4*l + j + 21. Solve 0 = l*y - 3*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 10. Let o = t - 3. Let j(g) = -g**2 - g + 2. Give j(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m + 4 = 0. What are the prime factors of (7 - 46)*-1*(-18)\/m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1084 + -1087. Sort 8, z, -18.\nAnswer: -18, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - 62306?\nAnswer: -62332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggcc when four letters picked without replacement from {g: 13, c: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**3 - 32*o**2 + 5*o + 8. Let k be p(-3). Sort -3, -2, 5, -6, k in increasing order.\nAnswer: -6, -3, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (16 - 32 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -14*v**3 - 190*v**2 + 118*v + 2895. Determine q(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -83*j - 9. Let q be s(-2). Let t = 163 - q. What is the least common multiple of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/4*1908\/(-424)*100\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/570)\/(156\/32 + 60\/(-12))\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {h: 2, p: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447 and 2658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -72, -112, -152, -192?\n\"Answer: -40*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4454485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 16*c - 32. Let d be k(20). What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28758 (base 12) to base 4.\nAnswer: 31300310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Let j(d) = 6 + 4*d - h*d + 0*d. Give j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1219 + -1214. Solve 3*x - 2*j - 21 = 0, x + g*j = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47859336 and 6.\nAnswer: 47859336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-15)*(-90)\/(-24)*(42\/(-9))\/14\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-10))\/(3\/15). Let q be (h - -1) + 1\/1. What is the third derivative of -q*i**2 + 5*i**2 - 2*i**2 + i**3 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/64931760 and 86\/7245?\nAnswer: 454522320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 653 divided by 254\nAnswer: 653\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66.36 + -1.36. Let m = n + -11. Let l = m - 54.00218. Round l to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -13169.\nAnswer: -13169, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27607.01 + 23301.1. Let q = b - -4275.91085. Let j = q + 30. What is j rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)*l*(l**0*l)\/l*l**(2\/17)\/l**(-3\/2) assuming l is positive.\nAnswer: l**(199\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 8*x**2 + 7*x - 1. Suppose 14*b - 112 = 28*b. Calculate m(b).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17\/5)*z\/((z*z*z*z**4*z)\/z)*z*z assuming z is positive.\nAnswer: z**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Let h be p\/(-2)*(-4 + 4). Solve 5*b - 25 = h, 0 = 5*a + 5*b - 26 - 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 2*g + g - 2*g + 2. Let c(s) = 2*s - 1. Give -11*c(p) - 6*j(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, c: 3, g: 2, r: 1, j: 3}. What is prob of sequence rj?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -270374?\nAnswer: -270370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 4*c - 11. Let w(j) = j**2 + 4*j + 12. Let g(u) = -10 - u**2 - 3 - 1 - 3*u + 3. Let l(s) = 6*g(s) + 5*w(s). Give 11*l(a) - 6*x(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*c + 31 + 5*c - c to the form m + x*c and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(1\/(-6)). Let g be 0*c\/6*-2. Let p(x) = x**2. Let z be p(g). Solve 5*v + 5*i + 10 = 0, z = -3*v - v + i - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(2*c**4 - c + c) + 5*c**4 - 2*c**4 - c**4 + (3 + c - 3)*(5*c**3 + 19*c**3 - 6*c**3).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11370 and -53\/22740.\nAnswer: 22740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is e3610 (base 15) in base 13?\nAnswer: 1c2aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 858641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-20))\/((-21)\/105). What is the highest common factor of g and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 10910?\nAnswer: 32730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-4)\/(-8)*1. Let i be d - (-2 + 1) - -3. Suppose -o + 3219 = 4*y, 0 = i*y - 2 - 14. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27331815 and 17470.\nAnswer: 54663630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16265 - 2?\nAnswer: 16263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/13, 3, 6 in increasing order.\nAnswer: -3, -3\/13, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 76*c - 69. Calculate n(37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3589 = 12*i - 11737. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53460?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 4*d**2 - 1\/8*d**4 + 0*d + 0 + 0*d**3. Let r(v) = 81*v - 51*v - 1 - 42*v + 1. Calculate l(r(n)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284496230 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o - 35*o - 353 + 1015.\nAnswer: o + 662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**0*d*d\/d**(2\/3)*(d**(-1))**(1\/2) assuming d is positive.\nAnswer: d**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -758234.83 rounded to the nearest 10000?\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from uqqq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77894 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49723633 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.4 + -34. Put -2\/3, f, -3\/5 in increasing order.\nAnswer: -2\/3, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:17 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(-4*sqrt(160) + sqrt(160)))\/((4*sqrt(10))\/sqrt(2)*1*-2).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q*t**4 - 77321*q*t**3 + 567377*q wrt t?\nAnswer: 4*q*t**3 - 231963*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/5, -2, 203, 1\/4 in decreasing order.\nAnswer: 203, 8, 2\/5, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35722013, -71444018, -107166023, -142888028, -178610033?\n\"Answer: -35722005*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13242 (base 12) in base 16?\nAnswer: -6692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90406.9963761 + 90407. What is s rounded to 5 dps?\nAnswer: 0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*r**2 - 70482*r + 4 - 8 + 70480*r)*(0*r**2 + 3*r**2 - r**2).\nAnswer: -104*r**4 - 4*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j + j - 3*j. Let d(w) = 7*w. Calculate a(d(i)).\nAnswer: 35*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9903162, -19806322, -29709482, -39612642, -49515802, -59418962?\nAnswer: -69322122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:19 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 6) + 3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/((-4)\/(-9)*3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4\/7 (b) 68 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1111 (b) 9 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/29))\/g)\/g*g*g*g**(-3)*g**(1\/2)\/(g*g\/(g\/(g\/(g*g**(-2\/9)\/g*g))*g)) assuming g is positive.\nAnswer: g**(-935\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -0.7802?\nAnswer: -19.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 + h + 45 - 62 as m + n*h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/7 - (-57)\/(-84). Let h = m - 1\/2. Put 3\/7, h, 5 in descending order.\nAnswer: 5, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, a: 4, b: 1, q: 1, k: 5}. Give prob of picking 2 a and 2 g.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888826 to the power of 1\/2, to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:33 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5107 - 8232. Let l = 113 + -65. Let i be 16*b*(l + 2). Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 7293 = 4*b. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 44. What is the remainder when 15 is divided by ((-4)\/12)\/(x\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 7656\nAnswer: -229.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 18 + 0 + (8 - (-24 - -35))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12))\/j**(-10) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242550 and 248.\nAnswer: 30076200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*i**3 + 2*i**4 - 5*i**3 - 2*i**3 to c*i**3 + f*i + x + w*i**2 + y*i**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 13\/((-39)\/402). Let r = v - -139. Solve 5*f + c = -8, 2*f - r*c = 4*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -17866156.6526?\nAnswer: 17866156.6526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110241564 divided by 27560391.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1\/6*v**4 - 450 - 381\/2*v**2 + 32\/3*v**3 + 630*v = 0?\nAnswer: 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/5 - 2498*j**2\/5 + 5004*j\/5 = 0 for j.\nAnswer: -1251, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2119024 (base 10) in base 3?\nAnswer: -10222122202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 2.4. Let b = k - 1.95. Let q = b + -0.25009. Round q to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 939720085 and -0.39.\nAnswer: 939720084.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**2 - 9*t + 0*t**2 + 6*t**2 + 23*t wrt t.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + (-99)\/270. Let f = 1.1 + -4.1. Let u = -0.3 + -1.7. What is the closest to u in j, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21185 - -9.78815. Which is the nearest to -2? (a) -1 (b) 3 (c) x (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**23*p**(2\/65)*(p\/(p**21\/p))**24 assuming p is positive.\nAnswer: p**(-28143\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 422 - 301. Let r = -75 + x. Solve -14*p**2 + 21*p + p + r*p**2 + 14*p**3 + 4 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w, -2*o + 3*w - w + 790 = 0. Is 44 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n + 17*n + 5. Let h(w) = -6*w - 6. Let l(k) = 2*k**2 - 5*k + 2. What is the remainder when l(6) is divided by h(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-1)\/(-1) + -2) + 3. Solve t*r + 5 = -d + 3*r, 3*d + 4*r = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s. Suppose 0*c = -5*c - 5. Let w(d) = -2*d**2. Let b(p) = c*z(p) - w(p). Factor b(m).\nAnswer: m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m**2 - 6*m - 10. Let c(a) = -19*a**2 + 8*a + 11. Let n(p) = 5*c(p) + 6*t(p). Calculate n(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m + 1554 = 60*m. Solve m*s - 75*s - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*7)\/(-2*2\/64). Suppose 12*p - 16*p + y = 0. Find the first derivative of 6*s + p - 24 - s + 31 wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 15*z - 42 = p + 14*z, 0 = -4*p - 3*z - 45 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22884308?\nAnswer: 2, 113, 197, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3704 and 4?\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let g(p) be the first derivative of -5*p**2\/2 - 30*p + 48. Give s(g(z)).\nAnswer: 10*z + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 - 454 + 224 - 208*m + 42*m.\nAnswer: -166*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1 + -1 + sqrt(17) + -2)**2 + 5.\nAnswer: -54*sqrt(17) + 1391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -350, -284, -214?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*u + 6*u - 1, u + 5*k = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*b + 269*b - 85*b + 257*b + 120*b in the form v + u*b and give u.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 99*s + 291. What is o(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (3 + 2 - 3)*(-2 - 3 - 7) + 0 + 1 - 2)*(13 - 13 + 8*u).\nAnswer: -208*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 324052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*v**3*z + 2*v**3 - 16*v**2*z + 9*v**2 + 17473*v*z - 8*z wrt v.\nAnswer: 912*v*z + 12*v - 32*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 - 11 = 0. Let l be (-10)\/(-6) - (-2)\/j. Suppose -l*z = i - 75, -2*i + 0*i = 5*z - 189. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -32. Suppose 6*a - 96 = 2*a. What is the greatest common factor of w and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(5\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:55 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 1, u: 4, i: 2, m: 1, l: 1, s: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m. Suppose m = 16*i - 18*i - 42. Let c = -19 - i. What is the greatest common divisor of 3 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = -3*z. Let o be -1 + 1 - (-3 + 14\/z). Suppose -h + 1 = -5*f - o, f + 3*h = 6. Solve t + 4 - 7 = f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + (-46)\/(-8). Let w be (-4)\/14 - q\/(-21). Which is smaller: -7\/6 or w?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 30 = -2*h. Suppose 0*l + 20 = -h*l + 4*n, 2*l - 25 = -5*n. Factor 0*y**2 + 3\/2*y**5 + 0*y**3 + l*y + 0 + 0*y**4.\nAnswer: 3*y**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 35, 3, -1, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 73*c**2 + 150*c - 40. Let n be o(54). Round n to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-6)*1\/((-30)\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c + 7. Let v be f(-5). Suppose -3*j = -372 + v. Let g(b) = 3*b**2 - b. Let a be g(2). What is the greatest common divisor of j and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 0.01 (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*o - 2*p, -49*o + 52*o + 5*p + 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r + 1. Let q be l(-5). Let z(u) be the first derivative of -u**3\/3 + u**2 + u - 9. Let g be z(2). Are q and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-10) - -6*1\/3. What is the closest to s in 0.5, 5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*r**2 + 254114*r + 26755254 wrt r?\nAnswer: -30*r + 254114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let z(n) = n - d*n + 6 - 2*n. Is z(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 30. Suppose p + 6 = -3*k + u, 3*p = -2*k + 17. Suppose -s = k*s - 130. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-35)\/(-15))*(-4)\/3. Solve 12 = t*p - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*l + 225*l - 729*l + 219*l + 24*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13565789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vibdsbdiivbk. Give prob of picking 1 v and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 598840548.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*l. Let b = 0 + l. Suppose -b*w + 75 = w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -43 (c) -1\/11 (d) 15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 931, 13042, 25153, 37264?\n\"Answer: 12111*u - 11180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 22\/7, -0.2, -3, 23\/2.\nAnswer: -3, -2.1, -0.2, 22\/7, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73615.\nAnswer: 5, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103604 (base 7) in base 14?\nAnswer: 376ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29857, 29873, 29899, 29929, 29957, 29977, 29983, 29969?\nAnswer: 29929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times -2?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 805280 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -744*p**5 - p + 268 - 13 + 26 wrt p?\nAnswer: -14880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -111 from 0.00730884401.\nAnswer: 111.00730884401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 852737443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/4 + 108*u**2 - 1749*u\/4 - 545 = 0.\nAnswer: -436, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 484 = 35*m. Let a = 12 - -52. Calculate the smallest common multiple of m and a.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.6 - 34. Let w = 3 + j. Sort -1, 2, w in increasing order.\nAnswer: -1, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 16*r + 22. Suppose -2*g = -7*g + 80. What is the tens digit of f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != 6267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - -2891575289.\nAnswer: 2891575314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -30\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1\/(-1) - 8\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 - 88 = -125*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o*o**9)**0*((o**(-6)*o)\/(o\/(o**5*o)))**24 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/24 + t**3\/6 + 10*t**2. Suppose -2 = -4*p + 14. Let h(u) = -2. Let k(o) = p*h(o) + 5*d(o). Differentiate k(q) wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 + 127. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 2*j - 1. Let d be k(-1). Let m(v) = v**3 - 4*v**2 - v - 7. List the prime factors of m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + -7.17. Let f = 21 + j. Let i = f + -13.999983. Round i to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 18 = -5*m, -2*m - 3*v = -7 - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let d(q) = -6*q**2 + 6*q - 6. Let k = -109 - -108. Determine k*d(u) + 6*o(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 12}. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/7148 and ((-105)\/198)\/((-4)\/(-12))?\nAnswer: 78628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 12)\/(2\/12). Let k = w + 126. Suppose 5*c - k = -0*c. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/15 of a day?\nAnswer: 2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0512, 1, 0.2, -2, -8\/13?\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 + x - 14. Suppose 390*s = 401*s + 11. Let t(l) = l**2 + l + 1. Let i(m) = s*u(m) + 4*t(m). Factor i(p).\nAnswer: -(p - 2)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Let c(a) = a**2 - 2*a + 4. Let u be c(p). Solve v - u = -z + 4*z, 5*z = -4*v - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1\/134, 0.2, 5.05.\nAnswer: -5, -1\/134, 0.2, 4, 5.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 + -1 + 3). Let u(l) be the second derivative of 7*l**5\/20 + 9*l. Give u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 4\/42. Suppose -6*k + 26 - 2 = 0. Let d be k\/(-8) - (-9)\/10. What is the closest to d in 0.4, 2, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -288*h**3 - 3 + 2 + 3 + 13*h - h**4 + 286*h**3 + 3*h**2 as l + a*h**2 + t*h + o*h**4 + g*h**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -590*g + 11217. Give t(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by -140?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476747?\nAnswer: 7, 13, 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 + 3*w**2\/2 - 15*w. Let g(f) = 74*f**2 + 89. Let b(y) = 3*c(y) - g(y). Find the first derivative of b(s) wrt s.\nAnswer: -154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 - 439. Is (-72152)\/l + 54\/(-459) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 9. Let y be (-62)\/(-14) + z\/7. Let p = y - 0. Solve 4*d - 8 = 5*c - 2, -p*d - c = -22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = 7*v - 3*v, -v + 10 = 2*l. Let o(f) = -f**3 + 4*f**2 - 4. Let p be o(4). Is 4\/l*(-138)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368592 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -7 + (-1200)\/(-160). Which is the closest to h? (a) -105 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.3. Let g = 0.1 + 4.9. What is the closest to 2 in b, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-5 + 5 + 4*q)*(5 - 2 - 2)*(q + 3*q - 2*q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 880 = -d. What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**5 + 175*n**4 - 2250*n**3 + 12150*n**2 - 18225*n - 32805 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**2 + 5257*c - 22787. Give b(-530).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/8, -3, -22, 0.1, 6 in increasing order.\nAnswer: -22, -3, -1\/8, 0.1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286\/1695 - -4\/113. Let f = -18 - -10. Let u = f - -5. What is the smallest value in d, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 116 - 446. Let h be 8\/(-14) - (x\/35 - 13). Solve -4*s - 24 = -s - h*j, 0 = 5*s + j + 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 10\/(-4)*2. Suppose 3*t + t - 5*o - 25 = 0, -15 = 2*t + m*o. What is t rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115910401*d**3 + d**2 + 57449861*d.\nAnswer: 695462406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (1 + -6)) + (-4)\/(-8). What is the nearest to w in -2, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) 23 (c) -10\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:24 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25812312 and 38718468?\nAnswer: 77436936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Let c be 4\/42 + (-14)\/(-1617)*-11. Solve c*y + 12 = -a*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 581544392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t - 5*s + 7108, -5*t = 5*s - 17755. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - -3)*(-4)\/(-10). Let w be 166*r\/(-6)*(797 - 47). Round w to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7794011 + -462288.\nAnswer: 7331723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -1\/25, -0.3, 2\/43, 1\/5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8281 a factor of 1689390248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t - 1\/60*t**5 - 5\/24*t**4 - 1\/3*t**3 + 0 + 3*t**2. Suppose -62 = 4*l - 42. Give b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 5*d**2 - d + 2*d - 2. Suppose n - 4*n + 3*z - 12 = 0, n - 4*z + 10 = 0. Determine u(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17) + -4 + (sqrt(833))**2 + 1 + sqrt(17) + (sqrt(2057)*3 + sqrt(17))**2 + (sqrt(51)\/sqrt(3))**2*-5.\nAnswer: -sqrt(17) + 20397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*x - 17 = 0, -4*l + 0*l + 5*x - 17 = 0. Let b be (5 - 1)*(-7)\/14. Let j = 0.2 + -1.2. Sort l, b, j in descending order.\nAnswer: l, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6359 - 8848 = 1045*r + 88307 - 5284 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:43 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18252*w**2 + 2456?\nAnswer: -36504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -2.3. Let l be ((-77)\/14 - -9)\/((-70)\/(-40)). Which is the third smallest value? (a) y (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/10*10\/(-160)*20\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(325) + 0 + sqrt(325) + ((sqrt(325) - (sqrt(325) + -1 + sqrt(325))) + 1 + sqrt(325) + sqrt(325))**2).\nAnswer: -658 - 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**3 - 7*f + 2 - 156*f**2 + 70*f**2 + f**3 + 121*f**2. Let q(p) = 3*p**3 - 17*p**2 + 3*p - 1. What is 9*q(j) + 4*t(j)?\nAnswer: -j**3 - 13*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5 - 640*l - 35\/2*l**4 + 140 - 120*l**3 - 400*l**2. Determine o, given that p(o) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -12.4. Let t = -9.6 - n. What is the second smallest value in 0.2, -15, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 1. Let c be j(1). Suppose 6 = c*v - 6. What is the third derivative of 4*d**3 + 2*d**3 + d**2 - 6*d**3 - d**v wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101010100101101001 (base 2) in base 15?\nAnswer: 350b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1051*o - 4167. Let g be y(4). What is the highest common divisor of 4736 and g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 (base 3) in base 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -56. Let y be 2\/7 - k\/(-14). Solve -20 = 4*w - 5*s, y*w = 7*w + 5*s + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-8) + (-1 - -3). Let p = 104 - 107. Which is the second biggest value? (a) z (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12516, 12517, 12518, 12519?\nAnswer: 12520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from gzmkgzeogomkzzze?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*j + 3*j - 28, -4*j = -4*l + 8. Calculate the least common multiple of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 y when three letters picked without replacement from {y: 3, c: 15}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 8*d - 4*d + 4*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*f*s**5 - c**3*f - 6*c**3*s - 26*c**2*f*s**3 + 11*f*s**2 wrt s?\nAnswer: -180*c**3*f*s**2 - 156*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 64 and 64 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7238.12 - 7238. Sort -2, 4, s, -1 in ascending order.\nAnswer: -2, -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -31\/5712569 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 1, v: 1, w: 1, r: 7, f: 2}. Give prob of sequence rfo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132725 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3042975488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 7. Let p = m + 9.99. Let o = p + -0.09. What is the second biggest value in 1\/5, 0.3, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*h = 2, 2*g - 6*g = 4*h - 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3031040 (base 5) to base 15.\nAnswer: -e74a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/715 in 33, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 4. Let k be n(6). Calculate the remainder when -40*(k - (-14)\/(-4)) is divided by 35*-3*(5\/(-25))\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 36, 40, 68, 132, 244, 416?\n\"Answer: 2*a**3 - 6*a**2 - 4*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 24 = 4*a, -4*a - 16 = -3*x - 32 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 5 + (-2 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-315)\/(-65)*(-2)\/(-2). Sort b, 0.5, 3\/8, 1\/5 in decreasing order.\nAnswer: 0.5, 3\/8, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3)*(-263 - -2). Let f = -48 - i. Calculate the remainder when f is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z**4*z*z*z*z**(-4\/7)*z*z*z**(-4\/11)\/z)**(23\/4) assuming z is positive.\nAnswer: z**(23253\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 5504*b**2 - 77422*b + 71916.\nAnswer: 2*(b - 13)*(b - 1)*(b + 2766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/14)\/(2\/106). Let c = g + 52. Let y be (7 + c)\/(-24) - 66\/(-8). Solve y*x = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -646*d**6 - 568*d**2.\nAnswer: -77520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 5*n, -3*g - 2*n + 794 = 0. List the prime factors of g.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2232033 (base 4) to base 15\nAnswer: -3486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 625632450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - j**2 - 2*j. Does 16 divide f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2118*s + 120*s + 1835*s.\nAnswer: 4073*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/85 + 78\/595. Let w(m) = m**3 + 6*m**2 - 16*m - 5. Let k be w(-8). What is the closest to -1\/4 in p, k, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -0.108\nAnswer: -4.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/30 - (-10)\/3. Solve -4*v + 0 = p - 2, -4*v - 2*p + s = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80062, 80703, 81770, 83263?\nAnswer: 85182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -11. Suppose -14100000 = y*x - 2*x. What is x rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(325)*-1 + (sqrt(325) - (sqrt(325) + (sqrt(325) - ((-1 + sqrt(325))*-3 - sqrt(325))))) + sqrt(325) + -3)*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-4 + 10*d + 4 + (1 - 1 - 2*d)*(-3 + 3 - 2)) to the form p*d + y and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 4:51 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 24342640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 298324 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c. Let y(s) = -s + 3. Let v(t) = -4*t + 10. Let w(f) = -3*v(f) + 10*y(f). What is w(k(r))?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-26)\/(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*-9*-1*(-2)\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 73879?\nAnswer: -73884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 i, and 1 w when four letters picked without replacement from giwggwwiiigi?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25*(364\/21 + -17)*(-1 + 0)\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606 = -2026*v + 2040*v - 186 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 11, -5, -30, 2\/13, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14476 and 11.18?\nAnswer: 14464.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21105 + 5?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3070985, 2, -9?\nAnswer: -3070985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let w = 2 + s. Suppose -w*b - 40 = -2*y, -34 = -y - 4*b + 2*b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/13)\/72*(-15)\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtttkkjttkmtttttkkmt. Give prob of sequence tj.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -o + 20 - 17, 0 = 4*o - 5*u - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtopw. What is prob of picking 1 o and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, w: 8}. What is prob of sequence wa?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -12) + (-94 + 97)\/(9\/2). Let t - 2*j**2 + 44\/3*j = 0. What is j?\nAnswer: -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 296 - 562 = l, -3*l + 5*z - 2514 = 0. Calculate the common denominator of 1\/3 + l\/72 and -3\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -62*g**3 - 2*g**2 - 3*g - 2. Calculate p(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 bigger than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2868 - 3*k - 6*k**2 - 2868 + (-k - k + k)*(-2 + 2 - k) + 3*k**2 - 2*k**2 + 2*k**2.\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + 2*z - 2. Let f be o(-3). Let a be f\/(-4) + 153\/36. Suppose 3*b = 3*q - 6, -q = a*b + 4*q + 26. Put 5, b, -1 in ascending order.\nAnswer: b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5276969 is divided by 39977.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301608 and 603216?\nAnswer: 603216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 11 = 3*z, 6*p - 3*p + 24 = 3*z. Let n be ((-35)\/(-11) - z) + 80\/(-924). What is the closest to 25 in n, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1 (c) -3\/5 (d) -3\/7 (e) -76 (f) 18\/7 (g) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 38*w**2 - 352*w - 115. Let q be r(21). Let j(p) be the second derivative of p**3\/6 - p**2\/2 - p. Give j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*x + 2, -8 = -4*c - 10*x + 6*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2599336 divided by -4.\nAnswer: 649834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6081 is divided by 243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100111100110100?\nAnswer: 100111100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + 1 + -4*(sqrt(150)\/sqrt(3)*1 - sqrt(50)))**2)*1 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 606 - 493. What is the remainder when k is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose 12 - 84 = -t*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16895 divided by 109.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, 436, 1131, -2\/17?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1794, 3582, 5370?\n\"Answer: 1788*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/45140 and 33\/14?\nAnswer: 315980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + y - 2 = -23*f, 10 = 2*f + 5*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*(w*w\/(w**(4\/7)\/w*w))\/w)*w*w*w)\/w)**(-20))**27 assuming w is positive.\nAnswer: w**(-2160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25260784)\/(-744) + (-8)\/(-6)?\nAnswer: 2, 3, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -4*v - 4*z, 0 = -4*v + 3*v - 5*z + 77. Let h = -87 - -48. Let b = v - h. Calculate the remainder when b is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*-368.\nAnswer: 10672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 20. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose 0 = w*l - 18 - 2. Suppose l*n = 11*n - 36. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 7*y = -4*l - 10, -y + 10 = -l. Suppose -r - 4*g = -y, -3*r + 0*r + 5*g - 21 = 0. Is 0.043 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u - 34 = -197*u + 101*u + j, 0 = -0*u - 4*u - 5*j - 38 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9 = -j, 0 = -5*u - 5*j. Let d(a) = -5*a + 41. Suppose 0 = 6*c - 72 + 24. Let v be d(c). Solve 0 = -u*o + 10 - v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20674856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*n - 19 = 0, 2*s + 11 = -6*n + n. Let j be (-3)\/1 + 0 - -1. Let y be (-2)\/j - 1*2. Which is the smallest value? (a) y (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.548872 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by 67.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3997 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 13065*p**2\/4 + 26133*p\/4 + 13067\/4.\nAnswer: -(p - 13067)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212210 - -12210?\nAnswer: -10200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 5.6.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*d**3*k**3*u + 5*d**3*k**2*p**3*u + 613*d**2*k**3*p**3 + d**2*k**3*p*u + d*k*p**2*u - 2*k**3*p*u wrt d.\nAnswer: -2376*k**3*u + 30*k**2*p**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -24*q**5 - 48*q**4 + 12*q**3 + 44*q**2 + 12*q. Let v(p) = -p**4 + p**3 - p**2 - p + 1. Let r(t) = b(t) - 4*v(t). Suppose r(k) = 0. Calculate k.\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 286. Let i = -90 + m. Does 2 divide (-68)\/6*i\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 95 = 49 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1156*z**3 - 579*z**3 - 573*z**3 - 229*z)*(-2*z**2 - 2*z**2 + z**2).\nAnswer: -12*z**5 + 687*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 1. Let w(h) be the third derivative of h**4\/6 - h**3\/6 - 2*h**2. Suppose z - 3 = -0*z. Give z*q(y) - w(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/14)*b**(-4\/9)*b**(-15)*b*b**(-17\/3)*b*b assuming b is positive.\nAnswer: b**(-2291\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12690 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49171653*d**3 - 5*d**2 + 30*d - 128238.\nAnswer: -295029918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from gggpgffgwffffgpggg?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 + -195. What is the greatest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/81)\/(418\/(-99))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-36)\/27 - ((375 + -9)\/(-6))\/(-1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41929 + -28008. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:33 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.13997+1937753\nAnswer: 1937747.86003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.43545 + 0.2343. Let b = m + -0.67. What is b rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*h - 10846 + 7765 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:24 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2327 - 2203.1. Let l = t + 144.8. Round l to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/3935349 and -37\/189.\nAnswer: 82642329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 744 and 217?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 4*h - 116, -28 = -a - 4*h. Let d be 39*(-2)\/12*4. Let u = a + d. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -70 - (20 - (4 - -24))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -4) + 145 + -1 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b**(3\/5)\/b))))**(-18)*(b*b**(1\/59))\/b**(-43) assuming b is positive.\nAnswer: b**(5551\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 13\/108?\nAnswer: 13\/108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -43. What is the tens digit of n + 12\/4 - -60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - x**3 + x**3)*(3*x + 0*x - 2*x) - x**5 - 3*x**5 + 2*x**5 - 2*x**2 + 96421*x - 11*x**5 - 96421*x + 26*x**5 - 4*x**5 + 9*x**5.\nAnswer: 16*x**5 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {v: 1, e: 10, m: 3, s: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5)*175\/(-14). Let m be 24\/o + 2*-1. Let g = -0.8 - -1.1. What is the second biggest value in m, -5, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279.3 + 345. Let h = -66 + y. Let j = -3 - 1. Which is the nearest to h? (a) j (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 981 = -9188. Is 8207 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21078 + -21083. Put -3, l, -63, -13 in descending order.\nAnswer: -3, l, -13, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 3 in increasing order.\nAnswer: -18, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*a + 3*v - 7, -5*a - 3*v + 11 = 0. What is the smallest common multiple of 65 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116.3 - 102. Let j = z - 13.3. Put 0.06, -2, j in decreasing order.\nAnswer: j, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 544*l + 13069*l - 7324*l + 12366*l to the form p + j*l and give j.\nAnswer: 18655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -178.9404.\nAnswer: -3578.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 1. Suppose -c + 5*o + 22 = 17, o - 4 = 0. Let d = c - r. Sort d, 2, 4, 1.\nAnswer: 1, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 346320.\nAnswer: 1731600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 16*v + 77. Let f be k(-43). Let a = 2689 - f. Round a to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -382. Let w(k) = -k**2 - 17*k - 27. Let u be w(-15). Suppose 0 = -5*t - 4*r + 28, 5 = 4*t - 2*r - 7. Solve u*g + o = t*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570915837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 21, 41, 71?\n\"Answer: 5*v**2 - 5*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5014 divided by 23\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Suppose -8*g + 6 = 3*y - 4*y, 0 = 4*g - 2*y. Let k = 227 - 153. Put z, k, g in decreasing order.\nAnswer: k, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/75*63\/(-12)*4\/(-7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 211. Let y = o + -90. What are the prime factors of (232\/10 - -1) + (-124)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21120240 is divided by 281603?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384500539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -767652 to the nearest 1000.\nAnswer: -768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/14*1*1\/1. Let y(m) = -m**2 - 14*m - 21. What is the remainder when 16 is divided by y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1461525\nAnswer: -1\/487175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z**2 - 22*z**2 - 3 + 13*z**2 to x*z + u*z**2 + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/18 and 85\/828 + (-18)\/72.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10e405 (base 15) to base 3\nAnswer: -1112000201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h**2 + 360*h - 1436. Give u(4).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -6) + 11 + (1 - -10) - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 171294161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811 - 2819 - (1 + -43)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:15 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189410 is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 52\/3843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14\/9, 5, -4, 1\/3, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 9*m**2 + 3 - 14*m**2 - 14*m**2.\nAnswer: -35*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548*d**2 + 20*d - 1544*d**2 - 20*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(333\/(-37)))\/17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 381077 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 17, -22, 3 in descending order.\nAnswer: 17, 3, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -5 in ascending order.\nAnswer: -15, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaalaatlsltaaaaal. Give prob of sequence aal.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2421*b + 2713 + 105586 + 37321 = -45639 for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 99, 66, 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*j - 44023, -2*y + 29356 = -234*j + 239*j. Is y a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758 - 679 - 235)*((-2*s**3 + s**3 + 3*s**3)*(1 + 2*s - 1) - 2*s + 2*s**4 + 2*s) + 2*s**4 - 4*s**4 + s**4.\nAnswer: -10033*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -146579.9619 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*((-1 - -4) + -1). Solve m*l + x = -5, 2*l = -4*x - 9 - 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 870*r**3 - 2*r**2 - 11*r + 6. What is h(1)?\nAnswer: 863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 2*a**2 + a + 62. Let r be f(0). Suppose 22 = 8*h + r. Let l be (-2 - -3) + 0 + -2. Sort h, l, 3 in descending order.\nAnswer: 3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.98 + -0.02. Suppose -22*k = -15*k + 63. Let i be 10 + -16 + (-51)\/k. Which is the second biggest value? (a) i (b) 1\/2 (c) y (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12665.\nAnswer: 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2\/3*y**3 + 0*y**2 - 2 - 2*y. What is the first derivative of h(w) wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*n - 30, 1353199*u - 9 = n + 1353200*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**2 + g**3 + 45*g**2 - 42*g**2.\nAnswer: g**3 - 44*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**7*i*(i**8*i)\/i*i)\/((i\/((i**(2\/95)\/i)\/i))\/(i\/(i\/i**7))))**(-35) assuming i is positive.\nAnswer: i**(-14644\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 + u - 4. Let n be y(3). Let k(l) = -3*l**3 - l. Suppose -3*s + 0*s = -42. What is the remainder when s is divided by k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((7 - 4)\/3). Are x and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) 0.08 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*c - 3*y - 25, 2*c = -4*y + 6. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 4. Determine s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000892085822 rounded to six dps?\nAnswer: -0.000892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)*-1*(7 - 10). Suppose -4*x = x - 35. Calculate the remainder when -49*(-4 + x)\/v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 3*h. Let n = 10 + -10. Suppose -3*q - 6 = 2*c, -q + c = -n*q + 2. Calculate the smallest common multiple of 20 and a(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 3140?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14054017 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 146765360 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.7 - 6.5. Suppose 5*w = 5*k + 10, -k + 5*w = 3*k + 13. Which is the third biggest value? (a) k (b) -0.06 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(42)\/(sqrt(6)*-1) + sqrt(7))*2)**2 - (sqrt(847) + -2*sqrt(847) + sqrt(847) + 5 + sqrt(847))**2).\nAnswer: -869 - 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, -3, 1 in decreasing order.\nAnswer: 146, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -2*sqrt(2736) + 2 + sqrt(2736) + 4 + ((sqrt(2736) - (sqrt(2736) - (1 + sqrt(2736))*-2))**2 - (sqrt(2736)*1 + 1 - sqrt(2736))**2).\nAnswer: 96*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246561405?\nAnswer: 3, 5, 16437427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 383096 by 14.\nAnswer: 27364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**2 + 11*s - 69. What is the thousands digit of y(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - -5437255?\nAnswer: 5437219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y - 24. Suppose 5*x = -3*k - 27, 4 = 4*x - 8. Let o(l) = -l**2 - 15*l - 1. Let b be o(k). List the prime factors of w(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 12*m - 1\/12*m**4 + 3\/2*m**3 + 0 - 7\/2*m**2. Determine u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/2160 and 131\/4704.\nAnswer: 211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 84 - 90 - 468\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + 20147989?\nAnswer: 20147941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 23. Let d be -4 - l\/6*6. Suppose -d*b = -2*i + 33, 5*i = i - 3*b + 1. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.0338 decades to centuries.\nAnswer: 70.00338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 0. Is j equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*g*i**2*w - 170*g*i**2 - g*i*w - 4098*g*w + i*w + 8*i wrt i?\nAnswer: -168*g*w - 340*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8375*t**4 - 4*t**2 - 2*t + 972. Let g(n) = -n**4 - n**2 - 9. Let x(i) = a(i) - 4*g(i). What is the second derivative of x(w) wrt w?\nAnswer: -100452*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/7, -0.4761, -2\/23, -5, -0.02?\nAnswer: -0.4761","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d*d*d\/(((d**1\/d)\/d)\/d))\/d))\/d)**19\/(d**(-3\/14))**(-39) assuming d is positive.\nAnswer: d**(-1447\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -k*m = y + 2, 5*m + 37 = 3*y - 1. Solve 0 = 2*a - y*a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8069 is divided by 3925.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555839 = 18157*p + 247882 + 806249 - 230038 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/48)\/(((-1701)\/(-144))\/7)*4.\nAnswer: -112\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4679, 4914, 5151, 5390?\n\"Answer: s**2 + 232*s + 4446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*b**2*h**2 - b**2 + 2*b*h + 2 wrt h.\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/5 + 1869564*q\/5 - 373913 = 0.\nAnswer: -1869565, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9351000 rounded to the nearest 100000?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3319423651.\nAnswer: 3319423651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*o**2 + 7 - 12 + 129*o**2.\nAnswer: 33*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/(-198))\/((-10)\/30)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 20. Let f be (1 + 1)\/((-2)\/7). Let k = j + f. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 y when three letters picked without replacement from kffkfkyykky.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/35, -5, -6280.7 in decreasing order.\nAnswer: -3\/35, -5, -6280.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669057 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/6)\/22*3)\/(1025\/82)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*y - 14*y + 63*y + 4 as a*y + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 + 2 - (-5806 + 5863)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.15 + -31. Let j = a - 0.15. What is the closest to 0 in -0.2, j, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783 and 58833?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.7 + 54. Round j to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l + 5. Let u(b) = 2*b**2 + 6*b + 6. Let s(y) = -6*f(y) + 5*u(y). Let c = 4 + -4. Let p(x) = c*x - 3*x + x. Calculate p(s(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1 + sqrt(91) - sqrt(91))*4)\/((-2*sqrt(77))\/sqrt(11)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3869 - 1365. Suppose -14*v = -d - 1528. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 - 295*g**2 - 1850*g - 1560 = 0 for g.\nAnswer: -52, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -920953740 by -42.\nAnswer: 21927470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let m be v(-1). Suppose 3*q = 2*t, t = -m*q + 5*q. What is the nearest to 0.1 in -2\/9, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317721 - 177721. Round a to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4\/5 - 1779*n**3\/5 + 16194*n**2\/5 - 36084*n\/5 + 21672\/5 = 0.\nAnswer: -602, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1817, -64, 1 in ascending order.\nAnswer: -64, 1, 1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) 262069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Let o = -8.5 + 9. Are o and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let n(w) be the first derivative of 4*w**3 + 2. Give n(d(u)).\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200011 - 100?\nAnswer: -22200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 - 152*c - 77. What is s(-24)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 4.709?\nAnswer: -2.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 n when four letters picked without replacement from {v: 2, w: 1, n: 4, x: 2, k: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/14)\/(-4) + (3 - -1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6 = 5*u, j - 5*u - 5 = -17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 224*d**3 + 4*d**2 + d + 8. Let m(h) = -671*h**3 - 11*h**2 - 2*h - 22. Give -4*m(g) - 11*r(g).\nAnswer: 220*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -870. Let w = 431 - s. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349317569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262164 by -30.\nAnswer: 43694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4*f + 5 - 8*f - 2*f**3 - 1. What is the derivative of y(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -18. Let t = l - 14. Suppose 2*z + g = 47, 4*g - 44 - 39 = -t*z. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/(b*b**(-10\/9))))\/b))\/(b*b**9*b))**(-1\/29)\/(b**(-1\/5)*b*b*(b\/b**(-1\/7))\/b)**(-25) assuming b is positive.\nAnswer: b**(89300\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0.45, -0.4, -0.1, -2\/1341, 68?\nAnswer: -2\/1341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.189 times 2689\nAnswer: -508.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -589 - -607. Solve -4*k + 4 = 3*v - 16, 2*v = -5*k + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -1. Let n = 6.1 + 5.5. Let k = -12 + n. What is the smallest value in a, k, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3206 by -315.\nAnswer: -458\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -130619*g - 3. Calculate v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/8)*l*l*l*l**(-9)*l*l)\/(((l*l**3)\/l)\/(l*l**(-7\/3)\/l*l*l*l)) assuming l is positive.\nAnswer: l**(-107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 196295*z**3 - z**2 + 10*z + 4. Let a be t(-3). What is a rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaacajfffaafacaa. Give prob of sequence acjc.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 + 16*i. Let c be r(11). Suppose -3*d - 61 = -5*z - 11, -5*z + c = -2*d. What is the remainder when 50 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 53389 = 204694. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6955697*g**2 - g. Let t(l) = -9*l. Give h(t(s)).\nAnswer: 563411457*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**3 + 2 - 29*x**3 - 62899*x**4 + 3*x**2 + 62894*x**4 as z*x + r*x**2 + h*x**3 + o*x**4 + m and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32033 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 898637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 67*f**2 + 1134*f - 104. Determine x(81).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928959611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(1 - 2)\/((-9)\/(-6)). Does 16 divide 3 - (t - 4) - -79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -10.12. Let y = 13.77 - -0.23. Let v = y - p. Do 1\/4 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 98 = -2*h, 20197*w - 125 = -2*h + 20192*w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1046 or -1045?\nAnswer: -1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*m = 5*i - 7, 3*i = -5*m + 29 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(2*(-3)\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102032012 (base 4) to base 2\nAnswer: -10010001110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -3*t, 0 = 2*f - f + 5*t - 24. Suppose 7 = f*r - 9. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 39\/12)\/((-79)\/109968*-145)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(108))\/sqrt(4)*-4*4 + -3 + -3.\nAnswer: -6 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8488101 (base 9) to base 5.\nAnswer: -2130434001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.729 minus 1.357012?\nAnswer: -39.086012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14))\/(88\/462)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 4778363.\nAnswer: -4\/4778363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.25411mg in nanograms?\nAnswer: 99254110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445280520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-27)*(-30)\/(-1000)*-1*4?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220616053*z**4 + 47756*z**2 - 500*z - 1?\nAnswer: -5294785272*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72791.07 millennia to centuries.\nAnswer: 727910.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -4 + 28. Solve m = -q - a - 2, 15 = -3*q + 3*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*y + 4, -3*w - y + 10 = -0*w. Suppose 0 = w*u - 10 - 10. Put 2, -2, u in increasing order.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -666 + 4*s**3 - 1945 - 1042 + 63083*s - 63107*s with respect to s.\nAnswer: 12*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 20*c + 11 - 28 - 64 + 3*c**2. Let v be m(-6). Let g(i) = -i**2 - i - 2. What is g(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 119*o + 284. Give g(-6).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 487259 and 3326?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (63 - (96 - 66)) + -40\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:45 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 5947?\nAnswer: -594c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 - -263. Which is the third smallest value? (a) 0.4 (b) j (c) 8 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142655010 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 4. Let v(u) = -10*u - 3. Let c(s) = -4*j(s) + 3*v(s). What is c(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/96*1375 - 12\/4. Let y = 7\/48 + a. Calculate the common denominator of y and -1 + (-22)\/(-36)*-5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + (sqrt(1088) - 1*sqrt(1088))))**2 - (-1 + -2 + 2 + sqrt(425)).\nAnswer: -5*sqrt(17) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -116.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**3*r + 214309*m**3 - 26309*m**2*r + 3*m**2 - 2*m - r + 11 wrt m?\nAnswer: -36*r + 1285854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11989 and 3819.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 827 divide 235035131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - 2*w. Let m(h) = 4*h**2 - 3*h. Let d = -15548 + 15552. Calculate d*g(o) - 3*m(o).\nAnswer: 4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = p. Suppose 3*h - 37 = 35. Calculate the highest common factor of p and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 divided by -130?\nAnswer: -213\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7 = v + 2*n, 5*v + n = 20. Factor 0 - 2\/9*z + 2\/9*z**v + 2\/9*z**2 - 2\/9*z**4.\nAnswer: -2*z*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - k**2 - 57 + 4*k**2.\nAnswer: 3*k**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 152144*w**2 - 1427842036*w - 360515834904 = 0. Calculate w.\nAnswer: -246, 19141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -151.\nAnswer: -7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 66. Let p(a) = 3*a**2 - a + 1. Let i be p(1). What is the highest common divisor of i and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*r - r - 279, 0 = 3*h - 5*r - 161. What is the remainder when h is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6120 + 1866598\/305. Let a = -14941\/610 + z. Find the common denominator of a and 2\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by (24\/(-2))\/(-1) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (699*k**3 - 107*k**3 + 3006*k**3)*(-2*k**2 + 5*k**2 - k**2).\nAnswer: 7196*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2061*o*r*z**3 - o*r*z - 87*o*z**3 + o*z**2 + 2*o*z + o - 64*r*z + 7*z + 2 wrt z.\nAnswer: 12366*o*r*z - 522*o*z + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90672653, 90672654, 90672655, 90672656, 90672657, 90672658?\nAnswer: 90672659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2865)\/1146)\/((-1)\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125, -1086, -1047, -1008, -969?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 48 = -5*i. Which is bigger: -10 or i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40874, 81586, 122314, 163064, 203842, 244654, 285506?\nAnswer: 326404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -1\/3, -0.3, 0.4, -5236 in increasing order.\nAnswer: -5236, -3, -1\/3, -0.3, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 + 12*a**3 - 1490*a**2?\nAnswer: -24*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9412, -18953, -28494?\n\"Answer: -9541*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = y + 4*u + 119, 3*y + 2*u = 816. Suppose -109 = -3*k + y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -6. Let h = -9 - p. Solve h = 4*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36238431?\nAnswer: 3, 12079477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4\/5, -3, -67, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h**3 + 9*h**3 - h + 6721 + 4*h - 6719 - 3*h**2 + 2*h to the form y + a*h**3 + d*h**2 + g*h and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 410*c**2 - 9280*c + 64000.\nAnswer: -5*(c - 50)*(c - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -61. Let g be (-105)\/14*(-8)\/6. Let o be (5 - 4) + 5\/g. What is the nearest to 2\/5 in o, u, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5853*o + 3008*o - 385005 - 560506 = 445666 for o.\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -553 + 558. Let u(a) be the second derivative of 2*a - 1\/30*a**4 + 0 - 1\/50*a**r + 0*a**3 + 0*a**2. Factor u(o).\nAnswer: -2*o**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6549*w - 170245. Give u(26).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. Let q be (-58)\/(1\/((-3)\/s)). Let k = q + -18. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1642, 0.3 in ascending order.\nAnswer: 0.3, 0.5, 1642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6149*x + 4. Let b(a) = -44740206*a - 29105. What is 4*b(u) + 29105*c(u)?\nAnswer: 5821*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1)\/((9\/(-3))\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(((o*o**5)\/o)\/o)*o*o**(2\/43)*o assuming o is positive.\nAnswer: o**(2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 344912*m - 7. Let s(v) = -2*v**2. Calculate f(s(i)).\nAnswer: -689824*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2)\/2 - -4. Let p be ((-51)\/5)\/((-1)\/h). Suppose 4*w - 53 - p = 0. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -2.2. Let w = -1 + g. Let z = 0.9 - w. What is the closest to z in -0.1, -4, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 81 - 21 = 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.1 (b) 17 (c) -3 (d) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/120*(-4)\/25*-1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33169 + -33166. Let f be 0*((0 - -1) + -2). Let i(y) = -y**2 - y + 4. Let c be i(f). Which is greater: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 3*k**2 - 2*k**2)*(4 - 1 - 2) + 1039 - 1039 - 223*k**2 as w*k**2 + t + u*k and give w.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 48860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1448 - 32?\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 + 5*b - 4. Suppose -42 = 5*t + 3*r, -2*r + 3*r = 2*t + 8. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. Let f(k) be the third derivative of k**4\/12 - k**3\/3 - 3369*k**2. Calculate f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1240)\/372*(3 + (-138)\/(-28)*-1). Let p be (-1)\/(15\/(-7) + 2). Is a smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 5*x - m, 0 = 11469*x - 11472*x - 6*m + 69 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5\/5 + 4*x**4 - 39*x**3\/5 + 18*x**2\/5.\nAnswer: -x**2*(x - 3)**2*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 56974)*(32 - 44). Round k to the nearest ten thousand.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843182607 - 843182607 + 9*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26261\/539886 + 2\/5293. Calculate the common denominator of n and 99\/4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 14. Let f = r - -10. Factor -j + 3*j**2 - 8*j + 98*j**3 - 93*j**3 + j**f.\nAnswer: j*(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004191915 rounded to six dps?\nAnswer: 0.004192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -3*r + 4*b + 652, -r - 5*b + 314 = 0. Calculate the remainder when r is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 16*o**2 + 12*o + 31. Calculate s(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/42 + (-180)\/(-168)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -544*o**2 + 274*o**2 + 30*o**3 - 2 + 0 + 2*o**4 + 273*o**2 to i*o**2 + m*o**4 + h*o + w + p*o**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91326, 88685, 86044?\n\"Answer: -2641*d + 93967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477 (base 14) to base 15.\nAnswer: -3e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6\/67, 1\/3, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287749 is divided by 47957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 77195\nAnswer: 154390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 5 = 2*v, 2*t = -v + 10. Suppose 24 - 619 = -t*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1276 by 638.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g + 3*s - 7, g - 2 = -2*s. Let c = 1 + 5. What is the least common multiple of c and 4 - (2 - g) - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42015061*g**4 + 4*g**3*p - 3*g**2*p - 95383*g**2 - 23*g*p wrt g.\nAnswer: -1008361464*g + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 3*y, 0 = -2*q + 2*y + 4038. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9160*n - 9742 wrt n.\nAnswer: 9160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Let k = 15\/28 - 2\/7. Let t be (-1)\/(0 - 2\/6). What is the closest to -0.1 in k, t, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 4*l**2 - 4*l**2 - 9 + 3*l**2 - 45 as g + o*l**2 + j*l and give g.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5348*p + 5371*p = -69 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 361, 370, 391, 430, 493, 586, 715?\n\"Answer: s**3 + 2*s + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2999.6, -0.5, -0.6, -10\/9.\nAnswer: -10\/9, -0.6, -0.5, 2999.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxa when four letters picked without replacement from {x: 7, a: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -41*t**2 - 2161641*t + 105446 = 0.\nAnswer: -52723, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -a + 5, 0 = -a - 5*i + 3 - 7. Let c = -2840869\/8408 + 2703\/8. Which is bigger: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.3 + -22.7. What is the fourth smallest value in 3, 0.32, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -3*i + 5*y + 20, -12 = 3*i + 3*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -4 (b) -0.5 (c) 5 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:04 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**6*d\/(d*d\/((((d\/d**(-4)*d)\/d*d*d*d)\/d)\/d)*d))\/(d*d*d**(-7)*d**(-3\/5)))**(5\/3) assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*n - 19, 2*n = -0*n - 2*h - 2. Let v = 17 - 11. What is the third derivative of c**6 - n*c**2 + 6*c**v - c**6 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, f: 2, t: 5}. What is prob of sequence kfft?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1135149 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 119. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3. Let h be a(0). Suppose 30 = 3*p - r, -h*p + 7*p - r = 41. Suppose -s - 55 = -2*s. What is the greatest common factor of s and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2113 or 4223\/2?\nAnswer: 4223\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/56 - 148\/(-210).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -962 + 962. Which is the biggest value? (a) -2\/9 (b) 30 (c) -2\/13 (d) g (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-328)\/(-36) - (-1)\/(-9). Let m be (3 - -1) + -6 + u. Solve 3*w = -5 - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002496 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 = 162. Let p = 404 - 399. Calculate the greatest common divisor of j and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 20 + 34 + 12 + 47)*(-3*g + 5*g + 4*g) to the form k*g + t and give k.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**5 + 225*b**4 + 4089*b**3 - 5481*b**2 - 22344*b - 12996 = 0.\nAnswer: -38, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1684215209 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfxxfgfgxxgxffffx. Give prob of picking 2 x.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13096 + 29450. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 26*l = 17*l + 170714. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -137501, 5, 0.2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/9 - (-2 - -1). Let n be ((-26)\/(-12) - -1) + (-9)\/6. Let h = -20 + 18. Which is the third biggest value? (a) y (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o - 141. Let w(r) = -68*r + 444. What is -2*w(g) - 7*z(g)?\nAnswer: -25*g + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2302.5 - 2331.5. What is the second biggest value in 1\/5, a, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*(1\/((-546)\/532) + (0 - -1))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**2 + 0*u - 7*u**3 + 0*u - 13*u**2 to p*u**3 + c*u**2 + h + z*u and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 5. Let i = 429 + -424. Calculate the remainder when k is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 29*s - 35. What is c(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/(-84)*4*42 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437285.\nAnswer: 5, 19, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132166 = -728*o + 74654 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 15*v + 2. Let p be m(13). Let b be -4*(-2)\/((-32)\/p). What is b rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 71670?\nAnswer: -71667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 5. Suppose 3*j - 3*x + x - 68 = 0, -4*j = z*x - 129. Let t be 9\/(-18) - (-17)\/j. Which is the nearest to -1? (a) 0.2 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12*24\/(-6). What is the units digit of (425\/(-10) - a)\/(2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 902703219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 15130826?\nAnswer: 90784956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1679*b**6 + 8*b**4 - b**3 + 3571*b**2?\nAnswer: 201480*b**3 + 192*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 256*t**2 + 232*t**2 + 361*t**2 - 22*t**2 - 280*t**2. Let k(f) = 3*f. Calculate k(c(a)).\nAnswer: 1641*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*u = 3239, 0 = -4*h - u + 2221 + 4202. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -142552\nAnswer: 8695672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (399\/(-12))\/((-1)\/4). Suppose -r + 5*l - 8 + 7 = 0, r - 39 = -5*l. What is the greatest common divisor of r and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-1)\/2). Let a(r) = r + 1. Suppose -8*d + 6*d = 42. Let g = 20 + d. Let y(v) = v - 1. Determine g*y(i) + m*a(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*5 + sqrt(228) - sqrt(228)) + sqrt(228) + (sqrt(228) - 3*sqrt(228)*-1))\/(sqrt(192)*-1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 1. Let v(b) = 25*b + 3. Let p(k) = 7*q(k) - 3*v(k). Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 795*j**2. Let d(q) = -4348*q**2. What is d(y(z))?\nAnswer: -2748044700*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17875*w**3 - w**2 + w + 2. Suppose 20*y - 25*y = -10. Let r be m(y). What is r rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*q - 2)*(-2*q + 0*q + 0*q) - 1 - q**2 + 1 - 2*q**2 + 5*q**2 + 5*q**2 in the form p*q + c*q**2 + v and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-3)\/sqrt(6))\/(sqrt(1000) - sqrt(1000)*3) - (-6*(sqrt(135)\/sqrt(3) - sqrt(45))*-1*-3)**2.\nAnswer: 3*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -36.8, 1\/52 in decreasing order.\nAnswer: 1\/52, -3\/4, -36.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - u - 44 = -3*u, -3*u + 40 = 4*i. Let t(n) = -n**2 + 17*n - 28. Let f be t(i). Let d be ((-8)\/(-176))\/((5\/f)\/(-5)). Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 + 3540*k - 3544 = 0.\nAnswer: -886, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836792 by -18.\nAnswer: -418396\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*u**3 - 1 + u**5 + 20*u**2 + 196*u**2 + 131*u**3 - 2 - 26*u**3 wrt u.\nAnswer: 60*u**2 + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*y = -y + 6, 4*y + 14 = 5*w. Suppose 5*n = w*s - 39, s + 2*s - 2*n = 53. Suppose 0*m = m - s. What is the remainder when 50 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 114 + 6. Let q be 1*(7 - -2)\/1. Is q < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = 10. Let b(t) = -8*t - 30. Let h be b(i). Suppose 3*o = 5*o - 42. Calculate the highest common factor of h and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f - 9. Let p be a(7). Suppose -p = -4*w + 7. Suppose -4*o = -5*o - w. Is o at least 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 12*a - 5, 3*c + 4*a = 19. Let q(i) = 3*i**2 + 19*i - 40. Does 13 divide q(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/54)\/((-4)\/(-2)). Let y = -3.08 - -0.08. Which is the nearest to y? (a) 3 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8348 and 18.\nAnswer: 75132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 149 = -3*l, -5*l = -3*l - 5*d - 96. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 975000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24\/(-36)*(-44*14 - 2) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 1471*l + 115942. Calculate n(75).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7*s - 5. Let q = -201.5 + 202. Which is the biggest value? (a) s (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 763a - -5?\nAnswer: 7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmmmmmmmmm. Give prob of picking 1 b and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(24\/(-18))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 355587 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -648? (a) 4108 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80769 - -328789\/4. Let i = 1420 - h. Let r = 11891\/2 - 5933. What is the common denominator of r and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v**2 - 3*v + 6*v - 9*v + 23*v + 26*v.\nAnswer: -77*v**2 + 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 3:09 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6)\/16*-12*10*(-221)\/(-65) and 63?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**5\/30 + 7*c**4\/4 + 37*c**3\/6 - 2*c**2 + 3*c - 19. What is o(22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -11. What is the lowest common multiple of l and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000264914768 rounded to six decimal places?\nAnswer: -0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 k when three letters picked without replacement from {a: 4, k: 10, j: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(500) - sqrt(500)*-1).\nAnswer: -200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a tonne in kilograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 12\/7 (b) 9\/2 (c) 257025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2\/3 + 436*a\/3 = 0.\nAnswer: 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(720) + -3 + sqrt(720) + (4 + sqrt(5) + sqrt(5)*1 - sqrt(5)))*-4)**2.\nAnswer: 20000*sqrt(5) + 1250400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 43*v**3\/2 + 171*v**2 + 720*v.\nAnswer: v*(v - 30)*(v - 16)*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46771?\nAnswer: 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 6*z - 8. Let p be g(-6). Let a = p - -12. Let t be (-4924)\/a + (-2)\/(-16). What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -336704 bigger than -336699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-90)*(-35)\/(-10) + (-528)\/20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41251 - 13544?\nAnswer: -55125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11a5053 - 6?\nAnswer: -11a5059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.052 - -0.892. Let p = -0.84000611 + x. Round p to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r - 2*r**2 + (2*r + 4 - 4)*(0*r - 2*r + 0*r) - 493*r**2 + 20*r**2 - 193*r**2 + 3 - 5 + 2*r**2 + 1.\nAnswer: -670*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 24*r**3\/5 - 2*r**2\/5 - 216*r\/5 + 18\/5 = 0.\nAnswer: -3, 1\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w - 60*w + 20*w - 1)*(6*w - 3*w - 2*w) + 3303*w**2 + 3295*w**2 - 6819*w**2 to the form j + k*w**2 + v*w and give k.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 19 = q, -2*q + 3 = f + 5. Does 16 divide 2*(-6)\/f + 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 1 - -3)*5. Let m = j + 1. Suppose -2*t + 21 = -m*w + 7*w, 0 = 5*t. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32753814?\nAnswer: 2, 3, 5458969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2 (c) 31 (d) 18 (e) -3\/7 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 200. Let x = h - -187. What are the prime factors of x?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -14. Let y(u) = 0 + 3*u - u + l. Let c = -114 - -109. What is y(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 733331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c - 3. Suppose 50*p - 45*p = 120. Suppose 0 = 3*h - 9 - p. Put c, h, 5 in ascending order.\nAnswer: c, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 + 8)\/((-3)\/73).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(26\/((-6552)\/525)) + (-4)\/(-10). Let y(i) = i**3 + 14*i**2 - i - 4. Let l be y(-14). Solve 0 = o*j - 12*j + l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -10979?\nAnswer: -10974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7491242 - 5?\nAnswer: 7491238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saxxaasxxxxx. Give prob of sequence xsax.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996.585 years to months.\nAnswer: 11959.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n**2 - 87653214*n + 87653214*n.\nAnswer: -47*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*7\/21*-309*(-2)\/(-6). Calculate the greatest common factor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/33 - 1255\/(-55) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 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 p(c) = 2*c**2. Let t(i) = -5*i**2 - 2*i + 2. Let v(w) = -w**2 - w + 1. Let h(b) = -3*t(b) + 6*v(b). What is h(p(n))?\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4936.2 - -13.6.\nAnswer: -4922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6877747 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 7143764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:52 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/37242 and 25\/24828.\nAnswer: 74484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x - 7. Let u be b(4). Suppose -4 = -u*i - 2*d, 2*i - 12 = -i + 2*d. Solve 0*a - i*a = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-4))\/(3\/(-6)) + -6. Let j be 17 + 18\/n - 5. Solve -c + 4*c = -j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37972.84ug to nanograms.\nAnswer: 37972840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.358846 rounded to 3 dps?\nAnswer: 1.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 145 times -0.1\nAnswer: -14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 2, -4, -2\/1165 in descending order.\nAnswer: 2, 5\/3, -2\/1165, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - (5 + -5 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 + 3 = -2*g, 2*g - 8 = 0. Let d be (k\/(-4))\/(5\/(-60)). Let q = 7 + d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + -3 + ((sqrt(396) + (2*sqrt(396))**2 - sqrt(396)) + sqrt(396) - sqrt(396) - sqrt(396)).\nAnswer: -6*sqrt(11) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**2*r - 675*i**2 + 4*i*r - 9*i + 522704*r + 10 wrt i.\nAnswer: -12*i*r - 1350*i + 4*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39717 + 63153. List the prime factors of r.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127 * 0.4.\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 15 + 6)*(3 + 2*x**4 - 3 + x**3).\nAnswer: 76*x**4 + 38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12c8 + 2d?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/35 + 59\/210. Which is the second biggest value? (a) x (b) -2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.65 to 1 dp.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1383.76 - -1372.76. Let b(x) = x**2 + 3*x - 5. Let h be b(-4). What is the third smallest value in l, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1740 and 286665?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.493962 rounded to one dp?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1655 - 0.2\nAnswer: 1654.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 38 = 52. Solve 0 = -2*p + d + 6 - 3, l*d - 45 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -91 (b) 5 (c) 48096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.807502ug to kilograms.\nAnswer: 0.000000004807502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from bdzzmmozmmdzom?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 58. What is m(-21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2286 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-20))))\/((w**(1\/9)\/w)\/w)*((w\/(w**(1\/19)\/w))\/w)**(2\/89) assuming w is positive.\nAnswer: w**(-260090\/15219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*1058970.\nAnswer: 36004980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-224))\/(-5*33\/(-1760))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and 119\/1728.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1210))\/(sqrt(5) - sqrt(90)\/sqrt(2)) + -5.\nAnswer: -5 + 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684.4*0.3.\nAnswer: -205.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 7*a - 9*a**2 + 3*a.\nAnswer: -9*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -21325380.4 to the nearest 1000.\nAnswer: -21325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 2.11. What is the nearest to 0.1 in 5, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**2 + 176*z + 408. What is v(-7)?\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14391)\/(-162) + (-10)\/12 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*d**3 + 319*d**3 - 960*d**3 + 330*d**3.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 1 (c) 5 (d) 3.9 (e) -1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 3\/4 (c) -3\/2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 10*c - 7. Let l be -1 + (-1 - -3) + 10. Let d be i(l). Solve y - d = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/57 (b) 2\/7 (c) -0.01 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -9 - (-94 - -114) - (11 + -135)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.07 (b) -5\/4 (c) 5 (d) 0.0257 (e) -0.3 (f) -2\/5 (g) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/12 + 23\/5. Which is bigger: -0.98 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -331, -746, -1327, -2074, -2987?\n\"Answer: -83*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5060, -19093, -42498, -75275, -117424, -168945, -229838?\nAnswer: -300103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86798874, -173597750, -260396626, -347195502, -433994378, -520793254?\n\"Answer: -86798876*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*y + 42 - 26 + 34, -8*y - 32 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 11, x: 1}. Give prob of picking 4 m.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v - 15. Find p such that -p**v + p + 1\/3*p**2 - 2\/3 + 1\/3*p**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40060462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.603 - -458.603. Let g = y + -460. Put 0.4, 2\/3, 11\/4, g in descending order.\nAnswer: 11\/4, 2\/3, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 4. Let f(j) = -j**2 + 1. Let o = 97 + -29. Suppose -o = -2*s - 26. Suppose -s = 4*c - 3*h, -2*c = -0*h + 4*h - 6. Give c*f(k) - b(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1035451, -1035598, -1035745, -1035892?\n\"Answer: -147*v - 1035304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/7)\/g)\/g)**(1\/5)*(g\/g**(-1))**13)\/((g\/(((g*g*g\/(g**(1\/6)*g*g)*g)\/g)\/g)*g\/((g*g**(1\/10))\/g))\/(g\/(g**(-2)\/g))**11) assuming g is positive.\nAnswer: g**(1417\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*g**3*x**4 + 11*g**3*x + g**2*x + 9*g*x**5 - 2*g*x wrt x.\nAnswer: 228*g**3*x**2 + 180*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/5 - 6) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 16) to base 5\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154100 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 * -286047.3\nAnswer: 2545820.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t. Suppose 0 = -5*w + 5*j - j + 60, t = -4*w + 5*j + 39. Let x(b) = 11*b - 2. What is the remainder when x(3) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(3\/13)*m*(m\/(m**(1\/2)*m*m))\/m*m assuming m is positive.\nAnswer: m**(33\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100122 + 130?\nAnswer: 100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b + 2. Let c = b + 12. Solve l + v = -c, -v + 8 = -3*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*o + n, -2*o = n + 2*n + 15. List the prime factors of 54\/4 - o\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i + 3\/4*i**2 + 75.\nAnswer: 3*(i - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91554990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/25)\/(12\/10*24\/240)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + ((-12)\/(2 + 1))\/(-1). Suppose 0 = q + m - 589, -m + c = 13. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -29256?\nAnswer: 29263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + y)*(1 - 1 - 2) - y + 26*y + 8*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 4. Let h be x(3). Suppose -2*d - 50 = 2*i, 2*d + 35 = -0*d + i. Let l = d + 26. Solve b = -2*p - l, -3*p - h*p = -5*b + 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61858\/3 + 4783609\/232. Let y = l - 4\/87. Let t = 34474\/1389 - -13\/926. What is the common denominator of y and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.311 - -65.911. Let z = k + -56. Let l = z + -10. Which is the second smallest value? (a) l (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8915945 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5150*p**2 - 412*p. Let m(k) = -101*k**2 - 8*k. Let n(v) = -2*a(v) + 103*m(v). Let z(t) = -t**2. Give n(z(l)).\nAnswer: -103*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -446? (a) 8 (b) -5 (c) 85 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/80 and -33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254787*p - 871 + 447 - 254789*p + 424.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 7. Let x = -6 + 9. Let m be b(x). Suppose 5*t - 19 = 11. Calculate the highest common divisor of m and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72100745.\nAnswer: 5, 23, 626963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a factor of 4178988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 - 127 = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6809 and -4472.\nAnswer: -7516.9848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 20 = 0. Suppose -n*k + 0*k + 35 = 0. Let u(m) = 9*m**2 + 3*m + 4. Let q(t) = 5*t**2 + 2*t + 2. Calculate k*q(x) - 4*u(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - 0 - 5) + 13. Solve -28 = -b*k + 5*l - 8, 6 = -l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3 - 35\/(-15)). Find the third derivative of -10*p**3 - 2*p**5 + o*p**3 - 6*p**2 + 4*p**3 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 d when four letters picked without replacement from ddddyydddyiii.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-2 - 6)\/(-32)*(-4)\/(-14). Which is the third smallest value? (a) -5 (b) 0 (c) u (d) 1\/7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3154*a**3*i**2*k - 23*a**3*i*k + 34*a**3*i - 6*a**3*k**2 - 2672*a**2*i**2*k**2 - 2*a**2*i*k - a*k**2 + 2*a wrt i?\nAnswer: 6308*a**3*k - 5344*a**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g + 311 = -719*g - 4197 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000002752 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 120756*m - 120755. Determine h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000609532 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 57 = -502 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12054 and 209223.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6.5888 * 2288\nAnswer: 15075.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 11. Let w be p(-11). Suppose -4*m - 5*q + 2 + 6 = w, 3*q + 19 = m. What is the units digit of (2 + (-1 - m))*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 907.\nAnswer: 6349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82816310729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/128 and 79\/2554272.\nAnswer: 10217088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 14 = -6*m, -5*m + 32*j + 105 = -30*j + 67*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvovbmi. Give prob of sequence vmbi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(91)*2 - sqrt(91) - sqrt(91))\/sqrt(7) + (sqrt(104) - (sqrt(104) + (sqrt(104) - sqrt(104)*2)*4 - sqrt(104)))\/sqrt(8).\nAnswer: 5 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 1591980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 171*h**2\/5 + 942*h\/5 - 1224\/5.\nAnswer: 3*(h - 51)*(h - 4)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391308833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82638 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uww when three letters picked without replacement from {c: 3, u: 3, w: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 622.7937 kilometers?\nAnswer: 622793700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 588.8807kg?\nAnswer: 588880700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1751006872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 14*v**2 + 8*v**2)*((-v + 0 + 0)*(v + 4*v + 5*v) - 2*v - v**2 - v - 2*v**2).\nAnswer: 117*v**4 + 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8544531.\nAnswer: 3, 29, 98213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 0*h**2 + 0*h + 5 - h. Suppose -2*c = -2*u - 2, 3*u + 3 = 6*c - 2*c. What is the units digit of q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - 5*q**3\/6 + 9*q**2 - 13*q. Determine p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - 3) + 54 - -14\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-4)\/(-10))\/1. Let x = 130 + -227. Let u = x - -483\/5. Is n at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10150101 equal to -10150099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 128.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3828 and -47\/2387628?\nAnswer: 26263908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/((-12)\/3 + 5). Let m = c + -22. Let s(f) = -f + 2. Let j(u) = -2*u + 3. Determine m*j(w) + 4*s(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -777026200*b**4*d**2 - 771230193*d**2 wrt b?\nAnswer: -3108104800*b**3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 0.2, -5\/4, 2\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Suppose -d*a + 4*a - 3 = 0. Let v be (9 - 0) + 0 + 1. Solve -2*m + 8 = a*s, 3*s + 4*m - v = 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:46 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u - 110 = -77*u + 5*r, -3*r = 5*u - 62. Let o(m) = 7*m - 103. Determine o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8279, 8299, 8307, 8303?\nAnswer: 8287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (208*i + 480*i - 148*i)*(-2*i**3 + 4*i**3 - 3*i**3) in the form d*i**3 + a*i**2 + n + r*i**4 + w*i and give r.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57772, -62895, -68018, -73141?\n\"Answer: -5123*o - 52649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 966167 and 7396.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - 9 - -1) - 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/40*-4*((-36)\/(-6))\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sas. Give prob of sequence ssa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5324874.\nAnswer: 2\/2662437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(64\/(-66)))\/(6\/(-20))*52618\/(-263090)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.9558 - 0.0442. What is the third biggest value in -2, b, 4, -32\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)\/n)**(1\/17) assuming n is positive.\nAnswer: n**(1\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2*y**3 + 2*i**2*y**2 + 116964*i*y**5 + 3*y**3 - 722204*y**2 wrt y.\nAnswer: -6*i**2 + 7017840*i*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 2, -84, 5, -20 in ascending order.\nAnswer: -84, -20, -5, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 435, 831, 1225, 1617, 2007, 2395, 2781?\n\"Answer: -q**2 + 399*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 7 = 16. Suppose -4*o - 1339 = l*u - 351, 5*u - 988 = 4*o. Let m = o - -376. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 104\/(-78) + 116\/42. Let b = 0.267 + 0.033. Are b and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + (13 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -13, -0.29, -2, 0, 12?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*w - 47, 4*w - 23 = -3*l + 34. Solve 0 = -5*v - 0*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 3430812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72802 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 91. Let v be a(19). Determine r, given that 4\/9 + 56\/9*r**v - 20\/3*r**2 + 2\/9*r - 2\/9*r**3 = 0.\nAnswer: -1, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 39*w - 21 = 37*w, 2*w - 35 = -5*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3848 + c + c**2 + 0*c**2 + 0*c**2 - 4*c - 3*c**3.\nAnswer: -3*c**3 + c**2 - 3*c - 3848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.73562 milliseconds to minutes.\nAnswer: 0.003128927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 11*n - 12. Suppose -4*f = -2*m + 16, n = -4*m + 2*f + 17. Let u(q) = 15*q - 13. What is the units digit of u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 - 454 = -35*x. Let z be 28 - x - 4*-2. Solve 5*g + 3*a = -2*a + 5, 0 = -3*g + z*a - 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241940427.\nAnswer: 3, 23, 3506383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*v**5 + 9*v**3 - 5*v**2 + 1723*v + 1064 wrt v.\nAnswer: -680*v**3 + 54*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 17 - 8*v**2 + 3 - 5 - 6 in the form d*v**2 + s + m*v and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-228)\/(-15))\/(4\/10). Suppose 16 + p = v. Suppose 0 = -4*d - 6 + v. What is the greatest common divisor of 96 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39624.\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201037.\nAnswer: 201037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -69*y**2 - 1279*y + 2. Let w(c) = -2*c. What is s(w(q))?\nAnswer: -276*q**2 + 2558*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0892*60.\nAnswer: 5.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f + 13619. Let p(d) = -169*d**2. Calculate t(p(a)).\nAnswer: 676*a**2 + 13619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165\/3147 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1, -3, -9, -17, -27?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12147 is divided by 5971.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 19 - (-7 + (2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 707301440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + 5.9. Let x = h - 6. Let g = -0.3 - -0.2. Which is the nearest to g? (a) -3 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 454 - 178. Let g(p) = -21*p + 337. Let w be g(15). Suppose j = 5*n - 2*c, -2*n + 95 = -3*c - w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*h*i**2*k - 2551245*h*i**2 - 168569*h*i*k - 18*h*i + i**2*k + i*k wrt i?\nAnswer: -18*h*k - 5102490*h + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**4 + 6782*x**3 - 22522*x**2 - 20294*x + 9016 = 0.\nAnswer: -1, 1\/3, 4, 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) -5 (c) 0.2 (d) 2\/4681\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w**3 - 268*w**2 - 656*w + 768 = 0.\nAnswer: -16, -4, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6916 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/6 - (1 + 5))*(-16)\/(-104)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c - 42*c + 21*c**2 - 8*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 9484\nAnswer: -105\/9484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 15. Let i be u(6). What is the greatest common divisor of i and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -18.9. Let w = 2 + -4. Let s = l + w. Which is the closest to -1? (a) -0.2 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2*-3*sqrt(180) - sqrt(180)) + -1 - (4 + (sqrt(180) - (3 + sqrt(180) - sqrt(180))*-5)).\nAnswer: -42*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 684336 or 684262?\nAnswer: 684336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)*w**(-6))\/(((w*w**6)\/w)\/w**(2\/13)))\/(((w*w\/w**(5\/6)*w*w)\/(w*(w\/(w*w*(w*w*w**7*w*w)\/w))\/w))\/(w\/w**(3\/5)*w*w**(-2\/7)*w)) assuming w is positive.\nAnswer: w**(-67973\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1183 - z + 602 + 2*z**3 - 26*z**4 + 594 + 2*z**2 in the form k + d*z**4 + s*z + m*z**3 + a*z**2 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/3)\/((-12)\/36*2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8933148 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/684*12*-63.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -880827 and 5068.8454.\nAnswer: -875758.1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1664, -1897, -2130, -2363, -2596?\n\"Answer: -233*i - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 178 + 1042 + 1956 = 0. What is the remainder when u is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909352116424 plus 37?\nAnswer: 3909352116461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 170 - -3?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 852*l**2 + 60492*l.\nAnswer: 3*l*(l - 142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254\/6 + (-9)\/27.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 > 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 7 + 151)*(3*f - 3*f + f**2) in the form g*f**2 + x*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssgjddssgddssdgg. What is prob of sequence sjd?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/7 + 35585562*v + 249098936\/7 = 0.\nAnswer: -1, 124549468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*h**5 - h**4 + 11140*h**3 - 52369257*h**2 wrt h?\nAnswer: -9300*h**2 - 24*h + 66840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 124414640. Let a be h(0). Let n = -66814641 - a. Suppose 4*f - r = n, -2*f - r = 3*f - 72000001. Round f to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 323*i - 247. What are the prime factors of b(2)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 339711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 7*y + 16, 4 = -5*v - 4*y + 8*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33\/39 - 8\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -36*j**2 + 3*j - 4. Let d(w) = -17*w**2 + w - 2. Give -9*d(p) + 4*g(p).\nAnswer: 9*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877285297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -66, -125, -202, -303, -434, -601?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-140)\/12. Let l = 17 - s. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-15)*f)*f\/(f\/(f*((f*f**(-11))\/f*f*f*f)\/f)*f))\/(((f\/(f\/(f*f**(1\/3)))*f)\/f)\/f)**15 assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -71*v + 47. Let p(f) = 86*f - 56. Let b(k) = -5*p(k) - 6*z(k). Suppose -2*u = -6*u - 12. Calculate b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 2766 = -1128. Let k be 2\/(-9) + 29861\/m. Suppose 66*j - 67*j = -k. What are the prime factors of j?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 484 from -2761.24505.\nAnswer: -3245.24505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p + 1. Let u(t) = -7*t**3 + 5*t**2 - 12*t - 1. Let k(z) = 6*j(z) + u(z). Let g be (-2)\/(-6) + (-11)\/(-3). Calculate k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16816)\/(-15765))\/(9\/(-30)*4).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280713463 to the nearest integer?\nAnswer: 16755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18274, -18277, -18280?\nAnswer: -18283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/9)\/t)\/(t*t**(1\/6)*t*t))\/(((t\/(t\/(t*t**6)*t*t))\/t)\/t**(1\/9))*((t**(-4)\/t)\/t)\/(t**3\/t)*t**2*t**(-6) assuming t is positive.\nAnswer: t**(-347\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-3)\/3 + 0). Suppose 0 = -4*c - 4*f + 24, -3 = -o*c - 2*f + 27. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6988112024 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/(2\/18). Suppose v + 3*j = 10, 5*v + j - c*j + 18 = 0. What are the prime factors of v\/(-2*3\/36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -110?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a factor of 1217260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122326 is divided by 856?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/85 and 45\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 2*x)*(-2*x + 1 - 1) + 0*x + x**2 + 0*x - 22*x + 22*x + 197*x**2.\nAnswer: 202*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-20) - (-2)\/(-5). Suppose 0 = -w*i + 3*i - 24. What is the second derivative of -7*v**2 + 13*v - 8*v - 5*v**2 + i*v wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhvhwvwhdwwxwdw. Give prob of sequence vrd.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 64*u**3 + 2*u**2 - u. What is the remainder when k(1) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -304, 51, 1008, 2867, 5928, 10491, 16856, 25323?\n\"Answer: 50*n**3 + n**2 + 2*n - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 330456.78 rounded to the nearest one thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b. Let a be (-11)\/4*24\/(-6). Let f = a - 15. Let z be v(f). Let n(h) = -h + 7. What is n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7475375 < -7475390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*j + 36, 3*j + 55 - 3 = -s. Let x be j\/168 + 325\/105. Solve -4*z = 4*a - 4, x*a = -2*a + 4*z - 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 73, 307, 755, 1489, 2581?\nAnswer: 4103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 4\/7*l + 2 - 13\/7*l**2 - 23\/14*l**4 + 2\/5*l**5 + 18\/7*l**3. Factor a(x).\nAnswer: 2*(x - 1)**3*(7*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3174, 12432, 27768, 49176, 76650?\n\"Answer: -o**3 + 3045*o**2 + 130*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/19 (b) -2 (c) -4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.6 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27) + (-172)\/(-36) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*c*t**5 + 4*c*t**4 + c*t + 37*c + 5*t wrt t?\nAnswer: 2760*c*t**3 + 48*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 + 20*n**3 + n**2 - 4*n**4 - 5*n - 5*n**3 - 4*n**3 - n - 2 to h*n**2 + y*n**4 + u*n**3 + f + g*n and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 983134 * -0.54.\nAnswer: -530892.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10563 by -6.\nAnswer: 3521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**(1\/4))\/j))**(3\/7)\/((j*j**(-5)*j)\/j**(-1\/2)) assuming j is positive.\nAnswer: j**(85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:34 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 11*c**2 - 6. Determine x(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 409, -1 in descending order.\nAnswer: 409, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9638 and 21838?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 70. Let k = -20 + b. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5903 + -6677.6. Let u = m + 775. Let d = -11.21 - -0.21. Which is the third smallest value? (a) d (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*x - 28. Let z be (9 - 2)*70*x. Suppose z = 16*b - 8*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 3*f**2 - 36*f + 32.\nAnswer: (f - 4)*(f - 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqlqpriqfqqqrfiq. What is prob of picking 2 f and 1 q?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -55. Suppose -7*i = -40 + r. Solve 3*h - 3*w = 27, h + i*w + 12 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 17. Let z = -40 + 47. Calculate b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*z - 8 - 22, 0 = -3*z - 2*c + 2. Let b(s) = -s**3 + 5*s**2 - 2*s - 5. Calculate b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 2*b**2 + 3*b + 3. Suppose 0 = -2*w - 7 + 3. Give c(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 - a**3 - a**3)*(-3 + 2 - 1)*(2*a + 1 - 1)*(-23 - 41 - 34).\nAnswer: 1176*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 582, 680, 778, 876, 974, 1072?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose -2*d + 23 + 477 = j. What is the highest common divisor of 100 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((((-2*sqrt(112))\/sqrt(8))\/sqrt(7) - sqrt(18)\/(5*-2*sqrt(9))) + 5).\nAnswer: -5 + 19*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*f = 16587 + 53041. Calculate the remainder when f is divided by (-2)\/5 + (-277)\/(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3267*s**3 - 3168*s**2 - 393*s\/4 - 3\/4 = 0.\nAnswer: -1\/66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-49)\/(1 - 8) + -1*(1 - 135). Which is greater: l or 140?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + 2*t**3 - t**2 - t - 2. Give b(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4020032 and -771.9183?\nAnswer: 4019260.0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 136116 and 69?\nAnswer: 9392004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31672 by 4.\nAnswer: -7918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*(15*w**2 - 4*w**2 + 8*w**2)*(-4*w + 2*w + 4*w) as m*w + h*w**3 + y*w**2 + z and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cssssscccscss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 0*u - 2*u)*(129*u + 184*u - 93*u)*(u - u - 2*u) in the form w + t*u**3 + b*u**2 + a*u and give t.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -51*l + 1. Is v(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(108) - sqrt(108)\/(sqrt(18)\/sqrt(2)))\/((-1*sqrt(300))\/sqrt(2)).\nAnswer: -8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a - 28. Calculate j(9).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 9*s**2 + 1460*s**3 + 1477*s**3.\nAnswer: 2937*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*k**3 + 263089*k**2 + 217323634*k.\nAnswer: 594*k + 526178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-34) + 3\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (10 - (-21 - -49)) - 77?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 916773*h*v**2 + 2932666*h wrt v.\nAnswer: 1833546*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) -94 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 3 + 3*h**3 + 38*h**2 - 3*h**3 - 43*h**2. Let i be q(5). Factor -192 + 4*g**2 - 16*g**2 - 24*g**2 + 144*g + g**3 + 2*g**i.\nAnswer: 3*(g - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580 minus 0.247477584?\nAnswer: 1579.752522416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 23*b**2 - 20*b + 45. Calculate u(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 143 - -142833?\nAnswer: 142976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.57 * 0.38.\nAnswer: 2.1166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 7*f = -3*f - 20, -3*f = 2*m - 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/62*92\/115.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/7)*(z\/z**(3\/5))\/z)\/(z\/(z\/(z\/z**(-1\/2))*z*z*z))**(-14\/9))**(2\/21) assuming z is positive.\nAnswer: z**(-586\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 11) to base 10.\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*q - 2*q + 15 = 0, w = -3*q + 9. Let p = -18 - -164\/9. Which is the nearest to w? (a) 0 (b) 3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*u = 16, -19*c + 1129 - 1137 = 2*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - m**2 - m. Let p(j) = 108*j + 110*j - 332*j - 5*j**2 + 110*j. What is p(h) - 3*v(h)?\nAnswer: 3*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/12 - 7*u**4\/12 + 7*u**3\/6 - 26*u**2. Suppose 7*z - z - 54 = 0. Does 26 divide w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/(75\/(-6600)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = g - 3*g, 2*v - g - 12 = 0. Suppose -v + 2 = -d. Let a(n) = 2*n**2 - 5*n - 3. Let q be a(d). Solve 2*r + 4*k + q = -5, 3*k = 4*r - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 25. Suppose -4*z - o = 4*t, 3*z + 3 = -0*t - t. Solve 4*q - 20 + 8 = z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -32*y. Let d(p) = -73 - 107 + 180 - 28*p**2. Calculate d(a(b)).\nAnswer: -28672*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140422 + -30?\nAnswer: 140352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 - 6*q + 2. Let m(l) = 12*l**2 + 12*l - 5. Let t(f) = 4*m(f) + 7*x(f). Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.00035 + -295.69965. Let t = 312 + h. Let o = t - 16. What is the nearest to o in -2\/7, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 35 = 4*o. Suppose 2*c = 6*c - 3*a - 151, o*a + 153 = 4*c. Let x = c - 25. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11628602*h**2 + 59*h + 26. Let o be n(-6). What is o rounded to the nearest 1000000?\nAnswer: -419000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:32 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936)*-3)\/(sqrt(10)\/sqrt(80)).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1592*s - 370*s - 189*s - 67*s.\nAnswer: -2218*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6126330049?\nAnswer: 7, 53, 2377, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/98*2\/(-16)*-4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*a - 354, -3*a + 327 = x + 2*a. Let n = x + -210. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*y - 10, 5040*y - 20 = -4*i + i + 5044*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 4, 1, -2.\nAnswer: -157, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 908123 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 721.408265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4102895, -8205791, -12308687, -16411583?\nAnswer: -20514479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850*r = -33101 - 199 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let t(w) = -3*w. Let h(d) = 5*c(d) + 3*t(d). Let z(u) = 4*u + 3. Let g(o) = -h(o) - z(o). Is 15 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74746814 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 - 6*f - 3. Suppose -3*z - 15 = -42. Let q(w) = -7*w**2 + 11 - z + 5*w + w**2. Let k(v) = 3*q(v) + 2*y(v). Determine k(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3763 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56 from 9.24.\nAnswer: 65.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + k - 3. Let w(x) = x**2 - 1. Let g(u) = -2*n(u) + 5*w(u). Let r(i) be the first derivative of g(i). List the prime factors of r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s + 2 - 2)*(2*s + 0*s - s) - s - s**2 + s)*(-278 + 56*s + 278) to the form m + f*s**3 + x*s**2 + q*s and give f.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 3, -1, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 74, 28, 1, -37.\nAnswer: -37, 1, 4, 28, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 5*f**5 + f**5 + 5*f**5 - 16*f**5 - 10*f**5 + (-2*f**3 + 2*f**3 + 2*f**3)*(-3*f**2 - f**2 + 2*f**2).\nAnswer: -27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21080790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9669, -9656, -9629, -9582, -9509?\n\"Answer: d**3 + d**2 + 3*d - 9674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 320, -4, -1, -18 in increasing order.\nAnswer: -18, -4, -1, 5, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -3*l, -3*j = 2*l - 5*j - 6. Suppose 6*k = l*k + s - 17, 2 = -2*k - 4*s. Let n = -0.02 - 0.28. What is the smallest value in n, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttaatgjjzzgta. What is prob of picking 1 a and 3 t?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(2619*p**2 + 150*p + 1133*p**2 - 311*p + 161*p).\nAnswer: -7504*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 6*z + 11. Let t be v(-5). Let w(l) = l - 13*l + 5 - t. Calculate w(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(12\/(-1)))\/(56*(5576\/861)\/(-68)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -202.529.\nAnswer: -60.7587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = 5. Let d = a + -5. Suppose 2 = -d*y + 6. Which is smaller: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/4 + 57*a - 2871\/4 = 0.\nAnswer: -87, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(8551235\/777381 + -11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 14)*(-19*i**2 + 19*i**2 + 39*i**3).\nAnswer: 468*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 9 + 1 - 26*b**3 + 30 - 9*b**2 + 29*b**3. Let c be r(7). Calculate the highest common factor of 59 and c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - (540\/(-25))\/6. Suppose -x*t + 2*r - 3 = -1, -5 = -5*t + r. Put 3, -5, -3, t in descending order.\nAnswer: 3, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1abb4 + -1a?\nAnswer: 1ab96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555559947*p**5 - 533166542*p**2 wrt p?\nAnswer: -33333596820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 238587*m**2\/7 - 681617*m\/7 - 102243\/7 = 0 for m.\nAnswer: -1\/7, 3, 34081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238640766 to the power of 1\/2, to the nearest integer?\nAnswer: 15448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -39*m + 687. What is k(18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22332 plus 0.055624?\nAnswer: 22332.055624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 4*w**2 - 4*w - 8. Let n(d) = d**3 + d. Let o be 0 - (-2 - (-2)\/(0 - -2)). Let t(y) = o*g(y) + n(y). What is the tens digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.2 - 171.2. Let d = -155.7 - m. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from oobmbbbmbbbooobubo.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938 = 193*f + 1935 + 22 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/4)\/((-16)\/64). Suppose -9 = -z - 2*f, 0*f = 4*z - f. Let s = -3 + z. Sort 3, w, s in decreasing order.\nAnswer: 3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2 + (78 - -1)). Let l = m - -110\/81. Sort l, 2, 2\/19 in decreasing order.\nAnswer: 2, l, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2970 and 495?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11 and 48\/1415.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 232*o\/3 - 6728\/3.\nAnswer: -2*(o - 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3 - 3 + 3 - 6*u**2 + 15*u - 7*u. Let l(a) = 0*a + 7857*a**2 - 1 - 7855*a**2 - 3*a. Calculate 4*k(n) + 11*l(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2)\/(16\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 6*n + 121 - 2*n + 5*n - 123.\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 65. Suppose 2*i + i = g. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let m = 179 - 174. Which is the closest to 0.2? (a) m (b) o (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 251 - 246. Suppose -228 + 28 = -p*j. Calculate the least common multiple of 20 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - z. Let j = -276 + 277. Suppose -l + 14 = 3*n, 5*l + 5*n - 31 = -j. Give g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6154, -12411, -18744, -25153, -31638, -38199?\n\"Answer: -38*u**2 - 6143*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 1734963?\nAnswer: -1734972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z**2 - 14*z - 11. What is k(-5)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.4 + 38.6. What is the fourth biggest value in j, -1\/5, 5, -2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133+355706\nAnswer: 355573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 3 - (-1 - -6). Let j = 14 + t. Suppose 4*w - 4*l - 368 = 0, 430 = 5*w - 2*l + 3*l. What is the remainder when w is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, b: 2}. Give prob of sequence bbn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 4041.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t**2 + t**3 - 10*t**2 - 5 + t. Let f be v(0). Let b(o) = o**3 + 5*o**2 - 2*o - 1. Let z be b(f). Solve 3*w + z = 3*d, -3*w + 5 = 6*d - 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:21 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6 - 6. Let v(k) = -k**3 + 7*k**2 - 4*k - 9. Let b be v(m). Let g(n) = 4*n**2 + b*n**2 - 3*n - n - 8*n**2 + 5. Determine g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/7 - 6*p**3 - 180*p**2\/7 - 216*p\/7.\nAnswer: -3*p*(p + 2)*(p + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 216\/286 + ((-390)\/(-169))\/15. Let s = 13 + -12.8. What is the closest to d in s, 0.1, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 15405883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:14 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 237 + 175 + 0*a**2 - 412 + a. Let j(g) = 12*g**2 + 3*g + 3. What is j(u) - 5*q(u)?\nAnswer: 7*u**2 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. What is the nearest to -0.1 in 2, 4, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = 3*i, -3*k - 12 - 10 = -4*i. Solve -i*l + 18 = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*i - 67*i + 140*i + 5.\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i*i**(-2\/7)*i)\/i)\/i)\/i)\/(i*i\/i**(4\/3)))\/((i*(i*i\/i**(1\/3))\/i)\/(i\/(i**(-1\/3)\/i))))\/((i*i**1)**20)**(-3\/2) assuming i is positive.\nAnswer: i**(411\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*c - u, -c + 0*u = -2*u - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207265201 to the power of 1\/3, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*r, -4*f + 5*r - 18 = -0*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2245150 and 1347090?\nAnswer: 6735450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2 + 2*m - 6 - 4*m. Let l(a) = 5*a**2 - a + 1. Let p be l(1). Let r(v) = 3*v + 5. Let y(w) = p*t(w) + 4*r(w). Let b(h) = -h. Calculate b(y(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*88\/2970)\/(8\/(-54)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94356643.5ms in weeks?\nAnswer: 0.15601296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/y)\/(y\/y**(3\/10)))\/(y*y*y*y*y**9)**(3\/31) assuming y is positive.\nAnswer: y**(-3087\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 6, 1, 5, -996 in ascending order.\nAnswer: -996, -5, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 24*b - 34. Let i(r) = -r**3 - r**2 - 1. Let q(x) = 2*i(x) - j(x). Factor q(n).\nAnswer: -2*(n - 4)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6356607 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 2*k + 2. Let q(c) = 2*c**2 - 5*c - 3. Determine -2*q(z) - 5*x(z).\nAnswer: z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 326531 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-6)\/b)\/((b*b\/(b\/(b**(4\/5)*b)*b))\/b)*b**(2\/29)\/(b*b*b*b**4\/b*b*b))**38)**(13\/5) assuming b is positive.\nAnswer: b**(-1126814\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - v)*(7 - 16 + 5) + 302*v - 300*v - 175 - 88.\nAnswer: 6*v - 263","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/243?\nAnswer: -10\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 8*l. Let y be z(-7). Suppose 4*b - 5 = y, 3*u + 2*b + 12059994 = 0. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/77 and -87\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 67653*i**2 - 277271*i**2 - 141710*i**2 + 1.\nAnswer: -351328*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1795.6 (b) -1\/6 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 150392?\nAnswer: 751960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -896*d - 2198*d - 10259*d.\nAnswer: -13353*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -68\/41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g**(7\/3))**49*((g**2*g*g)**(3\/13))**(-1\/43) assuming g is positive.\nAnswer: g**(-54818\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 287. Suppose 4*g = 2*g + b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Suppose -3*k - 2*m - 16 = 0, 2*k + 5*m + 34 = 5. Let w = 1 + 4. Sort k, f, w in increasing order.\nAnswer: k, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, n: 4, r: 2}. What is prob of picking 3 n and 1 r?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/3 + 130595*d\/3 + 6449988 = 0. What is d?\nAnswer: -148, 130743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4845984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803*r + 12283 = -70655 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 0, 4.45, 249 in decreasing order.\nAnswer: 249, 4.45, 3, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*((-2)\/(-13) - 7\/(-39)). Let y be k - -4*(-2 + (-13)\/(-12)). What is the third biggest value in 2, y, -0.14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, -64, -198, -412, -724, -1152, -1714?\n\"Answer: -3*x**3 - 13*x**2 - 12*x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + (-4 - -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-1269)\/(-1645))*(-24)\/(-590). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from lldddiiidiid.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 0.08248.\nAnswer: -0.31752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35235\/(-870)*(-6)\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 564 = 25*k - 101*k - 3464, 0 = -5*v - 15 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -12718 in descending order.\nAnswer: 5, 4, -12718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10647\/5 != -2130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335563 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180.1 - 180. What is the closest to k in -0.1, 7, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3 + w + 4*w - 4*w. Let s(p) = -4*p + 10. Let v = 100 + -103. Calculate v*s(n) - 10*l(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -2*n**7\/21 + 7*n**4\/12 + 43*n**3\/6 + n**2 - 10*n - 3. Find the second derivative of o(x) wrt x.\nAnswer: -80*x**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 46 = 4*d, 1196*d + j = 1195*d + 11. Let n(p) = p + 1. Let c(o) = -o - 11. Let u(r) = -c(r) - 2*n(r). What is u(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - (-36)\/21. Let m(y) = -y**3 - 3*y**2 - 2*y - 4. Let j be m(-3). Solve -x = -j - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 6.\nAnswer: 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*i + 508*i - 2*m = 9, -4*i = 3*m + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) 2 (c) -80\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 g when four letters picked without replacement from dgodgo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 7 + 2*m**2 + 9 - 17)*(1 + 1 - 1) in the form p*m + b*m**2 + x and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -5748?\nAnswer: -5748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.3 (b) -0.4 (c) -57 (d) -3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -19. Let z = r + -5. Let t = z - -17. Which is the biggest value? (a) -2 (b) -2\/3 (c) -21 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57.09977*-0.5.\nAnswer: -28.549885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g = -28 + 92. Put g, -19\/5, -0.4 in decreasing order.\nAnswer: g, -0.4, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205248289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6819?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 7, 5, 3 in ascending order.\nAnswer: 3, 5, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 13. Let b = x + 8. Let n(f) = -56*f + 2. Let d be n(b). Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -59*g + 89 + 232 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11356 (base 8) to base 6\nAnswer: 34234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.3, 22923?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153.58 - -153. Which is the third biggest value? (a) n (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 30*f - 35*f - 368, 2*t - 350 = -4*f. Which is greater: t or 1079\/6?\nAnswer: 1079\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (330\/(-825))\/((-3)\/(-15) + 1). Which is the closest to 3\/133? (a) p (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 19569*p**3 + 42536475*p**2 - 30782176875*p - 61734656250.\nAnswer: 3*(p - 2175)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n - 10. Let y(v) = -2*v - 11. Let d be y(n). Suppose -38 = 3*x - d*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i + 0 + 1 - 3 + 9 - 3. Determine s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 4*v - 6*v)*(1 - 1 + 1 + (-1 - 1 + 1)*(4 - 2 - 3)) as w*v + p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/((-5)\/(-750)). Let q = -4 - 0. What is the tens digit of 18\/q*g\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3295353 <= -13181415\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 1 + 1)*(0*w - 4*w + 2*w) + 5*w - 2*w - 6*w)*((-3*w**2 + 0*w**2 + 2*w**2)*(-5*w + w + 2*w) - 3*w**3 + 7 - 7).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-2)\/((-16)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2268\/5, 1\/5, -2, -4.\nAnswer: -4, -2, 1\/5, 0.5, 2268\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646652352 + 323326170 + 6*y + 323326182.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 + 609. Suppose -3*v + r = 3*s, -7*s + 9*s = -5*v + 510. Is s a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04899804 - -0.45899634. Let v = -0.41 + c. Round v to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 2*y + 6*z - 2, -25 = -4*y - 3*z. Suppose -8*l**4 + 6*l + 9*l**4 + 15*l**2 + 2*l**y + 12*l**3 = 0. What is l?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5786541, -5786529, -5786507, -5786475, -5786433?\n\"Answer: 5*n**2 - 3*n - 5786543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6*g = -32 + 54 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22*x - 10. Is k(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**6 - 27*m**4 - 291*m**2 wrt m?\nAnswer: 480*m**3 - 648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 31868 = -5*a, -5*a - 4*q + 31864 = -3*q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/8 (c) -1 (d) -1\/2 (e) 33\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 10)*(16*d + 10*d - 8*d + (0*d + d + d)*(-4 + 3 + 4)).\nAnswer: -216*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 13. Let z be r(15). Suppose h - 1 = -z*o - 8, 4*h = -2*o + 2. Factor 2\/3*g**h + 2\/3*g - 4\/3*g**2 + 0.\nAnswer: 2*g*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 3*c, 2*c + q = 3*q - 6. Suppose -4*g = 2*l - 22, c*l - 3*l + g + 54 = 0. Differentiate 6 + l*h - 3 - 9*h wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6345132, 6345133, 6345134?\n\"Answer: n + 6345131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let i = -6 - -6. Let j = 2 + i. Let z(w) = -4*w**2 - 2*w**2 - 2*w**j + 3*w**2. Calculate z(v(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 201698, 403376, 605028, 806642, 1008206, 1209708, 1411136, 1612478?\n\"Answer: -2*d**3 - d**2 + 201695*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 200020 (base 4) to base 6\nAnswer: 13304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7 + 67. Let m be (-6)\/v + 54\/(-10). Put -1, 0, m in descending order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -15*i + 16. Let j(k) = -7. Determine -6*j(n) - 3*m(n).\nAnswer: 45*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -435*y**2 - 4*y - 6. Let c(x) = -2178*x**2 - 19*x - 26. Give 3*c(o) - 14*q(o).\nAnswer: -444*o**2 - o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -100. Which is the third smallest value? (a) -3\/5 (b) 2 (c) -1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*s**5 + 2432*s**4 - 244104*s wrt s.\nAnswer: -300*s**3 + 29184*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -p. Solve -3*s + p = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -296*p**2 - 4*p + 6. Let x(j) = -2*j**2 - j + 2. Give c(i) - 3*x(i).\nAnswer: -290*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 406665.\nAnswer: -813330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9411.38 + -4.\nAnswer: 9407.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:56 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 4\/7*o**2 - 2\/7 + 0*o**3 - 2\/7*o**4.\nAnswer: -2*(o - 1)**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(432)*2 + 1) + -4*(sqrt(432) - (-5 + (sqrt(432) - sqrt(432)*2))))*-3)**2.\nAnswer: 15552*sqrt(3) + 65124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -461392183 smaller than -461392183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = s - 6, 0 = -2*v - 46*s + 47*s + 19 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-6*2*sqrt(96) - sqrt(96))\/sqrt(4))\/(sqrt(12) + 5*(sqrt(192) + sqrt(12) + sqrt(12)) - sqrt(24)\/(sqrt(10)\/sqrt(5))))**2.\nAnswer: 169\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3 - 213\/(-162). Let v = 91\/54 + j. Let u = 543\/4 - 137. Which is the nearest to -2? (a) u (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 419774, 419915, 420056?\n\"Answer: 141*k + 419633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6392 is divided by 2061?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23547 greater than 23547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 405 + -404.6. What is the nearest to 0.2 in -3\/5, z, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100 (base 4) to base 3\nAnswer: -101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00938 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -16*u + 12. Let h(o) = -o**3 + 8*o**2 - o + 10. Let a be h(8). Let s be v(a). Let x be (s\/(-7))\/(20\/70). Solve g - x = -12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 11:16 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.31 to zero dps.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g**2. Let b(u) = 411 - u - 826 + 415. What is b(y(m))?\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d7 + 26693?\nAnswer: 264ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30048275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -2431331100?\nAnswer: -2431331120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*s + 18 = 0, b + 2*b - 2*s = 19. Suppose -g + 13 = -3*j, 4*j - 2*j = b*g. Put -2, 2, j in decreasing order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juf when three letters picked without replacement from qbjfjjfnunnj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - c + 1. Let u(l) = 11*l**2 + 17*l + 22. Let t(p) = -5*h(p) - u(p). Let x be t(-3). Suppose 3*m - 2 = 4. Solve -r - m*r = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -369 (c) -1\/12 (d) 1\/2 (e) -21.3 (f) -0.2 (g) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -5\/12*m**4 - 26*m + 15\/2*m**2 - 5\/3*m**3 + 0. Factor r(l).\nAnswer: -5*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k - 11. Let d(t) = 8*t - 5. Let u(r) = -9*d(r) + 4*p(r). Let n be u(1). Calculate the least common multiple of (-832)\/(-39) - 2\/n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14*t**2 - 3*t**2 + 4 + 108*t - 110*t.\nAnswer: -17*t**2 - 2*t - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8712*m + 8781*m - 414 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12402108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3695050\/53 or -69718?\nAnswer: -3695050\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 11:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {u: 4, d: 5, g: 2, o: 1, f: 4, v: 4}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 x when four letters picked without replacement from xxqxiqxqqxqxxq.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 119. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((9345\/6)\/7)\/((-77)\/(-770)). What is the greatest common factor of 534 and i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41314 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 + 0*v**2 - v - 4 - 2*v + 1 + 5. Calculate c(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -30*m**3 + 8*m**2 + 7*m - 4. Let k be s(-6). Let z be (15\/(-9) - -1) + (-80805)\/(-12). Let r = z - k. What is the common denominator of -95\/18 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 95*z - 89*z. Which is the second biggest value? (a) 4 (b) z (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 10*q + 16. Let w(t) = -t**2 - 1. Let n(j) = 3*w(j) + z(j). Let g(a) = a**3 - 11*a**2 - 21*a - 54. Let u be g(13). What is n(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 2*u**2 - 7*u + 4. Let x be z(3). Let l be (-31)\/x - (-9)\/45. Let k = 3.04 + -2.94. Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x - 16 = 0. Suppose 7*l - x*l + 24 = 0. Let k be (1\/(-7))\/(l + 7). Which is the third biggest value? (a) k (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 44 + -39 + -1\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*o + 64 = 0, -j + 2*o = -5*j + 56. What is the remainder when 2*5\/((-10)\/6) - -51 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20877.062 + -20917. Let b = -7 - 33. Let v = p - b. Round v to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40 (b) -3\/8 (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 9 - (-4)\/(-2). Suppose -t + p + 0 = 0. Solve -k = r + 2, -t*k + 3*r = 7*r + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16601 and 5707.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -270, -610, -1086, -1698?\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-1)*(-7)\/(-56)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2446 and -2464 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2. Let x(h) = 3*h + 4103*h**2 - 3*h - 2201*h**2 - 2062*h**2. Give x(l(f)).\nAnswer: -1440*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/20)\/(-9))\/((-462)\/(-1925))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-21) - (-1)\/((-49)\/(-42))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 11*l**2 + 27*l + 26. Let w be n(6). Let i(v) be the first derivative of 0*v + w - 1\/2*v**2. Let b(u) = 4*u**2. Calculate b(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -38*m**3 - 1. Let p(o) = -o**2 - 62*o - 84. Let c be p(-44). Let j = c - 707. Determine x(j).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c + 45. Calculate s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*i = 14, 1 = i + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i - 18. Let m(f) = -175*f - 287. Let n(x) = -6*m(x) + 98*s(x). Does 23 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(13)*-2)**2 - sqrt(13)) + sqrt(13) + 3 + 1.\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.44204 meters to millimeters.\nAnswer: 27442.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8896 in -1, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*y + 14 = -1061*y + g, 4*y - 4*g + 0 = -8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -6\/55*r**5 + 4 + 15\/11*r**2 - 3\/22*r**4 + 12\/11*r + 6\/11*r**3. Determine k so that z(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17857302 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4726595.7 nanoseconds to hours.\nAnswer: 0.00000131294325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2\/8 - 105*a\/8 + 51\/4 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17800859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1544, -3596, -6646, -11192, -17732, -26764, -38786, -54296?\n\"Answer: -83*d**3 - d**2 - 1468*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 9*l - 2 = -3*g, -2*l + g + 4 = 0. Let k be (-1)\/7*-7 + l. Calculate the highest common divisor of 180 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 471 - 707. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345050 is divided by 1772.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.084 + 4.084. Which is the third smallest value? (a) k (b) 0.01 (c) 0.3 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1955 + 13*s**3 - 1955)*(8 - 11 - 152) in the form l*s**2 + j + a*s + u*s**3 and give u.\nAnswer: -2015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42252 divided by 2012\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11771 - -11774. Which is the fourth biggest value? (a) -0.4 (b) t (c) 4 (d) -15.9 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccvwwycwvvvcwcvv. Give prob of picking 1 y and 3 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*r + 12. Let d be r + (4\/4 - 3). List the prime factors of ((-18)\/d)\/(2\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252, -288, -348, -432?\n\"Answer: -12*b**2 - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47590*k**2 - 1950*k wrt k.\nAnswer: -95180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/17 + 10822*t**2\/17 + 10820*t\/17 = 0.\nAnswer: -5410, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -374073901 to the nearest 1000000.\nAnswer: -374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19400 - 11289. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4930865, -4930859, -4930849, -4930835, -4930817?\nAnswer: -4930795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*((-8)\/12)\/(-1). Suppose 0*x + 2*z - 28 = -x, -31 = -x - z. Let f(h) = x - 20 - 6 + h. Calculate f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484591.\nAnswer: 599, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 10 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72532524.\nAnswer: 2, 3, 23, 109, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 8:53 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f - 50 = -43*f. Let w(t) = t**2 + t - 2. Let l be w(-4). Calculate the highest common factor of l and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 41718937*d. Let k(m) = -3*m**2. What is h(k(x))?\nAnswer: -125156811*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1028 and -59\/68?\nAnswer: 17476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o. Suppose o = -3*s - 0*s + 72. Let a be 5*(1 - 7\/(-5)). What is the greatest common factor of a and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -24 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012258 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 8*w\/3 + 7\/3.\nAnswer: (w + 1)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*((-3)\/5)\/(111\/555).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2596, 2595, 2594, 2593?\nAnswer: 2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2473 and 5?\nAnswer: -12365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 14*b + 16*b to the form g + h*b and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/27 and -157\/12158820?\nAnswer: 36476460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3575*o - 3579*o + 560 = 4*q, 4*q - 580 = o. Solve -27*r - q = -36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 + 5*s + 4. Let x be z(-5). Let b(y) = -7*y**2 + 2 + 3*y**2 + 5*y + 3*y**2. Determine b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*10*18*(-51)\/(-1224)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v + 6 - 34, 10 = -5*g. Suppose 20 = 4*n - v. Suppose -4*y - 2 + n = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1598908*o**4 + 1805353*o**2.\nAnswer: 38373792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046278146?\nAnswer: 2, 3, 674379691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492283581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 4*x - 11. Calculate s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2470 - -2434) + 21 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxjyjjdxjydjjdxyjj. Give prob of sequence dd.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(98) + 0 + sqrt(98) - sqrt(98)) + sqrt(98))**2 + -4 + -5)*-6 + 3).\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-4) + 1 + -2. Suppose -5*t + 6*t = 4*u - 10, -2*t - 14 = -a*u. Suppose 0 = -5*k - 7 + u. Put k, -3, 2 in increasing order.\nAnswer: -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -4. Suppose -w*r - 4*m = -50, 0*r + 19 = r - m. Suppose -o = -2*v + 3*v - 5, 0 = -2*v - o + r. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:09 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166786615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79203 or -79232?\nAnswer: -79203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*m + 2*t + 19, -3*m + 2*t = -17. Calculate the highest common factor of 40 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25971 + -39455. Let m = q + 81389\/6. Let d = -81 + m. Are 2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002120200 - -10?\nAnswer: 10002120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 1. Let c(w) = -60*w**2 - 6*w + 6. Give -6*a(i) - c(i).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 98*l + 101*l + 5, 0 = 4*x + l - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 + 594*m**2\/5 - 1202*m\/5 - 1794\/5.\nAnswer: 2*(m - 3)*(m + 1)*(m + 299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + sqrt(400)\/sqrt(5) + 4*sqrt(45) + 5.\nAnswer: 8 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from {u: 3, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x - 28. Let u be i(-4). Let h = -72 + u. Let s = h - -57. Is 5 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184917 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izziizzzziz. What is prob of picking 2 z and 1 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(2\/(-4)). Suppose -4*z + 25 = -m, 4*m - 4*z + 2*z = -30. What is the remainder when 8 is divided by (j*1)\/(m\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 792, -5, -2, 0, 5 in decreasing order.\nAnswer: 792, 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 9*q**2 - 17*q - 6. What is l(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194221315.6174847 + -194221246. Let b = p + 1.3829853. Let g = b - 71. Round g to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + h - 1494 + 405 = 0, 2*h + 1077 = 5*t. Suppose -5*m = -528 - t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.143662203 - -1068851.146362203. Let i = -1068885 + v. Let g = i + 56. What is g rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -47 in ascending order.\nAnswer: -47, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(-5))\/l*l*l)\/(l**6*l)*l**4\/l**(1\/7) assuming l is positive.\nAnswer: l**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:00 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**4\/12 - 2*z**3 + 7*z**2\/2 - 6*z - 4. What is h(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 129*p**3 - 369*p**2 - 363*p - 120.\nAnswer: -3*(p + 1)**3*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/5040 + 7*f**5\/10 + 33*f**2. Let j(m) be the third derivative of b(m). Let q(z) = -9*z**2. Give j(q(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.619 minus 0.29?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/10 - k**4\/12 + k**2 + 99. Calculate x(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 + 0.06. Which is the closest to 0.1? (a) w (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*h + 13*h + 2*x, 3*x = -5*h + 26. Let j(i) = 4*i**3 - 4*i**2 - 6*i**2 + 2*i - 5*i**3 + 2*i**3 - h*i**2 - 21. What is j(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:45 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8091 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:25 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4757 - -4756. Put t, -0.923, 1\/4, 1\/5 in increasing order.\nAnswer: t, -0.923, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658 divided by 99\nAnswer: 658\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7)\/((-1231)\/(-232659)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34184 greater than 34179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-17))**(9\/11) assuming k is positive.\nAnswer: k**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-182)\/8*6\/(-7). Let o = z - 77\/4. Let t = -7 - -11. Sort o, 0.3, t in decreasing order.\nAnswer: t, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4 = -7*n. Suppose -2*c = 3*d - 67, 4*c - 65 - 29 = n*d. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*b - 10. Let s(n) = -8*n + 3. Let a be s(b). Sort a, -11, 3.\nAnswer: -11, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -29, -45, -67, -95, -129, -169?\n\"Answer: -3*m**2 - m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((3 - 7) + 3). Put b, 4, -2, -1 in increasing order.\nAnswer: -2, -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107829 is divided by 609?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/2)\/2 + (31 - (32 - -4)). Let l(r) be the second derivative of 0 - 13*r + 0*r**z - 1\/6*r**3. Let t(a) = 2*a**2 + 8. Determine t(l(w)).\nAnswer: 2*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:53 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1693, 3423, 5155, 6889, 8625, 10363, 12103?\nAnswer: 13845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56425718.\nAnswer: 2, 43, 656113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282 a factor of 24482354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18970, 37939, 56908?\n\"Answer: 18969*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-736)\/(-207)*-18*(-10)\/(-40).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 8 = 2*r + 5*t, 2*t = -3*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11542 and 8159?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-16))\/((-77)\/55). Let i = 19\/56 + f. Put 4, i, 0 in descending order.\nAnswer: 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.157, 3, 4, -1.\nAnswer: -1, -0.6, 0.157, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = -2*v. Solve -51*q + 46*q = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -672.52, -0.1, 33, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = -5*f - 5*j, 9*f - 11*f - 112 = j. Let d = f - -96. What is the remainder when d is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2240 and 448.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46731 is divided by 1089?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 33. Let f be i(21). Let y be 2*((-5)\/f)\/(-5). Is 1 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/2 + 56*x**4 - 52955*x**3\/2 - 3835789*x**2 - 29401696*x - 57942544 = 0. What is x?\nAnswer: -173, -4, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 - -123. Let z be (12\/15)\/(12\/90). Suppose -3*f + 4*n + 63 = 0, 2*f + 4*n - 48 = -z. What is the greatest common divisor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + -45 + -7 + -13.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 96*b**3 - 1023*b**2 + 3630*b.\nAnswer: -3*b*(b - 11)**2*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -5*s**4\/12 - 2*s**3\/3 + 9*s - 223. Let b(l) = -6*l**2 - 5*l. Calculate -3*b(x) + 4*m(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3311 - 3310 - 3316 - 31*q + 9937 - 21*q.\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/45*(210*1)\/7)\/(12\/42).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-108)\/(-6))*(-31)\/(4836\/72).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 216157176?\nAnswer: 216157176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 946, 1195, 1464, 1753, 2062?\nAnswer: 2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 + 0.120168. What is s rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400063 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 7*c**2 - 16*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 6 = 4*q. Let a be q + -2 + (-3)\/(-3). List the prime factors of (-17)\/(-5) + (-6)\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 39621*s**2 - s**3 + 39621*s**2.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/20 + f**4\/4 + 2*f**3\/3 - 3*f**2 - 2*f. Let j be s(4). Let u(g) = -g**3 - 6*g**2 - g - 8. Calculate u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 16) in base 13?\nAnswer: -952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 6 + 0*u**3 - 5\/12*u**4 + 6*u + 0*u**2. Let z(o) be the first derivative of l(o). Let i(j) = j**2. Give i(z(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26910092.94 rounded to the nearest 10000?\nAnswer: -26910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-102))\/((-1424)\/6052).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-9)*6)\/(4\/534). Let z = 719 + a. What is the common denominator of 53\/18 and (-2)\/10 + (-1734)\/z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8024.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 119 + 13966*k - 119 - 2531*k as s + t*k and give t.\nAnswer: 11435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 + 1237\/5. What is the third biggest value in -1\/10, 16, u, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -182, -228, -194, -74, 138, 448, 862, 1386?\n\"Answer: f**3 + 34*f**2 - 155*f - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 902290710 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(5\/(-40)*15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*s)*(2*s**2 - 4*s**2 + 3*s**2 + (-s + 4*s - s)*(3*s + 4*s - 6*s) + 5*s**2 + 4*s**2 - 4*s**2)*(-11 - 7 + 16).\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2178 in ascending order.\nAnswer: -5, -3, 2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20124, -80659, -181556, -322815, -504436, -726419?\nAnswer: -988764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 118*k + 772. Give n(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1844*n - 625 = -1869*n. What is the least common multiple of 735 and n?\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 990\/(-80) + 6. Put 6, -0.2, 1, s in ascending order.\nAnswer: s, -0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 28. What is the units digit of (483\/c)\/(1\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from {p: 14, z: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/1011807 or 0?\nAnswer: -40\/1011807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -15*s + 37. Let z be v(3). Let k = 7 - z. Solve -3*o - 12 = -k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/(((-130)\/105)\/(-13)). Let a be 120\/40 - -14*g\/32. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + (-78 + -33 - 96).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4815 and 22470.\nAnswer: 67410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*j + 3*j = -15, -j - 13 = -3*m. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348516 is divided by 38160.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 - 174. Solve c - o = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 434*q - 23533. What is y(-112)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (6 - 12) - 37\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.08 + -0.08. Suppose 3*t + 0*t - 3 = -2*f, -t + f = 4. Let y be 2\/((t\/(-6))\/(15\/60)). Put y, l, -5 in decreasing order.\nAnswer: l, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 15*z + 2. Let l be r(15). Sort 6, l, -2 in ascending order.\nAnswer: -2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 10. Let y = -18149 + 18140. What is the second smallest value in y, d, -3, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92984500\/4410)\/(-155) - -136.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 1786.6.\nAnswer: 1785.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23954 (base 10) to base 13.\nAnswer: ab98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/9 - 316*f\/9 + 2272\/9.\nAnswer: 4*(f - 71)*(f - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*c - 110, 1302 = -3*j - 13*c + 1564 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 4641 + 4590 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -2, 8, -3, -1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (-2*sqrt(833))**2 - sqrt(119)\/(sqrt(7)*1 + sqrt(7) + sqrt(7)).\nAnswer: -3332 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*28\/266*-6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/61 or -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*f + 84822, 5*f - 56534 = -76*a + 74*a. What are the prime factors of a?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51243403 - -35?\nAnswer: 51243442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 49\/4 and -640 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.1, -13, 2\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*u + 15 = -2*d, 5*d - 59 = -8748*u + 8750*u for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-120) - (-20)\/150. Which is the third smallest value? (a) 0.5 (b) 1 (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:39 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 69*q. Let b(m) = m**2 - 20*m + 12. Let t be b(20). Let w(z) = 15*z + 36. Let l(c) = 6*c + 15. Let r(h) = t*l(h) - 5*w(h). What is r(x(p))?\nAnswer: -207*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2806\/(-126) + (0 - -2). Let h = v + 145\/7. Let j = 8256 - 8256.4. Which is the closest to h? (a) j (b) 3\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, i: 2, d: 6}. Give prob of sequence diid.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*f**2 - 38*f**2 + 0*f**3 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 94674?\nAnswer: 94674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - u**2)*(-13*u + 3*u**2 + 3 - 10*u + 25*u).\nAnswer: -6*u**4 - 4*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = -d. What is the least common multiple of 3 and (d\/(-2))\/(8\/112)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, m: 2, d: 1, a: 3}. What is prob of sequence mmg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52863 is divided by 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21720 + 21726. What is the lowest common multiple of m and 243?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 1. What is the remainder when 41 is divided by i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00179431275 to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 717 - 696. Suppose -1554 = -c - c. What is the greatest common divisor of i and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 10. Let l be y(10). Suppose -5*q = -5*d - l, -2*d = 2*q - q - 1. Suppose q*u - 18 = -0*u. Let s(k) = 2*k - 2. Give s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -b - 4*r - 6, -4*b + 6 = r. Let x(j) = j - 1. Let h(d) = -d**2 - 13*d + 6. Let s be h(-13). Let a be x(s). Solve a*i + 9 = b*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109 - 54*c**2 + 242 + 56*c**2 as d*c + b + x*c**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -305*x**3 - 256*x**2 wrt x.\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 174*g + 73. Is r(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -24*b - 4\/15*b**6 + 0*b**4 + 0*b**3 + 1\/21*b**7 + 0*b**2 + 0 + 2\/5*b**5. Let g(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:43 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21110 and 110.\nAnswer: -2322100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5908 = 237*l + 275*l - 90*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19711256947234 and 0.21.\nAnswer: 19711256947234.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36)\/sqrt(2) - sqrt(162)*1)\/(((sqrt(384) - sqrt(384)*2) + sqrt(384) + sqrt(384))*-3).\nAnswer: 7*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273227257 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 70, 160 = -2*i - 68619*t + 68608*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 - k**2 - k - 12. Let i(r) = 2997*r**4 - 4662*r**3 + 2634*r**2 - 636*r + 240. Let q(c) = -15*d(c) - i(c). What is t in q(t) = 0?\nAnswer: 1\/3, 20\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145696 and 960683.\nAnswer: 4553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 32 = 12, 2*k = -i + 63. List the prime factors of i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-15) + 3182\/(-185). Let h(t) = -26*t**2 - 9*t + 23. Let k(m) = 9*m**2 + 3*m - 8. What is q*k(a) - 6*h(a)?\nAnswer: 3*a**2 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181 + 424 = -f. Suppose u - f = -85. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20714 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -0. Suppose 4 = -2*k + 6. Suppose 46*v + 196 = -126. Sort k, f, v in descending order.\nAnswer: k, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-5*-1)\/(4*sqrt(484)).\nAnswer: 15*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -53, -112, -205, -338, -517, -748?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/((-42)\/41244). Which is smaller: w or 493?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 2*n - 35 - 18*n + 18.\nAnswer: -16*n - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 1.152.\nAnswer: -0.01152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g + 62*g = -48 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127076663.7 nanoseconds to weeks.\nAnswer: 0.00000021011353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*o - 26*o + 14*o + 8)*(-4 + 2 - 4) - 2*o + 6*o + 8*o to the form y + z*o and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -9)*(-20)\/(-550)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3310998 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209))\/sqrt(11) + sqrt(190)\/sqrt(160).\nAnswer: -11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149952 and 149952?\nAnswer: 149952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.1 and -55281.\nAnswer: 945305.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:59 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16870, -78228, -180486, -323638, -507678, -732600?\n\"Answer: a**3 - 20456*a**2 + 3*a + 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9 and 39\/5862196?\nAnswer: 52759764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*k**3 - 619*k**3 + 146*k**3 + 177*k**3 - 426*k**3.\nAnswer: -1302*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 17 - (5 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l - 144 = -11*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 89. Is w greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1183277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.1? (a) 1\/11 (b) -4 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*p**5 - 108*p**5 + 75*p**5)*(-3 - 3 + 5).\nAnswer: -25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-168)\/15 + (-4)\/(-20). Let w be (c - -1)\/(-8 - -10). Let k(z) = -11*z**2 + 5*z - 6. Let d(g) = 7*g**2 - 3*g + 4. Determine w*k(s) - 8*d(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 0*u**3 + 3*u**3)*(-334 + 460 - 253 - 4 + 5 - 2 + 3 - 2 + 1 + (4 - 2 - 4)*(5 + 0 - 3) + 5 + 2 - 5 + 3 - 5 + 4).\nAnswer: -126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 - 2*o**2 + 3*o**2)*(0*o**2 + 0*o**2 + o**2) + 7413*o**4 - 7071*o**4 - 3*o**3 + 2*o - 2*o as m*o**3 + s + v*o**2 + j*o + r*o**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4270026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*j = -36140 + 35939 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321668 and 17391880.\nAnswer: 5452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -2\/9, 13\/5, 4\/5, 13\/2, 2, 363?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -40. Suppose 5*y + 41 = 3*k + 16, 3*y - 5*k = -q. Let c = -9346\/5 + 9342\/5. Sort -5, y, c, 1.\nAnswer: -5, y, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = -16, -1 = 2*p - m. Suppose 2 = -p*r + 12. Put 0, r, -2 in increasing order.\nAnswer: -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1994426810 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 10, -19.\nAnswer: -19, -0.04, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Let o(h) = -335*h - 7. Let f be o(d). What are the prime factors of (-4)\/16 - f\/16?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 12*h**2 + h + 3. Let s be u(5). Suppose 3*q + 4*b - 401 = 0, -3*b + s - 64 = 2*q. What is the remainder when q is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 230 (b) -5 (c) -3 (d) -0.1 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 72 = 62*b. Let x = -7 - -5. What is the lowest common multiple of b and (-6)\/1*1\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403772869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255 + 255.209. Let t = a - -2.791. Sort -0.4, 2\/5, t in increasing order.\nAnswer: -0.4, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-15)\/18). Sort -1.6, s, -2\/23, -0.3 in ascending order.\nAnswer: -1.6, s, -0.3, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -37. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 1.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13788\/5 - 1062141\/385. Let k = 48\/11 - x. What is the common denominator of k and 13\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7504\/(-4288))\/(14\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 2, 0.5, 0.2, 3\/2 in descending order.\nAnswer: 2, 3\/2, 0.5, 0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 34020 + 211495 - 8691 = 0. List the prime factors of c.\nAnswer: 7, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/8 - 3*p**2 + p. Let m(g) = -g - 2. Let z(h) = -3*h - 5. Let t(c) = -10*m(c) + 4*z(c). Determine t(r(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2086, 2089, 2092?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4*d - 5*d)*((2 - 1 + 1)*(3*d - 1 + 1) - 190*d + 403*d - 159*d).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c**2 - 44*c + 387. Let v be k(6). Let m(l) = 0*l + 9 - 3*l + 6*l - 4*l. Give m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 56*x**4 + 7*x)*(3 - 3 + x + (1 - 1 + 2*x)*(1 - 1 + 2) - x + 3*x - 3*x).\nAnswer: 224*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2007.\nAnswer: -1\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*n = 328, 11*n = 15*n - 4. Calculate the remainder when b is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 7*x + 19*x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90106\/(-6) + (-2)\/(-3). Let r = 270215\/18 + t. What is the common denominator of -115\/12 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64883, 259556, 584011, 1038248, 1622267?\n\"Answer: 64891*h**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9461 divided by 11512?\nAnswer: 9461\/11512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1376148 or 2?\nAnswer: 1376148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (1 + -11 + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/643907 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 1. Suppose -2*k - 12 = -4*i + q*k, 5*k + 3 = -i. Solve -2*j = i*s - 10, -s - 2*j + 3 = -3*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9, -n + 0*n = -5*c + 457. Let v = c + -38. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v**5\/3 + 2879*v**4\/3 + 14528*v**3\/3 - 1602365*v**2\/3 - 1066650*v + 27000 = 0.\nAnswer: -45, -2, 1\/40, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 24 = 0, 5*o + 401*q - 404*q = 33. Solve -5*b + 5 = -3*u, -o*b - 10 = 6*u - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43929100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.37 take away -61.6?\nAnswer: 54.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20755731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*k**2 + k - 266*k**2 + 2*k**4 + k - 10 in the form v*k**2 + w*k**4 + n + a*k**3 + x*k and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/513 and 79\/126.\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -0.2099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*h + 580, -4*u = 18*h - 20*h + 180. Calculate the greatest common divisor of 119 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**3 - 4*f**2 - 14*f + 2. Let b(x) = -x**3 - 2*x + 1. Let m(c) = -5*b(c) + y(c). Is m(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 3*j, -2*q + 4 = 5*j - 2. Suppose -2*h + 17 - 53 = 0. Let n = h - -13. Sort 0, n, q in increasing order.\nAnswer: n, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -86 - 9*u + 27 - 79 - 40. What is the remainder when o(-25) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b + 336. Calculate the remainder when 183 is divided by k(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-22)\/44*(-46872)\/3)\/((-1)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 + 39*z**2 + 35*z + 188. Determine y(-10).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4*x)*(-193*x + 0*x**2 + 397*x - 204*x + 0*x**2 + 991*x**3).\nAnswer: 3964*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1886584 or 5659754\/3?\nAnswer: 1886584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -328 - -295 - (0 - 14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/7 (b) -2\/5 (c) -2\/23 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owgj when four letters picked without replacement from eoejggwyjeg.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6989 - -7.92187. Round j to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27798563 + -224\nAnswer: 27798339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0259751 milligrams to grams.\nAnswer: 0.0000259751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 5 - 5 - r. Let g be y(2). Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 3*o + 2. Let r be y(-2). Let n = 13 + r. Suppose 0 = -k + n*k - 12. Solve 0 = -5*h - 5*c - 40, -h - 5*c = k*h + 37 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - 3 - -3)*-1. Let j = v + -7. Solve k + r = -j*r - 2, -r = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/3 + 2*c**2\/3 + c.\nAnswer: -c*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-3))\/(1\/(-3)). Let f = 18 + c. Solve g = -2*i - 10, f*g - g - i = 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 + 3. Let s = 47 + -233\/5. What is the third biggest value in -0.2, k, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**8\/56 - 7*c**5\/60 - 2*c**2 - 7*c. Let t(m) be the first derivative of w(m). What is the third derivative of t(o) wrt o?\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzvfevfzfeffzeav. Give prob of picking 2 v, 1 a, and 1 f.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 2. Let m(d) = -d**2 + 230*d + 8. Give m(b) - 4*s(b).\nAnswer: -b**2 + 238*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 577.064 from 20825.\nAnswer: 20247.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.363334 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 75, 0, -42 in decreasing order.\nAnswer: 75, 2, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77.1 + 89. Let m = 12 - z. Let r be 3 + -4 + 5\/4. Put r, m, 1 in descending order.\nAnswer: 1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 10, 2\/9, -44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9, y: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9722.4002 - -9727. What is p rounded to two decimal places?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h - 882 = 37*h - 93*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000389011001 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11101232310 (base 4) to base 2\nAnswer: 101010001101110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -274.849.\nAnswer: -273.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005149 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11 = -v, c - 3*v + 25 = 42 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4084.7964 to the nearest ten.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (19 - (19 + -42))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*x = -0*x + 191, -k - 97 = 5*x. Let w be -3 + 8 + 5 + k\/7. Let y = 1 + 0. Which is the third smallest value? (a) -2\/15 (b) w (c) 5\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 649 = 5*k - 744, -3*k + c + 59 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 4)*(4 - 5 + 4)*(-10*l**2 + 7*l**2 - 11*l**2) to m + o*l**2 + z*l and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o + 67. Let g be m(7). Let i(p) = p + p - p + 0. What is i(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 8944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5368 and -38\/319?\nAnswer: 155672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/84 and 23\/35134716?\nAnswer: 245943012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105 - (-3 + 73)) + 37.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1511 + 64*w + 1511)*(-4*w**2 + 2*w - 2*w) + 0*w**3 + w**3 - 2*w**3.\nAnswer: -257*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396518.\nAnswer: 2, 3, 7, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose s - c = -1. Let x(i) = s*i + 3 - 3 - 3*i. Let w(t) = -2*t. Determine x(w(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-528)\/(-1320)*20\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2. Let n(m) = 270572*m. What is n(f(c))?\nAnswer: 1082288*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 203721431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 814611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56)\/24)\/((-2)\/36)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 21*p**2 - 46*p + 1596. Calculate n(22).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/3690 and 89\/72.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3986*a**2\/7 + 34776*a + 17446\/7 = 0.\nAnswer: -61, -143\/1993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -5.\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 2)*(2 - (-40)\/(-16)). Let t be n\/(((-35)\/(-5173))\/5). What is t rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p + p - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:08 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 361094.8704 rounded to the nearest 10?\nAnswer: 361090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11698480 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 17*v + 20*v - 10 + 4*v + 10 + (v + v - v)*(-5 + 5 + 1).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -432\/41 > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -46.6. Let p = h - -2.4. Let c = -4 + 4.4. What is the second smallest value in -4, p, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -417 + 709. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*34.5\nAnswer: -37.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c\/c**(-3)))\/(((c\/c**(-4))\/c)\/((c**(1\/6)*c)\/c))*(c**1)**38*c**5*c**(-4) assuming c is positive.\nAnswer: c**(157\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9396618 rounded to two dps?\nAnswer: 1.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b. Let s(f) = 27*f**2 + 18*f. Let g be (-1 - 16\/(-10))\/(9\/(-45)) - -4. What is g*s(q) + 18*x(q)?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, -2\/21, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/10647, 0.4, -0.0129?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from ntvww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -1 - (6 - (-25 + 37)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {u: 5, p: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*w - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 693*b - 2274*b - 4634*b in the form f + v*b and give v.\nAnswer: -6215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3609 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35117.155 - 81739.\nAnswer: -46621.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - (0 - (2 - 11))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13091399 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*s**2 - 11*s**4 + 22*s**4 - 91*s**2)*(5*s - 5*s - s).\nAnswer: -11*s**5 - 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108293 to three decimal places.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1573)\/65 + 24 - 19\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240\/18*(-1 - (-116)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58987 and -58986 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-12))\/((-3)\/(-18)). Suppose -g = -2*a + 32. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -3*k**6\/5 - 35*k**4\/12 + 28*k. Find the third derivative of l(s) wrt s.\nAnswer: -432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 58*i + 56*i = -37*v - 30, 4*i = 8*v + 52 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 3. Let g be k(-3). Suppose g*q + 1180 = 7*q. Let c = 332 + q. What is the greatest common divisor of 64 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose 0 = 4*y - c - 34, 3*c - 12 = -t*y + c. Let l be 12\/y*2400\/2. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288321056 to the power of 1\/2, to the nearest integer?\nAnswer: 57344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -189. Suppose -n + 15 = u, -5*u + u + i = n. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8785.826ml to litres.\nAnswer: 8.785826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 46373 = 3467. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025242639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23258 - 68648 = -9909*h + 106274 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*d - 3, -2*d + 3 = -3*z + d. Solve 14*x - 20*x - 18 = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 420*l - 286*l - 255*l as j*l + p and give j.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -222.\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:18 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1 - 16*g + 18 - 95*g**3 + 38*g**2 - 10*g + 96*g**3. Is p(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190 = 13*r - 21*r - 62*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -70. Let r = -5.0428 - -0.0428. What is the fourth smallest value in r, 0.1, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 454\/381 - -18\/127. What is the second biggest value in n, -0.043, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faek when four letters picked without replacement from akkaafkkeqkkakfq?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 8:31 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297080 and 40960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/237 and 59\/1038?\nAnswer: 82002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-924)*16 + (-40)\/(-140)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-3)))\/(s\/(s\/(s*s**(-2\/17))))*(s**(2\/5)\/s*s)**(-8)*s\/(s**(-4\/9)*s)*s\/(s\/s**5)*s\/(s**(2\/3)*s)*s\/((s\/(s**(-4)*s*s))\/s)*s assuming s is positive.\nAnswer: s**(-1763\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*s - 3 = 0, -4*s + 6 = 4*x - 2*x. Solve 0 = -x*j - 0*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -4*z + 88, 4*z - 65 = 3*q. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 1 - 2 + 0*j)*(-16 + 16 + 5*j**2) as m*j + d + z*j**2 + v*j**3 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 52447319*m**2.\nAnswer: m**2*(m + 52447319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2022 = -3*u - 2*w, 0 = -4*u + 5*w - 2714. Let a = -258 - u. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h**0)\/(h**(-1))**(-15) assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - r + r + (0 + 0 - 2)*(2*r**2 + 2*r**2 - 2*r**2) + 2*r**2 - 1 + 1 - 6*r**2 - 2*r**2 + r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16930 - 73?\nAnswer: 16868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8986 - 8810. Calculate the remainder when a is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10446 + 22761 = 4*m + o, 0 = -m - 3*o + 8310. What are the prime factors of m?\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.5 (c) -6 (d) -0.6 (e) -8.4 (f) -3 (g) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296446 is divided by 569.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0, 2.33, -13.\nAnswer: -13, -4, 0, 2.33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a day?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**1*z)*z)**(2\/55)\/(z**4*z**(-9))*(((z*z**7*z)\/z)\/z*z)\/(z\/(z*z*(z**(-2\/5)*z)\/z))*(z**(-2\/7)\/z*z*z)\/(z**(-2)\/z) assuming z is positive.\nAnswer: z**(606\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27605950 is divided by 396.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 788966*z**2 + 28*z + 1390 wrt z?\nAnswer: 1577932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15 + 0 - 10 - 1 + 0. Let w(g) = g - 5. Calculate -5*p(q) - 4*w(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)\/sqrt(6) + 4 + sqrt(5) + -2 - 5*sqrt(50)\/(-6*(sqrt(10) + (sqrt(10) - sqrt(10)*-2) + sqrt(10)) + sqrt(10)))**2.\nAnswer: 832*sqrt(5)\/29 + 219684\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -34. Let z = -21 - -12. Let o = w - z. Solve -4 + 0 = -o*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1031, 198, 1425, 2650, 3873, 5094?\n\"Answer: -u**2 + 1232*u - 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -490 + 862. Let q = -197 + c. Calculate the greatest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 - d**2 + 4*d**2 - 3*d**2 + 0*d**2 + (-3*d**2 + d**2 + 3*d**2)*(2 + 1 - 5) - 9*d**2 - 5*d**2 + 2*d**2 + 6 - 2*d**2 - 6.\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 - 2*u - 1. Let p be x(0). Put p, 0, 49 in increasing order.\nAnswer: p, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 29*q + 25*q + 36*q. Let s(i) = -i**3 + 5*i**2 + 5*i + 3. Give s(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.5, -0.2, 74, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*q - 12. Let z(j) = -3*j**3 + 2*j**2 + j + 2. Give z(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 20 + 2*g**2 + g**2 + 0*g**2 - 6*g**2 in the form z*g + c + x*g**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163291.2 minutes to microseconds.\nAnswer: 9797472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 8579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322860.\nAnswer: 2, 5, 7, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohooooo. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167985951 to the nearest integer?\nAnswer: 12961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/79, -1\/6, 1\/2 in decreasing order.\nAnswer: 1\/2, 2\/79, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-8)\/10)\/((2928\/60)\/(-61)). What is the third biggest value in o, 107, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2192751226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 9, m: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14521, -14527, -14533, -14539, -14545, -14551?\nAnswer: -14557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62363 is divided by 197.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -51*i**3 - 3769*i**2 + 369*i - 70. What is c(-74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(7*m**4 + m**4 - 4*m**4)*(-4 - 3 + 4).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-65 - -24) - (3 - (-8 - -2))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (3 - (2715\/528)\/(-5)). Let h = t + -2215\/528. What is the common denominator of h and 1 - ((-122)\/4 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.25 + 9. What is l rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98225.1 millilitres?\nAnswer: 98.2251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 27 = 5*r, -83*r + 85*r + 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 + 5*l**2 + l + 11. Let h be p(-6). Let i = h + 1568. Find the third derivative of -8*c**2 - i*c**3 + 5*c**4 + 673*c**3 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8517 and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*a**2*b**3 - 9*a**2*b*k + 2*a**2*k - a*b**3*k + 2*a*b**3 - 8*b**3 + 26*b**2*k + 2*b wrt b?\nAnswer: 426*a**2 - 6*a*k + 12*a - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1) + 0 + 46. Suppose 3*f - 5*q = -7 - 19, -3*q = 3*f + 66. Let b = m + f. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26931 + 26948. Let s = -567 - -1094. Calculate the greatest common factor of s and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 132 = 176. Calculate the least common multiple of z and (32\/20)\/((-1)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.6. Let d = t + -0.1. What is the biggest value in 0.4, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99774 is divided by 94804?\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, -1, 4, 406\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:37 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.506 times 143.16?\nAnswer: -358.75896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -3, 809, 0 in ascending order.\nAnswer: -5, -3, 0, 15, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 < 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 157*q**2. Let k(x) = 15764011 - 11*x - 15764011. Determine k(u(y)).\nAnswer: -1727*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + -128 + (49 - -1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3936.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 331066677?\nAnswer: 331066676.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 47504*g**2 + 142476*g.\nAnswer: 4*g*(g + 3)*(g + 11873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360884.\nAnswer: 2, 83, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v + 8*v - 7*v - 3*v as h + s*v and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a + 15*a - 702 = 16*a. Let z = -21 + 42. Suppose -z*x + a*x = -15. Calculate the lowest common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*v + 19, 5*n - 4*v - 10 - 3 = 0. Suppose 5*x - 2*x - n = -c, -x + 15 = -3*c. Let z(q) = 2*q**2 - 7*q - 12. What is the tens digit of z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = 12. Let x = 33 + g. Suppose 4*u - 76 = -3*f, -x = -4*u + f + 53. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + f)*(31 + 6*f**2 - 31 + (-5*f + f + 2*f)*(5 - 2*f - 5) + (-f - f + f)*(-4*f - 2 + 2)).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-6)\/(-12*2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-4) + 5*-2. Let t be (r\/(-10))\/(1\/(-5)). Sort 0, 4, t in decreasing order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**6\/120 + n**5\/5 - n**4\/24 + 2*n**3 + 7*n**2. Let d be c(12). Let w(x) = -x**3 - x + 38. List the prime factors of w(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1060\/(-1908)*(24\/20 + 1*-2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.2. Let o = u + 9.7. Let r = 7 - o. Which is the smallest value? (a) -5\/3 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 1, f: 2}. Give prob of sequence fqf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 33 + 71. Let v = 250 - q. Suppose -3*f + 222 = 2*y, -3*y + 3*f + 66 = -v. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = 44 + 51 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -233790791751.\nAnswer: -233790791751.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**2 - 21*t - 726. Let p be d(-19). What is p rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*c. Let t = 3 - 0. Suppose c = -0*a - 3*a + t. Is -2\/9 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2341838\/180)\/(-1) + (-81)\/(-135). Let y = 13013 + r. Calculate the common denominator of -53\/4 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 149. Let h(k) = -1. Let y(r) = 4*h(r) - o(r). Calculate the remainder when y(0) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8338*z**3 - 5181 - 5157 + 10338 + (-z - 2 + 2)*(-2*z**2 - 3*z**2 + 3*z**2).\nAnswer: -8336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-6)\/(-21) - 2620\/(-140) and 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 4*f - 6. Suppose -u + 7 = b, 3*u - 10 = 5. Let o be p(b). What are the prime factors of (-1610)\/(-21) + o\/(-6)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 + 71990*g**3 - g**2 + 59983*g?\nAnswer: -48*g + 431940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1701 or -641252\/377?\nAnswer: -641252\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 561809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-9 - (-3 + -6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*h - 147*h + 79 = -2*o, -31 = -4*o - 3*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k*k)\/k)\/(k*k**(-1\/2))*(k**(-1))**(10\/9)*k**(-3)\/(k**(-2\/3)*k)*(k\/(k**0*k)*k)**(-3) assuming k is positive.\nAnswer: k**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 11*x - 148. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -13. Let d = 177 + -185.3. Let w = o - d. What is the second smallest value in 1, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + (-90)\/(-25). Suppose 0*b + r*b = 24. Let a = 5 + b. Solve -3*u = -5*d + 3 + a, 4*u - 4*d + 16 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*t - 1. Let a be 0\/3 + t*-2. Let d be 0*a*(-4)\/16. Solve -l = -d*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-18 + 6) - -842 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*3*-1 - (6 - (-14180)\/(-1560)) and 51\/10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*h**4 - 61*h**4 + 25*h**4)*(5 + 2 - 1) as p*h**4 + y + t*h + q*h**2 + c*h**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r + 3*r + 38*r**2 - 39*r**2 - 7 - 4*r. Let k(o) = -o**2 - o + 5. Let z be k(-4). Is i(z) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(2\/15)*h))\/h)\/h*h*h\/(h\/h**(-26))*h**4\/(h**(-1\/15)\/h))**(-4\/21) assuming h is positive.\nAnswer: h**(1324\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 4. Let r be m(0). Let u = -431258\/453 - -952. Let d = u + -1349\/2265. What is the third biggest value in r, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3129385 + 72*h + 3129385.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 21, 61, 137, 261, 445, 701?\n\"Answer: 2*j**3 + 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -38*g - 42. Let a(d) = 2*d**2. Determine a(y(m)).\nAnswer: 2888*m**2 + 6384*m + 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u + 137 = 31 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - -6 - -4) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -402\/35 - -56\/5. Sort h, -18, -1\/8 in ascending order.\nAnswer: -18, h, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -23. Suppose 3*i - x - 32 = -3*t, -2*i + 4*t = -12. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Let m = 322 - -43. Let w = 363.8 - m. Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 84 = 2*i, -4*i = -5*k - i + 81. Let h = 57 - k. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/13, -1, -4\/11, 901, 3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15.5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*a + 30 = 2*a, u - 4*a = -15. Suppose 0 = 4*q + 9 - 33. Do u and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 10574175?\nAnswer: 179760975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/203, -333, -2, 2\/149?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 + w. Let s be g(-1). Let b be ((2 - s)*-1)\/(-2). Suppose -h + 4*c - 3 + 4 = b, 3*h = -2*c + 17. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 - 39*z - 317. Give c(9).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + 5*((-4*sqrt(304) - sqrt(304)) + sqrt(304)) + 3)**2)*2.\nAnswer: 243198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.9 and -2.9.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 - 3*k + 2. Let u(b) = -b + 5. Let c be u(3). Let o be s(c). Suppose 4*w + o = 20. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 10. What is the closest to o in 0, 1\/3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 286763 = -2*f, -2*o = 4*f - 64304 - 509242. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -14*g**3 + g. Let n(u) = -9 - 20*u - 14*u + 29*u. Let p be n(-2). Calculate c(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (381\/(-3048))\/((-3)\/(-126)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6 = 24. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + b + 192, 2*z + 0*z - b + 378 = 0. Let p = 208 + z. What is the smallest common multiple of 182 and p?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d\/(d**(1\/2)*d*d))\/d))\/(d**3*d))**30 assuming d is positive.\nAnswer: d**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.6 and 2739000364726?\nAnswer: 2739000364722.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 0*c**2 - 22*c**4 + 2*c**2 + 20*c**4 - c**2 - 2*c to the form a*c + l*c**2 + i*c**4 + m + v*c**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v + 2 = 3*q, 18 = 5*q - v. Suppose 5*g - 14 = 3*g - 5*m, -m - 28 = -q*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245867656 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 9:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/360 - 7*f**4\/144 + f**2 + 29*f. Factor p(b).\nAnswer: b*(b - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.06, 1\/3, 1, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 485\/2 - 243. Which is the closest to -1? (a) -12 (b) s (c) 2\/11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86179, -86180, -86179, -86176, -86171, -86164?\n\"Answer: d**2 - 4*d - 86176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q - 49 + 2114 = -37*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 39. Let j be 30\/(-4)*(l + -3 - -1). Suppose 2*k - 5*k = 5*s + 13, -s + j = 5*k. Solve 16 = 5*t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 + 109*o - 116. Let x be r(29). Is x > -335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1816)\/2043*18\/(-4). Solve 4*y - 2 = -5*j - 1, d*j - y + 16 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4\/5 - 502*d**3\/5 + 930*d**2 - 1570*d - 2600 = 0?\nAnswer: -260, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 28.5115872178?\nAnswer: -28.1115872178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024 - -1.2.\nAnswer: 1.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491183241.\nAnswer: 47, 277, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10345 - 10334. Let h(b) = b**2 - 8*b - 22. What is h(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136548413 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/5841754 and -1\/14604385.\nAnswer: 29208770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*b**3 + 19*b - 10*b + b**3 + 4*b wrt b?\nAnswer: -108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8382 times -4.8?\nAnswer: 4.02336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -1, -16, -4.\nAnswer: -16, -4, -1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*h**5 + 1164*h**3 - 8*h**4 - 580*h**3 - 586*h**3 + (-3*h**4 + 3*h**4 + 2*h**4)*(2*h + 0*h + 0*h).\nAnswer: 36*h**5 - 8*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 1. Let u be c(3). Suppose 2*k - 80 = 4*p, -6*k = -2*k - 4*p - 176. Let w = k - 48. Solve -g - g - u = w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 2. Let t(o) = -2*o**3 + 6*o**2 + 2*o - 12. Let k(f) = -2*j(f) + t(f). Factor k(u).\nAnswer: -2*(u - 4)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -619278 or -619279?\nAnswer: -619278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527580242, -527580243, -527580246, -527580251?\nAnswer: -527580258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t + t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 2322?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + o - 1. Let t be q(1). Suppose d + 13 + 10 = t*k, 0 = -5*k - 3*d + 63. Calculate the greatest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39.1109 + 39. Let d = -190.899 + 191. Let p = d + c. Round p to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30253, 30240, 30227, 30214?\nAnswer: 30201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7144?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0366 times 1699.578?\nAnswer: 62.2045548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3430 = -9*p + 4*p - 3*a, -3*a = -3*p + 2082. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 11. Give d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*g + 6, 2*p + 4*g - 6 + 2 = 0. Suppose -2*w + 4*k + 0*k + 20 = 0, -2*k = -p*w + 16. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((6 - 13)*(-6)\/(-7))\/1. Let g be (-1339 - 1)*(o\/1 - -5). Suppose l = -0*k + 3*k + g, 2*l + 5*k - 2735 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19321, -38647, -57973, -77299, -96625, -115951?\nAnswer: -135277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -31 + 9*s + 3*s + 20. Let y(q) = 3*q - 3. Let l(o) = -6*x(o) + 22*y(o). Let r(j) = 3*j. Give l(r(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27636419911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 + 4550*r + 1057920 = 0. Calculate r.\nAnswer: -192, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.344395 kilograms in milligrams?\nAnswer: 1344395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/443, 2, 3, 1\/4 in descending order.\nAnswer: 3, 2, 1\/4, -2\/443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3045*p - 2536952 = -3133*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 33, 1\/16, 2\/3.\nAnswer: -5, 1\/16, 2\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let q be ((-56)\/m)\/4 - -3. Factor q*n**4 + 2\/3*n**5 + 2\/3 - 4\/3*n**3 + 2\/3*n - 4\/3*n**2.\nAnswer: 2*(n - 1)**2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.08, -5\/4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-24)\/2016*7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -3219, -7085, -12497, -19455, -27959, -38009?\nAnswer: -49605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*s - g + 4, 0 = 4*s + 5*g - 33. Suppose -s*y = y - 9. Let q = y + -1. Solve -4*t - 2 = -c - 5*t, -2*c + q*t - 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539) + 0)*-3*-1*6.\nAnswer: 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 27)*(-3*a + a - a + 4*a + 3*a - 6*a + (0 + 0 + 2)*(6*a - a - 4*a) + 7*a - 2*a - 4*a).\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17 + 169)*14 - 1*5?\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwppepwweepwewew?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -12, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4625, 18385, 41125, 72851, 113569?\n\"Answer: t**3 + 4484*t**2 + 301*t - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -27*h - 3. Suppose -2*z + 3*i - 4 = 0, -z - 7 = -0*z - 4*i. Let v be m(z). Let x be v\/(-9) - (-6)\/9. What is the highest common factor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9880062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 8 + 43 = -33 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - 0.07914815?\nAnswer: -71.07914815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -9*g - 12. Let u(f) = 13*f - 11. Let i(v) = v - 1. Calculate g*u(a) - 22*i(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 73, 3, -3 in ascending order.\nAnswer: -5, -3, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 300*k + 8659. Calculate q(23).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10011101110010?\nAnswer: 10011101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4527 is divided by 91?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/2 + 9*s**2 + 12*s + 9\/2 = 0. What is s?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23d762 + 33b?\nAnswer: 23da9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141691)\/5855 - (-9)\/(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.093 + -0.093. Let t = 0.3 - 0.1. Let z = 19 + -17. Which is the closest to z? (a) r (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3846*y**2 + 0 - 16.\nAnswer: 3846*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12)*(0 - -4). Suppose 4*m = -2*v + 16, 6 = -v + 3*v - m. Suppose 15 = v*b - 1. Solve -r*s = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*f - z + 7, z + 3 = 0. Let o be (-9)\/(27\/6) - f. Which is smaller: o or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089198 to 4 dps.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {u: 2, o: 4, h: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -2, -23.9, 12, 0.5 in decreasing order.\nAnswer: 12, 5, 0.5, -2, -9, -23.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230804 and 9924572.\nAnswer: 9924572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = -5*o + 3*o, 0 = -a + 3*o + 4. Solve r - 2 = -a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) + -1*sqrt(648))*5*5)\/(3*(sqrt(100) - (sqrt(100) + 2*sqrt(100)*-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/8 + (-18)\/48. Let q be (-33)\/(-7) + (-4)\/(-14). What is the derivative of -k*a + q - 1 - 1 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808922019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*x + 1810, -3*a + 2681 = -8*x + 4*x. Suppose -2*b + 298 = -b + 2*v, -a = -3*b - 5*v. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*a - 13. Let n(i) = 8*i - 2. Let q(f) = 9*f - 3. Determine a*n(w) - 2*q(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - -0.4. Let u = c + -0.1. Let b = -0.3 - u. Is b less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534b1b (base 14) to base 15\nAnswer: 3a9c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -248.\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) 5 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 100.07\nAnswer: 3.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 35 = 5*k, 2*k + 28*q - 23*q + 32 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 2, d: 1, h: 7}. What is prob of sequence xdr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136516901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14*i**2 + 0*i**2 + 5 - 52 + i. Let d(v) = v**2. Let z(u) = 4*d(u) + r(u). Differentiate z(f) wrt f.\nAnswer: -20*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 59. Suppose -s = 5*k, -3*p + 589 = -7*k + 2*k. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-28763)\/49308).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 72692559*m**2 = 0. Calculate m.\nAnswer: 0, 24230853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1504496 divided by -2828\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-12)\/8)*-4. Suppose -5*h = -w - 2. Solve 0*j - h*g = -j + 5, 0 = 5*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*(x\/x**(1\/4))\/x*x))**48)**(-1\/4)*((x\/((x**(-2\/3)*x)\/x))\/(x\/(x**(1\/4)*x)))**(-25) assuming x is positive.\nAnswer: x**(-323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 111*f**2. Let k(b) be the first derivative of 35*b**3\/3 - 5858. Calculate k(t(s)).\nAnswer: 431235*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 5*u**3)*(0*u - 4*u + 6*u)*(-1 + 1 - 2)*(4*u + 0*u - 2*u).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 137*p**3 + 6*p**2 - 6. Let f(k) = 3151*k**3 + 137*k**2 - 137. Give 137*b(h) - 6*f(h).\nAnswer: -137*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 4)\/(7 - 332\/48). Let w = 61 - o. Solve w = 2*l + 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/45)\/(10\/(-475)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 41 - ((1 - 4) + -12)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 + 4*l**2 - 20*l + 6. Let v(q) = 6*q**3 + 4*q**2 - 20*q + 7. Let r(a) = -5*g(a) + 4*v(a). Let u be r(-7). Solve 0 = -u*w - 5 - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -3 (c) -3\/10 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-2*o**2 - o**2 + 2*o**2) - o**2 - 2*o**2 + 17*o**2 + (-o**2 + 0*o**2 + 2*o**2)*(2 - 4 + 1).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9207 - -349963\/38. Calculate the common denominator of 71\/4 and p.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -68. Calculate the remainder when ((-9)\/z)\/(3*(-3)\/(-342)) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**3 - 2*p**2 + 11*p - 3. Let b(m) = -3*m**3 - m**2 + 5*m - 2. Suppose -2*n = 21 - 5. Let d = n + 6. Let g(l) = d*o(l) + 5*b(l). What is g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-1 - q + 1)*(15*q - 9*q + 12*q).\nAnswer: 54*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 7. Let t be y(4). Calculate the remainder when 54 is divided by (18 + -13)*28\/t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -12. List the prime factors of z - (-128 - (-4)\/4).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3*(-3)\/7*(-409)\/409. Sort -3, 0, -4, 88, z in increasing order.\nAnswer: -4, -3, 0, z, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 396*f - 253 = 391*f, o = -4*f + 211 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z. Let q(n) = -6*n + 87 - 166 + 79. Give q(o(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -h - 4*h. Suppose -f = 3484 - 3464. Does 55 divide h\/(f\/12) + 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*j - 41*j + 24*j + 1)*(3 + 1 - 5).\nAnswer: -21*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22270 or -22278?\nAnswer: -22278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-484)\/(-77) + (-1 - -3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 3. Let f(c) = 1. Let n(b) = 2*b**2 + 12*b - 21. Let p be n(-7). Calculate p*f(h) + 3*x(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -32*h. Let u(l) = l**2 + l - 2. Let r be u(0). What is the remainder when j(-2) is divided by r\/(-2)*20 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244.1 times -1?\nAnswer: 2244.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6326 or 6300?\nAnswer: 6326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-15) - (-14)\/(-105). Let y(b) = -b**2 - 3*b. Let c be y(-3). Suppose c = -s - 2*t + 13, t - 2*t + 5 = h. Solve 4 = -s*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 81*v**2 - 4 + 122*v**2 + 113*v**2 + 0*v**2.\nAnswer: 154*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917798783?\nAnswer: 19, 167, 919571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from ncnedcddddpendenecd?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:34 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66)*2 - sqrt(66)))*2)\/sqrt(6) + 5 + -1*sqrt(1331))**2.\nAnswer: -90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -112*o - 96\/5 - 14\/5*o**4 + 154*o**2 - 20*o**3 = 0.\nAnswer: -12, -1\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1709 = 2*r + 1575, 2*a - 1328 = -4*r. Calculate the highest common divisor of 84 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o - 65 + 65 + (2*o - 4*o + 3*o)*(-7 + 2 + 3) + (2 - 5 + 4)*(3*o - o - o) + 2*o + 0*o + 0*o + 1 - 1 - 2*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4\/12 - k**2\/2 + 2. Let a(y) be the second derivative of c(y). Let n(w) = -7*w - 5*w + 9*w. Determine a(n(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 5*v - 17439, 23252 = 4*h - 5*v. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 4, -29, 2\/13, -20, 0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243566 (base 7) to base 3.\nAnswer: -2021002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82954.1888523 - -67?\nAnswer: -82887.1888523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006040075 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -370491, -1482176, -3334985, -5928918, -9263975?\n\"Answer: -370562*h**2 + h + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12202130 - 0?\nAnswer: 12202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 18.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (924\/63)\/22*(15\/(-2))\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, 4, 19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 532897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/27, 3, -3\/4, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f)**34*(f**7\/f)\/(f**(-5)*f))**(-1\/93) assuming f is positive.\nAnswer: f**(92\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -4, -0.4, -3\/7, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 29 = -2*l, 0 = -4*l + 6 + 6. Calculate the remainder when (2 + (2 - -83))\/(m - 6) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4070 = 8*u. Let j = -348 - u. Solve 27*b - 10 = j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 25. Suppose -2*k + u = 3*i, 0 = 3*k + 3*i - 15. Suppose h - 3*h = 2*w - 14, h - 51 = -k*w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*i - i - 6 = 0, 2*i = 2*s + 6. Let n be (-14151)\/(2*(-3)\/(-4)). Let d be s\/(-1) - 4 - n. What is d rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 8*l - 390 = -3*f, -l = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1238471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3367, 6752, 10151, 13570, 17015, 20492?\nAnswer: 24007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*n + 15 = 723 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751 = 45*t + 1921 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 18*i**2 - 20*i - 12. Let o be u(16). Let b be (8\/(-10))\/((-4)\/o). Let p be 73\/4 - 4\/16. What is the greatest common factor of b and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22365 divided by -22365\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35068824883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(-66) + (-139)\/((-227821)\/2682).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -33. Solve 0 = 5*r + 5*w + 15, a*w = -4*r + 3*w - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 533 - 529. What is the smallest common multiple of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1225\nAnswer: 4\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 148071747 divided by -1\nAnswer: -148071747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -14 + 18. Which is greater: w or 9\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 28. Let j(p) = 0*p**3 - 2*p**3 - 2 + f*p + 0 - 16*p + 3*p**2. Determine j(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, s: 6, l: 3, d: 2}. What is prob of sequence sh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2048 (base 15) to base 5.\nAnswer: 204233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17389*l**3*z**2 - 13*l**3*z + l**2*z**2 - 1003*l**2 + l*z + 38*z**2 + 2*z wrt l?\nAnswer: -104334*z**2 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 13. Let v be g(-6). Let j(p) = -499 + 499 - v*p. Let z(h) be the third derivative of -h**5\/60 + 9*h**2. Give j(z(y)).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37667, -37801, -38025, -38339, -38743, -39237, -39821?\nAnswer: -40495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akag when four letters picked without replacement from {a: 4, g: 1, k: 3, r: 1, z: 5}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/109, -2, -0.4, 11\/7, -0.9?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219 - -1530\/7. Which is the closest to 2\/7? (a) -3 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540132 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41193 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 14) to base 16\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 7*d - 10. Let i be h(4). Solve i*j = -3*t, 3*t + 5*j - 11 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 570*u**2 - 467*u wrt u.\nAnswer: -12*u**2 + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1254364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/18*4\/(60\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 + 0.14. Which is the third smallest value? (a) -3 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to -2\/1743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((16\/2)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1498 divide 1166942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616430537 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: -36097.5 - 0.2\nAnswer: -36097.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + -17?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*c + 150, -c - 2*c + 43 = -w. Let l be w\/(-5 - -3) - 2. Solve 10 = -z - z - m, -4*z = 4*m + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*2)\/(0 + 27)*39. Let k be (4 - (-26)\/(-6))\/((-3)\/36). Which is greater: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -379871 * 1.9.\nAnswer: -721754.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 17}. Give prob of picking 1 a and 1 e.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - -4 - (-3)\/(-3). Let s(o) = 2*o**2 + 4*o + 4. Let x(a) = 2*a**2 + 3*a + 3. Determine w*x(j) - 2*s(j).\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -14, -1\/6, 6\/11, -4 in decreasing order.\nAnswer: 6\/11, -1\/6, -0.5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63985522 * -0.3.\nAnswer: 19195656.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 250 - 183. Let t = c + -63. Let b = 0.9 - 0.6. What is the second biggest value in t, b, -0.4, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327315.\nAnswer: 5, 465463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 + 208. Let h be 0\/(((-84)\/18)\/x*3). What is the fourth smallest value in h, 0.5, 0.02, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 - -10112001111020?\nAnswer: 10112001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -31*g + 33*g + 10, 0 = -2*i + 4*g - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(28)*6 + sqrt(7) - (0 + sqrt(7))*-6))**2 - ((sqrt(112) - (sqrt(112) - (-1 + 1 + sqrt(112)))) + -1 + sqrt(112) + -4)**2.\nAnswer: 194*sqrt(7) + 2063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*3\/(-18)*0. Suppose 2*h = -p*h + 2. Let r = 178\/9 - 20. Which is greater: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 365939?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = -17, -2*d + 15 = f. Suppose 9 - d = -2*t. Let n be (-148)\/28 - (-2)\/7. Sort 4, n, t in decreasing order.\nAnswer: 4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-250)\/(-4) + 8\/(-16) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 3, y: 2, q: 1, n: 4}. What is prob of picking 2 n and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29489*o = 29508*o + 57 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 + d + 1. Let j = 0 - -2. Let h be f(j). Suppose -h*g = -5*g + 15800000. Round g to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 + 0*d**2)*(4*d - 2*d - 3*d) + (-3 + 0 + 2)*(-32*d**3 - 4998*d**2 + 4998*d**2 - 3).\nAnswer: 31*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.062638252 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 41*w**2 - 404*w + 881. Determine z(25).\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 13. Let a be p(-7). Which is bigger: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/16*2*-1. Let x = 1 + 3. Suppose 0*h = -x*h + 4. Which is bigger: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 - 5*o + 4. Let p(i) = -i**3 - 11*i**2 + 15*i - 138. Let l be p(-13). Let j(f) = 13*f**2 - 7*f + 6. Give l*j(b) - 7*q(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16644 times -28?\nAnswer: -4.66032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 2. Let p(c) = 1. Suppose 3*z = -3*f - 2*z + 83, 0 = 2*f - z - 64. Suppose 0 = 29*w - f*w - 10. Determine w*p(v) + 3*x(v).\nAnswer: 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 5*t - 2. Let r(s) = -s**3 - 8*s + 3. Give 8*i(y) + 5*r(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 778717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*v**4 + 4 + (-2 + 2 - v**2)*(-v**2 + 2*v**2 - 2*v**2) + 716*v**4 - 713*v**4 - 39*v**3 - 5*v**3 as a*v**2 + z + t*v + u*v**4 + c*v**3 and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 30 = -5*f + f, -s - 8 = 2*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -94\/9 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136693643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*m = 0, -155*t + 2*m = -156*t - 3. Let g be (-14)\/4*(-3)\/(-7). What is the biggest value in -2\/11, -2, g, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**30*c**5*c**0*(c**(-2\/11)*c**(2\/11))**44 assuming c is positive.\nAnswer: c**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28537, 28714, 29009, 29422?\nAnswer: 29953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.657 rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2)*(4074*t**3 + 5 - 3 + 10*t**4 - t**2 - 3973*t**3) in the form l + d*t**4 + c*t + o*t**2 + n*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k - 6*k - 2*k**5 + 2430*k**2 - 2423*k**2 - 7 + 168*k**3 + 291*k**3 wrt k.\nAnswer: -120*k**2 + 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*i - 2*u + 7*u, 15*u - 164 = -134 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:22 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, -296073, -1, 0 in ascending order.\nAnswer: -296073, -5, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -3*n**5\/10 - 13*n**4\/6 - 28*n. Find the third derivative of m(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) -1\/4 (d) -103 (e) 6\/12025\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 + 44*g - 4. Calculate d(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = 44*a + 47*a + 5793 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) - -4*sqrt(297)) + sqrt(297))\/(sqrt(30)\/(sqrt(60)\/sqrt(6)))*-1.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10548055 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15623353*y**5 + 400*y + 2177?\nAnswer: 312467060*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.2 + -21.9. Let x = 1.2 + -0.2. Which is the second smallest value? (a) 1\/2 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + f - 3 = 0, 4 = -3*b + 7*b - 4*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3564242 - 2?\nAnswer: 3564240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j - 70. Calculate f(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -9465.\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by 83?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_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: Suppose 25 + 2 = r. What are the prime factors of (r*(-4)\/(-12))\/(6\/20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 625200?\nAnswer: 625204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193951832 is divided by 48487958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1784 and 55016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 8. Let n = 79 - 98. Let p be s(n). Find the common denominator of (52\/5)\/((-282)\/p) and 46\/5.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 13*g - 1439, 4*g = 2*b + 6*g - 970. What is the remainder when b is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 978*z**3 - 57*z**2 + 4709*z + 22. Let n(k) = -140*k**3 + 8*k**2 - 673*k - 3. Let d(w) = -15*n(w) - 2*o(w). Find the second derivative of d(r) wrt r.\nAnswer: 864*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/36 + 6\/(-8). Suppose -b - 9499999 = -6*q + 5*q, w = 4*q + 4*b - 38000004. Round q to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 57. What is t(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 2*f + 3. Let c be m(-3). Let v = c + 8. Is 2 a factor of v\/(-25) + (-26)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/11 - 18*h**3 + 3192*h**2\/11 - 1088*h - 15360\/11 = 0. Calculate h.\nAnswer: -1, 8, 12, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1891811 and -86.4?\nAnswer: 1891724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13)*r)\/r**(7\/2))\/(r*r**(-4\/5))**(-13\/5) assuming r is positive.\nAnswer: r**(-749\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 6*g - 5*g - g + 3*g**3 in the form f*g**2 + a*g**3 + t + h*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 24*j**2 + 28*j + 26. Let c be g(-22). Suppose -105 = 3*o - c. What is the remainder when o is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 6*r + 30. Suppose -20 = 4*h, 4*b - 5*h - r - 22 = 0. Suppose 7 = k - 0*k + 2*d, b*k - 3*d = -15. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 1. Let x be (-2)\/(16\/d)*-2. Put -5, x, 5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 < 7.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 2*n - 2. Let w(r) = -r + 5. Let h be w(-4). Let l(z) = -1 + 4*z + 4*z - h*z. Determine -i(o) + 2*l(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 29*c - 41. Let l be g(31). Calculate the greatest common divisor of 1449 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)*r*r**(2\/9))\/(((r*r**(3\/5))\/r)\/r**(-5)) assuming r is positive.\nAnswer: r**(-469\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w + 44 = -28. Let u be (70\/(-42))\/(0 + (-1)\/3). Suppose -m = 3*m - 8. Sort w, u, m, 4 in increasing order.\nAnswer: w, m, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 462*a = 458*a - 5121, 3*q + 2*a - 15377 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, o: 11}. What is prob of sequence io?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -121*p. Let x be h(-1). What is x rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2643.000002606 + 2643. What is j rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 30, 42, 56?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 43*u - 65*u + 2 in the form w + o*u and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.997262*-71.\nAnswer: 354.805602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o + 71. Let m be x(-8). Let f(y) = -2*y - 6. What is f(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u**2. Let g be (1 - (9 + -6))*2\/(-4). Give t(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**6\/5 + n**4\/12 - 12*n. What is the third derivative of k(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chrschh. Give prob of picking 1 s, 2 h, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 74618404?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 163 = -2*c + 6*r - 62, 0 = -3*r + 120 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m - 107*m - 4*v - 1 = 0, m = v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 39*t**2 - 40*t + 40. Let i be c(-40). Solve 5*h = 5*k + i, 0 = 3*h - 5*k + 4 - 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93\/2232*120)\/(10\/(-36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1496\/1870)\/((-6 + 4)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h. Suppose h = -2*w + 3*j + 170, 5*w - 438 = 2*j - j. Let o = w - 49. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)\/a*a**(1\/2))**(-38)\/((a**(-1\/5))**(-5\/19))**(-3\/2) assuming a is positive.\nAnswer: a**(13721\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b1 + 7a0c0?\nAnswer: 7940c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s + 6. Suppose 10*x = 13*x - 15. Let h be z(x). Put 3, h, -3 in descending order.\nAnswer: 3, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 6*k - 3. Suppose 4*y - r = 28, -3*y + 0*r - 2*r + 32 = 0. Calculate the remainder when d(4) is divided by (11\/6)\/(y\/48).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m + 468\/5 - 2\/5*m**2 = 0. What is m?\nAnswer: -18, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**32\/(p**(-2\/27)\/p*p*p**(-13)\/p))**5 assuming p is positive.\nAnswer: p**(940\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 21*s**2 + 103*s - 1619. What is t(21)?\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24 - 15 - 13)*((-3)\/2 - 1). Solve -6*r - d = -8*r - w, r - 2*w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.77 - -78. Which is the biggest value? (a) 1 (b) 3\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -5.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/11, 2, 0.2, 0.0033 in descending order.\nAnswer: 2, 3\/11, 0.2, 0.0033, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074086 divided by 1037043?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675696327.\nAnswer: 1675696327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -13. Let c = q - 1. Let y = -9 + c. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(108) + sqrt(108) + sqrt(108) + -2*sqrt(108) + 0 + sqrt(108))*-3)**2 - (sqrt(108) + sqrt(108)*1 + -2)**2*4) + 5.\nAnswer: 192*sqrt(3) + 2149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 - 5364*r + 1811711. Let d(i) = 17*i**2 - 10732*i + 3623423. Let f(w) = 5*d(w) - 9*h(w). Find b such that f(b) = 0.\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2567809946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w + 3*c + 61, 0 = 5*c - 25. Solve 0 = w*t - 20 - 156 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 26*o - 146. Let f(p) = -55*p + 261. Let g be f(5). Let u be z(g). Calculate the greatest common divisor of 6 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 44, 114, 212, 338, 492, 674?\n\"Answer: 14*o**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 486 * -1.151.\nAnswer: -559.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 52154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5 + 3*s - 18 + 5 - s. Suppose -z = -5 - 11. What is the lowest common multiple of f(19) and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20353092 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-127)\/35)\/((-1320)\/625). Let z = -1\/264 + p. Determine f so that -4\/7*f**2 - 16\/7*f - z = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.9 - -17. Which is the second smallest value? (a) y (b) -0.03 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(4 + 0 - 3)*(11 + 6 - 7)*(0*r - r**5 + 0*r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 2*g**2 - 4*g**3 + (g**2 + 3*g**2 - 5*g**2)*(-2*g + 0*g - g) as d*g**2 + b*g + j + z*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/((-4)\/(-6)). Let z be (-14)\/(-3)*(3 - 0). Let i = -9 + z. Solve -u - 20 = -i*l, 2*u + 2*l + 2 + n = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/260 and 121\/230?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-91)*(-7)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7819972 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -1)**2 + (-3*sqrt(832))**2)*-5.\nAnswer: -38485 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 + -2637 - (86 - 0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72847656 - -4?\nAnswer: 72847660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5516)\/306)\/(69\/(-10615068)). Let i = 2773170 - v. Let a = -4\/69 - i. Sort 2, -2\/19, a in descending order.\nAnswer: 2, a, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.9 + -22. Let s = 1.1 + l. Put -0.3, s, -0.4 in decreasing order.\nAnswer: s, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586889803.1 rounded to the nearest 10000?\nAnswer: 586890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127838680?\nAnswer: 2, 5, 67, 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1 + -1)\/(-1). Let s(h) = 8*h**3 - h**2 - h. Calculate the remainder when s(k) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14213732 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*-16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-7 - -8) + 0 - (8 - -1) - -18)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 295967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2690 + 4849. Suppose 0 = 4*f + 5*h - n, 4*f - 6*h + h = 2209. What is the greatest common factor of 26 and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 0.3, -0.1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192 divided by -764412.\nAnswer: -16\/63701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x - 70*x**3 + 11*x + 6*x**3 + 1 + 18*x - 45*x in the form q*x**3 + j*x + k*x**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 52680.64 decades?\nAnswer: 5268.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 + -0.6. Let t = 42 - 125\/3. Let r = 4\/33 + -49\/132. What is the third smallest value in v, t, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2661, -5324, -7987, -10650?\nAnswer: -13313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -181 and -235207\/1305 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72460761.\nAnswer: 3, 1559, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-3)\/(-22)*-3 and 99\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 13*z = -9. Let f = 11 - 8. Suppose -f*b - 1 = -4*b. Put b, -3, z in increasing order.\nAnswer: -3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 4 (c) -0.5 (d) -0.07 (e) -231\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9384 and 4301.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -57 + 40c4?\nAnswer: 406c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/7)\/b**4*(b*b*b**(1\/3)\/b)\/(b\/(b*b*b**(2\/11)*b)))**(-19) assuming b is positive.\nAnswer: b**(4009\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/70 - (-64)\/224. Sort 8, y, -28.\nAnswer: -28, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -453 and -258319?\nAnswer: 257866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9225 - -9222. What is the closest to r in -2\/7, -0.02, -10, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ec2 + -3?\nAnswer: ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 6*j + 3*j)*(-7*j + 2*j - j) + (4*j - 3*j + 2*j)*(-4*j + 0*j + 2*j) to v*j**2 + a + g*j and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 67*j**2 + 197*j + 341. Calculate the remainder when h(64) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let v(r) = 24124069*r - 2. Give u(v(k)).\nAnswer: -24124069*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.4, 0.107, 0.3 in increasing order.\nAnswer: -1.4, -1, 0.107, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 22*i**2 + 22*i - 18. What is the units digit of y(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 12*w**2 + 4*w + 16. Let u be o(-12). What is the lowest common multiple of 20 and (-3)\/(12\/(-50))*u\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27064622 divided by 6.\nAnswer: 13532311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let s(p) = p + 5. Let j be s(-6). Let c(k) be the second derivative of k**5\/10 + k**4\/6 - 2*k**3\/3 - k**2 - 4*k. Give j*c(o) + 2*l(o).\nAnswer: -2*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/(-1) - (-3780)\/2550?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*z, 4*w - 3*z + 4*z = 0. Suppose -4*s - 1 = o + 2, -s - 5*o + 4 = 0. Suppose 4*i - l = 14, i - 2*l = l - 2. Put i, s, w in decreasing order.\nAnswer: i, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3532833 to three dps.\nAnswer: 5.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*v, -4*s + 8 = v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3422\/4265 - 2\/853. Find c, given that l + c**3 - 1\/5*c**5 - 8\/5*c - 1\/5*c**4 + 1\/5*c**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*k**5 + 3*k**2 + 760*k wrt k.\nAnswer: 1640*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:30 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j*j**(10\/3)*j*j)\/((j*j**(6\/7)*j*j*j)\/j**(-1)) assuming j is positive.\nAnswer: j**(199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {l: 7, b: 2, d: 6, t: 3, i: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -78*s - 449. Determine f(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.41, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 - 6*n**2 - 6*n - 16. Let m(j) = -8*j**3 + 7*j**2 + 7*j + 17. Let y = 1954 + -1960. Determine y*m(k) - 7*c(k).\nAnswer: -k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -45486\/127, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 453. Let y(v) = 4*v**2. Give y(x(l)).\nAnswer: 4*l**2 - 3624*l + 820836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.199114 weeks to seconds.\nAnswer: 120424.1472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*6*(12\/189)\/(-2). Is b less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5184276, -5184024, -5183774, -5183526?\nAnswer: -5183280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073932963 rounded to seven dps?\nAnswer: -0.0007393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 35*k**2 + 8*k. Let m(z) = 4*z + 13*z - 39*z + 15*z + 48. Let l be m(8). Let w(p) = -23*p**2 - 5*p. Determine l*w(i) - 5*c(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 43213214?\nAnswer: 43213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172964 and 1408?\nAnswer: 5534848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 375025\/77 + 0 + 0. Let o = 4866 - s. Let v = 285 + -889\/3. Find the common denominator of o and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-1 - -4 - 5 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2543\/15 + 1\/(-3). Let p = 170 - w. Let r = 18250 - 18262. Which is the biggest value? (a) p (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*(-9)\/(-9)*42\/(-308)*-22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43739 is divided by 425.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(12)\/sqrt(18)) + -4*sqrt(343)*2)*6.\nAnswer: -318*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3+-5773\nAnswer: -5770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.087us in nanoseconds?\nAnswer: 54087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/4 - (-100)\/16. Sort j, 4.77, 1 in descending order.\nAnswer: 4.77, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -40. Let q = -166\/3 + 56. What is the second smallest value in n, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c3a399 - 4?\nAnswer: -6c3a39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*b + 2*b. Let c be 3\/6 - 20\/b. What is the third derivative of -3*d**2 + 7*d**3 + 0*d**2 - c*d**3 - d**3 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 s when three letters picked without replacement from zzczvzvczszzz?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-9)\/18*(-150)\/(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 5. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120916 is divided by 16050?\nAnswer: 8566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144808 and 56?\nAnswer: 1013656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14428.511 and -0.4.\nAnswer: -14428.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -97?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3320 - 3320.19928. Let f = 0.2 + i. What is f rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4*j**2 - 2*j**2 - j**2 - 11.\nAnswer: j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439470634 is divided by 1353?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d + 224. Let t be i(14). What is the highest common divisor of 464 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1026 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520\/570*38*2\/(-32)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -v - 1981, 5*s + v = 1074 + 915. Suppose 0 = -14*h + 569 + s. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f + 1 - 42*f - 7*f**2 + 22*f. Calculate j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 2*g - 3*g. Let x(y) = -3*y + 5. Let f(m) = m - 2. Let t(i) = 5*f(i) + 2*x(i). Let r(b) = -4*b. Let p(s) = -3*r(s) + 14*t(s). Calculate p(c(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 1024321984*a**3 + 1024321985*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 4, 7, 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124157711360694 take away -0.2?\nAnswer: 124157711360694.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8090819?\nAnswer: 11, 735529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16c2b (base 14) to base 16\nAnswer: -dfb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 50. Suppose 627*r - 231 = 606*r. What is the greatest common divisor of r and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*c**2*y**3 - 22*c**2*y + 3*c**2 + 2*c*y**2 + 34*c*y - 39*y**3 - 2*y**2 - y wrt y?\nAnswer: 150*c**2*y + 4*c - 234*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -7 in increasing order.\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1317434?\nAnswer: -1317439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.19 + -29. Round u to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.3 - 48. Let t = -482\/15 - -32. What is the biggest value in d, t, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*a - 282 = -6*u, 2*u - 2*a = 180. Let b be 28\/21 + u\/(-6). Which is smaller: b or -13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.493? (a) -0.03 (b) 6 (c) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 593 - (-5 - (-4)\/1). Let y = -400 + d. Is y a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = v - 2*v + 17, -5*v + 5 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:40 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4405 or -62\/133?\nAnswer: -62\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l - 212*l = -131*l - 8470 + 1750 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -736398 - -6988073. Suppose -5*c = -z - 3748325. Round c to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/7)\/(((q**(-1\/14)*q)\/q)\/q*q)*q**(-1\/4)\/(q\/(((q**8\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(127\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (3 - 1) - 1. Suppose t = n + 2 - 1. What is the common denominator of n\/(-2) + (-105)\/8 and 7\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*s + 1. Suppose 0 = -4*v + 14 + 10. Suppose -4*t = -v*t + 50. Solve -s*q + 4 = r - 1, -t = -5*r + 2*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(14)\/(sqrt(7)*4))*4)**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w - 4*x - 68, 3*w + 2*x - 102 = 0. What is the remainder when 108 is divided by ((-2)\/2 + w)*(-4)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 + -185. Suppose 3*v - 4*v + 18 = 0. Calculate the lowest common multiple of v and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 21*b**2 - 12*b + 13. Determine l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 43875951?\nAnswer: 43875963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4657*x**5\/5 + 167654*x**4\/5 + 2151606*x**3\/5 + 11270864*x**2\/5 + 18600241*x\/5 + 7986\/5 = 0. What is x?\nAnswer: -11, -3, -2\/4657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0\/((-6)\/(-3)). Suppose z + 11 = -g*p, -5*z - 25 = 2*p + 2*p. Which is the closest to -0.1? (a) z (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 2, x: 4, m: 1, j: 4}. Give prob of picking 1 x and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389320911 to the nearest integer?\nAnswer: 19731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 85241*x + 9369. Is w(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3900 = -50366*l + 50316*l for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23726000 rounded to the nearest one hundred thousand?\nAnswer: -23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90405 and 308361?\nAnswer: 226645335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 38, -1047 + 524 = 5*h - 6*d - 612 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttmm when four letters picked without replacement from mkmktt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22835627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 157414 + 35?\nAnswer: 157450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 28 = -12*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 18 + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f**4*f)\/f)*f))\/f*f**6*f*f**(-1)*f**(-6\/5)\/f assuming f is positive.\nAnswer: f**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 14) in base 11?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79, 157, 235, 313, 391?\n\"Answer: 78*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -87082, -4, -6, -3, 21 in decreasing order.\nAnswer: 21, -3, -4, -6, -87082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:29 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81446?\nAnswer: 2, 193, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.988 (b) 3 (c) -4 (d) -1\/4 (e) 0 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from aakkaaakakakaa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751509 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16511*-46.796.\nAnswer: -772648.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1023, 2163, 3303, 4443?\nAnswer: 5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.899 take away 9645?\nAnswer: -9645.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*g + 218, -3*a + 153 = -g + 6*g. Is (3 - a\/(-4))*8 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -0.6 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 7. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50088457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 11*n**4\/4 - 2*n**3 - 11*n**2\/2 - 48. Let d(f) = 5*f**3 - 3*f**2 - 5*f. Calculate -7*d(r) + 3*x(r).\nAnswer: -2*r**3 + 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20780, 20779, 20778, 20777, 20776?\n\"Answer: -p + 20781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 2499090.3847?\nAnswer: 2499090.3947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -9 (c) -16 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78658311.\nAnswer: 3, 26219437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - -1. Let i = 23 + -16. Let h = -11 + i. Which is the closest to w? (a) 1 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25425665?\nAnswer: 5, 5085133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/(-30))\/(418\/(-190)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -4326?\nAnswer: 4325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479 + (2 - (-5 + (-3)\/(-1)))?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 98222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -0.199477186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80401 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38548.\nAnswer: 2, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -608370 - -5464006\/9. Let f = b - -22499\/18. Find the common denominator of f and 17\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8897*n**3 + 299*n**3 - 5583*n**3.\nAnswer: -14181*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.64262 and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -332, -337, -342, -347, -352?\n\"Answer: -5*j - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d**3 - 5\/672*d**8 + 0*d + 0 + 5*d**2 + 3\/80*d**6 - 1\/12*d**4 + 1\/15*d**5 - 2\/105*d**7. Determine j, given that t(j) = 0.\nAnswer: -2, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-901) - 494\/(-2652)*-6?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 12606272?\nAnswer: -12606260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**1*p*p**(-4) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 147272995 to the power of 1\/2, to the nearest integer?\nAnswer: 12136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-122067018)\/(-99) - (-12)\/(-66). What is z rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5456)\/682*3*(-1)\/6*-11?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 652*t + 631*t - 1303*t - 2*t + 0*t + 4*t + (-3 + 3 - 1)*(3*t + 3*t - 4*t) - 2*t - t + 4*t to j*t + n and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6.3490443366 - -5\nAnswer: 11.3490443366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-774) - 16\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-2) + (-13 - -18). Suppose y - 16551 = -n*y. Suppose 4*r + 505 = 4*i + 4925, -5*r + 3*i = -y. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 - 2*n + 10. Let z be d(7). Let l = z - 17. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 37. Let g be f(-11). Suppose 4*m - 11*m = -7. Let u be 49\/((-2)\/6*(-3)\/m). Calculate the greatest common factor of g and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -20. Let u be 1 + r + 35\/(-5). Do -8 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-378))\/((-29)\/14)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 68 = -240. Suppose -9*y = d*y - 11532. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1367, -2752, -4137, -5522, -6907, -8292?\n\"Answer: -1385*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 106, 113, 130, 163, 218?\n\"Answer: l**3 - l**2 + 3*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 12*z**2 + 5*z - 1. Let m(y) = -y**3 + 13*y**2 - 5*y + 2. Let p(n) = -6*c(n) - 5*m(n). What is p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Suppose -3*f = 2*f + 4*q - 14, -a = -f - q. Suppose 0 = f*s - 10*s. Which is greater: -6\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or 0.21?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 36*t**2 + 29*t**2 - 2 - 1 in the form k*t**2 + r*t + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 211071843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29289 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.3888 at least 1.802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11219985443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24213 is divided by 3411.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 5*t + 2*r, 0 = 3*t + 5*r + 7. Suppose -t*g - 1 = -4*g - 5*w, -3*g + 2*w = -4. What are the prime factors of (33\/44)\/(g\/(-8)) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*f + 3, 0 = 2*f - 12 + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Let m(b) be the third derivative of b**5\/15 + b**4\/4 + 2*b**3\/3 - 4*b**2. Let d(z) = -m(z) + 5*p(z). Determine d(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1861336 divided by 904\nAnswer: -2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/7))\/(a**(1\/3)\/a))\/(((a*a**(11\/4)\/a)\/a)\/a*a*(a\/a**(-12)*a*a)\/a))**(-6\/5) assuming a is positive.\nAnswer: a**(239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 - 13*m - 36. Let t be j(-3). Solve -t*d + 2*d + 50 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(16)\/sqrt(2)))\/(sqrt(120)\/(sqrt(48)\/sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86709456 divided by 43354728.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622419991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -4, -0.4, -1.3 in decreasing order.\nAnswer: -0.4, -4\/9, -1.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175*h - 405*h - 158*h + 173*h)*(3*h + h - 3*h).\nAnswer: -565*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 31 = -3*c, -3*a + c = -4 + 45. Let t be (-2111)\/(-3 + (-44)\/a) + -3. What is t rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10004455, -10004495, -10004535, -10004575, -10004615?\nAnswer: -10004655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*k**3*o*y + 12*k**3 - k*o + 9*o*y + 26*y wrt k.\nAnswer: 57*k**2*o*y + 36*k**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15706 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/8 - (-1897)\/4. Suppose 3*y - m = -2*y. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -97.6? (a) 0.03 (b) 2 (c) 3 (d) -0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6)*((-3)\/(-9) + -1)*927\/(-2163)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4 - 3*d - 1 + 2. Let i be 6 + -9 + (-1)\/1. List the prime factors of q(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8 and -55\/773148.\nAnswer: 1546296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:12 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1)))**34)**16*((h**6\/h)\/h*h\/h**(2\/11))\/((h**0\/h)\/h)**(-15) assuming h is positive.\nAnswer: h**(5707\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - o. Let w = -101 - -113. Let k(j) = 6*j**2 + 12*j. Give w*r(p) + k(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - o - 2 = 1 + 1, -10 = 5*r + 9*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 + -135. Suppose 9 - o = -6*y. Let j(k) = k**2 + 2*k - 4. Let t be j(-4). Solve f + 4*c = -t, 0 = 3*f - 0*c + 3*c - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -36.83. Put 2\/21, 0.3, w in descending order.\nAnswer: 0.3, w, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -4, 6, 20, 38?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224602 - 224474.103. Let z = 280 - 152. Let h = z - x. What is h rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-7))*l**(-11)*l)**(-2\/7) assuming l is positive.\nAnswer: l**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 1331 - 311. Round i to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230311222 + -21?\nAnswer: -1230311303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -5 (c) -1\/25 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -50 - (5 + 1 + -5 - (-8 - -3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1520)\/85)\/(-19))\/(11\/187)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.81512246086.\nAnswer: -3.81512246086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393 = -109*u - 347*u + 299 + 220 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:39 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 72. Let m = v + -36. What is the greatest common divisor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3094*g - 117620. Give y(38).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2598 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4\/2) + 44\/(-24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -16*r + 1 - 7*r**3 + 22*r - 51*r**2 + 63*r**2. Let o(s) = 6*s**3 - 13*s**2 - 5*s - 1. Calculate -5*i(t) - 6*o(t).\nAnswer: -t**3 + 18*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -1 + 13\/2*j**2 + 0*j + 16\/3*j**3. Find the second derivative of n(y) wrt y.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.91 + -0.8.\nAnswer: 14.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2 - 0. Let v be (g - -4)\/(4\/10). Let f be 3\/v - (-108)\/20. Solve f*p = p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -54. Let x = z - 33.5. Sort -4, -5\/3, x in descending order.\nAnswer: x, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 6 - 1 + 2*u - 5*u - 2*u.\nAnswer: 4*u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 1103, 3585, 8339, 16103?\nAnswer: 27615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425211136.\nAnswer: 2, 7, 237283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 6:50 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366553 divided by -24.\nAnswer: -366553\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 9\/2*v**2 + 0 + 12*v - 1\/4*v**3 - 1\/8*v**4. What is b in r(b) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41080 = 206*q - 154*q. List the prime factors of q.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2320540 + -12?\nAnswer: 2320524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(330) + sqrt(330))\/sqrt(11))\/sqrt(10).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agazaazaatggt. What is prob of sequence tag?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10 - 98 = 2*y + 3, -106*p = -5*y - 371 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*g = 361*g + 330 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 57*h**3 + 2*h**2 - 127*h - 129. Determine g(-1).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3*q + 8. Let i be d(2). Solve v = -2*z - 2, z + 5*v = -4 - i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1505, -5\/6, -2, -1\/6, 0, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-47)\/235*-125.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/5 (b) 0.1 (c) -1\/8 (d) -8936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7918099 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/(2 - 3). Let y = -2870 + 2875. What is the nearest to -2\/7 in n, y, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 3*b + b + 3*y, -3*b + 199 = 5*y. Suppose -b = 4*p - g, 2*p + p = -5*g - 30. Which is smaller: p or -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3324, -6644, -9964?\nAnswer: -13284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -f + 138, -3*h = 3*f - 349 - 59. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7550.3 - 7537. Which is the fourth smallest value? (a) 0 (b) -5 (c) 0.3 (d) s (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Let z(p) = -2*p**3 + 3*p**2 - 9. Let d(g) = -g**3 + g**2 - 5. Let w(b) = 5*d(b) - 3*z(b). List the prime factors of w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 9. Let g be 3\/(2 - 8 - -5). Let i(w) = -4*w + 17. Give g*i(h) - 5*l(h).\nAnswer: 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*v + 5. Let g(j) = -7*j - 38. Let a(m) = -11*m - 56. Let y(q) = 5*a(q) - 8*g(q). Let h be y(-21). Calculate the highest common factor of v and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2\/109, 54 in descending order.\nAnswer: 54, 5, -2\/109, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-22 - -29))\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffffjjjfy. What is prob of sequence fjyf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -2)*-2 - (-9 + 1). Solve -6 = -2*r - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.08 (b) 0.4 (c) -49 (d) 23 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Differentiate -41 - 41*r**2 + 22 + 6*r**x with respect to r.\nAnswer: -70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -8*m + 21. What is the least common multiple of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 37707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-7)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36.69. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-920)\/(-120)*(-8)\/(-552)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -4\/9*m - 1\/18*m**4 + 4\/27*m**3 + 17 + 1\/9*m**2. Factor w(l).\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*j - 173 - 25, -2*j + 3*y = 64. Let m = j + 170. Let a be (-2)\/(-6) - m\/(-36). Solve -4*t + 2*t = -6, a*s + 4*t - 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -883*b - 145 + 72 + 191*b + 73 as r*b + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:52 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = 4*c, 2*c - 7 = -o + 3*c. What is the first derivative of 9*m**4 - 17 + 10 + 0*m**o wrt m?\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19*s**2 + s. Let l be m(3). Let x be l\/(-30) - 2\/(-5). Let i be (x\/5)\/((-6)\/(-15)). Solve 0*t = i*y - 5*t + 40, -4*y - 30 = -2*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmpsrpmppmmzrrsppm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 15742221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2829 + -2829.12. Let t be -1 - -1 - 2\/9. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/4 + 5303*o**2\/2 - 31791*o\/4 - 95427\/2 = 0 for o.\nAnswer: -3, 6, 10603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 621231*d**4 + 23*d**3 + 2*d**2 - 4*d - 5457 wrt d?\nAnswer: 14909544*d + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*m**2 - 3555940*d + 29*m**2 + 1684*m - 1 wrt d.\nAnswer: 2*m**2 - 3555940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2. Let z(k) = -3243763*k. Calculate c(z(r)).\nAnswer: 84175987201352*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**20)**(8\/15) assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 0.4 (c) -17\/2 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12417.1 - -12417. What is the nearest to g in 0.1696, 3\/2, -2\/3?\nAnswer: 0.1696","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19)\/(-19) + 1*413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0 - 3*b**4 + 63\/4*b**3 - 60*b + 48*b**2 - 3\/4*b**5 = 0.\nAnswer: -5, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/24)\/((-5915)\/(-182))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 13*a**2 - 13*a + 8. What is the smallest common multiple of 2 and t(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of g**6\/360 + 11*g**5\/120 + 5*g**4\/12 - 17*g**3\/3 + 11. Let k(t) be the third derivative of a(t). Calculate k(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)\/n*n*n\/((n**3\/n)\/n)*(n*n*n**(2\/7)*n)\/n*n**(-11))**5 assuming n is positive.\nAnswer: n**(-1045\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175787.76 * -3.\nAnswer: -527363.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -706 + 173*t + 706 in the form v + x*t and give x.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 8*k - 9. Let t be r(-6). Suppose t*b - 4*b + 50 = 0. Suppose -3*u + 3*n = 2*n - 52, 0 = -3*u + 2*n + b. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g - 164927 = -166383 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**3 - 3*p**2 + 133*p - 40. Let f(q) = -62*q**3 - 16*q**2 + 797*q - 238. Let z(a) = 6*f(a) - 39*l(a). Factor z(v).\nAnswer: 3*(v - 4)*(2*v + 11)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-900)*-20*(-5)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(-16)*o*o*o*o**(-3\/4)*o*o**(-2) assuming o is positive.\nAnswer: o**(89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 1*(-1 - 2). Let z(a) = -b*a**2 + 32*a - 32*a. Let p(k) = -7*k**2. Give z(p(v)).\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 235, -905, -3 in descending order.\nAnswer: 235, 0, -3, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 3. Suppose -q = -c + 2*d, 100 = 2*c + 2*d - 0*d. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 - 1311\/7. Suppose 4*q = 3*w + 21, -4*w - 9 = q - 0*q. Sort w, j, 2.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 15\/21 + 24\/42. Which is the closest to -7? (a) 1 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.23 + -0.23. Let k = 547.86 + -565.8672. Let o = x + k. Round o to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (113 + -52 - 50) + 31.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*j - 57295, -17*j - 57325 = -2*g - 10*j. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*c**3 + 161*c**3 - 588*c**3 + 205*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(200))\/sqrt(4))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -55676?\nAnswer: -55674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 12*o**2 + 13*o - 20. Let k be p(11). Let a be (900\/21)\/k - 12\/28. What is the highest common divisor of a and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*x - 521527, 17*x - 2*o + 391133 = 20*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1342518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/56*1)\/((-144)\/(6 + 2))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 85016100 divided by 17003220\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068454.5 months in centuries?\nAnswer: 890.37875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.69761 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10153 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**2 - 9*h**2 + 11*h**2 - 2*h**2.\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26481 divided by 2037.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39883?\nAnswer: 39883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 29*x - 32*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -189*s**2. Let y(x) = 55*x**2 - 4*x. Let r(h) = -155*h**2 + 11*h. Let l(d) = -4*r(d) - 11*y(d). Calculate w(l(z)).\nAnswer: -42525*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2934038.\nAnswer: 2, 941, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -18. Let u(q) = q**2 + 2*q - 4. Is u(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:37 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -7*j + 3*u + 1, 5*j = -2*u + 16. Let n(t) = 4 - t**3 - 14 + 4*t**j + t + 11. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + 0*x**3 + 2*x**2 + 5*x**3 + (-x**2 + 0*x**2 - x**2)*(3*x - 11*x + 3*x) in the form m*x**2 + b + g*x**3 + d*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -3. Let s be 1\/1 - (b - -6). Let y be s\/22 - 0\/1. Put y, 0, -4 in descending order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3271 is divided by 1329.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 1. Let i be (45\/36)\/(1\/(-4)). Is y(i) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 12*q - 6. Suppose 6*f - 54 = q. What is the lowest common multiple of f and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)\/((v*v**(-3\/2)\/v)\/v*v)*(v**(-2))**9 assuming v is positive.\nAnswer: v**(-301\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*d - 307*d + 15 = -5*r, -4*r = 2*d + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g = -28*g - 235 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 6 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 638285.\nAnswer: 5744565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t + 13*t - 36*t + 3*t**2 in the form d*t**2 + v*t + r and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + (3 - (-13 + 18 + 1 - -14)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (47\/(-4))\/(10\/(-100)) + (-110)\/(-220) is divided by (2 - 8)*5\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r - 52 = 0. Let a(z) = -z**2 - 3*z + 1. Let w be a(-6). Let q = r - w. Solve -f = -q*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 449375 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slsslklkcssltllf. Give prob of sequence kftl.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w + 2. Let g be j(2). Let b = -1 + g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**5 + 0*d**4 + 0*d**4)*(-3 - 2 + 3)*(5 - 26 - 9).\nAnswer: 60*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 8*o**2 - 2*o - 9. Let h(u) = 7*u**3 - 17*u**2 + 3*u + 19. Let y(a) = -2*h(a) - 5*n(a). Suppose -2*i + 11 = -f, -f + 1 - 2 = 0. Give y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20402*x**2 + 808*x - 8 = 0 for x.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 213322 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -2\/45*q**5 + 0*q**2 - 28 + 2\/27*q**3 - 1\/18*q**4 + 0*q + 1\/27*q**6. Suppose h(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -13*t**6\/30 - t**5\/20 + t**4\/24 + 24*t**2. Find the third derivative of m(o) wrt o.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/13 (b) -2.7 (c) 4 (d) 676 (e) 4\/7 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.4 (c) 0.2 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -6 - (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 148, 155?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.83 - 44.03. What is the closest to 1\/4 in -2.4, -5, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 620 - 386. Calculate the greatest common divisor of c and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 9*q + 32. Solve 6*a = 3*y + 2*a + 27, 4*y + q = -4*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2 - -2)\/8). Let v(x) = 6*x - 4*x - 2*x + z*x. Let j(t) be the first derivative of -40*t**3\/3 + 1. Give v(j(u)).\nAnswer: -80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3828163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 48.35. Let h = s + 6.95. Let j = 7 - h. Round j to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zallaaal. Give prob of sequence ll.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 483 - 206. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*w**2 + 338*m**3*w + m*w**2 + 3*m + 2023*w**2 + 7*w wrt w?\nAnswer: -4*m**3 + 2*m + 4046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/4, 0.46965, -103 in increasing order.\nAnswer: -103, 1\/3, 0.46965, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + (-1)\/((-4)\/(-16)))*-3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + -15)*2\/(-8). Sort c, 0.5, 5 in descending order.\nAnswer: 5, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19044153 to the nearest integer?\nAnswer: 4364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 1324*b - 177650 = 0. What is b?\nAnswer: -475, -187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 944, 1351, 1718, 2045, 2332, 2579?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -2, 5, -4, 488 in increasing order.\nAnswer: -4, -2, 1, 2, 4, 5, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 208*z**2 + 4 + 21*z + 2*z**3.\nAnswer: 2*z**3 + 208*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5050 - 9162 = 508*s + 29416 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 8) to base 2.\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/33 and 26\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + 7. What is the least common multiple of i and (-2 - (-8 + 4)) + (1 - -15)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 10*v + v**3 - 20*v + 10*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10413255 (base 6) to base 4\nAnswer: 1030130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 72400 to the nearest 1000.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*q + 6. Suppose q*a + a - 23 = 5*k, a = k + 7. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635501 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)\/(13\/(-2)). Let w be (-2)\/(-15) + 6 + (-192)\/90. Which is the closest to 1? (a) v (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 - z**4 - 39\/20*z**5 + 0*z**2 + 0*z**3 - 3\/10*z**6 + 45*z. Determine t so that f(t) = 0.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + k**2 - 2*k. Let i be 30*(3\/(-4))\/(120\/128). Let n be -3*1 - (i\/8 - -2). Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(76\/(-18)))\/(7\/((-21)\/(-18)))*-104?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s, 3*s = -3*d. Suppose d*x = 4*x. Suppose x = c + 4*n - 1, 3*c + 2*n + 0*n - 13 = 0. Solve 3*j = -3*o + 3, -c*j - o + 5 = 2*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*k + 2641 = -391 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 8. Let t be r(-6). Let i be (-3)\/((t\/(-6))\/((-18)\/(-54))). Calculate the remainder when (-32)\/(-6)*4\/(-8)*i is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 11:28 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 10*j + 41 + (-9 + 9 - 9*j)*(-1 - 1 + 4) - 4*j + j + 2*j - 2*j + 3*j + j + 1 + j - 1 as m*j + s and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 847512*a*g + 8721*g - 3 wrt a.\nAnswer: 847512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*258\/4. Let v = d + 298\/7. Let m = 62 - 249\/4. Which is greater: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + (-16682)\/969 + 38\/(-323))\/(1\/36)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1331) - sqrt(1331)*2) + -4*(0 + sqrt(1331)) + (sqrt(1331) + -1)*-6 + (sqrt(1331) - (sqrt(1331) + 0)*-3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -5, -4, -3 in descending order.\nAnswer: 106, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200))\/sqrt(10)*3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = -y + 2*y, -5*m + 6 = -4*y. Suppose -4*f - 4*o + 40 = 0, f = -0*f + 2*o + 16. Solve -5*u + 2*r - 13 = 0, 2*r = 3*u - y + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9163*n - 119092. Determine z(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.9. Let f = 22356 - 22346. Suppose 2*r + 2 = -6. Which is the nearest to 0? (a) r (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*y - 5 + 30 + 22 - 20 + 33)*(-6*y + 0*y + 5*y) in the form o + m*y + k*y**2 and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23596316297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -226? (a) 0.1 (b) -0.2 (c) -2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 15. Suppose -7 = y*p + 4*h, -4*p + 2*h + 14 = -2*p. Suppose 0*c - 131 = -c + p*j, c - 127 = j. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 4 = -10*a + 5*o, 0 = 5*a + 5*o + 40. Let s(x) = -4*x + 2. Give s(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (-46 - -30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 42*x = -34*x + 46, 5 = -5*a - 3*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12504 * -639.22.\nAnswer: -7992806.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (-459)\/17*32\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 25*s - 9*s - 27*s. Let q(c) = -13*c. Give q(u(v)).\nAnswer: 780*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311060, 311762, 312464, 313166, 313868?\n\"Answer: 702*n + 310358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwrrrrwrr. What is prob of picking 2 r?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6*(-195)\/(-90)*2913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 82*g**2 - 260*g**2 + 223*g**2. Let y(d) be the third derivative of -d**5\/10 - 5*d**2. Give y(u(s)).\nAnswer: -12150*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*m + 92, y + 5*m - 46 = -0*y. Calculate the remainder when 135 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -15 (b) 2.40897 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.8 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -6*u - 15680. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 14) in base 4?\nAnswer: -3202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 - 2066*s + 8344.\nAnswer: -(s - 4)*(5*s + 2086)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + -1 + 3.\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 271*q**4\/24 - 166*q**3\/3 - 163*q**2. Differentiate f(b) wrt b.\nAnswer: 271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(80) - sqrt(5))*-1 - sqrt(45)\/(sqrt(36)\/sqrt(4)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2)**(-47)*(i*i**(3\/2))\/(i\/((i**(-6)*i)\/i)) assuming i is positive.\nAnswer: i**(-291\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qykykqqqkk. What is prob of sequence yqqk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*r**2)*(0 + 0 + 1)*(-3 + 1 + 0) + (-2*r + 4*r - 3*r)*(r - r - 2*r) + 3*r**2 - 2*r**2 + 0*r**2 - r**2 + 0*r**2 + 3*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446208*m - 446208*m - 10*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/(-2))*-12. Let y(t) = t**2 + 3*t + 5. Is y(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, -22\/19, -2, -279 in descending order.\nAnswer: 137, -22\/19, -2, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3940552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054.663 nanometers in micrometers?\nAnswer: 2.054663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 10*p**3 + 33*p + 29*p + 1 - 92*p + 28*p in the form x*p**2 + z*p**3 + b*p + j and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 955853\/976 less than 980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:37 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*k, -2*c - k = -8 - 14. Suppose 0 = -8*f + c*f - 74. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 15 = -48. Suppose w*x = -12, -3*k + 5*k + x - 4 = 0. Solve 4*l - l - 9 = k*p, 0 = -5*p - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 34*l - 35*l - w, 0 = -2*l + 3*w + 84. Solve -l = 427*z - 436*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319*m + 289*m - 269*m to the form p*m + b and give p.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 3*n - 3*n - 4*n**3 + n**3.\nAnswer: -3*n**3 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(36 - 16 - 23)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, -53, -58, -67?\n\"Answer: -2*y**2 + 5*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h + 5*h**3 - 9*h - 3 - 3*h**2 - 2*h**3 + 3*h - 3*h in the form w*h**2 + s*h**3 + v + r*h and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1657120776?\nAnswer: 2, 3, 37, 1866127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 433.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.3714297 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 20*u - 23*u, 0 = -5*n + 2*u + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8\/9)\/t)\/(t\/(t\/(t*t**6))))\/(t\/t**(1\/2)*t*t*t*t**0) assuming t is positive.\nAnswer: t**(-223\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Suppose -w*s + 454 = 3*a - 785, 0 = -5*s. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4325*z**3 + z - 1615.\nAnswer: 25950*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 757 and 7.791?\nAnswer: 749.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 times -2.3?\nAnswer: 402.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70\/53 - -4667\/1166. What is the common denominator of 15\/74 and x?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 27*h**2 - 25*h\/2 + 675.\nAnswer: (h - 54)*(h - 5)*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 848544 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/((-33)\/6)*(5 + 13\/26). Let a(c) = -10*c + 107. What is a(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 - 3*r - 836403 - 2*r + 6*r + 836409 - r.\nAnswer: 19*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 17*v**5\/5 + 4*v**3\/3 + 1227*v + 80. What is the derivative of q(w) wrt w?\nAnswer: 68*w**3 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzmmgzgmmzmmzhmhz. What is prob of sequence zh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1412 and 77\/4.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967 = -7*f + 5090. Suppose f = 8*o - 435. Suppose -2*b + 3*h + o = -314, -h + 898 = 4*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/9 + 38\/(-14). Which is the closest to -0.2? (a) -3\/5 (b) 5\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 588*w**2 - 346917*w\/2 + 344569.\nAnswer: -(w - 587)**2*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215 and 40.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(15\/6) - -145. Let j = 34 + q. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*f + 221, -5*f = -10*f + 8 - 23. What is the remainder when a is divided by (78\/(-4))\/(9\/(-24))?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48 and -41\/8676.\nAnswer: 8676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2 - 2)*(3*r - 2*r + r) - 42*r**2 + 584 - 584 + (6*r - 3*r + 0*r)*(2*r + 0 + 0).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227728?\nAnswer: 2, 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4412013 - -13?\nAnswer: 4412026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i. Let d = 0 + 0. What is the closest to d in 5, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 26 = -3*b, -c + 4*b - 2 = -0*b. What is the remainder when (-8 + -6)*(45\/c + 1) is divided by 3\/3 - 16\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 432*o. Let w = 811 + -808. What are the prime factors of d(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = 0. Suppose -2*x + 7*m - 18 = 3*m, 16 = x + 3*m. Let j be 7 + (-1 - (3 - x)). Solve -p + 5*c + 21 = i, -c - 12 = -4*p - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559 and 68081?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -21) + -24 - -50.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -100*(-5)\/((-100)\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (3 + -1)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyvqvqv. What is prob of sequence vyyv?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 4*o**2 - 5*o + 4. Let u be p(2). Let z be (1 - 3)*(-19 + u). Suppose -5*b + 530 = -5*x, -3*b - z*x + 163 = -180. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*q, -3*q - 4 = -0*p - p. Let w be 16799988\/8 + (-3)\/p. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 20 = 2*t, 0 = 5*t + c - 0*c - 23. Suppose 5 = -0*a + a. Let m be 12\/15*a\/2. Sort t, m, 3 in descending order.\nAnswer: t, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(56\/(-14))*20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 91*b + 6111. Determine o(45).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8410 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 - -98. Let f be b - 3 - 3 - 1*-4. Suppose 0 = z + 4*z - u + f, -2*u = 2*z + 6. Let p(n) = 11*n**2 - n - 1. Calculate p(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.043 and -5.\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.7641204 rounded to 1 decimal place?\nAnswer: 79.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 562805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15401513 divided by -15401513?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*q**3 + 3*q - 785 wrt q.\nAnswer: -81*q**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -15. Let h = -0.28 + -26.72. Let m = h + 26. What is the closest to m in -0.5, 1\/3, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, n: 1, u: 2, q: 1, x: 2}. Give prob of sequence tnt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 253 + 247 = 0. Suppose 0 = k + 4*x - 15, 4*k = -5*x + 81 - 21. Solve -3*f - k = 5*y, -2*f - y - 8 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -31, -35, -21, 17, 85, 189, 335?\n\"Answer: x**3 - 23*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/44, 5, -2\/5, 6\/23195?\nAnswer: 6\/23195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2342*f - 134669. Calculate a(-59).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**4 + 81 + 13\/2*p**6 + 0*p**3 + 0*p**5 - 3\/2*p**2 + 9*p. Find the second derivative of o(c) wrt c.\nAnswer: 780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72)*1 + sqrt(72)))\/(sqrt(4) + (sqrt(4) - (sqrt(24)*-2)\/sqrt(6))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*2*sqrt(51)\/sqrt(3) + ((sqrt(85) + sqrt(85)*-2 - sqrt(85))*1)\/sqrt(5) + -2.\nAnswer: -14*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -117. Suppose -2545 = -m*r + 1199. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -10*p + 14. Let v(z) = -z**2 + 5*z + 5. Let u be v(5). Suppose 6*k = -3*i + 4*k + 6, u*i - k = -3. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/12 + 3\/(-2). Let h(a) be the first derivative of 3 + 7\/18*a**4 + 0*a + 2\/9*a**2 + f*a**3. Suppose h(d) = 0. Calculate d.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -10. Let y(k) = k**3 - 2*k**2 - 8*k + 3. Let m be y(4). What is the units digit of (-4)\/12*o*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = -15. Suppose -3*m + 9 = -2*k, -5*k - 10 = -3*m + 17. Let q be (-46)\/k + (-18)\/27. Solve 0*f + v*f - q = -i, 13 = -5*i - 3*f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*f**2 + 14*f**2 - f**3 + 2 - 46*f**2 + 15*f**2 in the form r*f**3 + a*f**2 + p + w*f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) -255 (d) -0.655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3985.\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6)*(-84)\/(-98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1325791\/67359435 + 70\/31403. What is the common denominator of -29\/300 and c?\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*w = -37, 1 = -w - 4. Let m(r) = 2*r**2 - 31*r + 36. Let j be m(14). Is 422\/(4\/j + (-16)\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1.38353 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.015 and -2272334572.529?\nAnswer: 2272334572.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/14 + (-1)\/2. Suppose 1 = -u*w + 9. Solve 0 = s - w - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4677067589 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(462)*-2)\/sqrt(11))\/(sqrt(6) - (sqrt(6) + (sqrt(66) - sqrt(66)*-2)\/sqrt(11))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -87. Suppose 4*m = 12, q = s - 0*m + 5*m - 163. What is the highest common divisor of s and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21352 - -21356. Let p = -0.1 - 0.9. Let g = -0.5 + 3.5. What is the third smallest value in h, p, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.801 times -0.02\nAnswer: 0.09602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:02 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/8 + 1)*(-1 - -23). Find the common denominator of (o\/4 - -3)\/(56\/(-76)) and -49\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 2*z**2 + 4*z + 8. Suppose 2 + 2 = d. What is the tens digit of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -31. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11770*s - 563670 + 2034920 for s.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 12000*c + 843 + 11999*c as g + z*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*r - 5*f, -r = -4*r - 3*f - 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 630*a**6 - 2*a**3 + 2*a**2 - 447.\nAnswer: 75600*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2*l**3 - 15*k*l**3 - 106646*k + 764*l**3 - 571*l**2 - 2*l - 3 wrt k.\nAnswer: -2*k*l**3 - 15*l**3 - 106646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133286.6 months in centuries?\nAnswer: 944.4055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21304, -21402, -21572, -21820, -22152, -22574, -23092, -23712?\nAnswer: -24440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35\/4, -6, -27, -32\/3?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 48*y - 1. Let t be q(1). Suppose 0 = -5*g - 0*m + m + 110, 2*g - m = t. Let a = -70 - -111. Calculate the remainder when a is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 103*h**2 + 2303*h - 60527. Give v(26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*c + 29*c - 1075 + 349 + 23*c in the form k + w*c and give k.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -63*n + 2. Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a03c1 (base 16) to base 11.\nAnswer: 409116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -4*d + 5, 0 = d. What is the least common multiple of (5*2)\/1 - -1 and 15\/a*12\/(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + -34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 less than -125\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*p + 2403, -204*h = -207*h - 4*p + 2431. What are the prime factors of h?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 20 = b, -2*b + 12 = v. Find g such that 0*g**2 - 3*g**v - 388*g + 394*g = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 828 = -7*y. Suppose y = 3*q + 2*q - 4*z, -2*q + 5*z = -124. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2*sqrt(612) + sqrt(612) + 2 + sqrt(612)) + -4 - (sqrt(612) + 0 + sqrt(612) + sqrt(612) + -2 + sqrt(612) - (-5 + sqrt(612) + -2))) + 3)**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 87*a + 4. Let q(n) = -44*n - 1. Calculate 2*c(r) + 5*q(r).\nAnswer: -46*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n**3 - 22716*n**2 + 910260*n.\nAnswer: -4*n*(n - 39)*(4*n + 5835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 113*q**3 - 23*q**2 + 5*q - 5. Let x be o(3). Is 2853 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -716, -928, -1140, -1352?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 2. Suppose 5*t = -479 + 469. Let v(g) = -43*g + 28. Let s(y) = t*r(y) - v(y). What is the first derivative of s(n) wrt n?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 111939360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*12\/(-14). Let w be -197 + 192 + (-13)\/(-3). Which is the third biggest value? (a) -0.1 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1806*q**2 - 1806*q**2 + q**3 + q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 0.5, 3, -4, -3 in descending order.\nAnswer: 3, 0.5, 1\/10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 = 23*h - 1026 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -13. Let c = b - -106. Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = 2. List the prime factors of (7*-6)\/(f\/(-2)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437995, -875986, -1313977, -1751968, -2189959, -2627950?\nAnswer: -3065941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*a**3)*(2 - 1 + 0) - 5*a**3 - 3*a**3 + 5*a**3 + (-a + a - 2*a**2)*(a + a - 3*a) in the form i*a + y + k*a**3 + q*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*u - 19, -8 - 9 = -4*u + n. Let h = 5 - 0. Suppose -w + 0 = -h. Calculate the highest common factor of w and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -3 - 35\/((-70)\/12). Solve 0*q = c*q + z - 15, -5*z = 4*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 78978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 10 - 30. Let h(z) = 3*z**3 - 4*z**2 + 2*z + 2. Suppose y - 2*g = -0*g + 4, -g + 1 = y. Calculate the least common multiple of h(y) and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-345)*(-3)\/(-4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -44253?\nAnswer: -44251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*f - 32 wrt f.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + 2*f - 5*f, 0 = h - 5*f + 4. What is the remainder when (-4)\/(-3)*(h - -8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1622.\nAnswer: 9732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 g when four letters picked without replacement from {a: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3116 - -3126. Let z be 2*-1 - (-26 + 0). Suppose v*y = 6*y + z. Let n(r) = r**3 - 5*r**2 - 4*r + 7. What is n(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2834053, -2834056, -2834059?\n\"Answer: -3*x - 2834050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 261409, 522359, 783307, 1044253, 1305197, 1566139, 1827079?\n\"Answer: -i**2 + 260953*i + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -165*b**2 - 2160*b - 211. Determine f(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659753 bigger than 1659738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/143106 and -13\/366.\nAnswer: 143106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7895?\nAnswer: 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6573, -3\/2, 3, -2, 723 in decreasing order.\nAnswer: 723, 3, -3\/2, -2, -6573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*t - 22*t + 2*t to x*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 3074759?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -146 = -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733474 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 - 13451014?\nAnswer: -13451424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 38026.78km?\nAnswer: 38026780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 - 4*f**2 + 4*f**2 to the form d + m*f**2 + g*f and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10)*(-1 + 6). Suppose -2*p + 4 = -2*o, -4*p = -p. Put 5, o, l in decreasing order.\nAnswer: 5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25869 by 34.\nAnswer: -25869\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/16*1 - (-7)\/14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2957227028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/8*8\/(-3). Let t = -19 + 34. Suppose -3*o + 2*o = 4*g - t, 4*g - 3 = 3*o. Solve -g*y - r = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 2913*i + 2828523\/2.\nAnswer: 3*(i + 971)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/8*k**4 + 0*k**2 + 3\/40*k**5 - 3*k + 0*k**3 + 18. Suppose d(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4358, -4324, -4290?\n\"Answer: 34*b - 4392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*m + 4*m**2 + 0 - 28\/5*m**3 + 12\/5*m**4.\nAnswer: 4*m*(m - 1)**2*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(180) + (-1 + sqrt(180) + 3 - sqrt(180)) + -4 + 1 + sqrt(180) + -3*sqrt(180)*1 + -3)*-1)**2.\nAnswer: 48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124.6? (a) 1\/3 (b) -5 (c) -2\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 93, 235, 467, 813, 1297, 1943, 2775?\nAnswer: 3817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 60*j**2.\nAnswer: -3*j**2*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421 - -421.4. What is the smallest value in -1\/4, 56, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 18. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43, 9, -85, -269, -573, -1027, -1661, -2505?\n\"Answer: -5*d**3 + d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 5*s**2 + 7*s**2)*(-24*s**3 + 25*s**3 + 18*s**3).\nAnswer: 247*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -0.550554.\nAnswer: 0.449446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12520367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-14 - (-16 - (17 - 11)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.4, -1\/6, -3, -1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.7123 micrometers to centimeters.\nAnswer: 0.02187123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*s - s. Suppose -s*r = -5*r + 2. Let j be r + -1 - (1 - 5). Which is the biggest value? (a) 3 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 336 = 71*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - 2*u + 1. Let m = 89 - 94. Let c(y) = y + 6. Let o be c(m). Calculate q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27\/(-15) - -2 - (-492)\/15 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t + 5*t - 2 - 8. Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6110 and 1365?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.9 (b) -0.3 (c) 0.3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -588543*j**3 + 204*j**2 - 959*j wrt j?\nAnswer: -3531258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8698 and 1.11?\nAnswer: 8696.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvieq. What is prob of sequence iq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124721*k**2 - 12 + 12.\nAnswer: -124721*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-3 - -5)*1. Suppose -2*d - 4*q + 60 = 0, -d - j*q = 3*d - 95. Let p = 4 + 16. What is the least common multiple of p and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94109101*b**2*s**2 + 718190*b*s**2 + 9*b + s**2 wrt b?\nAnswer: 188218202*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196987996 to the nearest integer?\nAnswer: 14035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2467 and 0.17486?\nAnswer: -431.37962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen halves of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.62699 tonnes to micrograms.\nAnswer: 9626990000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50221955249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 5*j - 54 - 15*j)*(-j**2 + 0*j**2 - 6*j**2 + 2*j).\nAnswer: 70*j**3 - 27*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/8 - 11807049*u**4\/8 + 35421135*u**3\/8 + 35421145*u**2\/8 - 20662329*u\/2 - 17710569\/2 = 0.\nAnswer: -1, 2, 3, 11807046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5664232 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*l + 34 = 0, -2*w + 0*l - 18 = 3*l for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27986 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = 4*z. Suppose -2*p - z*p + 17485 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*j + 4*j. Suppose -3*z + 20 = -l, j = 4*z - l - 9. Let f = z + -1. Solve -4*y + f = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*x - 17 = 0, -x = -2*t + x - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438062138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1025664676*v**2 - 13579024*v + 44944.\nAnswer: 4*(16013*v - 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -41\nAnswer: -38\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 19*l. Let h(o) = o**3 + 7*o**2 + 2. Let x(n) = n**2 - 5*n - 7. Let k be x(5). Let r be h(k). Let t(y) = 2*y - 3*y - 2*y + r*y. Calculate i(t(j)).\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -7)\/(2\/(-30)*-3). Find the second derivative of 6*m + r*m**2 + 23 - 41 + 20 wrt m.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2 + 3*j - 8. Let m(l) = -5*l**2 - 2*l + 7. Calculate -2*c(r) - 3*m(r).\nAnswer: 3*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 - -262. Let d(c) be the first derivative of 3\/8*c**q + 1\/12*c**3 + 1\/2*c - 8. Suppose d(s) = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 + 678\/(42\/7). Solve -k*z - 20 = -133*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 161616864 - 161616414 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155 - -346 - 216) + 33 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 188719821 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.03 + -0.03. Let v = -2 + 5. What is the biggest value in v, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -5, 4, -0.4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(132) + sqrt(132)*-4*-3)\/sqrt(12) - (sqrt(55)\/sqrt(5)*-6 - (-3 + sqrt(99) + sqrt(11)))))**2.\nAnswer: -2208*sqrt(11) + 93248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 22 = -5*g, 11 = -v - 3*g - 1. Suppose -33 = -v*m - 4*f, f - 6 = -m - 2*f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**2 - 6*v. Suppose 8*o - 14 = -54. Let j(h) = -9*h**2 - 5*h. Calculate o*x(m) + 6*j(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*o**6 + 12*o**4 + 2*o**2 + 391 wrt o?\nAnswer: 2760*o**3 + 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 59*z + 135. Let d be g(-3). Let n(v) = -v**2 - 2*v - 1. Let k(o) = 3 + o**2 + 3*o - 1 + 0. Determine d*n(t) + 2*k(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 9*m**2 + 5*m - 4. Let n be w(-8). What are the prime factors of 56\/n + 3\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*g - 18033 = -4983 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -346030, -346680, -347330, -347980, -348630?\n\"Answer: -650*w - 345380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.98 - 0.02. Let b = q - 1. Let o be -2*(-5)\/40*10. What is the second smallest value in o, 1\/3, b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3 + 8*v**2 - v**2 - 1 + 7. Let t be u(6). Suppose 0 = 8*r - 3*r - t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 100011001010110110010011010?\nAnswer: 100011001010110110010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -q + 4*q - 6, -3*q + 16 = -2*t. Let c be -2*1\/(-2) - -1. Suppose 86 = -c*b + q*b. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25717716 by -6.\nAnswer: 4286286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836989 by 1933.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17085 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639322.\nAnswer: 2, 311, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.138, -1889976, -4?\nAnswer: -1889976","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -5 (c) -3\/5 (d) 233423 (e) 0.5 (f) 3 (g) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 - (78 + -44).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50395048 smaller than 50395049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 89. Find the second derivative of 6 - 36*n**4 - 6 + 51*n**w - 38*n wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/322 and -9\/626198.\nAnswer: 4383386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(288) - 1*sqrt(288)) + 0)**2 - (-4 + sqrt(20)\/(sqrt(40) - sqrt(10)) + sqrt(8)\/(sqrt(8)\/sqrt(2))).\nAnswer: -2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, and 1 g when three letters picked without replacement from cogpffgfcfoczff.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Solve 3*c + s*c = 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*1 - (11 - 9). Let z be l\/(-28) - (-312)\/14. Differentiate -20*b - 2 + z*b + 14 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -2, 0, -32, -104, -222?\n\"Answer: -h**3 - 8*h**2 + 61*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1824, -1253, -684, -117, 448, 1011, 1572?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 9*u**2 - 17*u + 5. What is q(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*m, -4 = -b + 2*m + 8. Let t be 170\/45 + ((-125)\/45 - -3). Does b = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r + 17. Let z(o) = 3*o + 12. Let u(s) = 5*c(s) - 7*z(s). Let b be (1\/(-3))\/(5\/(-15)). Determine u(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 38 = 8. Calculate the remainder when 25 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 2*l + 13. Let u = 95 - 95. Let j be w(u). Suppose -4*c - 3*v = v - 4, -2*c = 3*v + 1. Solve -j = c*k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 - 6. Let v be -5 + 6 - (-4)\/(-2). Let g(l) = l**2 + 1. Calculate v*z(k) - 5*g(k).\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Let t = 22 - 19. Suppose 2*d = -t*h + 29, 2*h + 6 = -w. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -816, 0.04, -341 in increasing order.\nAnswer: -816, -341, 0.04, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 72634.\nAnswer: -1\/72634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 133*i**2 + 163*i - 21685. Determine s(133).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16141458.\nAnswer: 2, 3, 29, 92767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 1. Let v(l) = 4*l**2 - 21. Let j(c) = v(c) - 3*z(c). Let q = 98 - 103. Let f be j(q). Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 217, 321, 423, 523, 621?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Give c(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8364 and 11?\nAnswer: -31.2004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r + 2117. Let z(v) = -v + 700. Determine -3*w(q) + 10*z(q).\nAnswer: 2*q + 649","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -433165 (base 8) to base 6\nAnswer: -3035205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163260243 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -10*l + 433. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3862\/5 + -23687\/30. Find the common denominator of 27\/16 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:34 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/42 - 4*k**3\/63 + k**2\/21 - 8. What is u in s(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlgdgegwsegggg. Give prob of picking 1 e, 1 s, and 2 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10 + 5 - g + 5. Let y be p(0). What is the remainder when 83 is divided by 15\/1 + (y - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4558*a**2 + 3*a + 9. Let x(w) = -4557*w**2 - 3*w - 10. Let d(k) = 6*t(k) + 5*x(k). Let r be d(-4). What is r rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 317698444 and 7147.\nAnswer: 7147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(-2)*21\/(252\/(-48))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-136)\/2*(-221)\/(-6188)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(539)*-5*-2)**2*6.\nAnswer: 46569600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzb when three letters picked without replacement from {h: 2, b: 1, x: 1, u: 1, z: 5}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734906723 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/19 - 8344*o**2\/19 + 8342*o\/19.\nAnswer: 2*o*(o - 4171)*(o - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**3 - 20*u**2 + 22*u + 14. Give i(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/3 - 110*d**4\/3 + 324*d**3 + 11232*d**2 - 177408*d + 165888 = 0. Calculate d.\nAnswer: -18, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 0*s**2 - 2\/105*s**7 - 14*s + 0*s**3 + 1\/15*s**4 - 3\/25*s**5 + 2\/25*s**6 + 0. Factor v(i).\nAnswer: -4*i**2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 + 111*k - 179.\nAnswer: -3*k**2 + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i - 4098. Let l be q(63). Which is the fourth smallest value? (a) -7 (b) -4 (c) l (d) 2\/3 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(1 + 8). Let j = 8 - z. What is the units digit of j\/(6\/15 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -350, -353, -354?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-210))\/((-85)\/1190)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w**2 - 2596*w**4 + 1290*w**4 + 1309*w**4 - 1 + 3*w in the form h + f*w**2 + g*w**4 + d*w + c*w**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 34, 50, 48, 16, -58, -186?\n\"Answer: -2*r**3 + 9*r**2 + 9*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.24059677532 + 0.2\nAnswer: -0.04059677532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/7 - 17\/28. Let a(r) be the first derivative of 1\/4*r - q*r**2 + 1\/12*r**3 - 1. Solve a(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 20 - (18 - -22 - 49).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10904444 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42a0c - 22?\nAnswer: 429ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 354\/5*a**3 + 0 - 1232\/5*a**2 + 1568\/5*a + 2\/5*a**5 - 44\/5*a**4 = 0.\nAnswer: 0, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.07, 216, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 471, -4\/33, -1\/6.\nAnswer: -1, -1\/6, -4\/33, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k**7)**(-27) assuming k is positive.\nAnswer: k**(-297\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/6 + 2810*a**2\/3 + 7102766*a\/3 + 3792783232\/3.\nAnswer: -(a - 7616)*(a + 998)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 147\/35)\/(-1) - 3. Let 2\/5*v**2 + k*v - 2\/5*v**3 + 0 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 31 = -3*r, -u - 17*r + 15*r = -1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/854845?\nAnswer: 2\/854845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15 = -2. Let g = -19 + w. Let y(a) = -a**3 + 9*a**2 + 36*a - 1. Let v be y(12). Put 2, g, v in descending order.\nAnswer: 2, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 a, and 1 x when four letters picked without replacement from {x: 3, h: 9, m: 2, a: 2}?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10510492 to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u**2 - 2*u + 1. Let f be k(1). What is the derivative of 2*t**2 + 7 + 0*t**2 + f wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -0*l - 8001. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/3 - 32*n**4\/3 + 28*n**3 + 784*n**2\/3 - 3430*n\/3.\nAnswer: 2*n*(n - 7)**3*(n + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/4)\/(49500\/(-1800))*48\/2.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -53. Suppose -9*s - m = 16. What is the units digit of (-10)\/(25\/5) - 75\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.29 less than -785?\nAnswer: -793.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 216788459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**2 - 7*l**2 + 7*l**3 + (2*l**2 + 2 - 2)*(-3*l + 0*l + 2*l) - 4*l**3 - l**3 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(684))**2 + sqrt(684) - sqrt(684))*3*4 + 0 - 1*((sqrt(684)*-2 - sqrt(684))*-2 + 4).\nAnswer: -36*sqrt(19) + 32828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13520 and 178.5196?\nAnswer: 13698.5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58638 is divided by 58622.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7251769?\nAnswer: 7, 29, 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17518 is divided by 1588?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134711370 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:28 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 2 - 2 + 0*u. Let v(j) = -17*j**2. What is v(y(m))?\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 10, i: 8}. Give prob of picking 2 u and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(39)\/sqrt(12))**2 + sqrt(13))*-4 + ((sqrt(52) + sqrt(2548) - sqrt(13)) + -4)**2.\nAnswer: -128*sqrt(13) + 2928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1970 and -1883.\nAnswer: -3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112051528 a multiple of 558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 511794 and 5112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let l be 6*3\/(-6) + 2 + 6. Suppose 3*f - 294 = -s*t - 0*t, l*t = -f + 118. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 43844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.29 and 299.\nAnswer: 86.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 30 = 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/(-6)*(-2 + -1). Let p(k) = -k**2 + 5*k - 4. Let y be p(3). Suppose 0 = -3*b - 3, 4*m - b = y*b + x. What is the highest common divisor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 12*c**4 + 1 + 20*c**4 + 12*c**2 - 9*c**4 to the form n*c**4 + u*c**2 + p + g*c**3 + t*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/3, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 equal to -143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*n**2 + 5745 - 5745 - 443*n**2.\nAnswer: 1418*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 + 6*z - 3. Give o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -766, -742, -744, -784, -874, -1026?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) -0.06 (d) -2 (e) -49\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60856.\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1576 and 43143.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49842894 rounded to the nearest 10000?\nAnswer: 49840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 49cd?\nAnswer: -49c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:29 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 2*i + (-5 + 0 + 1)*(0*i - 5*i + 2*i))*(5*i + i + 0*i)*(2*i - 3*i - 4*i).\nAnswer: -330*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4728.205*-0.02.\nAnswer: 94.5641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = 2200 - 3064 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15982*i - 623287. Calculate o(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from fcqqfzqfqqifxzqiiiqz.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**3 - 13*w**2 + 67*w + 22. Let g(m) = -10*m**3 - 15*m**2 + 65*m + 15. Let c(v) = -5*b(v) + 6*g(v). Factor c(u).\nAnswer: -5*(u - 1)*(u + 4)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -283.773 and -153.7?\nAnswer: 43615.9101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 8. Calculate t(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/3)\/(i**(3\/7)\/i))\/(i**(-8)\/(i**7\/i)) assuming i is positive.\nAnswer: i**(271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21367*t. Let b(l) be the second derivative of -l**3\/6 - 4649*l. Give b(v(z)).\nAnswer: 21367*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-1)\/((-2)\/4). Let r be 3*((-10)\/a - -2). Let u be ((-6)\/(-8))\/(69\/(-368)). Are u and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 minus -10228?\nAnswer: 10227.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -30*i + 11. Let d(v) = 2*v. Let r be d(2). Suppose 2*z = -3*g - 24, 2*z = r*z - 6. Is a(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1112, 712 in decreasing order.\nAnswer: 1112, 712, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7244 + 50706\/7. Let n = -2.8 + 3. Which is the nearest to -0.2? (a) 0.4 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let f(d) be the first derivative of -1130*d**3\/3 - 1452. Give s(f(j)).\nAnswer: -3830700*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 11*x**2 - 2*x - 6. Give p(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2. Let m(h) = 447*h. What is g(m(u))?\nAnswer: 399618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3933432 is divided by 655568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(242) + 1 + -4 + sqrt(242) + 0 + -4)**2.\nAnswer: -440*sqrt(2) + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61800494 to the nearest integer?\nAnswer: 7861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01598609693 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97704.\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = 12. Let h = -3 - u. What is the biggest value in 0.1, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3562 - 3*p**3 + 1742 + 1784)*(3 + 3 - 5)*(-3 + 3 - 4*p).\nAnswer: 12*p**4 + 144*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b + 276 = 61*b. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 3:23 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 2701391.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 7*n - 2. Let l be s(-6). Suppose 0 = 4*j + l*o - 44, -2*o = 10 - 4. Calculate the highest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*s + 43 - 47 = 0, 5*s = 5. Sort 29, p, -1, 9 in increasing order.\nAnswer: -1, p, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*((6*(-2*sqrt(891) + sqrt(891)))**2 - sqrt(891)) + -2)*-6.\nAnswer: -962250 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/267725 and -83\/107090.\nAnswer: 535450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173.0535 + -164.05. Let q = w - 9. What is q rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 781 by -12.\nAnswer: -781\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 7. Suppose -2*q - r = -5*m + m, -3*q = -2*m + 17. Is m equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83055 divided by 5.\nAnswer: -16611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3. Let m(w) be the third derivative of -w**4\/12 - w**3\/2 - 51*w**2. Let j(u) = -4*g(u) + 3*m(u). Let t(k) = -7*k + 4. Determine 6*j(l) - 5*t(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(1872) + -4*(-1 + sqrt(1872)) - (-3 + 1*sqrt(1872) + sqrt(1872))*-2)**2.\nAnswer: -48*sqrt(13) + 7489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + 4*s - 11. Determine m(5).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55 - (-2 - (4 + -7)). Suppose 49 + 383 = o. What is the highest common factor of o and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 2, i: 4, n: 4}. Give prob of picking 1 f and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmmmamamhmmmhhm. What is prob of sequence ah?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 6. Let h = 1 + t. Let g(f) = f**2 + 3*f + 3. Let z(a) = -2*a**2 - 5*a - 5. Let w = 6 - 3. Determine h*g(q) + w*z(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4940 and -193\/939120.\nAnswer: 17843280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/6)\/11*(-108)\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c = -116*c - 126*c - 2064 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 5637 - 1600. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -6.6, -6\/23 in ascending order.\nAnswer: -6.6, -6\/23, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 - 4933*d**3 + 4884*d**3.\nAnswer: -49*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + 28\/35 - -1. Suppose 7*f + 21 = 8*f. Suppose -f - 23 = -4*d. Which is the biggest value? (a) 0 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 6, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 3*n**3 - 3*n**3)*(2 + 5*n - 2 + 2) + 3*n**4 + 0*n**4 - 2*n**4 + (2*n**3 - 2 + 2)*(-8*n + 2*n + 7*n).\nAnswer: 8*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6*j - j = 29, 4*q - 43 + 0 = 5*j for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -37\nAnswer: -18\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8))**14 assuming n is positive.\nAnswer: n**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by 6?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajapjauaa. What is prob of picking 1 p and 1 a?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 7, 47, 125, 253, 443?\n\"Answer: 2*t**3 + t**2 - 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, 5, -305 in ascending order.\nAnswer: -305, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2542153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 2, -7, -36, 5 in increasing order.\nAnswer: -36, -7, 2, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15432, 15434, 15436, 15438, 15440?\nAnswer: 15442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*z - 144, 0 = 5*n + 2*z - 33 + 247. Let q = 10 - n. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-96)*-2 + 16738029\/(-153648).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 12*q - 18. Let o = -2785 + 2798. Give t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 47*z**2 + 38*z + 3. Let d be n(-11). Suppose d = 109*y - 105*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 3*n**2 - 15*n + 15. Let c be z(6). Suppose 3*w + 1833 = 4*o, 6*w = -2*o + w + c. Calculate the highest common factor of 57 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290 - 287. Sort -3, 0, m.\nAnswer: -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7039*o**5 - 3*o**4 + 236249*o wrt o?\nAnswer: -140780*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -418448 and 0.3.\nAnswer: -125534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d76 + -8?\nAnswer: 2d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*s**2 + 6 + 51\/5*s.\nAnswer: 3*(s + 5)*(3*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*76*(1 - (-33)\/(-12)). Let b = k - 797. Round b to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352567.00275 + 352640. Let i = -73 + w. What is i rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*o - 4, 3*o - 102*w + 5 = -97*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 68. Suppose 33 = x*n + 13. What is the fourth biggest value in -9, -3, n, -1\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r - 3. Let g = 7 + r. Suppose 0 = -g*k - 2*k - 20. Is -4 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6926 and -2.7186.\nAnswer: 18829.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4913 is divided by 2509?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 m when four letters picked without replacement from rymyrxymrmyryrryror?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**6\/40 - a**5\/30 - 127*a**3\/6 - a**2 + 18. What is the first derivative of v(b) wrt b?\nAnswer: 9*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*h - 217, -5*m = -3*h - 38 - 217. Let z(k) = -13*k + 62*k + m*k + 99*k. Let b(n) = -2*n**2. Determine z(b(f)).\nAnswer: -392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -2887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120730 (base 9) in base 14?\nAnswer: 11a298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33862.86 meters in micrometers?\nAnswer: 33862860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 1994908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 356, 2 in decreasing order.\nAnswer: 356, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 2 = 0. Suppose -5*o = p + 8 - 96, 0 = 2*o + 5*p - 49. Calculate the smallest common multiple of v and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744660, -1489358, -2234056, -2978754?\nAnswer: -3723452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 21 = 5*m, 0 = -5*u - 5*m - m + 14. Solve -44*r + u = -45*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/7)*g\/g**8*g*g*g**(-10)*g*(g\/(g\/(g\/g**(2\/17)*g)))\/g assuming g is positive.\nAnswer: g**(-1544\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -26?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 18*k. Let o(d) be the third derivative of d**5\/20 - 119*d**2. Calculate v(o(w)).\nAnswer: 9*w**4 + 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 23*i**5\/20 - 25*i**2\/2 - 27*i. Find the first derivative of x(r) wrt r.\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -63. Let k be n\/30*(1 + (-12)\/10). Let l = -1.1 - -0.1. Which is the third biggest value? (a) k (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 1182*g**2 + 39*g**4 - 40*g**4 + 2 + 1161*g**2 as v*g**3 + p*g**2 + u*g + x*g**4 + f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742147, -1484294, -2226441, -2968588?\nAnswer: -3710735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 5*m + 60*m)*(3*m**2 - 2 + 2)*(-6*m**2 + 2*m**2 + 2*m**2).\nAnswer: -384*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 156\/(-42) - (-2)\/(-7). Suppose -5*x + 5 = 0, -d - 2 = 4*d + 3*x. Let o be 0 + -2 + d + 4. Sort 3, q, o.\nAnswer: q, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 220\/(-14) - -9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (525*f - 5*f**2 - 525*f + f**3)*(1 - 2 + 4)*(2 - 5 - 1).\nAnswer: -12*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.205 in 0.1, 3\/5, 4, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1957 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 13. Let i be (-1)\/(-5) - (0 + (-41)\/(-5)). Let t be p(i). Suppose -3*d = -4*s + 213, -5*d = -t - 20. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*-3941.\nAnswer: 204932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15328 = -2281*l + 3239*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.2387662 and 7.\nAnswer: -22.6713634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)**(1\/22))**(-7)\/((x**(-9)\/(x*(x**7*x)\/x))\/(x**1\/x*x)**46) assuming x is positive.\nAnswer: x**(707\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4883 minus -3?\nAnswer: -4880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -2*r**6\/15 + r**3\/2 - 2*r**2. Find the first derivative of f(z) wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20220112210102 (base 3) in base 10?\nAnswer: -3671822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 28373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 826 - 825. Calculate the lowest common multiple of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 18 = -u - 9, -3*u = -4*a - 14. Is u at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ttsst.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5320858819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11913*s**2*x*z**2 + 4*s**2*z**2 - 46*s*x*z**2 - 13*s - 2*z**2 + 8 wrt s?\nAnswer: 23826*x*z**2 + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by 5.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17081\/(-3306))\/(2\/24*4\/2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7105 and 6020336490?\nAnswer: 7105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -199, -12, 20, 0, -2\/3, 1\/4, 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 5*o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 + 33*u**2 - 195*u - 225 = 0.\nAnswer: -15, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 8. Let z be ((-6)\/i)\/(-3 + 6). Which is the biggest value? (a) -0.3 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/7 and -34\/136943?\nAnswer: 958601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86854024093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 10*h - 20*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/27)*o*o\/o**(3\/2))\/(o**(-2\/25))**(-1\/58) assuming o is positive.\nAnswer: o**(18071\/39150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14142*k + 56571. What is t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = 3*k. Let x be 15 - (k + (-2 - -4)). Let d(q) = 2*q**2 - 153*q + 300. Let c be d(2). Solve -3*r + c = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = -2*z, 3*s + 4 = -z - 0*s. Let t be (((-10)\/(-8))\/z)\/(63\/(-56)). Which is the third biggest value? (a) -3 (b) t (c) -2\/5 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1187*h**2. Let p(n) = 4*n**2 - 5*n - 1. Let j(i) = 15*i**2 - 20*i - 4. Let v(k) = -j(k) + 4*p(k). Give v(f(t)).\nAnswer: 1408969*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 + -1.9?\nAnswer: 770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/24 + l**3\/6 + 62*l**2 + 2. Let t(a) = -7*a - 3. Give -2*n(z) - t(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 910*c**3 - 895*c**2 - 1810*c.\nAnswer: -5*c*(c - 181)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(55)\/((sqrt(500)*2 - sqrt(500)) + sqrt(500) - sqrt(5)))**2.\nAnswer: 275\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-2)*(-66)\/8. Let r = -788 + 57. Let u = t - r. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Let a(k) = -7*k - 6. Suppose 480*n + 48 = 432*n. Determine n*a(x) - 5*h(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202211200210 (base 3) to base 13.\nAnswer: 26c7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 0, 3*f + 2*f = -4*w + 23. Let x be (-16 - 6)\/(1 + (-5)\/f). Suppose -x + 318 = 3*v. What are the prime factors of v?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2 - 8. Let v = 1 + t. Calculate the highest common factor of v and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11648080 + 2?\nAnswer: -11648079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 130.5. Put 3\/11, b, 2\/3 in ascending order.\nAnswer: b, 3\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**3 + 240548*l - 240548*l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1342 and -0.09.\nAnswer: -120.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 451542965 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: Collect the terms in 6*l**3 - 6*l**3 - 8*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 - 2*u + 1. Let w be d(2). Let s = -241 - -203. What is the third smallest value in w, s, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1774 by -4.\nAnswer: 887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 45*i**2 + 41*i + 313. List the prime factors of n(-23).\nAnswer: 2, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - k**2 - k - 2. Let j be a(-2). Let v(z) = -5 + 5*z + 0*z**2 - z**2 + 2*z. Give v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 631 + -1069. Is (g\/(-9) + 7 + -9)*3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368089.475 + 3528.425. Let d = q - 371614.900002. Let a = -3 + d. What is a rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1295 + 424 + 565)*(1 - 1 - 2*q) as t*q + r and give t.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.376661 decades in months?\nAnswer: 885.19932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.8 - 1.2. Let i = f + 15.1. Let z = 1.1011 - i. What is z rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r. Solve -2*d + r = 4*q - 20, q - 2*d = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 + 123856316*g\/13 + 1917548376636482\/13.\nAnswer: 2*(g + 30964079)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.11. Put i, 0, -0.2 in increasing order.\nAnswer: -0.2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55488*z**5 + 847824*z**4 - 22017708*z**3 - 47674209*z**2 - 1387887*z - 10170 = 0 for z.\nAnswer: -113\/4, -2, -1\/68, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12596\/(-2144) - -1*(0 + 6). Let y = -42 + 49. Which is the nearest to 1? (a) -1 (b) y (c) q (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11544212300 + 1?\nAnswer: 11544212301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 76 (b) -2\/21 (c) -3\/10 (d) -2\/69 (e) 0.4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-45)\/(k*k*k**(-3)*k*k*k**(-3)))\/((k*k**(-3\/2)\/k*k*k*((k*k**5)\/k)\/k*k)\/(k**4*k*k*k**(-1\/6))) assuming k is positive.\nAnswer: k**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82899.9 - 0.04952168.\nAnswer: -82899.94952168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -104. Let c be 3*(-8)\/r - (5 + -2). Let v = 1 + -1\/2. What is the closest to -0.1 in -4, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27924 is divided by 4648.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 568, 3049, 0.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 - 6*g + 6. Let o(x) = 4*x**2 + 7*x - 7. What is 6*d(t) + 5*o(t)?\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-1333)*62*(1\/(-1))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10461486\/294 + 12\/(-42)?\nAnswer: 3, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 28978266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1889 - 1888.7. What is the closest to -0.4 in 5\/4, y, -1\/4, -2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31 - 19 - 14*g**3 - 8*g - 12 wrt g?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -396660.7.\nAnswer: -1983303.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1376531, 5506158, 12388873, 22024676, 34413567?\nAnswer: 49555546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 5848416.\nAnswer: 5848416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13973 - -7457. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31220001+-1.1\nAnswer: -0.78779999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245763 and 23406.\nAnswer: 491526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0617 + 0.0734. What is n rounded to three decimal places?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26902489.\nAnswer: 2267, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 0*h = -24. Let n be 10\/4*(-8)\/(-5). Let z be 2\/(-5) + (-72)\/(-30). Solve 0 = z*c - 2*w, h*c + c + n*w - 18 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0*v + 4*v - 8 - 5*v.\nAnswer: -v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + 0 - (7 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k + 480 = -21*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 34) + (-1 - -7) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 2. Let l be 6*(-1)\/(-2) - h. Find the first derivative of -3*p + 3*p - 2 + l*p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*5)\/((-8)\/(32\/(-12)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.061 (b) 5 (c) 3\/5 (d) -2\/17 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 - 12*m**2)*(0*m**2 - 6*m**2 - m**2).\nAnswer: 126*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let a be 2\/((-24)\/2) - 4232\/(-48). Let s(w) = -w. Let b(j) = -2*j**2 - 22*j. Let t(o) = a*s(o) - 4*b(o). Determine q(t(d)).\nAnswer: -192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1213670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**4\/7 - 4804*m**3\/7 + 71352*m**2\/7 - 227888*m\/7 + 208736\/7 = 0. What is m?\nAnswer: 2, 11, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -70584620 to the nearest ten thousand.\nAnswer: -70580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21458 + 21458.1. What is the biggest value in 5, c, 0.03, 1\/3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 8*i**2 + 2. Let h be f(-8). Let d be 236 - -1 - (-4 - h - -4). Suppose -a = 5*w - d, 5*a + 3*w - 452 = 633. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 7*l**2 - 3*l**2 + (4 - 1 - 1)*(-7*l**2 + 3*l**2 + 3*l**2) + l - 4*l + 6*l**2 - 7*l**2.\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82339\/34208 + 66\/1069. Suppose -3*y + 9 = 0, 2*y - 3 = -3*d - 0. What is the common denominator of k and (-770)\/(-33)*(d - 7\/(-8))?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c + 85*c - 3*j + 12 = 0, 3*c = j + 9. Solve -3*v - 20 = -5*y, c*y + 2*y - 10 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(475) - (-2 + sqrt(475)*-1) - (sqrt(475) - (sqrt(475) + sqrt(475) + 1)*2))**2*6*-5.\nAnswer: 24000*sqrt(19) + 1426920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.391 - -228?\nAnswer: 216.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -0.02, -9652.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + j + 26*j**2 - 25*j**2 - 2)*(-15 + 15 - j).\nAnswer: -j**3 - 8*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q + 8 = 0. Let o be 3\/4 + q\/(-8). Let a = o + -2. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 529312 and 32.\nAnswer: 529312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 37. Let n = 27 + m. Suppose -b + 6 = -n. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3379*j**3 + 71107*j**2?\nAnswer: 20274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wczcccz. Give prob of picking 1 w and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12496 and 14420736?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -163?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-363)\/2*(-2)\/(-18) and (54\/48)\/((-11)\/(-12)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - 3*h + 2. Let o be f(1). Suppose -8 = -s + 4*m - o, 2*s - 4*m = 28. What is the highest common factor of 32 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 3)\/(-4 + (4 - 3)). Suppose d = 4*c + 19 - 31. Solve -c*f + 9 = -6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -1\/60*r**5 + 0*r + 0*r**2 - 50\/3*r**3 + 0*r**4 + 9. Let y(g) be the third derivative of o(g). Let i(l) = 33*l. Give i(y(u)).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 14. Suppose 3*n - 16 = -1. Calculate the greatest common factor of n and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/3)\/j**(1\/5)*(j\/(j*(j*j*j**7)\/j*j))\/(j*j**(1\/10)*j))**(-40))**(-15) assuming j is positive.\nAnswer: j**(-7580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 2*(9 + 1) + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7400*t**2 + 28*t + 2. What are the prime factors of d(-1)?\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 + 846477*d + 846480 = 0?\nAnswer: -1, 282160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2\/11)\/((-488)\/(-12) + -40)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1879216 and 4556.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 745147979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1106 + 1160. What is the greatest common factor of n and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/((sqrt(2) - sqrt(2)*-3) + sqrt(2)))\/sqrt(3))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -78. Which is the nearest to -1? (a) 0.5 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88.9 + 89.3. Sort -1.8, -0.2, z, -1 in decreasing order.\nAnswer: z, -0.2, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2167*r + 2167*r - 36*r**2.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 515\/(-35) - 18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5822228 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, -5, 6413\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/7)*w)**(-7\/10)\/(w\/(w*w*w**(1\/5))*w\/(w*w**(1\/2))))**(5\/14))**(-8) assuming w is positive.\nAnswer: w**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -68. Solve 0*j + 2*j + x = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.62 - -31.4. Let y = -0.22 - o. What is the third smallest value in y, 12, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*h - 39 + 36 + 18 as l*h + i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -13982181179759?\nAnswer: 13982181179759.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 56*t**2 - 4049*t - 1429*t**3 + 3806*t + 51*t**2 wrt t?\nAnswer: -8574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.96653 + 10.009. What is l rounded to 2 dps?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 smaller than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -72. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1.5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 + (-5)\/(-10)*-14. What is the greatest common factor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/5*(-8)\/(-14)*(-15)\/15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7952, 15896, 23828, 31742, 39632, 47492, 55316, 63098?\nAnswer: 70832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000337 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Let w(f) = -f**2 - 13*f + 25. Determine -7*h(m) - w(m).\nAnswer: m**2 + 6*m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 255\/153 - ((-2602516)\/6)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4888 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -1.19.\nAnswer: 70.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2\/((-2)\/(-5)). Solve -g = 0, 5*s = 5*g - 14 - z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/((-3)\/(-9))*135\/(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y - 3. Let b be n(-3). Let t(c) = -10*c + b*c + 2331*c**3 + 11*c**2 + c - 2332*c**3 + 3. What are the prime factors of t(9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*(14\/(-32))\/7*(-15)\/(-12)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 10*r - 13. Is f(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*n = -78*n + 111. Suppose 5*c = 5*g + n - 72, 0 = -4*g + c + 19. Put -1, -6, -2, g in decreasing order.\nAnswer: g, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126019 + -65?\nAnswer: -126084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, 3\/14, -182\/9?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {u: 11, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/2*(-15 + 16). Let u = l - -4. Which is the third smallest value? (a) 0.1 (b) u (c) -3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 153*o**2 - 4*o. Let w(c) = -c**2 + c. Determine -4*w(v) - x(v).\nAnswer: -149*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17\/5)\/(y*(y*y**(-18\/5))\/y) assuming y is positive.\nAnswer: y**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011110001101011100111001 - 1?\nAnswer: 11011110001101011100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111124182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/7 - 27380*k**2\/7 + 27406*k\/7 + 328584\/7 = 0?\nAnswer: -13691, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**13*u**(-4)*u*u*u*u**(-1) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 0*h**3 + 3*h**3)*(-4*h + 4*h + 2*h) - 2*h**3 - h**4 + 7*h**3 - h**3.\nAnswer: h**4 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2293 + 2316. Sort 8, r, 5.\nAnswer: 5, 8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1. Let w(f) = -10*f - 1. Let c be (-5)\/(-10) - 3\/2. What is c*y(t) + w(t)?\nAnswer: -10*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 971*p**3 - 11*p**2 - 40?\nAnswer: 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:51 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14676 = -4*c + 6592. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*h, 3*t + 51 = 3*h. Let n(d) = d**2 + 11*d - 27. Calculate the least common multiple of 24 and n(t).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1038 - -452. Suppose -5*i + 17 = -0*i - b, 2*i = b + 8. Suppose 5*f + i*u = -u + x, 0 = u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*w**2 + 553*w**2 + 47*w - 47*w.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.2 + 0.3?\nAnswer: 117.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r**0)\/(r**13*r*r**(-3)) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 9*a**2 - 2*a - 12. Let h be (-152 + -3)\/((-48)\/(-9) - 5). Let g = -474 - h. What is n(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 16*p - 3. Give s(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 66. Let z be y(-22). Let t(k) = -k**2 + k + 10. Determine t(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -129*l - 109. Let o be w(-6). Round o to the nearest 10.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 3*l + 3*l)*((2*l - 3 + 3)*(-1 - 1 + 1) + 4*l + 15 - 15) to j*l**2 + y + q*l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -133. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(11))**2*6 + -5 - -1*sqrt(99)*1) + sqrt(1331)*3*3 + ((0 + sqrt(1331))**2 - sqrt(1331))*-5.\nAnswer: -6594 + 157*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 - 5*b - 4. Let u be d(5). Let l = 16 + u. Suppose 16*h = l*h + 744. List the prime factors of h.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -40. Let u(m) = 12*m**3 - 7*m**2 + 7*m - 13. Let i(o) = -11*o**3 + 6*o**2 - 6*o + 14. Let t(a) = n*i(a) + 6*u(a). Differentiate t(j) wrt j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 50.7, -0.3, -16, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/4 - 169*z**4 - 104945*z**3\/4 + 1602965*z**2\/2 + 104949*z - 3203226 = 0 for z.\nAnswer: -351, -2, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -7158, -10730, -14296, -17856?\nAnswer: -21410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 take away -0.6?\nAnswer: 0.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5761?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 57, 0 in ascending order.\nAnswer: -0.09, 0, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*r**3 + 6597*r**2 - 5*r - 6597*r**2.\nAnswer: -105*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i**3 - i**2 + 6*i - 8. Let a be t(2). Let u = a - -164. Solve 2*j - u = 6*j - 4*r, 2*j - 22 = -4*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/54 - 5*m**3\/27 - 4*m**2\/9 - 94*m. Factor q(x).\nAnswer: -2*(x + 1)*(x + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. Solve -3*z + x*w = -13 - 9, 0 = -4*z + 3*w + 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 124 = -23*c. What is the nearest to -1 in c, 1, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2121, 2169, 2289, 2517, 2889?\n\"Answer: 6*c**3 + 6*c + 2109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -226. Solve c - t - 4 = 0, -5*c + 14 = d*t - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3. Let l be d(0). Let i = l - 4. What are the prime factors of i*4\/((-4)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1229, -7660, -24877, -58274, -113245, -195184, -309485, -461542?\n\"Answer: -899*h**3 + h**2 - 141*h - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -1211, -1649, -1995, -2255, -2435, -2541?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360*v**6 + 10*v**2 + 2*v.\nAnswer: 43200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228424?\nAnswer: 2, 7, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4 - -7 - -10) + -2 + 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.17. Let v = 5.88 + k. Let g = 6 - v. Which is the third smallest value? (a) 0.1 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 2415323250?\nAnswer: 2415323255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 14*k - 57 = -v, v + 363 = 17*k. Solve 15 = -5*g + 10*g, -3*w - k = -5*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -67728, -2, 13 in descending order.\nAnswer: 111, 13, -2, -67728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -754\/3 + 21067\/84. Let b = f + 2\/7. Does b = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -251, -514, -781, -1052, -1327, -1606?\n\"Answer: -2*q**2 - 257*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60703, 122107, 183511, 244915, 306319, 367723?\n\"Answer: 61404*p - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319 - 325. Let v be (152 - -1) + d + -9. Calculate the greatest common factor of v and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -5091, -11397, -20205, -31509, -45303, -61581?\nAnswer: -80337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19285118 to the nearest integer?\nAnswer: 4391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w + 21. Let q be w\/(-6)*(-8 + 5)*-1. Is (-2 - (-379 + 0)) + (-7 - q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 93. Let z be w(-9). Let a(t) be the first derivative of -4 + 0*t**2 - 2*t - 4\/3*t**z. Differentiate a(f) with respect to f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**5)))\/(((t**(2\/5)\/t)\/t)\/t))**(2\/145))**(-4) assuming t is positive.\nAnswer: t**(-344\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - d + 4. Let q be l(3). What is the tens digit of 2 - q - 44\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 61207*f - 33847474. What is w(553)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftf when three letters picked without replacement from feeeetfeeeeeetfeette.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 74617 (b) -0.04 (c) 4 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m\/(m\/m**(-5\/7)))\/(m\/m**5)*((m*m\/m**(-1\/4))\/m)**15 assuming m is positive.\nAnswer: m**(701\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 295*i + 5665. Give l(-19).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - 29 - 30 - 23 - 51.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/((-144)\/23))\/((-7006)\/380). Let y = -7\/744 + h. Let d = 174\/1469 - y. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/2156*28\/(-114)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23221023 and 6636?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzbpbbz. Give prob of picking 1 z, 1 b, and 1 l.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a - 83. Determine c(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -708\/5 - -142. Which is the closest to g? (a) 5 (b) 1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-165)*3 - (-5)\/((-385)\/(-91)) - -72?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = 2*u - 8, 4*u + 8 = 0. Suppose -5*k + 19 = r. Find the third derivative of h - k*h**3 - 2*h + h**2 + h wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-4) + (-309)\/(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1196*j + 715*j - 12422 - 7017*j - 1192*j with respect to j.\nAnswer: -8690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28208 - -28056 - (-5614)\/37?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 + -7) - (957 - 1019)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 17701*l = -17703*l - 47, -l + 59 = -5*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -24?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(88)*2)\/sqrt(11) + sqrt(8)) - sqrt(24)\/(sqrt(300)*-6).\nAnswer: 11*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -143.7 < 35\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 t when four letters picked without replacement from htbhbtbtnhhyhht.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o + 3*o + 45. Let j = -772\/7 + 110. What is the second smallest value in 0, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/24 + 5*x**3\/6 + 160*x**2. Let z = -53 - -45. Let v be 20\/(-14)*28\/z. What is d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2310 - 1157 - 1155 - 39*a as r*a + b and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29928.\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101111 - 0?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*k + 0 + (-2 - 2 + 3)*(-4*k + 3*k - k))*(80*k**2 + 102*k**2 - 44*k**2) as w*k + o*k**3 + i + g*k**2 and give o.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4*b**3\/3 - 1. Let t(o) = 10*o**2 - 175*o + 175*o. Let l(w) = -11*w**2. Let i(y) = -5*l(y) - 6*t(y). Determine p(i(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)**(-1\/9))**(5\/12)\/((z*z**4)\/z**(5\/4)*(z\/(z**(-1)*z*z)*z)**(-1\/2)) assuming z is positive.\nAnswer: z**(-89\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6793.152 millimeters to micrometers.\nAnswer: 6793152","meta":{"dup_signals":{},"source":"measurement__conversion_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: (-6)\/(-4)*11484\/(-594)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16110 and 446952260?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-235*c + 299*c + 717*c)*(2 - 3 + 2) in the form f*c + n and give f.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let j(t) = -41 - 13 + 2*t + 28. Give m(j(y)).\nAnswer: -4*y + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3796377 and -38\/20345.\nAnswer: 18981885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18764327, -37528643, -56292957, -75057269?\nAnswer: -93821579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 327*h + 553. Let s be z(-19). Which is smaller: s or -5663?\nAnswer: -5663","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 5*c**2 + 19*c - 26. Let k(p) = 5*p**3 + 6*p**2 + 19*p - 27. Let d(z) = 2*k(z) - 3*v(z). What is the units digit of d(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-9))\/(23\/((-207)\/6))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2449)\/62)\/(-79))\/28?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/7 + 6 - -9?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*x**2 - x + 2*x**3 - 70*x**2)*(2*x - x - 3*x).\nAnswer: -4*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - 360\/(-130)*780\/90.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*z + 10 = 0, 4*h = 2*z + 3*z - 45. Let p(y) = y**3 + 5*y**2 + 4. Calculate the least common multiple of p(h) and (-4)\/(-2)*(-9)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3 - 1228*u**2 + 50997*u - 49770 = 0.\nAnswer: 1, 42, 1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**2. Let l(d) be the first derivative of d**3\/3 - 46. Give l(j(r)).\nAnswer: 144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 225*s - 10292. Give u(46).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) 0.3 (c) -0.4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55395079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -163, 115, 505, 1007, 1621?\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -670417?\nAnswer: -68\/670417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2436\/(-72) + 33 + 1\/((-12)\/(-424054))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -83311a1?\nAnswer: 833119a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/4 + 15*z\/2 - 27\/4 = 0. What is z?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 - 5*x**4 - 45*x**3 - 55*x**2 - 20*x.\nAnswer: 5*x*(x - 4)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17918818 to the nearest integer?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -47932.3 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 50. Let f = -82 - -80. Let n = 4.8 - 0.8. What is the second smallest value in n, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2983034?\nAnswer: -1\/2983034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -7282?\nAnswer: 7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 6 - (-2 + -19)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, y: 6}. Give prob of sequence mm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400212 - -14?\nAnswer: -400143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = -134*w - 904 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 5*r = 28. Let q(z) be the first derivative of r*z**2 + 2*z - 6*z**2 + 0*z**2 - 1 + 2*z. Give q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, -4, 0.02, -77\/17 in decreasing order.\nAnswer: 16, 0.02, -1, -4, -77\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.012232mm?\nAnswer: 0.008012232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*m - 15555, 2*l - 5891 = 5*m + 310. What is the greatest common divisor of 504 and l?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 14) to base 7\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 + 0*r**2)*(0 + 295*r + 0 - 274*r).\nAnswer: 63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {a: 1, q: 5, r: 7}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3311 + 0.1689. Let i = 43 - 43.5. Which is the biggest value? (a) i (b) 1\/3 (c) -8 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -97*x + 7020. Determine d(57).\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -599*q**3 - 81*q**3 + 241*q**3 + (2*q**2 - 2*q**2 + 2*q**2)*(3*q + q - 3*q).\nAnswer: -437*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 38. Let q = -6 - -12. Let s be 4\/(-8)*(-4)\/q. Which is the closest to d? (a) s (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 4) in base 14?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 5 + 24*f**3 - 7*f - 25*f**3 - 20 + 10 + 3 as a + m*f**4 + v*f**3 + p*f**2 + q*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/((-65)\/((-2990)\/552))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110103 < -110102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 - -129. Suppose 236 = -w*s + 5126. List the prime factors of s.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281749911 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -1)*3060\/(-150). Let l = 125 - o. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*(-1)\/(-2)*-3. Let g be (2\/4)\/(((-7)\/70)\/z). Suppose -g*y = 5*y - 200. Solve 3*u = 2*r - 15, 7*u - 3*u - 4*r + y = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 19374*n**2 + 4*n + 1. Let l(u) = 12*u. Determine l(r(j)).\nAnswer: 232488*j**2 + 48*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4216337 is divided by 10137?\nAnswer: 9482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -45\/4652 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -2*r. Suppose -l - 3 = r, -25 = -5*y + 2*l. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*x = -5, -21*x - 5 = -9*t - 19*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 8*o + 7. Let m be s(8). Suppose l = 5*l - 3*f - 30, -3*f = l. Let n(z) = 2*z + 7. Let q(w) = -2*w - 6. Determine l*n(t) + m*q(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6913*g**3 - 5 + 6*g.\nAnswer: 6913*g**3 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 + -1.7000001. What is v rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-36 + -41 - -6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173708943?\nAnswer: 3, 57902981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2067 = 2087 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 8*d**2 + 6*d**2 + 14*d**2 - d - 3. Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 - 26*h**2 + 38*h + 48. Determine a(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 120 + 94*s - 185*s + 3*s**2 + 91*s to h*s + d*s**2 + x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 17. Determine u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203 + 2210022?\nAnswer: 2211231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x - 0*x + 3*n, 4*x - 1 = n. Sort -1, 7, x, 5 in ascending order.\nAnswer: -1, x, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 16905*m - 287117. Calculate r(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/2)\/(308\/(-616))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*s + 1137 wrt s.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -43*o**4\/6 - 8*o**3\/3 + 2*o**2 - 22*o + 4. Find the second derivative of r(p) wrt p.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*h = -548, -4*u + 2*u - 2*h + 266 = 0. What is the lowest common multiple of 200 and u?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10199 and 259439?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a232 (base 12) in base 4?\nAnswer: -10103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/sqrt(11)*-4 + -1)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2 + 174*g + 28. What is y(-9)?\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**(-5\/6)*d)\/d)*d\/d**4)\/((d*d*d**(-15)\/d)\/d*d**(-3\/10)) assuming d is positive.\nAnswer: d**(172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4536)\/(-2457) - ((2 - 0) + (-28)\/13). Solve 2*s - 9*g = -14*g - c, 2*g = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*n*o*v**3 + i*n*o*v - 4*i*o*v + 3*i*v**2 + i*v + 131*n*o*v**3 - 108*n*o wrt v.\nAnswer: -6*i*n*o*v + 6*i + 786*n*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (-6 - 0) + -4 + 2 + 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/(3\/(-36)). Solve -3*p + b = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -10) + -4 + (-55 - -55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1767347 (base 8) in base 12?\nAnswer: -210a5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 12022.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**2 - 12412*g - 4*g**2 - 3*g**2 + 8898*g.\nAnswer: -25*g**2 - 3514*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*s + 129, -6*g = -3*g - 5*s - 133. Suppose -4*b - 5*c + 15 = 0, -3*c - 2*c = b. Factor 35*j**b - 72*j**5 - j**3 + g*j**5 + 2*j**4.\nAnswer: -j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300867011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/189 and -32\/2240067.\nAnswer: 141124221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -315 - -580. What are the prime factors of u?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55944230?\nAnswer: 2, 5, 5594423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - (2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 14777*s**2 + 3132*s - 3151*s + 0.\nAnswer: -14777*s**2 - 19*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-54)\/(-21))\/((-3)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 633*f + 172*f + 174*f + 619*f in the form r + n*f and give n.\nAnswer: 1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425))**2 - sqrt(17)) + sqrt(17) + (sqrt(17) + sqrt(187)\/(2*sqrt(11)))**2.\nAnswer: 10*sqrt(17) + 1857\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 40 = 4*m - 36, -2 = 3*m + 2*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -14 + 6. Suppose -p*y = y - 475. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7039*t + 164*t**2 + 7039*t + 7037*t - 21112*t to c*t + d + u*t**2 and give u.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(55*(-31)\/310).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 30*u - 135.\nAnswer: 5*(u - 3)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 15*i\/2 - 117\/4.\nAnswer: 3*(i - 13)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -14, -5, 22, 73?\n\"Answer: o**3 - 10*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*h - 7*h + 8*h to g*h + w and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 861, 1721, 2581, 3441?\n\"Answer: 860*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 5*l**2 - 2*l**3 + 3*l + 3 + 0*l**3. Let u be t(-3). What is the common denominator of (2 + u\/(-44))*-38 and 43\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135234120?\nAnswer: 2, 3, 5, 7, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 53?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*b = -685*b + 4723 + 3317 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*w - 108 = -4*b, -2*b = -2*w - 88. Suppose -r - q = -8, 3*r - 3*q - 7 - b = 0. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 2 - 19. Sort t, 27, 0, 5 in descending order.\nAnswer: 27, 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:22 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let k(m) = 3*m + 2. Let q(c) = 2*b(c) - k(c). Let x be q(-9). Solve 0 = f - 1 + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4310 by -5.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33*g**2 - g**3 + 3*g + 4*g - 26*g**2 + 6. Let u be o(7). Let m be 195\/9 - (-2)\/6. What is the highest common factor of m and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-78)*(-6)\/18*-6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.788\nAnswer: -3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 2. Let s(o) = o**3 + o**2 - o + 7. Let f be s(0). Let p(u) = -6*u - 11*u + 10*u - 6*u - 7. Determine f*v(j) + 2*p(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6094 - 6063. Let s = -8.3 - -1.3. Sort 0, t, 1\/3, s in descending order.\nAnswer: t, 1\/3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.48245 * 7.\nAnswer: 115.37715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x\/(x\/(x*x*x**(-2)\/x*x)))*x**(-2\/5)*x**(1\/2))\/(((x\/(x**(-4)\/x))\/x**(3\/7))\/((x\/(x*x*x*x**6))\/(x\/x**(-1)))) assuming x is positive.\nAnswer: x**(-1013\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 13*l**2 + 31*l + 21. What is the lowest common multiple of z(-15) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7998 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1869 and -0.1.\nAnswer: -1869.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 6*l - 84 = 0. Let h(r) = r**3 - 8*r**2 - 10*r + 19. Let f be h(l). Let s be f\/40*8\/(-10). Solve -s*a + 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 70, 1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 1009, 21, -2 in increasing order.\nAnswer: -32, -2, 21, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*277.\nAnswer: -38.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 156080296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6962220712, 6962220716, 6962220722, 6962220730, 6962220740?\nAnswer: 6962220752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 c when four letters picked without replacement from crcscbcmrrc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12947\/18 + -4801\/6. Let t = -81 - v. Let r = 3.8469 + -3.8369. What is the second smallest value in t, -2\/5, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 - 11*r**2 - 36*r**2 + 65*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, r: 3, i: 1, l: 1}. What is prob of picking 2 z and 2 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 131 + 929 = 4*q, q - 2*i = 268. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8) + -1)\/((-4)\/8). Solve s - 5*s - 33 = 5*c, p*s + 1 = c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*j = 297*j - 10712 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-176)\/(-260) + (-85)\/1105. Which is the second smallest value? (a) -2 (b) 0.2 (c) -0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 43*t**2 + 206*t - 6387. Give k(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7590347\/4176 + -55\/4176. Let g = k + 1812. Let i = -130\/3 + 51. Find the common denominator of i and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347267929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (295\/9)\/1 + (-26)\/(-117). Let y be 54\/(0 + -2) - 1. Let u = y + c. Solve u*q - 2*q = 2*p + 3, 5*q + 2 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 9549 = -950*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d - 56*d = -6*a + 6, 2*a - 2 = -2*d. Sort 0.3, 0.2, -7, 4\/7, a in descending order.\nAnswer: a, 4\/7, 0.3, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16453*v**3 + 52062*v wrt v.\nAnswer: -98718*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = 5*c - 17, 0 = 5*f - 20. Suppose 4*n = 0, 6*m - c*m - 2*n = 20. What is the remainder when 17 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-8)*(-1)\/6)\/((-53)\/((-14946)\/(-35015))).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t**2 - 4*t - 2*t**2 - 2*t + 2*t - 2*t**2 + 0*t**2 + 0*t**2 + 4 - 4 - t**2 + (t + 2 - 2)*(2*t - 3*t + 3*t))*(-17 + 26 + 39)*(2*t - 2*t - 3*t).\nAnswer: 288*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - -5 - 3) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + -74.2. Let t = -71.99999962 - y. What is t rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276*d*r**2 + 54053*d + 5985274*r**2 + 6*r wrt d.\nAnswer: -276*r**2 + 54053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15424942 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0197 - 0.0197. Let j = 6 - 8. Which is the nearest to j? (a) m (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 168. Let u be 1\/6 + (-7)\/j. Suppose -1\/2*c + 1\/4 + u*c**2 = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089414ml in litres?\nAnswer: 0.0000089414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 - -232. Calculate the highest common factor of n and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, 31, 136, 301, 526, 811, 1156?\n\"Answer: 30*z**2 - 45*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8181746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.06 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/495*-9*(-10)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207.\nAnswer: 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 12*u - 12 = -3*t, t = -4*u + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 - -124?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2\/9, 2, 111, 5, 0.3, 0.2.\nAnswer: -2\/9, 0.2, 0.3, 2, 5, 34, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.215 (b) 2 (c) 1\/58 (d) 1 (e) -0.02 (f) 5 (g) -0.11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 + 22*w**2 + 4 - 24*w**2 + (-4 + 2 + 3)*(-5 + 5 + w**2) to j*w + q*w**2 + m and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100202 (base 3) to base 10.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + (63 - -4 - 134).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -243585 (base 13) to base 8\nAnswer: -3230167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 1, p: 2, r: 1}. Give prob of sequence ppr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 44*g - 13. What is u(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 + 9*i + 19. Calculate b(-7).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-949*l + 4*l**3 + 949*l - 7 + (-3*l**3 + 3*l**3 - 2*l**3)*(1 - 1 - 2))*(32 + 522 + 9) in the form x*l + b*l**3 + g*l**2 + r and give b.\nAnswer: 4504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(85) + (sqrt(85)*-3 - sqrt(85)) - sqrt(85))\/sqrt(5) + -4 + sqrt(17)*-3))**2.\nAnswer: 2016*sqrt(17) + 30564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 + -101. Let h = r - 100.1. Put h, 3, 2, -3 in decreasing order.\nAnswer: 3, 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 14 = -5*y, -2*x - 2*y + 20 = 2*y. Suppose 0 = -x*c + 23 + 9. Find the third derivative of -p**5 - 20*p**2 + c*p**2 + 2*p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143323*w**2 + 1294384*w wrt w?\nAnswer: 286646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185325720 by -5.\nAnswer: 37065144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 - 14*p + 8. Let f be b(8). Let c = -22 + f. Solve n + 2*s + 5 = 0, -c*s = -3*n - n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/19 - 7\/57. Which is the third smallest value? (a) f (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 33 - 2 + 30 - 9)*(-1 + 1 + 2*l**3).\nAnswer: -64*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -340310000 rounded to the nearest 1000000?\nAnswer: -340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 2ac4383?\nAnswer: 2ac4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 2*d + 4*d - 9)*(d**4 + 2*d**4 - 5*d**4).\nAnswer: -4*d**5 + 66*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 898634488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05973372 to three decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -40\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/((-1)\/(-2)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4355385 + 1?\nAnswer: -4355384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0366 + -98.8634. Let b = q + 95. Let f = 4 + b. What is the biggest value in f, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)\/(x\/x**(-3\/2)))\/(x*x**6*x*x\/(x**(2\/7)\/x*x*x)) assuming x is positive.\nAnswer: x**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 83. Calculate the remainder when 84 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let c(s) = -1 - 359*s**2 + 368*s**2 + 0. Determine h(c(q)).\nAnswer: -81*q**4 + 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95560613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64.23748069 - 64.17348. Let c = -0.064 + y. What is c rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 1 - 3 - 2 + 0 to the form m*k + b + r*k**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**3 + z**2 + z + 1. Let d = -7 + 7. Let p be (-2 - -1) + d\/2. Give b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4007999 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q + 460. Let c be 10\/(-45) - q\/9. Calculate the greatest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/(3\/(-10)). Let d(f) = f**3 - 3*f**2 + f - 1. Let j be d(3). Let u(o) = 4 + 2*o - c*o - j. Give u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -1\/6*z**3 + 0*z - 10 - 3\/4*z**2. Let o(r) = 0. Calculate r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357752+0.1298715\nAnswer: 357752.1298715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49782 is divided by 9952?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**5 - 1561712*f**3 + 5223*f**2 + 36*f - 8 wrt f.\nAnswer: 240*f**2 - 9370272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1971660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2351546622 - 3?\nAnswer: 2351546616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -127792?\nAnswer: -5\/31948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 52. Let w be (-1)\/((-3)\/(-6)) - 0. Let k = w - -10. What is the smallest common multiple of v and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 852*u - 14 = 853*u, 45 = 2*n + 5*u. Let y = 0 - 4. Put -1, 41, n, y in descending order.\nAnswer: 41, -1, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 320\/7*n - 50\/7*n**2 - 512\/7 = 0?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 17 = 3*c, 3*c - 2*z = -3*z + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, -0.1072, 28\/9.\nAnswer: -0.1072, -0.02, 28\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:51 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 12. Let t(k) = k - 12. Suppose 21 = -p + 5*u, -3*p + 4*u + u - 33 = 0. Give p*o(j) + 7*t(j).\nAnswer: j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:34 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -44. Suppose -g*y + 2 = 3*q, 4*y = -q + y - 2. Solve -2*c + 0*c = q*k + 6, -2*c + 26 = -4*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5985\/91770 + 8010\/(-92)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 - 870\/(-42). Let g be (18\/(-8))\/(s\/(-112)). Let f = 40 - g. Solve q + m = 0, 5*q + 0*m + f = 2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 13 + -7 - 25\/(-11). Suppose -5*d + 3*d + 4*a + 10 = 0, 4*d = -2*a. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/2, 2, -2\/9, -93?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -489. Let b = -19037 + 19442. Suppose 0 = 3*i - 7*i + c + r, 5*i - 2*c = b. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.87 + -17.791. Let r = h + -0.779. Which is the nearest to 6? (a) -4 (b) -0.5 (c) -3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmzhoozozhtxxtht. What is prob of sequence zz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9057, -9071, -9073, -9057, -9017, -8947, -8841?\n\"Answer: c**3 - 21*c - 9037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1745675447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-376)\/(-36) - (-8)\/(-18). Suppose -k*o - 96 = 2*o. Let q(v) = -v**3 - 9*v**2 - 10*v - 10. What is q(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.668 - -0.67. Let x = -4.002 + z. What is the biggest value in -5, x, -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1)**(1\/4)\/(x**(-2\/9)\/(x*x\/x**(-5))))**(-18))**35 assuming x is positive.\nAnswer: x**(-9415\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246960 and 8980965?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132*k**2 + 57*k**2 - 173*k**2)*(0*k - 2*k - 2 + 1) in the form n*k**2 + t*k**3 + i + c*k and give n.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 22*g - 23. Let t be q(15). Let j be -4*(4 - 1 - t\/(-52)). Let o(b) = 2*b**2 + 1. Give o(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40314 (base 6) to base 3.\nAnswer: -21021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 0.5 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cao when three letters picked without replacement from accqqqqcoqoqcaccqq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043978 rounded to six dps?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3\/(-2) - -1). Let j(k) = -k + 4. Let x be j(-3). Suppose -t*w = -x*w + 66. Calculate the greatest common divisor of w and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.99 (b) 0.5 (c) -0.2 (d) -0.1 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 68, 1, 2, 5, -0.4, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -112. Suppose -4*m + 28 = -l, -m + 3*l + b*l + 7 = 0. Suppose -12*i + m*i = -15. Solve -2 = -i*p - n - 3*n, 3*n = 2*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*(x*x\/x**0)\/x)\/((x\/((x*x**(-2\/11))\/x)*x*x*x)\/x**(-6)))\/(x**2*x**(-3)*(x*x\/(x\/x**(-2\/7)))**(-34)) assuming x is positive.\nAnswer: x**(2557\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*sqrt(304) - sqrt(304))**2 + -5 - ((sqrt(114)*-2 + sqrt(114))\/sqrt(6) - (1 + (sqrt(19) - sqrt(171))))) + -2.\nAnswer: -sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*r = 4, 0*b - 3*r - 15 = -4*b. Solve -12 = 2*l + 5*h, b*l + h + 2 = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**7*o)\/(o**(-3\/5)*o*o*o))\/(o**(-7\/2)\/o**(-2\/11)) assuming o is positive.\nAnswer: o**(-449\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o. Calculate y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15972815857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (39\/(-3) - 0). Suppose 3*z + 2*x - 106 = -0*x, 2*x + 182 = 5*z. Calculate the greatest common divisor of c and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 9*p - 56*p - 4582 = 0. Let z be (-896)\/(-10) - 4\/(-10). Let k = z + p. Calculate the remainder when 30 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80203205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187.705 + -0.295. Let p = v - -187. Which is the closest to -2\/7? (a) 2 (b) p (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 26*g + 9*m + 18, 0 = 4*g + 3*m + 54 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**6)\/a)**(-22))**(2\/9))**(16\/5))**(1\/19) assuming a is positive.\nAnswer: a**(-1408\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56152634 (base 7) to base 9\nAnswer: 10116575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 4*g - 1. Let s(h) = -h**3 + h**2 + 5*h - 2. Let t(l) = 4*i(l) - 3*s(l). What is the least common multiple of t(0) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8364 and 24378.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975 and 108.\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182 divided by -51?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(225))\/(-1*sqrt(10)\/sqrt(2)))\/(sqrt(144)*-3 + sqrt(9) + sqrt(18)\/(sqrt(18)\/sqrt(9))).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + sqrt(9)*-1 + sqrt(9))*5)\/(sqrt(3) + (sqrt(21)*-4 + sqrt(21))\/sqrt(7)))**2*5.\nAnswer: 375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(-1)*p)))\/p*p)\/((p*(p*(p*p*p**(-3))\/p)\/p)\/p)*p*p**(-1\/2)*p\/(p*p\/p**5)*(p\/(p*p**(-5)\/p*p)*p\/p**(-2\/7))\/p**(-2\/23) assuming p is positive.\nAnswer: p**(4145\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*v + 48 = -246*v. Solve 0 = -5*l - 10, -n - 2*l + 3 = v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-26))\/((-2416)\/15704).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 689 - 411. Suppose -5*g - p = 2*p - 329, -4*g + r = -5*p. What are the prime factors of g?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(8)\/sqrt(4) - sqrt(2)) - (-2*sqrt(2) + -4) - sqrt(8)\/(sqrt(256) + sqrt(256)*-1 + sqrt(256) + sqrt(256)))**2.\nAnswer: 31*sqrt(2)\/2 + 3009\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 933*y**2. Let c(d) = 3*d**2 - 6*d - 12. Give c(z(n)).\nAnswer: 2611467*n**4 - 5598*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*(-1*(sqrt(612) - (sqrt(612) + 0 + sqrt(612))) + sqrt(612))**2 + 0)*5.\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-1 + -1) + -1. Suppose 2*c = -4*i - 2, 0 = 4*i + 11 - 27. Is 5 a factor of (-15)\/(c\/(-6) + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:54 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 divided by -151.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/60 - v**4\/6 + 17*v**2 - 1. Determine m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570446.\nAnswer: 2, 3, 43, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1847 + 1899. Which is the nearest to 2? (a) 1\/6 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmffmm. What is prob of sequence ffm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 5:27 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -10.6. Let f = c - 22. What is the second biggest value in f, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 8*h\/11 + 8\/11.\nAnswer: 2*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011010100 (base 2) in base 9?\nAnswer: -3720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*a + 4*a + 18, -2*m + a - 2 = 0. Let f = 38 - 26. Suppose 4*g = -f - 4. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98182 (base 10) to base 12\nAnswer: 4899a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/36 + -31\/18. Which is the third smallest value? (a) u (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0 + 2\/9*i**3 - 1\/72*i**4 + 36*i - 7\/12*i**2. Factor s(t).\nAnswer: -(t - 7)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 234625855 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96958686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64056.23 seconds in nanoseconds?\nAnswer: 64056230000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211\/7 - 30. What is the fourth biggest value in -3, 2\/9, -0.2, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 219 and 47742?\nAnswer: 47742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -644 + 842. Let f = 210 - c. Sort -1\/4, f, 18, 3 in decreasing order.\nAnswer: 18, f, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 28, 50, 76, 106, 140?\n\"Answer: 2*v**2 + 12*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*k - 5*k + 12, 2*k - 6 = 2*b. Suppose k*x - 14 = 78. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02362 + 20.97638. What is the fifth biggest value in 0.2, -1, -0.3, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:34 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 7. Let b(d) = d**2 + d + 5. Let y be b(-3). Let r be c(y). Suppose -2*z + r*z - 794 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7300 + 7300 - 42*m)*(-2 - 3 - 1).\nAnswer: 252*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -9351.\nAnswer: 9350.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5160644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.011 (b) 229\/6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p)**21\/(p\/(p\/(p\/p**(-2\/3))*p))**17 assuming p is positive.\nAnswer: p**(281\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (15633*l + 2 + 15771*l + 1 - 31629*l)*(2*l - 2 + 2) as k*l**2 + r*l + y and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 2, r: 2, i: 1, d: 1}. Give prob of sequence grb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 4, 722013 in decreasing order.\nAnswer: 722013, 78, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -625*m. Let g(k) = 13*k. Determine x(g(o)).\nAnswer: -8125*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178\/(-738) + -1*(-2)\/((-16)\/(-2)) and 81\/4264?\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2378875, 4757749, 7136635, 9515539, 11894467, 14273425, 16652419?\nAnswer: 19031455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v + 12. Let o(s) = -5*s - 6. Let u(t) = 3*t**2 - 3*t. Let q be u(-1). Give q*g(r) + 11*o(r).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r**4\/3 + 445282*r**3\/3 - 532103688*r**2 - 6441080544*r - 413338752 = 0 for r.\nAnswer: -12, -2\/31, 7188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14862291.\nAnswer: 3, 509, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 25. Is 4 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3533, 2, 3, -73 in ascending order.\nAnswer: -73, -2, 2, 3, 3533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and -57\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + 0.09. Let l = o - 0.16. Let d = l - 4.99. Which is the second smallest value? (a) d (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(396)*1 + sqrt(396)) - sqrt(396) - (5 + sqrt(396)*-2 - sqrt(396)) - (-3 + (sqrt(396) - (sqrt(396) + 1 + sqrt(396))) + -3))**2.\nAnswer: -216*sqrt(11) + 32080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-21)*(-9 - 66\/(-12))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16917)\/9 + -5 + (-4)\/12. What is the hundreds digit of (1 + (-53)\/5)\/(58\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 664 - 714 = 0. Let g(a) = 15*a - 279. What is the hundreds digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 1. Let s(m) = 79*m - 237. Let x(t) = -237*g(t) + s(t). Let h(d) = 3*d. Give h(x(u)).\nAnswer: -1185*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1071292 to four decimal places.\nAnswer: -0.1071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*x - 0*x - 2*z, 15 = 4*x - 5*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 25*a - 22*a - 945, 0 = 4*f + 3*a - 1264. List the prime factors of f.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(6*g - 158 + 158).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let f be (-4)\/(-10 + 2)*6. Is f at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 + -3.035. Let w = -0.34 + z. Let a = 3.3400438 + w. Round a to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0 + 0*j + j + 4. Let y be ((-4)\/(-5))\/(8\/(-20)). Let t(m) = 2*m + 5. Calculate y*t(v) + 3*s(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7027*r**5 - 12*r - 212.\nAnswer: -140540*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2714266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 615027808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17470*u - 1352 = -17496*u for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/7 in -3, -4.4, -2\/5, -5, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/12 + 23*i**3\/6 + 43*i**2\/2 - 26*i. Let m be k(25). Is -12 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = t + 29*q, 5*t - 135*q = -140*q + 100 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 11*z**4\/12 - 2*z - 14. Let l(d) = -58*d**2 + 27*d**2 + 29*d**2. Give k(l(o)).\nAnswer: 44*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 2. Let w be 25 - (-2)\/((-14)\/49). Let p be (-6)\/w + (-24)\/9 + 7. Let o(h) = -1. Determine p*o(z) - r(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 259821, 519629, 779437, 1039245, 1299053?\n\"Answer: 259808*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 4*n**4 + 5*n**4 + (-2*n - 2*n**3 + 2*n)*(-4 + 4*n + 4) + (-1 - 2*n + 1)*(n**3 + 0*n**3 + n**3) - 52*n**4 + 975*n**4 - 408*n**4.\nAnswer: 505*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + -137. Let u = k + 160. Let t be 2\/7 - 31\/35. Which is the smallest value? (a) 20 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 120*o - 232.\nAnswer: -2*(o - 58)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 3}. Give prob of picking 1 d and 3 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5008 + 34.609\nAnswer: 34.1082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 95498163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 * -12384\nAnswer: -260.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*d + 4 = 0, -6 = h - 5*d + 5. Let r = 38.9 + -39. Let f be (2\/2)\/((-3)\/6). Sort r, h, f in decreasing order.\nAnswer: h, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 - 7*x + 8. Let n be g(6). Is ((-2)\/(-1))\/n - -9 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -0.1 (b) 39 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 691?\nAnswer: 207.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100012000001 (base 3) in base 8?\nAnswer: -541071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**2 - 22*r**2 + 6*r**2 - 5*r to the form c + q*r**2 + h*r and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + v + 290 = 14, 4*t - 2*v = 272. Let x(u) be the first derivative of u**4\/2 - 8*u**3\/3 - 4*u**2 - 26*u - 41. Let g be x(6). Is g smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 z, and 1 b when three letters picked without replacement from rozooobrrrrbbbr?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -6167 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89017184 is divided by 3997?\nAnswer: 3994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let x = 800 - 1523. Let w = x - -718. Put w, 2, v, 1 in decreasing order.\nAnswer: v, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 - 0)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.6 - 13.6. Let y = 2411.1 + -2409. Sort y, -1, 3, i in ascending order.\nAnswer: i, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/42*30\/25. Sort -0.1, p, -0.5 in descending order.\nAnswer: p, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0038235 - 0.3561816. Let h = -0.13 - 0.23. Let y = h - g. What is y rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-162)\/(-16)*8\/6. Let q = 14 - r. Factor 0*x - 1\/2 + q*x**2.\nAnswer: (x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -11. Suppose -n*x - 5 = -10. Suppose 0*i + 3*m + 7 = i, i - 2*m = 4. Sort i, x, 4.\nAnswer: i, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/2700 - g**5\/450 + 13*g**3\/6 + g. Let i(a) be the second derivative of h(a). Solve i(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -3?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3198*x**2 - 182*x - 3. Determine z(-1).\nAnswer: -3019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*v + 6, -3*v - 4 = u - 0*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 18*f**3 - 4*f**2 - 2*f. Let p(w) = -37*w**3 + 9*w**2 + 5*w. Let o(z) = 2*p(z) + 5*v(z). What is the third derivative of o(s) wrt s?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/(4\/(-761)). Let i = -5373\/82 - -1\/41. Let o = g - i. What is the common denominator of -131\/18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456033747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356)*-1 - sqrt(36))\/(sqrt(12) + (sqrt(120)*3)\/sqrt(10)) - 1*(-1*1*sqrt(75) - sqrt(75)*-2*6).\nAnswer: -58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1649 divided by 59\nAnswer: -1649\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 8*p - 8. Let a be v(6). Suppose -4 = -0*m - 4*m + 2*t, 3*t = -12. Calculate the remainder when ((-54)\/a)\/(m\/2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -59*r**2 + 40*r - 6. Let u(n) = -294*n**2 + 201*n - 30. Let k(f) = -21*t(f) + 4*u(f). Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 4*g + 14. Let m be c(10). Suppose 5*z = 5, 0*z + m = -3*v + 2*z. Let i = 29 + v. What is the lowest common multiple of i and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*c - 124405 = 0, 0 = -8*d + 5*d + c + 93323. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-100)*3\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 861 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1)*((-26)\/(-6) - 1). Let h be (-196)\/c - (-21)\/(-35). Is h at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, -4, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 569, 4004, 9693, 17636, 27833, 40284?\n\"Answer: 1127*n**2 + 54*n - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*r + 7*r - 6 + 16 + 7 wrt r?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360306312 + 2?\nAnswer: -360306310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2\/7 + 672830*p\/7 + 168208\/7.\nAnswer: -2*(p - 84104)*(4*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) + 58\/70. Let n = -1270\/1379 + -3\/394. Let h = c + n. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Let j = -1 + g. What is the second derivative of t - 5*t + j*t**2 - 6*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 896 - 168. What is the tens digit of w + (-1 - 4) - (-4)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2 + 2. Suppose -q = 2*a - a - 7, -k*a - q = -13. Suppose 0*o = -5*c - o + 87, a = 3*o. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-25) - (1 - 2 - (-1 + 0))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135609.05 rounded to the nearest 1000?\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*n - 3*h - 40, h + 4 = 0. Suppose -5*u + 0 = n. Let p = u + 2. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen quarters of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6198*t**4 - 1411*t**2 - t wrt t?\nAnswer: -148752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92753 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 44 = -594. Calculate the remainder when 109 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757477 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3837, 7872, 11907, 15942?\n\"Answer: 4035*o - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*g**2*u**3 - 1098*g**2*u**2 - 5*g*u**2 - 907*u**3 wrt u?\nAnswer: 60*g**2 - 5442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1122401?\nAnswer: 1122404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497900 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:58 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 808, 6339, 21358, 50611, 98844, 170803, 271234, 404883?\n\"Answer: 791*q**3 - 2*q**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 211466.56389 to 0 decimal places.\nAnswer: 211467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 - 15*b + 7. Let h be i(-7). Suppose h = -2*a + 9*a. Let u be (a\/5)\/(((-6)\/45)\/(-2)). What is the highest common factor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/15*11\/((-110)\/5625). Calculate the highest common divisor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.1 - 11. Let b be (5 + -6)*3\/6. What is the closest to 1 in i, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13678 = -38*s + 16984 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68710 divided by 94?\nAnswer: 34355\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-102)\/(-612)*-19\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 4. Let o be (1 - 2) + -2 + -2. Let d be z(o). Let g be 1\/(-7*(-5)\/105). Put g, 2, d in decreasing order.\nAnswer: g, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -14223.05655?\nAnswer: -14222.85655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844162904?\nAnswer: 2, 3, 76840121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -31*t + 224. Let h be f(8). Is h >= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from rkrvrkrvrrrrvrvv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3867)\/(-1015) + (-36)\/9. Let m = -2\/203 + w. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71718\/(-4)*(-344)\/258 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -12. Let l = 407\/8 + 3\/8. Let p = l - 51. What is the biggest value in h, -4\/7, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 7. Let m(x) = -3*x + 7. Let b(s) = -s**3 - 5*s**2 + 20*s + 36. Let k be b(-7). What is k*z(d) - 5*m(d)?\nAnswer: 3*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117216.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/27)*p*p\/(p\/(p*p*p**(-3\/5)*p))*((p**(-4\/5)*p)\/p)\/(p\/(p**15\/p)))**(1\/36) assuming p is positive.\nAnswer: p**(2231\/4860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 159875806 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -341757 or -342234?\nAnswer: -341757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 8. Let m be x(-7). Suppose -2*h = m - 5. Let i = 14 + -12. What is the smallest common multiple of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*y**4 - 2*y**4 - y**4 + (2 - 2 - 2*y**2)*(y**2 - 2*y**2 - y**2).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3687, -7375, -11063, -14751, -18439?\nAnswer: -22127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -14.000000076. Round b to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z\/z**4)\/z)))\/z**11 assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 2*o. Suppose 2*z + 2*v = 7*z + 22, -5*z - 4*v = 16. Let r(y) = 2*y**2 - 3*y. Give z*r(k) + 6*n(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - (111 - (133 - -114))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(9)*4 + (sqrt(3) - (sqrt(66)\/sqrt(11) + sqrt(6))\/sqrt(2)))*4.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.079 + 3.921. Let a = 3.6 - i. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.959514998 + 104.959513538. Let d = g + -103. Round d to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 66 + 48 = b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 0.04, -3, -29?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 3. Suppose -5*x + 3*d = -1051, x + 261*d = 260*d + 207. What is the lowest common multiple of x and w?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 322043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -659.8 times 714?\nAnswer: -471097.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -71*d + 66. Let a = 11 - 27. Is v(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 51, 53, 33, -15?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*s - 2 + (4*s - 4*s - s)*(0 + 3 - 2) - 2*s - 3 + 3 + 4 - 2*s - 4 + 5*s - 5*s + s - 3 - 10*s + s + 5 to j*s + u and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let h be u(6). Let w be h\/6 - 287\/(-21). List the prime factors of w\/1*(-84)\/(-49).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30382, -60758, -91134, -121510, -151886?\n\"Answer: -30376*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -37. Let g = -28 - s. Suppose 4*o = u - g, 0 = 3*u - 6*o + 2*o - 79. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28742669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*z**3 - 165*z**3 + 54 - 16.\nAnswer: 2*z**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from qcosknk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from zzzozzcococzc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1992\/108 + -19 + 1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557164 is divided by 24224?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11374109 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2 - 1412*c**5 + 2805*c**5 - 1409*c**5 + 9 + 6*c**3 wrt c?\nAnswer: -960*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -24069199\nAnswer: -9627679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*l + 253, -69*v = -l - 246*v + 7524 - 6869 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 2*w + 6, 4*l + 5*w - 3 = 0. Sort -5, -6, l in descending order.\nAnswer: l, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - 3220*h - 87018. Determine a(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 3314169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - (8 + 258\/12). Let k(c) = -2*c - 57. Let y be k(l). Solve -4*q - 13 = y, 2*x - 4 = -q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*v - 12 = 0, 2*v = -4*q + 3*v + 12. Let o(h) = -4*h + 16*h - 13*h + 39*h + 4. What is the units digit of o(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -q - 3*a + 2 = -3, s = 4*a - 4. Let b(t) be the second derivative of t**3\/3 - 3*t**2\/2 - t. Calculate b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.7 - 934922.\nAnswer: -934941.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44\/7*h**2 - 48\/7 + 64\/7*h.\nAnswer: 4*(h + 2)*(11*h - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (13 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k**2 + 24*k**3 - 2*k**4 - 12*k**3 - 10*k**4 + 8*k**3 = 0 for k.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 3*h + 4)*(0 + 0 + 4*h) - h + h**2 + h)*(h + h - h) in the form m*h**2 + p*h + s*h**3 + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w - 1. Let j(m) = 42*m - 7. Calculate j(r) - 4*y(r).\nAnswer: 74*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036389228 + -10362.\nAnswer: -10361.963610772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3536\/19 - -186. Let i = -54 + 60. Is i < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*v + 2*r + 1, -10 = 3*v + r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 238.55*-15.2\nAnswer: -3625.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105483.\nAnswer: 3, 7, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:03 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y**(2\/15))\/(y**20*y**21) assuming y is positive.\nAnswer: y**(-493\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 25 = -46*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 - -19 - (2 - 4838) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251\/306 - 2\/153. Find the common denominator of (-6)\/(-9) + (-259)\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7320 - 1242.\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 0*k**2 + k**2 + 0*k + 12. Calculate the smallest common multiple of p(-5) and 6\/8 + (-3657)\/(-276).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 11:39 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 143*b**2 + 10*b - 142*b**2 - 1 - 11*b. Let u(z) = -2*z**2 - 16*z + 4. Determine u(j) + 3*v(j).\nAnswer: j**2 - 19*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*-3 + 160\/88. What is the second smallest value in 5, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 194.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 3*l - 60 = 0. Solve -2*b + 3*x = 15, -l*b = -0*b - 5*x + 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2591 at least as big as -2587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyzz when four letters picked without replacement from zzzzzzyzyzzyzzyzzyz?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*x - 5*x + 393, -5*x = -2*y + 241. Let b = y + -69. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -484, -2, -3, 0.5, -1156, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.191906 and -4334374.\nAnswer: -4334380.191906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 473*y + 2377. Let q be u(-5). Solve h - 2*h - 5 = 5*c, 4*c + 4*h - q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k + 3. Let d(y) = -y - 1. Calculate a(r) + 5*d(r).\nAnswer: 7*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(77)\/(sqrt(63)*6) - (2 + sqrt(176) + ((sqrt(176) - (-2*sqrt(176) - sqrt(176)) - sqrt(176))**2 - sqrt(176)))) + -2).\nAnswer: -3176 + sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1)\/3 + 8\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 37*s - 10 = 0. Put -3, -4, s, 2 in descending order.\nAnswer: 2, -3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o**2 + 19*o**2 + 44*o**3 + 3*o**3 - 66*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -15*y**3 + y + 1. Let v = -5 - 1. What is the remainder when c(-1) is divided by v\/9 + 52\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345681146?\nAnswer: 2, 47, 3677459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 - 2*g**2 - g + 66 + 0*g to the form h*g + f + c*g**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(8)\/sqrt(4)*1.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 101820966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -0.4 (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 84 - 44)*(y + 2*y - 7 - y).\nAnswer: 192*y - 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h. Let v(o) = o**3 - 8*o**2 + 10*o - 2. Let b be v(7). Let u(y) = -b*y + 2*y**2 + 19*y. Calculate u(i(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.19, -15, 1\/3077?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. Let w = v - 9. Let h(d) = 5*d**3 - 10*d**2 - 5. Let r(n) = 6*n**3 - 11*n**2 - 6. Let c(m) = 7*h(m) - 6*r(m). Give c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/3 - 730*v**2\/3 + 66976*v\/3 - 66248\/3 = 0.\nAnswer: 1, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 38*f - 42*f + 19, 13*y + 4*f - 55 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + 4*p + (2 + 0 - 1)*(4*p - p + 3*p))*(-16*p**2 + 429 - 429).\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 19 = 4*r, -3*r - r - 14 = -2520*j + 2518*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*y. Let q = 18\/47 + -472\/987. Is q greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 19*g**2 + 51*g + 13. Let a be d(-9). Let r = -359 + a. Solve 3*k = 2*j + 7, -3*k + 1 + 12 = -r*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17516 is divided by 72.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/6945 or -1?\nAnswer: 2\/6945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - 11060449\nAnswer: -11060447.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 277266.7ug in nanograms?\nAnswer: 277266700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791973?\nAnswer: 3, 7, 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*g**2 + 350*g**3 - 350*g**3 + 2*g**4 + (-2 + g**3 + 2)*(-3*g - 3*g + 3*g).\nAnswer: -g**4 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from cciciiicciiicapiic.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:50 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -51783150.\nAnswer: 1\/25891575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -7*b**5\/20 - 7*b**4\/24 + 24*b**2. Find the second derivative of m(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -10. Let r = 44 + -49. Which is the nearest to 2\/5? (a) r (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 881932 and 789214?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g - 455 + 779. What is the highest common divisor of 936 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8704168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(276\/(-36))*-2*2\/102?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - z**2 - 8*z**4 - 9*z**4 + 16*z**4 + 1 + z to c*z**2 + d*z + b*z**3 + p*z**4 + l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69634862 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Suppose 5*l - z - 143 = 0, l - 2*z + z = 27. Suppose -l = 7*u - 8. Let c be y(u). Solve w = c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/20903 in 0.0233, 5, -1\/3?\nAnswer: 0.0233","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 883657*a**3 - 43*a**2 - 7*a - 266.\nAnswer: 5301942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 109098 (base 11) in base 2?\nAnswer: 101010010001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -6, 33, 140, 345, 678, 1169, 1848?\n\"Answer: 5*l**3 - 11*l**2 - l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752556 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/26*60\/(-2). Calculate the highest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e5e (base 16) to base 4.\nAnswer: 10321132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136695, -273329, -409963, -546597, -683231?\nAnswer: -819865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4)*-330*(-72)\/3780\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6149 less than -6150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -300 + 287 - (-15 - -2) - -127?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -15. Suppose o - 3*x - 42 = l, -3*x + 148 = 4*o - 5*x. What is the highest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*r + 8, 3 = -s + 2*r + 7. Factor 2*m + m**3 + m**3 + s*m**2 - 5*m**2 - 3*m**2.\nAnswer: 2*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/31 (b) 3 (c) -0.4 (d) -2\/45 (e) -1 (f) 7\/3 (g) 4.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.771 and 0.1.\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/18*(-42)\/168*18 + 0 + 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 5572*g**3 - 11136*g**2 = 0. Calculate g.\nAnswer: -2784, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 3785*p**4\/6 + 1460*p**3 + 3536*p - 2. Find the second derivative of t(m) wrt m.\nAnswer: 15140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88 times 234904?\nAnswer: 206715.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 + 5*a**2 - 4*a**2 + (-2 + 0 + 4)*(6*a**2 - 5*a**2 + 3*a**2) + a**2 - 5*a**2 + 2*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 0, 8222 in decreasing order.\nAnswer: 8222, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/2 + (-1 - 0). Let u(n) = 2*n**3 - 2*n**2 - 2*n. Let r = -4 - -3. Let h be u(r). Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v = 11*v + 3720268. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (3 - 0) - (21 + -23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - 14*c - 4. Let s(v) = 3*v**2 + 12*v + 5. Let l(i) = 2*h(i) + 3*s(i). Let u = 138 - 214. Let x be u\/(-10) + (-6)\/(-15). What is l(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 14. Let g = y + -15. Suppose 190 = 4*w - 2*t, 0 = -3*w + g*t - 0*t + 125. What is the highest common divisor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 22902810?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(198\/(-24))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 + -331. Let m(v) be the third derivative of -1\/9*v**4 - 2\/3*v**3 + 0*v - 7*v**2 + 1\/45*v**l + 0. Let m(d) = 0. What is d?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 - 35*q + 126 + (0 - 1 - 3)*(18 - 18 - q) in the form d + a*q and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*l - 9, 52966*l = c + 52961*l + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101112 (base 4) to base 15.\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3515*z + 3510*z - 100, f = -z - 18 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 5.06. Let h = -19144 + 19141. Which is the nearest to 0.3? (a) 2\/11 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48781.86 tonnes to milligrams.\nAnswer: 48781860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-393030)\/(-15525) + -26 - 2\/(-3).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 4, w: 9, d: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70455 + 2?\nAnswer: 70457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 66)*(2 + 2*g + 5 + 5).\nAnswer: -118*g - 708","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2739*n**6\/2 - 3863*n**2\/2 + 9252. Find the second derivative of t(x) wrt x.\nAnswer: 164340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-452195)\/(-50) + (8 - 4)\/40. What is v rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**35*g**31)\/(((g*g*g*g*(g*g**23*g)\/g*g*g)\/g)\/(g\/g**(4\/37))))**13 assuming g is positive.\nAnswer: g**(18226\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 + (-43279)\/791)\/((-80)\/42)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) + -3 + 3. Sort -1\/4, z, 0.5, -16 in ascending order.\nAnswer: -16, -1\/4, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/60 + 29*r**4\/24 - 16*r**3 - 440*r**2. Suppose d(p) = 0. Calculate p.\nAnswer: -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from jgiign.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/4)\/((-2)\/8). Suppose 4*w - 4*i = 40, 0 = w - 6*i + t*i - 10. Let n(c) = 9*c - 50. Let p be n(6). Solve p*m - 26 = -w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5*t**3 - 918996*s**4*t - s**2*t**3 + 19699*s*t**3 - s*t**2 + 29*t wrt s?\nAnswer: -60*s**2*t**3 - 22055904*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = d + 116 - 122, -97*d + b = -870 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 + 1678.6?\nAnswer: 1198.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 1 + (415 - 408).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 13*g**3 - 6*g**3 + 13*g**3 + 16*g**3.\nAnswer: 36*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1 + 11*u - 1. Suppose -3*c - 2*c = 4*f - 16, -c + 20 = 5*f. Let o(h) = 4 - 8*h + 6*h - f. What is 2*g(q) + 10*o(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1737.6*5.\nAnswer: 8688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 140*m - 2256 = -15*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Suppose -2*b + 16 = n. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542121957 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181366917.\nAnswer: 3, 179, 337741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -24*h + 0 - 265\/6*h**3 + 6*h**2 - 277\/24*h**4. Find the first derivative of v(m) wrt m.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:33 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l**(-29)\/l)\/l*l))\/l*l\/l**(22\/9))\/(l*l*l\/(l*l**(5\/4)))**(-18) assuming l is positive.\nAnswer: l**(721\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j**(1\/3)*j)\/j*j))**(17\/2))**(6\/29))**(-18) assuming j is positive.\nAnswer: j**(306\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53\/14 (b) -0.2 (c) 7 (d) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/10 - (63\/30 - 0). Let l = 4246\/9 + -472. Which is the closest to 2? (a) r (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020362 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*p + 18 + 13, -2*p + 10 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 a when three letters picked without replacement from nuiujgguuauaugigiu.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20923, -41850, -62777, -83704, -104631, -125558?\n\"Answer: -20927*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/40 + 446\/(-24) and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 32*v = 35*v - 19, -5*c + 5*v = 45 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 30 = 5*r, 4*w = r - w + 18. Find the third derivative of -87*i - 5*i**2 - 86*i + 173*i - i**3 + r - 38*i**4 wrt i.\nAnswer: -912*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (13 + (-35 - -8 - -17))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -50307.\nAnswer: -1\/50307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*4)**2 - -6*(sqrt(17) + 2).\nAnswer: 6*sqrt(17) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.07, -9\/31, -22, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -14.9299.\nAnswer: -447.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*g - 8*g**3 + 40*g)*(2 - 3 - 1).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = 2. Find the third derivative of 3*v**6 + p*v**2 + 2*v**2 + 3*v**6 wrt v.\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4641*s**2 - 18 - 4643*s**2 + 4. Let l(q) = -2*q. Give l(v(x)).\nAnswer: 4*x**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1207.3 - 1078. Let h = -129 + i. What is the nearest to -1 in 1\/4, h, 9, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttu when four letters picked without replacement from {y: 1, u: 1, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/9 or 12535?\nAnswer: 12535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 69*m**2 + 1771*m - 192. Determine o(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -172*m + 266*m. Let v be -3 - ((-2 - 0) + -11). Solve -f + v = -m*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - (-8 + (2 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.20571 + 0.11751. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/8, -3\/5, 0.19?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177, 355, 537, 723?\n\"Answer: 2*k**2 + 172*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1659231 (base 13) in base 12?\nAnswer: -2500983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56822 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: Suppose -2*m - 2*b + 12 = -6*b, 4*b + 8 = m. Suppose m*z + 6 = 14. Suppose 39 = z*p - 27. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 3. Let i(g) = g**3 + 4*g**2 - 7*g - 6. Let v be i(x). Let w be 10\/v + (-1)\/2. Solve u - w*u + 3*c = -19, -3*c = 2*u + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 9*r**2 - 9*r + 7. Let f = -3 - -5. Suppose 0*u - 23 = -u - f*j, j + 119 = 4*u. What is the remainder when u is divided by d(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose t - 6 + g = 0. Let y = 3 - 3.2. What is the third biggest value in -1\/8, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/8, -0.1, 33\/26539 in decreasing order.\nAnswer: 0.3, 1\/8, 33\/26539, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 10*s**2 + 16*s + 9. Let k be y(-8). Let t be 5344 + 4\/12*k. Let z(i) = 5347 + i - t. Let l(p) = -12*p. Give z(l(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 475, 955, 1447, 1957, 2491, 3055?\n\"Answer: u**3 + 473*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*i + 299*i + 558*i + 50895 = 0 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 3*v - 5*g - 6, 2*g + 46 = 2*v + 70 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38140618*x**3 - 6*x**2 - 133467781?\nAnswer: 114421854*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8663544 is divided by 370.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12464 minus -620.8541?\nAnswer: -11843.1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from keetetkk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -644 and -171.\nAnswer: 110124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g**2 - 23*g + 16*g - 1 + 0*g + 2*g + 7*g to k*g**2 + d*g + y and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 55 + 55. Let j(x) = 3*x. Calculate v(j(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 16*a**2 + 15*a + 2. Let z be m(15). Suppose -5*g - 13 - z = 0. What is the common denominator of ((-77)\/32)\/(g\/(-12)) and 8\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 8. Let b be (2 + -3)*(-10 + 9). Let f be ((-3)\/(-4))\/(b\/4). Calculate the lowest common multiple of 26 and h(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.161 and -2?\nAnswer: 6.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37875 is divided by 11500.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 52*p + 52. Give d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -927601?\nAnswer: 92760.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4161 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 - (2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 67, 96, 137, 190, 255?\n\"Answer: 6*g**2 - g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4921 + 143*w + 4921.\nAnswer: 143*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 2:41 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1076886 divided by -9\nAnswer: 119654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*13607.\nAnswer: -136070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1075924*b**5*f**2 + 92*b*f**2 + 496*b wrt b.\nAnswer: 21518480*b**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l**2 - 1. Let a(m) be the first derivative of 0*m**2 - 5\/3*m**3 + 0*m + 72. What is 5*a(r) + 2*w(r)?\nAnswer: -3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c - 225 = 225. Let n(t) = 12*t**2 + 16*t - 4 + 4 + t**3 - 2*t**2 - c + 7*t**2. Calculate n(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1322*k**2 + 32*k + 32. List the prime factors of r(-1).\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/5, -2, -17.1, 334, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49179522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((0 - 2) + (-2 - -5 - 6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Let a be (0 - -1)*(j + -2). Suppose 4*k = 2*c + a - 7, -5*k - 15 = -4*c. Solve -2*n - 10 = 0, -r + 24 = -0*n - c*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*j + j. Suppose 0 = j*u - 33 - 3. What is l in 0 - 8*l + l**u - 1 - l**2 + l**5 - 3 + 5*l**4 + 6*l**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -7*f**4\/2 - 2*f**3\/3 - f**2 - f + 1. Let n(c) = -13*c + 64. Let h be n(5). Is u(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa644 - 2?\nAnswer: aa642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.35, -2238, -3?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 12, 3*s + 6 = 4*q. Let j(b) = -10*b**s + 13*b**2 + b**2. Let r(l) = 7*l. Let m(d) = -4*d. Let i(w) = -11*m(w) - 6*r(w). What is j(i(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3 - 17. Let n = k + 0. Suppose 0 = -2*q + 4*b + 82, -5*q + 49 = b - 134. What is the remainder when q is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 30.2704933139871?\nAnswer: -30.1704933139871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y + 63. Let w be q(-7). Let m(o) = 2*o**2 - 16*o + 16. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**3 - 6*q**2 + 2. Let i = 7 + -3. Suppose 1 + 3 = i*g. Let n(p) = -p**3 - p**2. Determine g*m(f) - 5*n(f).\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 0.1, 3, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2305\/79867?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 128 + c87?\nAnswer: 10b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g, 0 = -6*s + s + g + 18. Let r = -0.28 - 17.22. Let n = -17 - r. What is the nearest to -2\/3 in s, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1362, -2715, -4090, -5499, -6954?\n\"Answer: -2*f**3 + f**2 - 1342*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-171))\/((-3)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19081852*w**2 - 22702506*w.\nAnswer: 38163704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2481 or 1?\nAnswer: -2\/2481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 9. Suppose -3*p = 2*m + m + 18, 3*p + 4*m = -18. Let h(u) = 4*u + 19. Calculate p*h(g) + 13*b(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 180 = 2*a. Suppose 20 = -4*j + a. Find g such that j*g**2 - 6*g**2 + 2*g + 3 - 3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:12 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/2))**(-28)\/(g**(4\/5)*g\/(g\/g**(-1\/5))) assuming g is positive.\nAnswer: g**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:15 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5570 (b) 1255 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4865484.855581448 + -0.055581448. Let m = -4865503.7999999 + g. Let a = m + 19. Round a to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -41 + 0 + -53 + 60.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x. Let s be n(1). Suppose 3*o + 7 = 4*r, 2*o = -2*r + 3*r + s. Suppose r*j = -3*q + 34, -6 = -q - 5*j + 9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0*u*u*u**(-8)*u)\/(u**(-1\/4)*u\/(u*u**3)))\/((u**(-1)\/u)**(1\/10)*(u**(2\/5))**(-7)) assuming u is positive.\nAnswer: u**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let a(l) be the third derivative of -l**5\/60 - l**4\/24 + l**3\/6 + 8*l**2 - 2*l - 12. Let j(q) = q**3 + 2*q**2 + q - 2. Calculate n*a(t) + j(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c**2 - 644*c - 21*c - 13*c**2 + 83*c - 43*c**2 in the form d*c**2 + i + h*c and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*1)\/sqrt(10) - (0 + (sqrt(9)\/sqrt(3) - sqrt(3))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -41, -0.01, 13, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j + 0 + (-2*j + 0*j + j)*(0 + 4 - 2) - 3 - 3*j + 3)*(-1 - 2 + 2)*(3*j**2 - 3*j + 3*j)*(3 + 2 - 3).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h - 5*f = 334, -3*f - 15 = 0. Suppose 4*a - 4*v - 76 = 0, 0 = 3*a - 8*a - 3*v + h. Solve g = -4*g + a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -1\/6*h**6 - 4*h**2 - 20\/3*h**3 - 9\/2*h**4 - 7\/5*h**5 + 0*h - 4. Factor x(p).\nAnswer: -p*(p + 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899.7703s in weeks?\nAnswer: 0.00479459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47 (b) -4 (c) -2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 13*v**2 - 11*v + 8. Suppose 0 = -6*l + 3*l + 1332. Suppose -10*d - l = 27*d. Calculate k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.98 + 0.98. Let f = l - -37. Which is the second biggest value? (a) 0.2 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 3186?\nAnswer: -31a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**3\/7 + 128*v**2 - 1804*v\/7 + 904\/7 = 0.\nAnswer: -226, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 637, 657, 39, -1217, -3111?\n\"Answer: -319*l**2 + 977*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 53505?\nAnswer: 53506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 43*(4200\/14)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/33? (a) 0 (b) 37\/11 (c) 11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6418, 6419, 6420, 6421?\n\"Answer: o + 6417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 22*x**5\/5 - 19*x**2 + 16*x. Differentiate l(c) with respect to c.\nAnswer: 264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2943 divided by 1\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 2*a**3 - 3*a - 2. What is the first derivative of m(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/23 - (1022\/(-805))\/((-14)\/(-2030)). Suppose 0*k = -k + 24. Let w be k + 1\/((-1)\/1). Calculate the highest common divisor of w and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4957 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/120 - w**5\/60 - w**4\/24 - 5*w**2. Let p be i(4). Suppose 3*x + x - p = 0. Solve -4*b + 9 = -x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 2*v**3 - 3*v**2)*(4*v + 7*v - 4*v) + 9475*v - 169*v**4 - v**2 - 9475*v to the form w*v**2 + m*v**4 + y*v + h + j*v**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29350 is divided by 1172?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 3. Let v = 22 + -14. Let r(o) be the third derivative of -1\/24*o**4 + 0*o - 24*o**2 + 0 - 1\/6*o**3. Determine v*r(s) - 3*q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Suppose -5*o - 2*t + 230 = w, -8 = -t - 3. Suppose -h + 5*n + o = -0*h, 0 = 2*h + 2*n - 88. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 + 2533827*j = 0. What is j?\nAnswer: 0, 844609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 7710?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4873, -9730, -14571, -19390, -24181, -28938, -33655?\nAnswer: -38326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/13 - 30*j**3\/13 + 20*j**2\/13 + 120*j\/13 - 144\/13 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5763 to two dps.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3939433099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 416880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:49 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6916 + 103742\/15. Do 199 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + m + 61 = 0, -3*f - 5*m + 37 + 26 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1155562764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138449*l**2*p - 2*l*p + 15*l + 3*p wrt l?\nAnswer: 276898*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2958*o + 28406 + 28067 + 5645 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(141\/282).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 8*c - 6. Let p be l(9). Let r be (-1 - -2) + 12\/p. Suppose 0*i = 5*j - 2*i - 197, 61 = j + r*i. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107871216*d**6*m + 52*d**2*m - 4*d**2 + 2*d*m + 37*d + 2*m - 5 wrt d?\nAnswer: 12944545920*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 541.8? (a) 7 (b) -2\/31 (c) 2\/5 (d) -0.2 (e) -0.4 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50063 and 10790?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 2, f: 4, g: 2}. What is prob of picking 2 f and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-77)*32621\/4. Let l = j - 2268\/11. Find the common denominator of l and 17\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, 1 h, and 1 u when four letters picked without replacement from hvuuvhhhhhruhuh.\nAnswer: 64\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 253*a**2 - 13. Let n(f) = 13997*f. What is h(n(i))?\nAnswer: 49566750277*i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/(-270) - (-26)\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 2558*j**4 + 5108*j**3.\nAnswer: 2*j**3*(j + 2)*(j + 1277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11186600 to the nearest 100000.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) 3 (c) 4.3 (d) 0.07 (e) -1 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 11*m - 2. Determine b(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 7119?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(605) - (sqrt(45) + -2*sqrt(45))**2.\nAnswer: -47 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 3 - 3*i + 3*i)*(2 + 0 - 3) to z + p*i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 522. Let u(c) = -c. Determine b(u(n)).\nAnswer: -3*n**2 + 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58102 and 7923?\nAnswer: 174306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/25)\/(-3)*(-50)\/(-30)*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = 0, 5*n + 5 + 3 = c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 168. Let h(t) = 2*t**2 + 59*t + 16. Is h(a) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*o - 21, -g + 16 + 2 = -4*o. Let a = o - -5. Suppose -4*r + 99 = -0*t - t, -2*r + t + 47 = a. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895914249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/((-72)\/108).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/9 - 9977\/(-99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1190365960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Let g = p + 0. Find the third derivative of 3*n**4 + g*n**2 + 2*n**2 - 2*n**4 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600655 to the power of 1\/2, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-13 - -5 - -7) + 5 + -4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 25 - (30 - (-3 + 7)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017957988047 rounded to six dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/33)\/((12\/2)\/(-18)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.72 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3732\/6967 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130 + 130 - 9*k + (2*k + 0*k - 3*k)*(0 + 0 + 2).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68291084 to the power of 1\/2, to the nearest integer?\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-27)\/(-18))\/(3\/2). Sort -3, 2, -4, l in decreasing order.\nAnswer: 2, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-13 + -3 + 10)) + -2 - (-46 - 12).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5754 + 2515*w**3 - 2891 - 2863.\nAnswer: 2515*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**3 - 2*w**2 - w. Let p(s) = -s + 7. Let c be p(9). Let u be o(c). What is the highest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -318*s**4 - 27*s**3 - 1097*s**2 + 774679234?\nAnswer: -1272*s**3 - 81*s**2 - 2194*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-18)\/(-15282))\/(5\/14403). Let y = 2\/283 + g. Let y*c**2 + 28\/5*c - 24\/5 = 0. Calculate c.\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16576146 and 4692?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*y = -82*y + 228*y + 2924 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 78 - 3*m**3 - 78.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7339947*f. Let l(h) = -3*h**2. Calculate l(c(g)).\nAnswer: -161624465888427*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 968*m**2. Let v(x) = -199460*x. Calculate v(b(q)).\nAnswer: -193077280*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*f + 2*f + 180 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9224331m?\nAnswer: 922433100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)*z)\/z**1*(z\/(z**(-2\/7)\/z))**(25\/3))**(8\/11) assuming z is positive.\nAnswer: z**(464\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, b: 2, i: 5, n: 7}. What is prob of sequence wbii?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-13\/6)*m)\/m*m)\/(m\/(m**(5\/4)*m)))\/(m**(3\/7)*m**(-23)) assuming m is positive.\nAnswer: m**(1903\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -21415376425.\nAnswer: -21415376424.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1722.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-5\/7)))**42\/(q**6)**37 assuming q is positive.\nAnswer: q**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, -26.99.\nAnswer: -26.99, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*1849\/(-16254)*-6.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 5989.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271\/4*n + 68 - 1\/4*n**2 = 0. What is n?\nAnswer: -1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747938 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: Is 13 a factor of 871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 23. Suppose -2*q = 2*r + 6, -r = -4*q - q + a. Let x = -0.5 - 0. Sort 4, q, x in increasing order.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 4*v. Suppose -10 = 4*d + 5*l, -11 = -2*d + 4*l - 3. Is v at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 11. Which is smaller: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 + 5*f**2 + 4*f**3 + (2*f - 3*f + 3*f)*(-2*f**2 + 2*f**2 + 3*f**2) + 2*f**3 + f**3 - 2*f**3 + 2*f.\nAnswer: 11*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078*-3.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6056510.4 microseconds in days?\nAnswer: 0.0000700985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 40016 + 39977 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -70 - 4*y + 41 + 37. Suppose 5*q - 7 = -37. What is the smallest common multiple of 12 and v(q)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and 1.38.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99940000 rounded to the nearest 1000000?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 6*y**3 + 3*y**2 + 12*y**3 + 25*y - 14*y**3 + 64*y to the form o*y + f + t*y**2 + m*y**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8 - (-15 - (-9 + -13))) + -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 377*w**5\/5 - 160*w**3\/3 - w**2 + 227. Find the third derivative of f(j) wrt j.\nAnswer: 9048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-33)))**15*(((z\/z**(-3\/13))\/z)\/z)\/(z**(8\/9)*z) assuming z is positive.\nAnswer: z**(-58226\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19279.53 - 19279. Which is the smallest value? (a) 0.1 (b) -4 (c) p (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + -4*sqrt(1584) + -1)*-2)**2.\nAnswer: -960*sqrt(11) + 101401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9106 and 61858.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409\/455 - 8885571\/9884420. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/(-144) + (-16)\/(-36) and -83\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -16. Let d be 2\/((r\/(-218))\/((-6)\/(-12))). Suppose 3*t - 324 = o + o, 2*o = 2*t - d. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(225)\/sqrt(36) - sqrt(25)))\/(6*(sqrt(15)\/sqrt(3) + sqrt(5)) - sqrt(5))*4 + -4*(-5 + -3 + 1 + sqrt(320)))**2.\nAnswer: -19376*sqrt(5)\/11 + 693444\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 8418424.115\nAnswer: -8418424.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11642, -23282, -34938, -46610?\nAnswer: -58298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 161, 393, 977, 2033, 3681?\nAnswer: 6041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 + -2.99. Let i = 3.2 + s. What is the nearest to 2\/9 in 4, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + p**3 + 3*p**2 + 1 + 5*p**2 - 6*p + 2. Let z(f) = 8*f**3 - 2*f**2 + 1. Let h be z(-1). Let w be d(h). Sort -6, 2\/3, w in descending order.\nAnswer: w, 2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/17)*(y\/((y*y**(-11)*y)\/y))\/y)\/(y**(1\/20)\/y*y**(-1\/7)) assuming y is positive.\nAnswer: y**(31441\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmddmdrrmdgydrr. What is prob of picking 1 d, 1 g, 1 r, and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p + 2. Let q be n(-2). Let x be -2 - (-5)\/((-15)\/18). Let s = -6 - x. Solve t + q = s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)\/o)\/(o**(3\/11)*o)*o*o**(2\/3)*o**(2\/11) assuming o is positive.\nAnswer: o**(-575\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*l - 17*l + 26*l)*(3 + 2 - 2).\nAnswer: -225*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13521 - 7270. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 1, r: 3}. Give prob of picking 1 x and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/11, 5, -0.6 in descending order.\nAnswer: 5, -0.1, -2\/11, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 104. Calculate the remainder when l is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:44 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*y + 35. Suppose z + 4 - y = -3*b, 0 = -2*b - 4*z + 14. Solve b*a = t - 3, -2*a + 5 = -a - 3*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11594 (base 13) to base 16.\nAnswer: -7bec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3*w**3 + 26807*r**2*w**2 - 17*r*w**3 + 353*r*w - 2*w**3 - 2*w**2 wrt r?\nAnswer: -6*r*w**3 + 53614*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-35) - (-2 + 92\/35). Which is the second biggest value? (a) s (b) -1 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n - 12*n)*(-n**2 + 2*n**2 - 4*n**2) + (-5 + 2 + 4)*(3*n**3 - 5*n**3 + 4*n**3) + 5 - 5 + 2*n**3 + n**2 + n**3 - n**2.\nAnswer: 53*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + z + 51 = 0, -2*z - 259 = -5*q + 2*z. Let y = -35 + q. Let k(a) = -a**3 + 5*a**2 + 2*a - 3. What is the remainder when y is divided by k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33654 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 74.9. Let d = k - -3. Let q be (-4 + 4)\/(4\/2). Which is the nearest to q? (a) 0.3 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4881 + -29285\/6. Let y = -0.02 + 0.12. Which is the closest to y? (a) 0.012 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -22. Let v be (-2 + b)*-1*-1. Suppose -v = -l + 1. What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 5*i**2 + 2*i - 7. Suppose -4 + 19 = 3*m. Does 3 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2231\/5834 in -2, -2\/3, -3, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 - 20 = -3*o, 4*o + 4*l - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/54 + 3)\/(-1 - -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -123, -512, -1169, -2100, -3311?\n\"Answer: -i**3 - 128*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163712 and 1704.\nAnswer: 34870656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -514028 (base 9) in base 16?\nAnswer: -4a66c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 8. Let a be (-40)\/6*(-12)\/(-8). Let i be f(a). Solve 5*t + 2 = -3*o, 8 = -t + 5*o + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppxrbxprprppx. What is prob of picking 1 p and 2 x?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247841 + 1562014 + 1856205 = 93*m. Is 270 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8610 + 8613. What is the nearest to -0.1 in -7, -202, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 2*f + 3*f**4 + 16 - 14 - 1 + 2*f**2 to g*f**3 + q*f + x*f**4 + d*f**2 + c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*j + 262*j = 163*j + 24552 for j.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 251*m + 5. Let c(w) = w - 1. What is 10*c(k) + 2*i(k)?\nAnswer: 512*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddiddddddddidi. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k**3 + 61*k**3 - 33*k**3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4)*-2)\/(38\/76). Sort 4, 18, n in increasing order.\nAnswer: n, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*p - 10, -1 = -2*o + 2*p + 9. Is (o + 1)*(2 - -16) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a + 57. Let o = 6846 + -184915\/27. Calculate the common denominator of ((-9)\/63)\/(a\/427) and o.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {z: 3, d: 2, o: 1, w: 1, n: 2, j: 6}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + 5*n)*(3 - 4 + 0)*(-5*n + 14*n - 5*n).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10638 or 10637?\nAnswer: 10638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzz. Give prob of picking 1 z and 2 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 973 + -766. Calculate the greatest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -28, -27, 0, 65, 180, 357?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15 - -3)\/(-4))\/1. Suppose 196 = r + t*r. Is r 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 427298?\nAnswer: 2, 213649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-21 - 1113\/(-49))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:18 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 - -71 - -94 - -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20600, -20613, -20634, -20663?\nAnswer: -20700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -2, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300101 + 10241?\nAnswer: -234310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-35)\/(-5) - (6 - -5). Sort -147, l, -27.\nAnswer: -147, -27, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s**2 - s - 11. Let p(r) = 7*r**2 + 2*r + 10. Let d(z) = -7*p(z) - 6*v(z). Determine d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 1, l: 1, f: 1, y: 2}. What is prob of sequence yl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20347922273 + -401.\nAnswer: -20347922674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 32*t - 91. Suppose 5*i + r - 62 = 57, -4*i + 2*r + 98 = 0. List the prime factors of x(i).\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**2 - 149*a**3 - 3*a + 4*a + 5*a**2 + 2*a**2 to n + i*a**3 + b*a**2 + t*a and give i.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b - 1 = 0. Let t be 4 + -1 - -1 - b. Solve -a - 4 = -t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 31 = 5*i, 5*k + 1641*i + 17 = 1642*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14724833 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422 is divided by 4033.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5 - 418*p**4 - 21628*p**3 + 22468*p**2 + 21630*p - 22050 = 0. Calculate p.\nAnswer: -105, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(468) + (sqrt(468)*1*6)**2)*6.\nAnswer: -303264 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 10*y + 11. Let u be 2 + -3 - (1 + 0). Let i(d) = -d**2 - 2*d - 2. Let b = 29 + -40. Give b*i(o) + u*h(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*7*4\/490*627900\/(-4600).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -3 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5283 is divided by 85?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25447*b*s**6 + 1231*b*s**2 - b*s - b - 22*s**5 - 76*s**2 - 2 wrt s.\nAnswer: 3053640*b*s**3 - 1320*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2. Let q(a) = -17 + 17 - 20*a**2 + 5*a**2. What is -6*q(r) - 25*w(r)?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) 1.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31993*f = -32743*f + 81750 for f.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*w - 5. Let z = w + -64. Let u = 38 + z. Which is greater: -26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 47. Suppose 0 = x + 2*t + 2, -2*x + t = 19 + 5. What are the prime factors of r(x)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*q - 195*q - 9*q**3 + 2*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -17. Differentiate 3*k**4 + p - 3*k**4 - 3*k**4 with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*z - 6, -12 = 2*z + 5*d + 3. Suppose z = -28*v + 23*v + 50. Calculate the lowest common multiple of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = b - 216. Suppose -18*r - b = -9*r. Put 2\/7, 1, r, -11 in ascending order.\nAnswer: -11, r, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -298, -599, -1108, -1891?\nAnswer: -3014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667084?\nAnswer: 2, 409, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13000516 - -32?\nAnswer: 13000551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -272, -967, -2088, -3605, -5488, -7707, -10232?\n\"Answer: 5*i**3 - 243*i**2 - i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593 is divided by 782?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4089 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0, -1\/3, -0.0913, -0.2, 3\/5?\nAnswer: -0.0913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*v + 156, -4*n = -32*v + 34*v - 624. Calculate the highest common divisor of n and 2041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 16) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k - 15. Let v(c) = 12*c + 16. Determine -5*l(p) - 6*v(p).\nAnswer: -2*p - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:53 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2893 = 2*q, -8*h + 3*h - q = -2894. Suppose 8*i + 525 = -h. What is i rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 287\/(-21) - 1\/3. Is 7 a factor of (-4)\/(-6)*(-315)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297089, 1188252, 2673527, 4752914, 7426413, 10694024?\nAnswer: 14555747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 3*k**2 - k + 1. Let f be y(2). Suppose 10 = -2*g - f*g. What is the units digit of (-8)\/3*(-1 + g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1246 = -2*c - 1242, 3*p = 2*p - 0*p - 4*c - 10 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13780, 27973, 42166, 56359, 70552, 84745?\n\"Answer: 14193*s - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*b + b + 3, 3*j - b = -3. Suppose j*l = -4*l - 488. Let q be 2\/(4\/l)*-1. Round q to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64008 and 332136?\nAnswer: 42181272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90744.\nAnswer: 2, 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231284526332*d**2 + 2*d**3 + 231284526332*d**2 - 206*d.\nAnswer: 2*d**3 - 206*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1370 = -18*n + 1676 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/2)\/c**(3\/4))\/((c\/c**(-7))\/c*c**(-2\/15)*c) assuming c is positive.\nAnswer: c**(-667\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3 = -3*b, -33*b = -2*g + 8*g - 36*b - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31525*m + 776*m**2 + 1 - 31525*m in the form u + z*m**2 + t*m and give z.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*k**3 + 0 + 2\/3*k - 2\/3*k**4 + 2\/3*k**2.\nAnswer: -2*k*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**3 + 7*j**3 - 6*j**3)*(3*j + j - 5*j) + 0*j**4 - j**4 + 3*j**4 as u*j**3 + q*j + x*j**4 + c + h*j**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855447621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by -6\nAnswer: -125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (1890\/21)\/(-15). Solve w*f - 87 - 4 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 3}. What is prob of picking 2 i and 1 x?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -r + 25 - 79, -5*k = 4*r + 183. Let v be -6*(-3)\/42 + 18\/r. Solve -6*z + 4*z + 4 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1180481 in ascending order.\nAnswer: -1180481, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 126157 - 126173 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12741167*s**4 + 100502986 wrt s.\nAnswer: -50964668*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1163, 1171, 1191, 1229, 1291, 1383, 1511, 1681?\n\"Answer: n**3 + n + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let g(k) = 3*k**2 + 2*k - 8. Let f be g(5). Suppose f*v + 6 = 80*v. Let h(p) = 3*p**v + 5 - 8 + 3. Calculate h(q(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1452 + 1451.99. Which is the second smallest value? (a) -5 (b) 0.17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/360 and 121\/860.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 3 + 279*t - 279*t - 2 in the form d*t + j + r*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2. Let x be -4 + 4 + -2 - -3. Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 155198, 155229, 155264, 155297, 155322, 155333, 155324?\n\"Answer: -p**3 + 8*p**2 + 14*p + 155177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i = -6. Let f(m) = 122*m**2 + 5*m - 6. What is the hundreds digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*10\/(-15))\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39519 or -39520?\nAnswer: -39519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -14. Let r be 1 + 0\/1 + 3. Suppose -u + r*u + k*j = 27, -20 = -2*u - 4*j. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-6)*(3 - 0). Suppose 2*k + l = 10. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08882 plus 9.439?\nAnswer: 9.52782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 11:58 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 6:57 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((0 - -11) + -6 - -7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = t + t - 10, -2*t + 8 = 0. What is the common denominator of -68\/9 and 3*(-32)\/p - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(-28 + -13) + (-68)\/(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22581, 0, 1, 8 in descending order.\nAnswer: 22581, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*a**3*o**2 - 5*a**3*o - 2601*a**2*o**3 + 81*a*o**3 - a + 5087*o**2 wrt a?\nAnswer: 66*a*o**2 - 30*a*o - 5202*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7038439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 - 4.21. Suppose -3*v - 19 = -5*x, -11 = 2*v + v - x. Let w be v\/6 - (-1)\/(-6). What is the nearest to w in -2\/5, -1\/4, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 - 25*l + 13. Let d(y) = 3*y**2 - 8*y + 4. Let s(t) = 2*a(t) - 7*d(t). Let k be -1 - 0 - (-2 + 3). Let n = k + 5. Calculate s(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.93173 rounded to two dps?\nAnswer: 22.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 1. Let y(z) = -10*z**2 - 8*z + 2. Give -8*f(j) + y(j).\nAnswer: -2*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 1. Let k = 0 - 0. Sort 1, k, m.\nAnswer: m, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 6 (c) -0.13 (d) -4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from zzdksjzjjs.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(143)\/(sqrt(99)*-6) - (-1 + (0 + sqrt(117) - sqrt(13) - sqrt(13)))**2*-5.\nAnswer: -181*sqrt(13)\/18 + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.3. What is the second smallest value in h, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.2 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6894289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -364.49827383 - -0.13?\nAnswer: -364.36827383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 + 7*w - 7. Let v be b(5). Suppose -v*g - i = 3*i - 8, -4*g = -5*i - 21. What is the units digit of 94\/8 + 1\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3728 - 11185\/3. Which is the nearest to -4? (a) -4 (b) 1 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 7\/4 in descending order.\nAnswer: 7\/4, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057008 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 13719?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 450 (base 14) to base 3.\nAnswer: 1011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010731 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*h - 130 = -129*h. Suppose -p + 3*t + 0*t - 4851 = 0, 0 = -5*p - t - 24223. Find the common denominator of (-2)\/h + p\/600 and -89\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156309149.\nAnswer: 6173, 349313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*31\/1116*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 13. Solve n - 4*n + w = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 32759?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 4. Calculate s(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005947 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 = -3*k + 2*c + 497, 9*k - 3*c - 99 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20 = 0, 4*o - 5*a - 36 = -2*a. What is the third derivative of 4*k**4 + 3*k**o + 10*k**4 - 14*k**4 + 39*k**2 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(4 + 0 - 3)*(365826 - 402*v - 365826) as r*v + o and give r.\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215.62 millennia in centuries?\nAnswer: 72156.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 399\/14 + (-1)\/(-2). Suppose -j*b + 25*b = -16. Solve 16 = 5*k + 2*z + 1, -b*k = -z + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -15. Let i = f - 16. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 4726*n - 4674*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:49 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65195 and -0.34.\nAnswer: -22166.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 81\/(-24) - (-6)\/3. Put 2, o, -4 in ascending order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*f**2 - 4*f + 2*f**2 + 5*f - 2*f**3 + 3*f**2 + f**4 to g*f**3 + d*f**4 + v*f**2 + t + k*f and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 11*o**2 - 23*o - 7. Let x be s(8). Suppose -h - 2*t - 3 = 0, -2*h = 4*t - 3*t. Calculate the greatest common factor of x and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 + 1942*h**2 + 57*h - 6. Let a(n) = -n**3 - n**2 - 9*n + 1. Give -6*a(y) - t(y).\nAnswer: -y**3 - 1936*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Let m(r) = 16*r**2 + 3*r + 6. Let g(u) = -15*u**2 - 2*u - 6. Let z(t) = f*m(t) + 3*g(t). Find the first derivative of z(i) wrt i.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5, k + 134 = -0*u - 5*u. Suppose j + 0*j = -2, 0 = c + 4*j + 10. Let f = c - u. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62 and 10408.\nAnswer: 645296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*j**3 + 7*j**2 + 21?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.903154 micrometers to kilometers.\nAnswer: 0.000000009903154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 42*f**2 + 33*f**2 + 37*f**2.\nAnswer: 104*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19105859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47722 (base 13) in base 8?\nAnswer: 377422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 721327538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187851 - 9357. Suppose 5*t + s - 846507 = o, 0 = 2*t - 5*s - 409995. Round t to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*10\/220?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n - 1078 = -133*n for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -17, -0.214, -37 in increasing order.\nAnswer: -37, -17, -0.214, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002002810035 to 7 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3223\/(-1172))\/(2\/8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r + 90. What is p(-5)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(3\/7))\/(p*p**(-7\/4)))\/((p\/((p*p**(-6)*p)\/p))\/(p**(-1\/15)*p)))**(-6\/5) assuming p is positive.\nAnswer: p**(1153\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(96)\/(sqrt(8) - (sqrt(8) + sqrt(72)) - sqrt(8))) - ((sqrt(66)*1 + sqrt(66))\/sqrt(6) + -2).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z + 48. Let o be k(15). Is o\/(-6) + (-26)\/(-8)*646 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (16 - 2) - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23244414 + 2?\nAnswer: 23244416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, -36.36, -0.1, -1 in decreasing order.\nAnswer: -0.1, -1, -36.36, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -17, 3 in increasing order.\nAnswer: -17, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358831 is divided by 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/16, -3 in descending order.\nAnswer: 0.4, -3\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-2)\/(-20)*5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + -100111010?\nAnswer: -100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 5375 = -5*t. Is -2*(t\/10 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 22 + 0*b**3 + 23*b**2 - 33*b**2 + 7*b + 5*b. Let o be g(9). Suppose 20 = o*w - 5. Solve 7 = w*i + 3*h, 0 = -5*i - 2*h + 3*h - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by (-3 - 84\/(-3)) + -1*3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5702.8906 to the nearest integer.\nAnswer: 5703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 11, 37, 83, 155, 259?\n\"Answer: g**3 + g**2 + 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414340834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953453157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009538 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 109 + 109.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8 - (-3 + 2)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 6*f + 98 = 0. Which is smaller: f or 6\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-6)\/(-18)*6). Suppose n = -f + 18*f - 153. Let z be 56\/6 + (-2)\/6. Is f less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1)\/((-7)\/7). Solve 0 = -i*v - 5*o + 35, v + 0*o = -3*o + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let l = 25.4 - 22. Let a = y - l. What is the closest to 0.1 in a, -3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 6385?\nAnswer: 6382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 17*w**7\/105 - 8*w**3\/3 - 8*w**2 + 29. Let k(y) be the second derivative of l(y). Find the first derivative of k(i) wrt i.\nAnswer: 136*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2. Let t(v) = v + v - 1 + 3*v - 1 - 2*v. Give k(t(z)).\nAnswer: 9*z**2 - 12*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 - 2 - 1 + 43*q.\nAnswer: 43*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 748*b + 55*b**2 - 308*b**2 - 453*b wrt b.\nAnswer: -506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8182761 days in microseconds?\nAnswer: 70699055040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -533, 22, -3 in ascending order.\nAnswer: -533, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*v - 10 = -4*s, -5*v + 10 = 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 251*n**2 + 5*n + 6. Let a be (-10)\/6 + (-10)\/(-6) + -2. Let g be y(a). What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t\/(((t\/t**(-8\/5))\/t)\/t)*t*t*t*(t\/(t\/(t*t**(1\/2))))**(26\/3))**(-1\/11) assuming t is positive.\nAnswer: t**(-57\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375414?\nAnswer: 2, 3, 13, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - (-20 + 8)) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190336 in -4, -1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 330 - 163 - 167.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2210 + -1?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 4. Let u be m(-13). Let p be (-6)\/24 - u\/(-4). Solve -l + 3*l = 0, p*b + 4 = -5*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 11655876?\nAnswer: 46623504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 522 - 437. Let w = i + -86. Which is the nearest to 0.1? (a) w (b) -1\/2 (c) -0.2 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 + 261*f**2 - 42*f - 521. Calculate x(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 + 26*u**2 - 843*u**3.\nAnswer: -843*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/5 - 3\/(-5). Let p = q - -38. What is the remainder when p is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/3))\/s)**(18\/7)\/(s*s**3)**(-4\/11) assuming s is positive.\nAnswer: s**(46\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - g**2 + 0*g**2 + (-g**2 - g**2 - 3*g**2)*(-6 - 1 + 8) + 5*g - 5*g - 4*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/8915 + 62569\/731030. Let i = -17\/41 - f. Suppose 3*k + 3*y - 12 = 3, 5*k - 5*y = -15. Sort 3, k, 1\/2, i.\nAnswer: i, 1\/2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 279, 354, 429, 504?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x + 158. Let d be q(-17). Suppose -9*u + 2368 = d*k - 8*u, 4*k - 1888 = -4*u. What are the prime factors of k?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 0*j + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-6)*(-16)\/10. Let l be (-2)\/x + 33\/(-6). Let v = l + 12. Calculate the least common multiple of 10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -884f3 (base 16) to base 11.\nAnswer: -351527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429190.\nAnswer: 2, 3, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1. Let x(p) = -9*p - 3. Let v(i) = 4*k(i) - x(i). Is v(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455.748 decades in centuries?\nAnswer: 145.5748","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107555 - -1333.\nAnswer: 108888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 324154 by 1.\nAnswer: 324154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 + 221 + -124 + (-1 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103300200 (base 4) to base 9\nAnswer: 133010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9106087.7642411 take away 2?\nAnswer: -9106089.7642411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82463444*j*k*q + 10*j*q + 22*j - 20238 wrt k.\nAnswer: 82463444*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 62 = 13. Suppose -p*a + 2*a - 5*n = -2045, 2 = n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = b + 16, 5*k - 37 = -88*b + 85*b. Solve -30 = -b*g - 62 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 less than 21365?\nAnswer: 22525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 40443436?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 17 = -4*n, -3*i - 3 = -3*n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -28.095.\nAnswer: -140.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2271*q + 4559*q - 2306*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = 2*o, -4*o = -4*n + 36. Suppose 2*v - k = n + 8, 4*k = 3*v - 31. Suppose -7*z + 228 = -v*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71293940, -71293931, -71293916, -71293895, -71293868, -71293835, -71293796?\nAnswer: -71293751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:55 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019785.\nAnswer: 3, 5, 23, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 8. Let f be w(-4). Suppose -11*x - 300 = -f*x. Let c be 5\/(30\/8)*15. What is the highest common divisor of x and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17857637461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 5 - -1238*55. Suppose -200*g + 204*g - u = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-864))\/((-2)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083510 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) + (4 - (-26)\/(-6)). Suppose w - 249 = 4*n, -2*w + 4*n + 181 + 305 = c. Calculate the remainder when w is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)*2\/(-4). Suppose q*c - 2*c = -5*d - 17, 2*d + 74 = 4*c. Suppose 5*x = -5*m + 55, -c = -2*x + x + 4*m. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 18, 50, 120, 240, 422, 678, 1020?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 1385 - 2781 - 46*l**3 + 1395 to the form d*l**2 + q*l**3 + g + p*l and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0740603552 to four decimal places.\nAnswer: 0.0741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 11*d**2 - 5*d + 5. Let r(p) = p - 1. Let m(f) = -2*o(f) - 6*r(f). Suppose 28 + 28 = 4*z. Let i be m(z). What is i rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + 25. Let b = -168 - -173. Suppose -4*h + 4*x - 13 = -b*h, -65 = -5*h + 5*x. What is the remainder when n is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 - 54*q + 305. What is the units digit of d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*(9 - 1) + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + -13)*12*(-6)\/45. Suppose 4*u = -w, -3*m - 3*u = -4*u - 9491. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -259, -590, -1053, -1648?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/8 + 78*l**2 + 28341*l\/8.\nAnswer: 3*l*(l + 67)*(l + 141)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -173, -286, -397, -506?\n\"Answer: g**2 - 116*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 208 (base 13) to base 10\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -10. Let o = 10 - r. Sort -0.4, o, -5 in decreasing order.\nAnswer: -0.4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i + 37. Determine t(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016523941 to 5 decimal places.\nAnswer: 0.01652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1706 - -1706. Solve 2*u = 10, -7*w + 4*w - 5*u + 31 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + k**3 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-4 + -8 + 3). Let k(l) be the second derivative of l**3\/6 - l**2\/2 + 2*l. What is the units digit of k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163 a factor of 65880654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 4*l + 4. Determine i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - i + 25, 0 = 2*r + 3*i - 23. Let o be (-4 + 6)*10\/r. Suppose 0 = -o*h, -5*g = -h - h - 335. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 12}. What is prob of picking 3 m?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 617 + -1171. Let m = -557.01 - z. Let r = -0.01 - m. Which is the nearest to 2\/7? (a) -0.5 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17680)\/(-102))\/65)\/(144\/(-5076))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188472 is divided by 94236.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 7aaa4?\nAnswer: -7aaa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*k**2*q**2 - 2*k**2 - 3*k*q**2 - 2*q**2 - 43 wrt k.\nAnswer: -68*k*q**2 - 4*k - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2396 at most as big as -2394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1735*o**3 + 2*o - 74822 wrt o?\nAnswer: -5205*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-713)\/7843 + (-210)\/(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2 + 3*w + w**2 - 2*w + 2*w + 0. Let m(k) = -2*k**2 - 3*k + 2. Let z(h) = 3*j(h) + 2*m(h). Suppose -2*i = -6 - 2. Determine z(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 1. Let q(z) = 2*z**2 + 7*z - 2. Let g be q(-5). Let k be g\/15 - (-6)\/(-30). Is d >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 226*r + 387. What is the hundreds digit of c(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 224 = b, -5*l - 2*b = 2*b - 236. Suppose 2*j = 4*h + 6*j - l, 3*h + j = 25. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1484783253?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.448 or 0.04?\nAnswer: -5.448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 3548*s**3 + 2*s**2 - 9*s**2 - 3632*s**3.\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 6*x - 11*x in the form g + r*x and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28207 - -17?\nAnswer: 28224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -58*u + 11 - u**3 + 53*u + 6*u**2 + 2*u**3. Let g be i(-8). Let r = 137 + g. Round r to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 7:07 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let 2*a - a**2 + 2*a**c + 0*a + a + 2 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**5 - d**3 + d**2 + d. Let w(y) = -23*y**5 + 5*y**3 - 5*y**2. Let h(f) = w(f) + 5*z(f). Find the second derivative of h(g) wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020375.761 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006153 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.553ug?\nAnswer: 1553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 - 95*y**4 + 530*y**3 - 350*y**2 - 2695*y - 1715 = 0. Calculate y.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-455*p**3 - 1466*p**3 - 111*p**3)*(-4*p**2 + 4*p**2 - 2*p**2)*(0 + 0 - 2).\nAnswer: -8128*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -183, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 10 - (1 - -5). Which is the closest to -4\/5? (a) 4\/3 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 11*n**4 - 13*n**4 + 3*n**2 - 3*n**2 + 2*n**3 + 2 to the form v*n**4 + h*n**2 + p*n**3 + d + m*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(20\/3))**(-4\/37)\/(k**(2\/11)*k**4*k**4\/k*k**(-1\/2)) assuming k is positive.\nAnswer: k**(-18077\/2442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*h - 86 - 4 - 66 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 16*w**2 + 344*w - 536. Give v(21).\nAnswer: 4483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 + 398. Suppose -10*t + 17 + 43 = b. Solve -32 = -t*r - 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334705 - -328.\nAnswer: -334377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7649557.\nAnswer: 7649557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4578944 divided by 2289472.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 2\/22379 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 20*d. Let c(j) be the second derivative of j**4\/12 + 99*j + 1. Determine z(c(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9102740.\nAnswer: 2, 5, 37, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(18\/(-198)) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let i be u(-3). Let j(o) be the second derivative of -o**3\/2 - 2*o**2 + 8*o. Give j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + z + 14 = -z, z + 4 = 0. Let u(p) = p**2 - 9*p + 23. Let h be u(6). Suppose 0 = 108*a - 103*a + h. Sort a, 0, b in ascending order.\nAnswer: b, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286090250.\nAnswer: 2, 5, 137, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10068 or -10066?\nAnswer: -10066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*c - 210*c - 2 - 98*c - 283*c to the form h*c + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 4417 = -i. Suppose -5*h + i = -1234. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/4 - 3447*u**2\/4 + 1719*u\/2 + 1722 = 0.\nAnswer: -1, 2, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 1. Let m be -1 + 15\/5 + 0. Let j be l(m). Let x be ((-12)\/(-42))\/(3\/j). What is the third biggest value in 0.4, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d - 1. Let l(j) = -2*j - 1. Let m(f) = 4*l(f) + q(f). Let i(u) = 119*u - 49. What is -5*i(s) + 49*m(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 + 9*w - 3. Determine u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228855427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -6*h + 14, 2*h - 3 = -y - 0. Which is the closest to 1? (a) 5 (b) h (c) 10.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d - 125 - 101 - 149 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2517 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 259 (b) 2 (c) -0.4 (d) 174 (e) -0.3 (f) -4 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 263135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1007 + 145*v + 1009 + 437*v)*(2*v**4 + 0*v**3 + 0*v**3).\nAnswer: 1164*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -2, 5, 0.5, 262, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - a + 15, -3*y - 4*a + 8*a = -5. Let w = 117\/41 + 95\/369. Let l = -131\/45 + w. What is the closest to l in -4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365896801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0975*-2.8.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3149, 2903, 2657, 2411, 2165, 1919?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p**2 - 11*p**2 - 1 + p**3 + 15*p + 9 - 5*p. Let h be d(10). Find the second derivative of h*f**4 - 14*f**2 - 7*f + f**4 + 14*f**2 wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0 (c) 39 (d) -0.1 (e) 304.2 (f) -0.08 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 + -131. Let j(p) = -p**3 - 6*p**2 + 2*p + 3. Let q be j(-6). Let s = i - q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 15125927690231?\nAnswer: 15125927690228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, 0.797, 3, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -198.2 - -184. Let j = -14.6 - z. Which is the closest to 3\/4? (a) 0 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)\/m)\/m)**(-25) assuming m is positive.\nAnswer: m**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 103370 = -3*p. Let s = -257121\/5 + p. Let w = 260 - s. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnhnkpkwwwpnnknkn. What is prob of sequence np?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 20 - 7 = 0. Let x = 24 + -20. Calculate the smallest common multiple of x and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374858, -1499146, -3372954, -5996276, -9369106, -13491438, -18363266, -23984584?\nAnswer: -30355386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 59*h + 1. Let f be z(-2). Suppose 0 = -16*v + 3*v - 2249. Let a = f - v. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + 0 + sqrt(17))**2)*3 - -4*5*-6*(sqrt(17) + -4 + sqrt(17)).\nAnswer: -264*sqrt(17) + 573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:25 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817 - 832 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*f - 79*f - 30 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11023 (base 4) to base 14\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - (-49911)\/(-508))*-2?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (126\/1428)\/(6\/104). Sort o, 2\/5, -5.\nAnswer: -5, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13892774)\/(-1020))\/217 + -63)*((-34)\/(-42) + -1)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfjxjiijxhfxgxj. Give prob of sequence fgji.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -13.56?\nAnswer: 54.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -6019 = -6017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-8)\/(-10)*5)\/((-18)\/(-12)))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 328589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1426*o*y**2 + 85683*o*y - 10*o + 1017*y**2 + 2 wrt y.\nAnswer: -2852*o + 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 1 = d, -4*b + d - 8 + 11 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -4 - (-5 + 6) - -328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 27. Let o be d(18). Let m = -36 + o. Let v(i) = 4*i**2 - 4*i**2 - m*i**2. Let k(x) = -3*x**2. Calculate v(k(z)).\nAnswer: -81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.238\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4.21, 4 in increasing order.\nAnswer: -4.21, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*z + 160 = 0, -4*r - 4*z + 128 = -r. Calculate the highest common factor of r and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:02 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 30*c + 147. Determine p(-30).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133570259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o + 2. Let f = -81 - -81. Suppose f = -0*a + 8*a - 48. Suppose -a*l = -0*l + 9*l. Give m(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.226 (c) 13 (d) 4 (e) -2\/9 (f) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 28. Let n(l) = 2. Let b(t) = -2*d(t) - 28*n(t). Let z(r) be the first derivative of -3*r**2\/2 - 3. Calculate z(b(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 7*n**2 + 33*n - 8. Let a be g(-10). Let i = a + 1097. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:08 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-91)\/70)*-13\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*1 - sqrt(375) - sqrt(375))\/((sqrt(60)*-2)\/sqrt(12)) - -3*sqrt(108)\/sqrt(4)*-5.\nAnswer: -85*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18114 and 3.\nAnswer: 18114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77)*6 - sqrt(77) - sqrt(77))*-4*-3)\/(((sqrt(121) - -2*sqrt(121) - sqrt(121))*-2)\/(sqrt(1584) + sqrt(1584)*-1 + sqrt(1584))).\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 - 7*c**2\/2 + 13*c. Differentiate l(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itkitkkikiitikitioii. What is prob of picking 2 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrgppgrpgrppgipx. What is prob of picking 1 p and 2 g?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.671 litres to millilitres.\nAnswer: 710671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24537 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (13 - 24) + -19 + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -1\/10*z**2 - 2\/15*z**3 - 1\/20*z**4 + 0*z - 52. Solve u(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i**2 + 4*i**2)*(3*i**3 - i**3 - i**3 + (-i - 2*i + 2*i)*(-4*i + 4*i - i**2) + 6*i**3 + 7*i**3 - 5*i**3).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 552*t + 5. Let k be f(4). Let x = -1314 + k. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + 1 - sqrt(288) - sqrt(288)) + sqrt(288))*2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 661 - 2091 = -2*k, -m = -4*k - 740. Suppose -9*r + m = -6*r + 2*f, -4*f = -r + 226. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 795*j**2 - 795*j**2 - 44*j**3.\nAnswer: -44*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3*z - 23 = 0, -58*n - 2*n = -58*n + 4*z + 48 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12*15\/(-360)*60*-19*(-4)\/(-40)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c**2. Suppose p = 3*p - 78. Suppose 6*g - p = g + w, 5*g = 2*w + 43. Let l(k) = 11*k + g*k - 20*k. Determine l(q(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-8))\/(-7)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1674.302 times -4\nAnswer: -6697.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**3 - 26*g**3 - 50*g**3 - 2*g**2.\nAnswer: -56*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16244)\/(-20))\/((-4)\/(-20)). What is u rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8002.\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26400 - -633467\/24. What is the common denominator of q and (-201)\/(-6)*(2 + 160\/(-75))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(29 + -2)*-1. Solve k = -5*x - 4*a, -2*x + 6*a - a = -9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1700 + 780?\nAnswer: 2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-7) + -1 + -7. Solve -4*r = z*g - 3*r - 3, 3*g + 5*r - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**3\/6 - 3*x**2 + x. Let p(l) = -5*l**2 + 20*l + 19. Let f be p(5). Let m(s) = -s + 5. Give f*u(c) - 7*m(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 11*w**2 - 11*w - 10. Let m be j(-10). Let b be 5*(-1 - m) + -2. Is -6 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o, 3*t - 20 = -2*t - 5*o. Which is bigger: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4437, -727, 2971, 6651, 10307, 13933, 17523, 21071?\nAnswer: 24571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4 + (0 - 3 + 1)*(-7 - 1 + 1))*(m - 2*m + 0*m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -c4c (base 15) to base 11\nAnswer: -20a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-21)\/((m*m**(2\/37)*m)\/(m*m*m*m*m**(4\/3))))**(-2\/23) assuming m is positive.\nAnswer: m**(-10052\/2553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082506 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -141\/2, 2, -1, -6\/11, 0, -36, -1\/2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.128 plus 2282731?\nAnswer: 2282733.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-171)\/36)\/(1\/4). Suppose 0 = -5*s + 87 - 12. Let o = g + s. Let v(f) = f**3 + 3*f**2 - 4*f - 4. Calculate v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(8\/9)))\/m**(-9) assuming m is positive.\nAnswer: m**(89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324600 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-28)*840\/(-120)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*d - 141 - 2 = 294*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4)*6)\/(1\/(-6)). Suppose -y - s = -2*y. Suppose -x + 4 = -68. Calculate the greatest common divisor of y and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57752 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2275, -9090, -20503, -36520, -57147, -82390?\n\"Answer: -o**3 - 2293*o**2 + 71*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**8\/50400 - l**5\/60 - l**2. Let f(r) be the third derivative of z(r). Factor f(j).\nAnswer: -2*j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, -4 in ascending order.\nAnswer: -16, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 9. Let p be u(-7). Let x be (84\/70)\/(3*p\/(-20)). Which is the third smallest value? (a) -3 (b) 1\/6 (c) x (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 93. Let n = u - -141. Suppose -5*c + n = 3*t, 5*t - 4*c = -0*c + 118. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -355*u**3 - 2*u**2 - 10*u + 1. What are the prime factors of f(-2)?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(10\/15) + 10 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 36 = -20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 13*k**2 + 8*k + 81. Let v be c(14). Let w(l) = -l**3 - 5*l**2 - 8*l - 3. Determine w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 89*f + 1516. What is w(-66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 6. Let i be t(3). Let u(q) = -7*q + 1. Let w(x) = 7*x - 2. Let o(h) = i*w(h) + 2*u(h). What is the tens digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + (sqrt(153) - sqrt(153)*-6) + 0)**2 + 3 + sqrt(136)\/((sqrt(240)\/sqrt(10))\/sqrt(3))).\nAnswer: -332*sqrt(17) + 30016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:00 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(0*a - 4*a + 6*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/23)*l*(l**(-1\/52)\/l)\/l assuming l is positive.\nAnswer: l**(-1115\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 0) + 106 + -178.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143819 is divided by 470?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27c42 (base 16) in base 14?\nAnswer: -43506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + x**3 - 29*x**2 + 2 - 3*x + 33*x**2. What are the prime factors of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167400 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 - 7 = 0. What is the smallest common multiple of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2857, 5688, 8521, 11356, 14193, 17032?\n\"Answer: q**2 + 2828*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 - 7*r + 3. Let d be k(6). Let o be d - 34\/4*2. Let z = 2 - o. What is the remainder when 61 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1)\/(-3))*54\/(-66)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211\/35 less than or equal to 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((1 - -26) + -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12853\/2 = 6428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 22*t + 131 - t**2 - 2*t**2 + 8*t - 121. Let o be k(10). Suppose 9*b = 4*b + o. Solve 5*q + 2*c - 9 = 0, -b*q + 3*c + 21 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01607 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 17, i: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 680788 = -681966 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.500058 + -26.5. Round x to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*v + 0*v - 20 = 0, -2*x - 2*v = 10. Solve 3 = -j - x*j - 2*w, -5*j - w + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.948 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.299, -5, -31, 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**3 + 0 + 0)*(1 - 4 + 0) + (-d**3 + 2*d**3 + d**3)*(375 - 460 - 3710) as y*d**2 + k*d + s + v*d**3 and give v.\nAnswer: -7581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 41. Let y be 2\/12 + 3 + r. Is y < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**4\/4 - 5*z**3\/6 + z**2. Let g(r) = 2*r - 2. Let d(y) = -8*g(y) + 3*h(y). Find the first derivative of d(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4) + (-416)\/(-312).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 - 0)*57\/6 and 3\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96641.84 micrometers in meters?\nAnswer: 0.09664184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 6. Suppose 0 = 4*d - u - 36, 8*d = 4*d - u + 28. List the prime factors of b(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20013044 to the power of 1\/2, to the nearest integer?\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, p: 2, x: 2, z: 3}. What is prob of sequence ccp?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -512 + 178 + 1323 - d + 1274 + 0*d - d + 2*d + (0 + 1 - 3)*(2*d + 1 - 1).\nAnswer: -4*d + 2263","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + 6 - 3 - 2 + (1 + 3 - 2)*(-4 - 1 + 3))*(-1636*q**2 + 2035*q**3 + 1636*q**2).\nAnswer: -8140*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 55*x - 66. Let d(m) = -m + 1. Let k(r) = 66*d(r) + u(r). Let y be k(1). Is (-388)\/(-44) - 2\/y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v + 10*v - 14*v.\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0451 and -0.2.\nAnswer: -0.1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 373*i**8\/168 + 133*i**5\/15 - 859*i**2. Find the third derivative of x(l) wrt l.\nAnswer: 44760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -281 - -491. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m - 5. Let v(d) = -4*d. What is v(l(n))?\nAnswer: -44*n + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7638.987709 to the nearest 100.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -x, 3*x + 6*m = 5*m + 4. Suppose 2*t - 5 - x = 0. Solve t - 15 = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*h - 861*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6, d - 87 = -2*k + 542. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose m = -0*m + f + 5, -2*f - 14 = -t*m. Solve -3*u = u - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g - 6. Suppose -3*i - 3*f - 3 = 0, -8 = i - 3*i - 4*f. Let a be n(i). Suppose -5*b + 29 + 31 = 0. Calculate the highest common divisor of a and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 10*j - 8. Give t(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**3\/6 + x**2\/2 + 9*x. Let g(b) be the first derivative of -b**2 + 2*b + 3. Determine -2*g(a) + 5*s(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1150839 by 127871.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 5548 + 3*w + 12202 - 6*w**3 - 5987 as i*w + y*w**3 + x + b*w**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -19679459?\nAnswer: -19679459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(10\/3 + -4) - -2. Suppose 11*t - 21*t + 1430 = w. Suppose 142*y - t*y = -209. Calculate the highest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 12) to base 4\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102420*k**2 - 102420*k**2 + 11*k**3.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-2*(-8)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27106679*z - 81320064*z + 27106699*z + 27106679*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -246, -554, -984, -1536?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 884*k**2 + 895*k - 3984. Give v(443).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 232.44 to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -0.2 (b) 0.2 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 288985.89ns?\nAnswer: 0.0000048164315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130118 - 509035 = 14*f - 51*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (5 + -3 + (sqrt(7) - 1*(-2 + sqrt(7))) - ((0 + sqrt(252) + -5 - sqrt(252)) + -5)**2)).\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 4. What is b(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -18\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -2*c**7\/21 - 2*c**6\/15 + c**5\/5 + c**4\/3 + 14*c + 2. Factor v(u).\nAnswer: -4*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.2 - 36. What is the closest to 1 in -4, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 5. Let u = 2 + -2. Suppose -4*w - 7 = -z - 3, 3*w + 4*z - 16 = u. Determine a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 11008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6404247919 to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(0 + 0 + -1). Let h = 37 + -41. Let u be 2 + h - (-2 + r). Let s(f) = 2*f**2 + 3*f + 4. Give s(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**4 + w**3 + w**2 + 2 + 0*w**3 + w**3 + w**4 to the form p*w + z*w**3 + x*w**4 + t + n*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20857 in 1\/3, -10, -0.01, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -10, 1\/4, 4\/5 in ascending order.\nAnswer: -10, 1\/4, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325826 is divided by 209.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 59. Solve 8 = -t*u + 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*95.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24437\/6 - 4055. Find the common denominator of 25\/1402 and y.\nAnswer: 4206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 7*g - 6. Let f be r(6). Let d = 30 - f. Suppose d*s - 14 - 4 = 0. Does s = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbb. What is prob of picking 1 x and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 17. Let x be f(-30). Are x and -64 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1381.121 centuries to millennia.\nAnswer: 138.1121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 9*s**2 + 8*s + 4. Suppose 0 = -3*a - 3*j - 9, 10*a = 6*a - j - 27. Let u be p(a). Solve -u*v + 17 = -2*l - 1, 3*l + 15 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - 130525?\nAnswer: -131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12126724.\nAnswer: 2, 3031681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 - -1 - -2. Let z(t) = -t**3 + 4*t**2 - 2*t + 9. Let y be z(4). Is y at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -913*s**2 - 2*s - 2. Let g(z) = -417240*z**2 - 915*z - 915. Determine -2*g(l) + 915*x(l).\nAnswer: -915*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 3 - 2 - 17*i**2 + 18*i**2 + 0*i. Suppose -5*t - c = -3*c + 26, 2*c = -4. Give n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (297\/(-27))\/((-21)\/9 - -2). Let p = -6 - -9. What is the highest common divisor of p and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4\/9, -0.5, -5, 0, -469532, 2\/3, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w)*(0*w**3 - w**3 + 2*w**3) + (-31 - 39 + 100)*(-2*w**4 - 5*w + 5*w).\nAnswer: -58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7692 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -363*r**2 - 5*r - 43. Let b(q) = 909*q**2 + 12*q + 110. Determine 9*b(s) + 23*m(s).\nAnswer: -168*s**2 - 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-15)\/(-360)*24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3 - 0. Let f be (10 - 1)*b\/(-3). Which is smaller: 6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 35 + 135. Suppose g*b = 5*b + 695. What are the prime factors of b?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009592537.\nAnswer: 1009592537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18293 = 755*z + 29272 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0.17, -0.4, 0.3, 0.1, -0.9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*x + 39*x + 33*x + 33)*(-4 + 1 + 1) as c*x + n and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50*c**4 - 50 + 17 + 65*c**4 wrt c?\nAnswer: 460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 272 + 344 = 0. What is the highest common factor of 44 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 16. Suppose 24*u + 720 = 30*u. Suppose 0 = 82*r - 81*r - u. Suppose r = -26*v + 11*v. What is b(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + 1.77. What is the closest to -2\/33 in 3\/4, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 3. What is the smallest common multiple of w and 195\/(-2 - -5) - (-364 - -374)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-9 - (-10 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53094.16 to the nearest one hundred.\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 2*d**4 - 3*d**4 + (0*d + 0*d - 2*d**2)*(-1 + 8 - 2)*((6*d - 3*d - d)*(-4*d + 4*d + 2*d) - d**2 + d**2 - d**2).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1064.462775 + 1375.94593. Let d = 77.515155 + g. Let c = d - 389. Round c to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 2 q when four letters picked without replacement from {e: 4, q: 3, v: 2, t: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3 - 5*k + 6*k - 3 - 5*k**3. Let w(l) = -l**3 + l - 1. Let q(h) = -2*h**3 + 3*h - 2. Let a(v) = q(v) - 3*w(v). What is 6*a(b) + m(b)?\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t - 242. Let r(m) = 53*m - 303. What is r(y(q))?\nAnswer: -1007*q - 13129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 2, -782, -1, 5 in decreasing order.\nAnswer: 5, 2, -1, -72, -782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 + 7095*d**3\/4 + 9665*d**2\/2 - 10605*d\/4 - 3960 = 0. Calculate d.\nAnswer: -352, -3, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1 + 0 + 0. Let s(f) be the first derivative of -f**3\/6 - 7*f**2\/2 - 14*f - 13. Let d(o) be the first derivative of s(o). Give 5*b(q) - d(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -46. Let r(h) = h**2 - 3*h - 7. Calculate r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 35 + 85 - (15 + -2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 12444213103?\nAnswer: -12444213111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 3, o: 3, m: 1, d: 3, r: 2}. What is prob of sequence mo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(7) + sqrt(7) + (-3*sqrt(21)\/sqrt(3) + sqrt(7) + sqrt(7))**2.\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*l + 18 = -4*f, 0 = 4*l + 109 - 69. Factor -4\/3*u**5 + 0 + 4\/3*u**4 - 16*u**f + 0*u + 32\/3*u**3.\nAnswer: -4*u**2*(u - 2)**2*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 6)*(-2*x + 0*x + 3*x)*(-17 - 15 + 1).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*n - 227*n + 5 = 2*f, -2*n + 10 = 5*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(70))\/(sqrt(1620)\/sqrt(2)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:17 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*x**2 - 1649*g**2*x - 2*g*x + x**2 + 13021*x + 1 with respect to g.\nAnswer: 2*g*x**2 - 3298*g*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 3*w**2 + 0*w**2)*((4 - 2 - 4)*(-4 + 3 + 3) + 0 - 2 + 1)*(-3*w**2 - w**2 + 7*w**2).\nAnswer: -45*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 - 2457.\nAnswer: -2519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -ccc4?\nAnswer: 10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -71. Let s be v\/(-26)*(-8)\/5. Let t be (1 + 12\/(-15))\/(s\/5). Which is the closest to t? (a) -5 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**3 + 3*n**2 - 7*n + 7. Let p(b) = -b + 1. Let y be p(-6). Let o(i) = -4*i + i**2 - i + 2 - 3*i**3 + 3*i. Calculate y*o(v) - 2*u(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 725 = 4*b, o - 5*b - 169 = -b. What is the remainder when o is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 92811372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 6*g + 23*g - 2454 - 62*g + 2454.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2433\/5 - 486. Let j = 1 + 3. Let m = -3 + j. What is the nearest to 3 in m, 0.1, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25880503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from dddinddididddddddddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3759 is divided by 1686.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**8\/294 + h**7\/735 + h**6\/105 - h**5\/210 + 20*h**2. Find n such that o(n) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 161, 348, 609, 944, 1353?\n\"Answer: 37*s**2 + 2*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -11. Let h = k + 52. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -16 - (21 - 50)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10384?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 16 - (4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (190\/(-30) - -5)*-3. Let i(l) be the third derivative of -1\/24*l**x + 0*l + 0*l**3 - 3*l**2 + 0. Let j(t) = -4*t. What is j(i(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -428.2 + -73.8. Let y = -502 - r. Let q be 2\/(-3)*(-1 + -1). Is y equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**4 - 94*a**2 + 1455*a?\nAnswer: 60*a**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 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: Rearrange 10*s**2 - 263 + 0*s - 255*s**2 + 263 + s to the form y + g*s**2 + i*s and give g.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.43849 rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose 51 = 17*s - 17. Suppose -4*c - c - 58 = -s*l, 3*c - 42 = -4*l. Solve 3*q = -g - l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 3. Let d be u(-3). Let n(g) = g**2 + 1. Let x be n(d). What is the greatest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -1285, -3294, -6107, -9724, -14145, -19370?\nAnswer: -25399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * -0.0980907.\nAnswer: -5.5911699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186291947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5745 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27f4b0d + 7?\nAnswer: 27f4b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 326186890*a**2 + 415454982?\nAnswer: 652373780*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26892 - 3697*a**2 - 26941 + 53833.\nAnswer: -3697*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13164, 47081, 103610, 182751, 284504?\n\"Answer: 11306*r**2 - r + 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 5*o - 250, 5*o + 2*v + 2*v - 254 = 0. Suppose 2*d + o = 5*d. Suppose c - d = -2*c. Solve 3*g - 6 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) + (-116)\/(-6). Suppose 4*p = 2*m + 26, p - m - 2*m = u. Differentiate 4 - 1 - p + 2*s**3 with respect to s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p - 3. Let u be 56\/(-8) - 8 - 6. Let y(z) = 12*z - 10. Let b(w) = u*o(w) + 6*y(w). What is b(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2. Let y = 38 + -36. Let j be (-42)\/(-28) - y\/(-4). Let o(l) = -235*l + 235*l - 3*l**2 + 8*l**j. Give o(i(b)).\nAnswer: 45*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/37800 and -145\/7884.\nAnswer: 2759400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1933\/161 + 148\/23. What is the common denominator of 50\/7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2186 or 2192?\nAnswer: 2192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 3. Let a be (-3)\/(-6)*(-7 - -3). What is the remainder when 28 is divided by t(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561492 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 117 = 2*u, 5*t - 3*u = -0*u - 195. Let x be t - -30 - 5\/(-1). Let s(j) = 10*j. Determine s(x).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 16*t**2 + 18*t - 17. Let u be v(17). Suppose a + a = u. Which is smaller: a or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let h be w(6). Let g be 15\/10 - h\/4. Solve -g*l + 1 = -14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a - a - 3*a)*(1 - 1 - a) - 2*a**2 - 3*a**2 + 3*a**2 - 11*a**2 + 4*a**2 - 52*a**2 to the form z + n*a**2 + c*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.46, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4*t - 583*i**4 - 17*i**2 - t - 18 wrt i.\nAnswer: 24*i*t - 13992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/25*(-17)\/((-170)\/25))\/(-8).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkv. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 6*c + 0 - 5*c + 4*c - 4 + 5*c**3. What is the tens digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8495223.\nAnswer: 3, 11, 17, 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 2.3. Let r = -3.8 + h. What is the third smallest value in -1\/6, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*u**3 + 16*u**3 + 4*u**3 - 73*u**5 + 66*u wrt u.\nAnswer: -1460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 times 15598?\nAnswer: 7939382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344 = -4*z - 60*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229257 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/(t*((t*t*t*t**18)\/t)\/t*t*t))\/(t**5\/((t**(-4\/3)\/t)\/t)) assuming t is positive.\nAnswer: t**(-458\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, 38\/31 in ascending order.\nAnswer: 2\/3, 1, 38\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3 - (-16)\/6*1444\/(-608). Let n(s) = -s + 35. Determine n(j).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 2. Suppose -4*i - 21 = -169. Suppose -23 = 2*f + i. Let p be 6\/f + 32\/10. Calculate o(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 81786395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -739*l**3 - l**2. Let w be j(-1). Calculate the highest common divisor of w and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from zwzzzzzzzzwwzw?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1314?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g*g**2*g)\/g)\/g*g))**(-15))**(-7) assuming g is positive.\nAnswer: g**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Let m(x) be the third derivative of -1\/60*x**5 + 0*x + 2*x**2 + 0*x**3 + 0 + z*x**4. Let n(q) = -2*q. Determine n(m(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -11. Let j(d) = -3*d + 14 - 5*d - 10*d + 2*d. What is the units digit of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 62 = -4*x, -n = -5. Let k be (108\/42)\/((0 + -1)\/(-7)). Let s(h) = -k*h**2 + h**3 + 9*h - 22*h + 6*h**2. Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1442914, 5771767, 12986522, 23087179, 36073738, 51946199, 70704562?\n\"Answer: 1442951*n**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -106*v + 105*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -162714.\nAnswer: 5\/162714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.54 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {i: 3, w: 3, k: 3, d: 4, n: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k - 14*k - 4*k)*(1 + 2 - 1 - 3 - 2 + 3 - 4 + 4 - 1 - 3 - 2 + 4 + (1 - 4 + 2)*(-1 + 1 + 1) - 1 + 2 + 0) to the form l + s*k and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1045*c**3*t**2 + 448*c**3 + 4*c**2*t**2 - 3*c*t - 2*t**2 + 4*t - 3 wrt t?\nAnswer: -2090*c**3 + 8*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + 21*c**2 - 3*c - 8. Calculate the lowest common multiple of m(-5) and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 3*j**4\/4 - j**3\/3 + j**2 - 10. Let f(a) = 3*a**3 - 2*a**2 + 3*a + 1. Let w = 25972 - 25974. Calculate w*f(d) + 3*h(d).\nAnswer: 3*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 0*z**4 - 1\/5*z**5 + 5\/3*z**3 + 2 + 0*z + 0*z**2. What is the third derivative of t(r) wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754.74mm in centimeters?\nAnswer: 375.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*w - 67, w - 14*h = -16*h + 23. What is the highest common divisor of 209 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9768, -41924, -95518, -170550, -267020, -384928?\n\"Answer: -10719*x**2 + x + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110011101000010000 (base 2) in base 10?\nAnswer: -2308624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g - 360 = 0. Let z = g - -32. Let c be z\/(-12) + 8\/12. What is the second smallest value in 3, c, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2745*l**3 - 5413*l**3 + 2710*l**3.\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {v: 1, e: 1, y: 1, t: 1, a: 1, c: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((448\/56)\/8)\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 459 = -36*t + 521. Let i be -35*((-24)\/15)\/(-4). Let d = 21 + i. Calculate the highest common factor of d and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 - 87*g**2 + 39*g**2 + 335 + 47*g**2.\nAnswer: -g**2 + 734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2132004?\nAnswer: 2131444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b5 + c?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1213725 + 1704986. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4))**(2\/9)\/(x\/x**(2\/5)*x\/x**4))\/((x**(-2)\/x)**(-28)\/(x\/(x\/(x*x**(-2\/9)))*x**(-3))) assuming x is positive.\nAnswer: x**(-7529\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732060 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -47. Let s = m + -59. Let j = 23.3 + -22.3. Which is the nearest to j? (a) s (b) -5\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {n: 4, u: 5, i: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/151, 9, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t - 2. Let j be v(5). Let b = 0 + 2. Suppose r + b = -r. Is r < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f - 4*x = -25, 30 = 5*f + 5*x. Suppose -f = j + p + 2, 0 = -2*j - 3*p - 7. Suppose 3*r - 7*r + 32 = 0. Sort -4, j, r.\nAnswer: -4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**2 + 2500. Let s be (1 - 0) + (0 - 2). Let o(h) = -h. Give s*g(n) + 5*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -253*q - 3972. What is the remainder when r(-17) is divided by 102?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1004 - -1978. Let i = z - 973.9999193. Round i to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3029, -6071, -9125, -12197, -15293, -18419?\nAnswer: -21581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 6. Let y = -70 - -63. Calculate t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 12. Let i be c(13). Suppose -5*s + 23*w - 5 = 18*w, 5 = -5*s + 4*w. What is the third biggest value in s, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2744 (base 9) in base 5?\nAnswer: -31230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -18*x**2. Let a(c) = c**3 + 11*c**2 - 25*c + 15. Let p be a(-13). Let f(n) = -6*n**2 + 2*n**p + 2*n**2 + 3*n**2. What is w(f(s))?\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/60 - 3*p**4\/8 + 5*p**3\/6 - 5*p**2. What is the units digit of q(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 + -11 + 219 + -211\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-177)\/(-693). Sort i, -5, -4.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 72 = 4*s - 225, 0 = s - 4*y - 58. Suppose s = t - 215. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4 + 14*q**3 - 39*q**2 - 126*q + 432 = 0. Calculate q.\nAnswer: -3, 3, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/15 - -23\/60. Let b = 37\/20 - s. Suppose 16\/5*p**2 + 0 - b*p + 2*p**3 = 0. Calculate p.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 61*c + 1028. Let n be r(-19). Sort 4, 3, -1, n.\nAnswer: n, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11543 + 11574. Solve 90 = d*u - 96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532750 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = 2*o + 7, 0 = 2*j - 3*o + 21. Is (-276)\/8*4\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212.2784369 - 212.28. What is j rounded to five dps?\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7077, -7076, -7075, -7074?\n\"Answer: m - 7078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 17a33122?\nAnswer: 17a33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1863 times -10\nAnswer: -18630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 936 and 228936?\nAnswer: 8928504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -5\/3, -2, -66?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5463.9 times -0.052\nAnswer: -284.1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -551, -327, -85, 175, 453, 749?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5058*g**2 + 35*g**2 - 6 + 7 + 3 - 3 in the form d*g**2 + k*g + o and give d.\nAnswer: 5093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = 0, 2*o = -3*d + 1 + 17. Let a(r) = -r**2 - 3*r. Let z(v) = 12*v**2 + 32*v. What is o*z(m) + 32*a(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/11 - 169339*c**2\/11 + 6436365*c\/11 + 6605703\/11 = 0.\nAnswer: -169377, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 600. Suppose -5*b + 5 = -4*i, -5*i + 4*b - 4 = -2*i. Let z be c(i). What is z rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 8*u**2 + 9*u + 2. Let j be c(9). Calculate the highest common factor of j and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-233300)\/(-240) - 5) + (-2)\/24 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2378 is divided by 416?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 579 divided by -377.\nAnswer: -579\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855772 is divided by 1144?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2587 = -53*l + 1961 - 961 + 1819 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 8 + 5*w**2 + w**2 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000614632664 rounded to 7 dps?\nAnswer: 0.0006146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58624*b**3 + 83387*b**2?\nAnswer: -351744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 2 - 12 + 22*w - 4*w to p + y*w and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-188)\/(-34) + (-11)\/(44\/8). Is p less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 6, p: 4}. Give prob of picking 4 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030873816 rounded to six dps?\nAnswer: 0.003087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -j + 1224, -j + 6*j = 0. Let f = 6247 - 6169. Calculate the remainder when l is divided by f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -917*x**6\/120 + x**5\/60 + x**4\/12 + x**3\/6 - 2*x**2 - 4*x. Let o(h) be the first derivative of s(h). Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, -26 = a - 3*a - 2*v. Solve -y = 2*n + 12, -y + 0 = -3*n - a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 - k + 4. Let c be x(0). Factor 2*t**5 + 22*t**2 + 6*t**3 - 3*t**c - 24*t**2 - 3*t**4.\nAnswer: 2*t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*b - 2 = -340*b + 4*h, 5*h = -25 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/(q\/(q*q**(-6))*q*q)*(q**(-1\/9)\/q)\/q*(q**(1\/5)*q)\/q)**(-9\/2) assuming q is positive.\nAnswer: q**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*o**2 + 2\/3 + 4\/3*o = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18\/125, 16 in descending order.\nAnswer: 16, 18\/125, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -37. What is the remainder when 11 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 7440?\nAnswer: 319920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (9 + -19 - 2) + 0 + 54 + 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 8}. Give prob of sequence pkp.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.79 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(-9)*-2*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2386 and 3.\nAnswer: 7158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7 + 5. Suppose -y - 2 = -w. Suppose -y*m - 59 = -5*i - 5*m, 4*m = -2*i + 32. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -11*g**2 + 18886223*g - 18886223*g. Let h(k) = -45*k - 1. What is h(l(j))?\nAnswer: 495*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 + 11*y - 110 + y**3 - 39*y - 7*y to the form x*y**2 + p + b*y + w*y**3 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75939\/1340 or -58?\nAnswer: -75939\/1340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 4*sqrt(11)*-2)**2*-6 + (-6*sqrt(275)*1)**2 - ((-3 + 2 + sqrt(11))*3 + -4)*-5.\nAnswer: 15*sqrt(11) + 6631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -77, -106, -131, -152, -169?\n\"Answer: 2*y**2 - 39*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-14))\/(666\/1554). Solve -9*p + 14*p = y + 24, 2*y = -u*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3998 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + j + 41 + 62 = 0, 2*j = 2*c - 96. Solve 0 = c*l - 52*l - 2*n - 2, -3*n - 3 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:09 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.59 and -32723.\nAnswer: -32726.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g = 35*g + 270. Suppose -83315 = -g*l + 5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 2*o + 3*o)*(-5*o**3 - 2*o**3 + 2*o**3) to the form r + z*o**2 + d*o**4 + c*o + y*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, 1, -12, -0.2 in descending order.\nAnswer: 2, 1, 2\/7, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000537260466 rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 10, -72938.\nAnswer: -72938, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -384144 or -384143?\nAnswer: -384144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -15, -17, -23, -33, -47, -65?\n\"Answer: -2*i**2 + 8*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**4 + 2*u**5 + 4*u**4 + (-6 + 4 + 1)*(-4*u**5 - u**5 + 3*u**5) + 4*u**5 - u**5 + 0*u**5 - u**5 - u**5 + 3*u**5 + 24*u + 52*u**5 - 24*u.\nAnswer: 60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1120032120?\nAnswer: -1120032122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 16*d + 34. Suppose 3*w + c - 49 = 0, 6*w - 70 = w - 4*c. Let u = 39 - w. List the prime factors of h(u).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*m + 0)*(-2 + 1 - 2)*(3 + 13 - 79) as x*m + r and give x.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/261990 and -53\/3196278.\nAnswer: 15981390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = a - 12, 88*p - 84*p = 5*a - 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 3.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - ((-1 - -3) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174639 is divided by 3801?\nAnswer: 3594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2. Let b(x) = 5*x + 1750. Give b(h(m)).\nAnswer: 15*m**2 + 1750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10583 (base 10) to base 15\nAnswer: -3208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:16 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17926407.\nAnswer: 3, 23, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 + (6 - 24) + 13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18415, 18484, 18553, 18622, 18691?\nAnswer: 18760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 697*d + 8217. What is z(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1682379 - -336912. Let s = v + 2045467. Round s to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {w: 1, j: 1, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:01 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 0*z**5 + 0*z + 0*z**3 + 0 + 4*z**2 - 1\/420*z**6 + 1\/84*z**4. Factor c(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/2 + 1341*c**3\/2 - 1347*c**2\/2 - 1341*c\/2 + 672 = 0. Calculate c.\nAnswer: -448, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 1977.\nAnswer: -70\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*i**3 - 10*i**2 - 5*i**3 + 9*i**2 - 3*i + 21*i**3 as x*i**2 + m + j*i**3 + h*i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 791500 and 3000?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 66605146.2 from 4.\nAnswer: -66605142.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 - 57*p - 72. Give m(-10).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*(84\/10)\/(20\/(400\/9)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 136 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13213, 52508, 117873, 209308, 326813, 470388, 640033?\n\"Answer: 13035*y**2 + 190*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**3*z**2 - d**3*z - 10604196*d**3 - 17857*d**2*z - 17*d**2 - 40*d*z**2 wrt d?\nAnswer: -18*z**2 - 6*z - 63625176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3512 - -8327. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32777.6 or -0.8?\nAnswer: -32777.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10103 (base 4) to base 10.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33957 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 6*s - 9. Determine r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2. Let b(p) be the second derivative of p**3\/3 - 19*p. Determine b(z(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2361 divided by 5?\nAnswer: -2361\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 202155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - 18*r - 11. Let a(h) = -4*h**2 - 17*h - 10. Let g(b) = -5*a(b) + 4*c(b). Let d be g(-4). Is 16 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + v - v + 0*v + 0*v + 0*v + 0*v + v + (v - 5 + 5)*(-2 + 3 - 2) - v + 2*v - 2*v + 703*v - 227*v + 431*v.\nAnswer: 906*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*u - 520*u = 2103*u + 3799 + 437 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19050372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let a(y) = 4450*y - 10. Let f(p) = 903351*p - 2032. Let d(k) = -1016*a(k) + 5*f(k). Calculate d(t(u)).\nAnswer: -8890*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 30*c - 346. Determine o(-29).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9311 + -0.0689. What is the nearest to -2\/7 in k, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {p: 2, u: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/3 - 8972*d**3 - 90585794*d**2\/3 - 60363616*d - 90531968\/3.\nAnswer: -2*(d + 1)**2*(d + 6728)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 3) + 1 - (22 + (-8 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**0)**(2\/33)\/(y**(1\/4)\/((y\/((y*y\/y**(2\/15)*y*y)\/y*y))\/y)) assuming y is positive.\nAnswer: y**(-879\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-14) + (-7)\/(14\/300). Let b = r - -280. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39905278?\nAnswer: 2, 7, 2850377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 156*s**2 + 1728*s - 2816.\nAnswer: -2*(s - 8)*(s - 2)*(s + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9b (base 13) in base 9?\nAnswer: -2855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.777 and -21.\nAnswer: 1.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*d - 7*d + 12, 16 = 4*d - 2*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169241.\nAnswer: 169241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*o + 13, -4*y = -5*o - 6*y + 30. Suppose -2*h = -0*h - 8, -o*v + 2*h = 0. Factor 20*i + 17*i**v - 6*i**2 - 9*i**2.\nAnswer: 2*i*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-26)\/4)*-4. What is the units digit of (6\/10)\/((-2)\/s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-8 + (18 - 30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/8 - o**3 + o**2\/2 - 2*o. Let j(k) be the first derivative of y(k). What is the first derivative of j(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2386, 5460, 9224, 13678?\n\"Answer: 345*c**2 + 2039*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (65\/(0 + 5))\/(0 - 1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u**2 - 4*u**3 - 5*u + 3*u**2 - 8 + 3*u**3 - 5*u. What are the prime factors of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 256408, 256381, 256354?\n\"Answer: -27*f + 256435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316379 is divided by 15425?\nAnswer: 7879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 47*m + 48*m + 22 - 115*m + 5*m**2 - 6*m**2. What is y(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w**(-22))\/(w**1\/(((w\/w**(-1))\/w)\/w)) assuming w is positive.\nAnswer: w**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -7*j + 4*c, 5*c = 5*j. Let l(n) = 33 + 4*n - n - 35 - j*n. What is l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/47869798 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51499737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*p - 17. Let l(s) = -3*s**p + 2*s**2 + 10*s + s + 7 + 2*s**2. What is l(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -3*x + 6*x. Suppose -51 = g - 2*i - 12, -3*i - x = g. Let m = 78 + g. Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*t = -959 - 84, 0 = -4*l + 3*t + 2095. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6201?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-22) + 5\/(-7) + 0. What is the closest to 1 in -0.06, 4\/9, r?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 w when four letters picked without replacement from {s: 2, w: 6}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/24 + c**3\/2 - 2*c**2. What are the prime factors of p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 0*k + 31621 - 33428 in the form i + x*k and give i.\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27478839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.9815 - -0.2615. Let a = -0.72 - g. Let h = 45 - a. What is the third smallest value in h, 2\/3, -4, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65590370831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (9\/(-3))\/3. Suppose 5*n + 51 = z, z - 2*z = b*n + 49. What is the units digit of n\/3*(-12)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-6)\/3 + -3. Suppose o = 5*t + 5*v - 80, t = -2*t - 5*v + 44. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 232 = 18*q - 16*q, 3*b = -2*q - 708. Let c be (-2)\/(-17) + (-14252)\/b. What is the greatest common divisor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8075 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000111 - -111101100?\nAnswer: -11011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1, -2, -0.06, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -52. Suppose -5*v + 47 + 13 = 0. What is the lowest common multiple of r and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4.031357 minutes?\nAnswer: 241881.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.3478 rounded to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + w = -3*w + 87, -2*y - 139 = -w. Let l = y - -71. Solve 0 = -0*g - g - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-7)\/3 - 18\/(-54). Which is greater: v or -11\/31?\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5487960348 - -5487960269.99999107. Let o = k - -78. What is o rounded to seven decimal places?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764580?\nAnswer: 2, 3, 5, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590442399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.2. Let h = 1.2 - g. Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 + 1)\/(-4))\/((-9)\/(-36)). Let f be ((-440)\/5)\/1*7\/s. Let w = f - 134. List the prime factors of w.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/34884*18*((-180)\/25 - 0)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167599 is divided by 3206.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 7 in decreasing order.\nAnswer: 10, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003636547 rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + 2.2. Let z = 1 + w. Let q = -231 - -231.4. Which is the biggest value? (a) q (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.7, 0, 1\/3 in ascending order.\nAnswer: 0, 1\/3, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5964.8 + -5965. What is the biggest value in 1\/11, 586, i?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*m + 6*c + 66 = -180*m, -2*m + 5*c + 64 = 0 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 922 divide 3886114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let c(z) = 4. Let v(n) = -c(n) + 3*x(n). Let i = 2 + 3. Is 11 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84.24 - 84. Let p = g + -0.372. Let b = 0.1319688 + p. What is b rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 118. Let t = -40 + 65. Suppose 0 = d*o + u - 67, 3*o - u = 5*o - t. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itxqqxnne. Give prob of sequence xn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1170\/325*25\/30*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 - 3*i + 5. Suppose 0 = -3*b + 2*s + 33, 13*b - 6*s = 10*b + 45. What is the remainder when q(-4) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48778 is divided by 14974.\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/1)\/((-2)\/(-2)). Let u(m) = -3*m - 14. Let h be u(z). Is -131*(3\/h)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((621\/(-1564))\/27)\/(-3*3\/(-108))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63999 and 2340.\nAnswer: 1279980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 9. Let b be x(8). What is the closest to 2 in 0, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320) + -1)*2 + 2)**2 + ((sqrt(90)*1)\/sqrt(2))**2 + 5.\nAnswer: 5170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 40 = -4*w, -4*w + 9*w - 3*c - 72 = 0. Suppose 3*o + 9 = 0, p + 0*o - w = o. Suppose -3*l = -6, -3*s = -2*s - l - p. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 126? (a) -3 (b) -11 (c) 1463 (d) 5\/3 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3446173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.7 plus -0.179?\nAnswer: -52.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((152\/1995)\/(-4))\/(2\/10)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5080\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let y = 1.7 - q. Let v = -438324 - -438320. Put y, -3, v in descending order.\nAnswer: y, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-99)\/22*1536\/(-112). Is k at most as big as 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 277*h**8\/336 - 13*h**5\/4 + 72*h**2. What is the third derivative of v(n) wrt n?\nAnswer: 16620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17064\/(-756) - (-8)\/14\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42\/12)\/((-4)\/3632*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 325?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379175408?\nAnswer: 2, 37, 640499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -349 - -357. Calculate the remainder when 60 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 5 (b) 4675 (c) 0.5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) 0.4 (c) -0.4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453 - -2?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f. Let p(k) = 60*k. Let b(i) = 181*i - 1. Let m(d) = 2*b(d) - 7*p(d). Let c(t) = -4464*t - 155. Let y(g) = -2*c(g) + 155*m(g). What is y(j(s))?\nAnswer: 124*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 l when four letters picked without replacement from llbblbblllblbbbbll.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -0*c + 4*c - 16, 5*c + 2*q = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 y, 1 z, and 1 r when four letters picked without replacement from uuuurzyzuuuluyrrryz.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 1. Let c(z) = -9*z**2 - 2. Let t(y) = 4*c(y) - 7*j(y). Let x be t(-2). Let s(r) = -r**2 - 5*r + 4. Let k be s(x). Solve 2*i - k = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84476562 to the power of 1\/2, to the nearest integer?\nAnswer: 9191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 2)*(3 + 3 - 4)*(-1 + 0 + 2)*((-1 - 1 + 0)*(-51*j - 21*j + 19*j) + j - 2*j + 2*j) as g*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -333*q*r**2 + 2*q*r - 2*q*z + q + 935305*r**2*z - 176*r**2 - 2*r wrt z.\nAnswer: -2*q + 935305*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-196)\/(-11) - ((-24)\/132 - 0) and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 33 - (2 + 2)) + -16 + 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2\/5 - 1636836*t\/5 + 1636833\/5 = 0.\nAnswer: 1, 545611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 11*r + 476. Give l(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 16*f + 24. Suppose -y + 12 = 3*y. Suppose -19 = -y*j - f. Solve -3*o + 2*o = -4*r, j*o = -4*r + 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718112 is divided by 3969?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (-26 - (-4 - -16) - -23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 452, 610, 728, 806?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (16 + -8 + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -78. What is the units digit of (k\/((-36)\/417))\/((-2)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c + 182. Let d be g(-13). Solve d = 5*z - 28 + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 - -6) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + d + 25 + 1 = 0, -r - 3*d = 14. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/5)\/f**17*f*(f**(2\/15)\/f)\/f*f*f**(-1\/10) assuming f is positive.\nAnswer: f**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewyeyeeeyeyewe. What is prob of picking 1 w and 1 e?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*s**3 - 66*s**3 + 41*s**3 + (2*s**2 + 2*s - 2*s)*(0*s + 2*s + 0*s) + (-7*s**2 + 3*s**2 + 3*s**2)*(0*s - 4*s + s).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -119 - 9. Suppose -f = 3*p + 25. Let j = p + 46. Solve -2*q - 8 = -2, -3*v = 4*q + j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 3*a + 3. Let z(l) = -8*l**2 - 4*l - 4. Let b(i) = -4*u(i) - 3*z(i). Let p(f) = 9*f + 1. Calculate p(b(t)).\nAnswer: 144*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*g, -6*g + 2*g = 3*t. Let b = -107\/5 - -21. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376064 + 44905 - 73729 = 7025*j - 151535 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 11*c**8\/14 + 5*c**4\/3 - 23*c. Find the third derivative of m(q) wrt q.\nAnswer: 5280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -k - 3*u, 3*k + 2*u = 5*k + 2. Put -2, -5, k in descending order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 1. Let o be k(1). Suppose -3*d + 3*b - 7*b + 10 = o, 4 = 4*b. What is the derivative of -d + 3*g**3 - g**3 - 4*g + 4*g wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257+-0.071\nAnswer: -257.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142 - 1068?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -32.8. Let p = y + -6.8. Let m be (0 + -6)*(-1)\/2. What is the biggest value in 5, m, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7396 by 1849.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9286 - 7504. What is the highest common divisor of 3078 and q?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932 times 7?\nAnswer: -6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/45*(5 + 5). Let g = -3\/4 + 9\/4. Which is the closest to 2? (a) h (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/2 (c) 0.01 (d) 1\/200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6296, 2\/13, 1, -0.3, -4?\nAnswer: 6296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24419739, -24419735, -24419731, -24419727?\nAnswer: -24419723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**8\/1008 - g**7\/70 + 31*g**6\/360 - 17*g**5\/60 + 5*g**4\/9 - 2*g**3\/3 - g**2 - 16. Find b, given that x(b) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 156 = -3*h, 0 = 4*i - h - 90 - 74. Suppose -i = -4*t - d - 19, -3*t + 18 = d. Solve 3*p + 6 = 5*m - 1, 0 = -p - t*m + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:48 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 60*i**2 + 62*i - 14. Calculate j(19).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 19. Suppose -4*v + u = -3*v. Calculate the remainder when v is divided by 6*(-2)\/(-4) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, 0.05, -39\/2, -19\/30.\nAnswer: -39\/2, -19\/30, 0.02, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40124352 (base 6) in base 10?\nAnswer: 1131116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*z + 21*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -3\/8, 24.3566, -4, -8?\nAnswer: 24.3566","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/23)*a*a)\/a**(-3))**(38\/9))**(-22\/3) assuming a is positive.\nAnswer: a**(-10868\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -113. Calculate the highest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 67. Let v = n - 15. What is the biggest value in 0.5, v, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = 3*k - 8, 5*k - 2*a - 19 = 0. Solve k*o = -3*n + 12, -o - 14 = -2*n + 3*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 4 (c) -6\/7 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 18, 2 in decreasing order.\nAnswer: 18, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsrsr. Give prob of sequence rr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 1720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from yyoyoyy?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12099\/266 + 2\/133. Calculate the common denominator of u and -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/216 and 91\/44.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -625*x - 26. Suppose -15*j - 6 = -13*j. Is d(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5) - 178\/(-10). Let f = g + -5. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*x**4 - 64*x**4 + 924*x**4)*(-3*x + 2*x + 3*x)*(2 - 3 + 0).\nAnswer: -1130*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/27*-3*(-27)\/(-72)*-28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -1.35. Let x = o + 1. What is the third biggest value in -0.4, 1\/6, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/35*(1 + 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:19 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -88, -293, -712, -1417, -2480?\nAnswer: -3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o)*(-228*o - 175*o + 108*o).\nAnswer: 295*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:42 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 10*t**2 - t + 5. Let c be w(7). Let x = c - 60. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 66. Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 8*a - 10. Let z be q(-7). Is 1636 - z*(5 + (4 - 8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 5*m - 145233 = -145314, 5*m = -5*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12248.04 weeks?\nAnswer: 7407614592000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3 - 14*g**2 - 468*g + 7128 = 0. Calculate g.\nAnswer: -22, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*y = -369*y + 660. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -22909 (c) -4 (d) 161 (e) -0.4 (f) 10 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(1\/2). Solve 16 = -s*i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70706.\nAnswer: 2, 35353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*z + 335 + 363 = -355 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/2 - 2339*o**4 - 55929*o**3\/2 + 146968*o**2 - 51374*o - 223968 = 0?\nAnswer: -4666, -16, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55794 and 8?\nAnswer: 223176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 11006 = -59309. What are the prime factors of g?\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3680550 and 4293975.\nAnswer: 25763850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -14*k + 7. Let c(n) = -7*n + 4. Let h(m) = -7*c(m) + 4*x(m). What is h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4011*k**2*o**2 - 125828*k**2*o*t + 128*k**2*o + 7*k*o**2 + o**2*t - o*t with respect to t.\nAnswer: -125828*k**2*o + o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -554 or 202?\nAnswer: -554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(78)\/sqrt(6) - -6*sqrt(143)\/sqrt(11).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:17 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -23 + 7)\/(-2). Suppose 5*d + 0 = 5, -4*j + 2*d + a = 0. Solve 5*h - 2*r = -5*r - 14, -j*h + 5*r - 18 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5\/9 - 46*g**4\/9 + 26*g**3 + 574*g**2\/9 - 2828*g\/9 - 1040\/3 = 0.\nAnswer: -3, -1, 4, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 197541*h**2 - 790227*h + 987765.\nAnswer: 3*(h - 65851)*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 405 - 235)*((4 + 1 - 4)*(j**2 - 4*j**2 + 0*j**2) - 4 + 2*j**2 + 4).\nAnswer: -190*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2593944.\nAnswer: 2, 3, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 90164*q + 180336.\nAnswer: -2*(q - 45084)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -17*u**3\/6 - 3*u**2 + 50*u. Let v(k) = -2*k. What is a(v(i))?\nAnswer: 34*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r = 5457 - 1743 + 3525. Calculate the remainder when r is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-57 - 20) + 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - -3.5. Let l = 8.5 - k. Which is the biggest value? (a) l (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + 2*p)*(16*p - 16*p + 19*p**2).\nAnswer: 38*p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/20 - (-6)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/8))\/(x**(-6\/5)*x) assuming x is positive.\nAnswer: x**(63\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let w(o) = -11*o**5 + 35*o**2 + 2*o + 2. Let y(u) = -2*f(u) - w(u). Find the third derivative of y(m) wrt m.\nAnswer: 660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -0.419, 4.\nAnswer: -0.419, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 18 = -3*r. Factor -1 + 4 - 3*g**3 - r*g**2 + g - 10*g + 15*g**2.\nAnswer: -3*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309406630 and 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 168*z**2 - 167*z**2 + 12*z - 26*z - 40 - 83. Calculate k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/957072 - -72099187\/226826064. Let n = m - -10\/79. Suppose 2 = -2*s + 4. Is n < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 51*k - 59*k. Suppose 2*m = n + 6, 0*n + 2 = -3*m - k*n. Solve 6 = 3*p - 3*h, -m*h - 3 = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-113)\/678)\/(((-10)\/12)\/(-5)). Is w smaller than -703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 11 - (-175 + (9 - 3))?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929 - 219 = -4*x - 33*o, -2*x - 3*o + 473 = -2*o + 487 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7884793 = 33*r + 109*r + 2426029. What are the prime factors of r?\nAnswer: 2, 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/15 + (-211)\/5. Let y = m - -464\/11. What is the second smallest value in 2\/7, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/81 and (-7546)\/6336*4\/(-210).\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 10. Which is bigger: g or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46\/117 - 8\/13. Let y(t) = 14*t**2 - t - 1. Let c be y(-1). Suppose c = 2*i + 6. What is the third smallest value in -2\/7, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18424 times -1\nAnswer: -18424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73593362603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-252) + (-14902999)\/(-7). Round n to the nearest ten thousand.\nAnswer: 2130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*18)\/(((-24)\/(-92))\/(188\/(-1081)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28797312 is divided by 125?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 240427 (base 11) to base 10\nAnswer: 381179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75083736727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 220489 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19 - 11 - l + 25. Let q be w(21). Let v be ((-1)\/(-6))\/((-4)\/q)*-4. Solve v*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 19. Suppose -x = -4*r + 110. Suppose -n - r = n. Which is bigger: n or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*r + 2*b, -b = -3*r - r + 18. Solve r*s + 30 = 2*u, -5*u - s + 3*s + 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) -0.3 (c) 2\/59 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05973 and 401878.\nAnswer: 401878.05973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 30 - 5 = 0. Sort 3, k, 4.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/3)*s))**(4\/45))**(-4\/5) assuming s is positive.\nAnswer: s**(32\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/165*-4)\/((-4968)\/(-37260)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.057 * 10.\nAnswer: -30.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 + 5*u**2 - 5*u - 11. Let c(v) = -v**3 + v**2 - v - 1. Let j(k) = -5*c(k) + s(k). What is the first derivative of j(g) wrt g?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 25925 = s + 25938, 2*q - 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 8*m**3 + 2*m**3 + 2*m**3 - m to s + z*m**3 + o*m**2 + g*m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1081, 1088, 1095?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 267.0445 - 0.0445. Let o = r + -263. Put 125, -0.5, o in descending order.\nAnswer: 125, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 - 7*c - 3. Let i(v) = -23*v**2 + 20*v + 9. Let z(l) = -6*i(l) - 17*y(l). Give z(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4 - 0. Let q be 1 + x + 3\/(-2). Let n be 3\/12 + (-1)\/12. Which is the biggest value? (a) -4 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 25*v**2 + 24*v + 21. Let y be i(-24). Let x be (-45)\/5 - (-68)\/2. Solve y*r = x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 35. Suppose -v*x = -0 - 6. Solve 5*y = x*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8 = 0, 5*j + 3099*y - 3095*y + 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/21 (b) -3\/8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1450628317 - 0.2.\nAnswer: -1450628317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 9. Let m be 86997 - (o - (-1 - -2)). Round m to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + 12 + -2 + 165\/(-15). Let n(b) = b**3 + b - 3. Let j be n(0). Put 15, j, a in ascending order.\nAnswer: j, a, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 11*w**5\/30 + 82*w**2 + 2. Let j(b) be the first derivative of -2*b**2 + 30. Give d(j(f)).\nAnswer: 352*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1848360063.8 to the nearest 10000.\nAnswer: -1848360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -154a427 (base 11) in base 2?\nAnswer: -1010000110110001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3452802527?\nAnswer: 17, 23, 8830697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2 (b) -67 (c) 4\/7 (d) 40.6 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107588.\nAnswer: 2, 3, 23, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2691 + -961\/172224. Let o = 11575145077\/2112 - 5480656. Let f = c - o. What is the closest to 2\/5 in -4\/5, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -91 (b) -1\/3 (c) 2 (d) 2\/9 (e) -336\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 2*z**2 + 6*z + 1. Let j be d(-4). Suppose 0 = a - 3 - j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -101*s**2 - 16*s - 18. Let w(t) = 50*t**2 + 7*t + 9. Let x(z) = 6*v(z) + 13*w(z). Is 15 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 24*h + 186. What is the remainder when h is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996879 divided by 2941?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20*(84\/(-8))\/(-7). Let q(i) = -i + 5. Let t be q(3). Suppose t*f = 10 + o. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*l - 42, 45 = 5*t - 0*t + l. Suppose 11*b - 24 = t*b. Let i = -232 + 232. Solve -5*w + w - b = i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8606 (base 12) to base 4.\nAnswer: 312031212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 = n, 5*n = n - 4. Let v(m) = -m**3 - 3*m - 5. Does 15 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 767*r + 2. Let q(n) = 1416663*n + 3695. Determine 4*q(d) - 7390*y(d).\nAnswer: -1478*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20ab6 (base 15) to base 3.\nAnswer: 12021012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8836\/94)\/(3\/12). What is the highest common divisor of 188 and y?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 1\/2, -3\/95, 14, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381469937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 362408 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1710062500 to the nearest 1000000.\nAnswer: -1710000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*p + 148, 0 = 2*u + u - 6. Suppose 4*m - p = -m. What is the units digit of 15\/m*(3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - -66.3.\nAnswer: 80.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81197730 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:17 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 0*g + 0*g)*(0*g - g**3 + 0*g) - 5*g**5 + g**5 + 0*g**5 - 1 - g**5 - 11*g**3 + 11*g**3.\nAnswer: -2*g**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/17)*p)**(2\/3)\/(p**7)**(-22) assuming p is positive.\nAnswer: p**(7892\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/11 - 1167756*l\/11 - 122636430\/11 = 0. What is l?\nAnswer: -105, 583983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139473449?\nAnswer: 23, 83, 73061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 1569 - 2081. What is the remainder when 621 is divided by m?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 85*f + 5. Let o be l(28). Let k = o + -632. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*c + 27, -8 = -3*d - 5*c + 15. Suppose 3*v - 5*v = -d. Suppose 2*z - 8 = -4*w, 2*w = -v*w + z + 24. Solve -4 - w = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -369794, -1478991, -3327598, -5915615?\n\"Answer: -369705*y**2 - 82*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.84 + -1.91. Let g = -0.07 - z. Let p be ((-3)\/14)\/((-9)\/(-12)). Which is bigger: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l - 46*l = 3*c - 16, -4*c + 10 = -l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - c + 29 = 0, -1329 + 1279 = -j - 5*c. Solve -3*w = -6*w + 5*t - 19, -20 = -j*w - 2*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -561*k**2. Let w(c) be the first derivative of -2*c**3\/3 + 1404. Calculate t(w(p)).\nAnswer: -2244*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18415, 15, -3 in decreasing order.\nAnswer: 18415, 15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -140 and 3253407.\nAnswer: 3253267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**2 + 6*p + 11. Let b(a) = 3*a**2 - a - 1. Let r(v) = 7*v**2 - 2*v - 2. Let k(f) = 9*b(f) - 4*r(f). What is 6*k(g) + s(g)?\nAnswer: 2*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10672049 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/8 + 5*a**2\/4 + 23*a\/8 + 3\/2.\nAnswer: -(a - 12)*(a + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.6 + -13.6. What is the fourth biggest value in 0.9, m, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -17 (b) 0.1 (c) -0.07 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -34*q**2 - 447*q - 65 = 0.\nAnswer: -13, -5\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 3*y**2 - 90*y + 820. Calculate d(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252.94 + -255. Let q = z - -0.06. Let u = 1\/21 - 1\/3. Is u < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -5) + 2 + -2 + (45 - 22) + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {c: 1, x: 17}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7439811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0482 + -0.1482. Is n bigger than -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*o)\/o**(-10)*o**(-24)*o*o**(-2\/15) assuming o is positive.\nAnswer: o**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-99960)\/(-560))\/(-119))\/((-4)\/(16\/123)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8 - 2*f + 14.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -42102503 to the nearest ten thousand.\nAnswer: -42100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1921, 3840, 5759, 7678?\nAnswer: 9597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(-1) - 442\/(-170)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q = 928. Suppose 5*k - a - 219 = q, 0 = -5*k + 3*a + 453. Let y be k\/21 - 6\/21. What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 2*l**2 - 2*l**2 + (-l**3 - l**3 + 3*l**3)*(5 + 1 + 1) + 3*l**3 - 7*l**3 + 2*l**3 as s*l + m + v*l**2 + y*l**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.185, 2\/9, 5?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4939 and 44002.\nAnswer: 484022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(980))\/(sqrt(100) + -3*sqrt(100)))**2.\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 1 - -3. Suppose 0 = 2*l - 3*p + q, 0 = l + 5*p + 29 - 8. Let n = 14 + -21. Which is greater: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142741168 minus 4276600?\nAnswer: -147017768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = 8. Let l = 6 + p. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {g: 2, e: 2, o: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 5, 1.1, 1\/12, 3\/5 in ascending order.\nAnswer: 1\/12, 2\/11, 3\/5, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7*k - 20. Let a be (-47)\/k + (-1)\/(-4). Suppose -3*f + 0*f = -a, 2*f = 3*r - 13. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.501*93\nAnswer: -325.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 888.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 41. Let n be l(-24). Factor -8 + 13*y**3 + 3*y**2 + 4*y**3 - 28*y - y**3 + n*y**2.\nAnswer: 4*(y - 1)*(y + 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -2014, -4104, -6946, -10534, -14862, -19924, -25714?\nAnswer: -32226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxqxrqxirrq. Give prob of picking 1 r, 1 q, and 1 x.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17434823789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.0132, 6\/5, 3, 1\/3, 12?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 649 and 531059?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (855\/30 - 14)) + 10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 21*k**2 - 17*k - 22. Suppose 2*t - 15*t = -260. Let c be m(t). Suppose 3 = c*o - 35*o. Let q(w) = 22*w**3 - 2*w**2 + w. Calculate q(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -12 + (0 + 0 + -2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1324)\/2*(-11)\/22. Suppose m = u - 3448. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221732 divided by -9.\nAnswer: 221732\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 410083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 10915126748 and -10.5.\nAnswer: 10915126737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 22*g + 4 + 3 as q + x*g and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 7}. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (897\/207)\/(3\/9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-50)*(-1010)\/(-808). Let s = -4 - -3. Let g be (-8)\/(-9)*(-8)\/96. Put v, g, 0.1, s in ascending order.\nAnswer: s, v, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 933968*g - 3*i = 933963*g + 31, -4*g - 5*i + 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -w + 1, -2*w + 5*r + 2 = -0. Solve 0 = -4*k - 5 + w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 2*g**2 - 3*g - 12 - 4*g + 16 + g**3. Let b be q(3). Suppose -47 = 4*r + 2*f - 135, 0 = 5*r - b*f - 123. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 112\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, t: 4, h: 1}. Give prob of picking 2 u.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i + 2. Calculate z(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8115186000 to the nearest one million.\nAnswer: -8115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 68 = -l + 6*l, 4*l - 64 = -4*g. What is the closest to -2 in -2, 2\/3, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {j: 1, z: 2, x: 1, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 0*p**2 - p**2 + 0*p**2 - 5*p.\nAnswer: -p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 10*x**2 + 3*x**2 + 4*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/84 + 3*m**4\/8 - 9*m**2. Find the second derivative of u(b) wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 964 and 3366529?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 4*u = 12, -56*s = -58*s - 6*u - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (279\/(-31))\/(((-574)\/(-84))\/(-41)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:26 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794580 is divided by 183?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*n**4 - 2*n**3 - 1212.\nAnswer: -84*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/294 + (-43938)\/(-756) + 5\/30?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2593820599.\nAnswer: 59, 43963061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-10)*10\/4. Let t(l) = -l**2 - 11*l - 14. What is the remainder when 2 + -4*(-3 - -2) is divided by t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d. Suppose -2*h - 4 = -4*c + 8, 2*c - 5*h - 6 = 0. Let s(i) = 2*i - c*i + d*i. Let x(u) = -3*u. Determine x(s(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 12:21 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 2, n: 1, x: 2, z: 1, g: 1}. Give prob of picking 1 u and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(163\/(38794\/68))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59194 is divided by 1557?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - l + 8. Suppose 2*d = -5*m + 20, -5*d + 5*m = 7*m - 8. Suppose d = 13*c + 20*c - 198. Determine z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 9*b**2 - b + 18. Let w be r(9). Let l(t) = -3 + 7*t**2 + 3 - w*t**2. Let a(n) = -7*n**2 - 82*n**2 + 26*n**2. Give a(l(u)).\nAnswer: -252*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 3*z - 2*b = -5, -z + 1 = b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1234172425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213 (base 5) in base 11?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - (-3 + 1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7007 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 403295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 7. Let d be p(-2). Suppose 3*g + d*c - 153 = 6*c, 1 = -c. Calculate the remainder when g is divided by 620\/24 + (-4)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 26 - (-13 + 0) - 17?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 2. Let r be g(-2). Let o = 95 + 73. Let z be 10*(o\/15)\/2. Calculate the greatest common divisor of r and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:40 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*w = 3*w - 35, 2*q = -5*w + 25. Suppose -3*d - 4 = -q*d. Find the second derivative of c**4 + 4*c - d*c**5 - 6*c - c**4 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f\/((f*f**(-24\/11))\/f*f))\/f))**(22\/7) assuming f is positive.\nAnswer: f**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -l - 6. Let c(d) = d**2 + 31*d + 207. Calculate the lowest common multiple of c(-22) and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 = -5*f, 19 = 5*g + 5*f - 1. Suppose g = -d - 0. Let m = d + 8. What is the lowest common multiple of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 216 = -3*l. Let b(v) = 53*v - 3 - l*v + 4. Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4926 = -304*s - 1423 + 877 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)))\/(w**(-5\/4)*w)*w**(1\/17)\/w**(1\/15))**(-18\/5) assuming w is positive.\nAnswer: w**(-12981\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**2 - 817*y + 6166. Determine r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*n**3*q**5 - 83*n**3*q**3 + n**3*q + 16*n**2*q**2 - 1055*n*q**2 wrt q.\nAnswer: -660*n**3*q**2 - 498*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g - 6*p, 3*g - 3*p - 10 = -25. Let x = 1.1 + -1. Which is the nearest to x? (a) 0.3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193805 and 934.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 - 3 + 2 + 3 + (-1 - 1 + 1)*(1 + 0 + 1) - 4 - 2 + 4 - 1 - 2 + 1 - 5 + 4 + 0 - 2 - 4 + 4 - 1 + 0 + 0 + 0 + 1 + 5)*(1 - 7 + 14)*(32 - 32 + 4*b).\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -34) + (-82 - -53)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1475213457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25988, -25695, -25404, -25115, -24828, -24543?\n\"Answer: -z**2 + 296*z - 26283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1434, -1436, -1436, -1434, -1430?\n\"Answer: i**2 - 5*i - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1393*y - 249346. Calculate z(-179).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 693*x**4 - 93*x + 4*x**2 + 331*x - 98*x - 143*x + (0*x**2 + x**3 + 0*x**2)*(1 + x - 1) as r*x**2 + b + m*x**3 + d*x + k*x**4 and give k.\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14436605 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**5 + 449907*t**4 + 19133118*t**3 - 92509971*t**2 + 126045924*t - 42315228 = 0. What is t?\nAnswer: -47, 1\/2, 2, 75027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -3) + 2 + -4. Let l be -1 - -1 - (-3 + 1). What is the greatest common factor of b and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*w + 118 - 31*w - 190 - 25*w + 111 - 30*w.\nAnswer: -3*w + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -46 - -57) + (-7 - (-1 + 1)) - 55.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5791 - -5791.0000012955. Round d to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + 1 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, 3*m = -3*x + x + 7. Solve 3*y - 3*w + 6 = -4*w, -3*y + 12 = -m*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12 - 12. Let j(q) = q**3 + 6*q**2 - 3*q - 14. Let s be j(f). Suppose 0 = i + 5*m + 4 - 6, 3*i - 6 = s*m. Solve 4*u - i = 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 11*g**3\/3 + g**2\/2 - 3*g + 2. What are the prime factors of h(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 795, 792, 789, 786, 783, 780?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 3*c - 9. Let n(l) = -l - 1. Let g(a) = k(a) - 3*n(a). Give g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - 15\/(-3))*(-2)\/(-4). Solve d*g = -5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -3, -304, -96, -1 in increasing order.\nAnswer: -304, -96, -5, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 37 = 4*d, -2*l - 47 = -7*l + d. Suppose -n = 2*n - l. Differentiate -13 + 2 - o**n + 0 - 4*o**3 with respect to o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/19, -4, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 2.5. Let s = 2.06 - 0.16. Let q = p - s. Which is the third smallest value? (a) q (b) 0.2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30677 = -48*o - 629. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -38 - 16. What is the greatest common divisor of 1323 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163\/72 - -7\/72. What is the third smallest value in 3, -0.3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.8, -1\/3, 1\/596?\nAnswer: 1\/596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23\/24, -334\/19, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158717024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j - 51 = -104 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -1\/16 (d) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -15\/8, 5, 1, 3, 2494?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 16*g - h - 595, g + h = 293. What is the highest common divisor of g and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 165*o**2 - 345*o + 175.\nAnswer: 5*(o - 1)**2*(o + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/3))\/(b\/(b\/(b\/b**(-16)))) assuming b is positive.\nAnswer: b**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2217 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 722000 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 29*i - 30*i = 1, 10 = -2*j + 3*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 8*a + 5. Let t be n(-8). Suppose -359 - 21 = -t*z. Let k = z + -9. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -899)*-5*1\/10. Suppose -47*w + 42*w + z = 2*n, 4*w + 192 = n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-23 + (19 - 4 - -36))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3237 and 61\/1416.\nAnswer: 1527864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*k - 10 = 0, 1 - 4 = t - 2*k. Solve 0 = 10*y - t*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49969 times 37\nAnswer: -1848853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -27. Suppose d*h - 19*h = -32. Calculate the greatest common factor of 176 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*c + 625*c + 13*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10033 - -2312?\nAnswer: 13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -50\/3. Let g = -0.2 + 0.2. Which is the nearest to -0.1? (a) s (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*l - 28, -4*t + 2*t + l = 0. What is the biggest value in t, 5, -247?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*g**2*l*r - 2*g**2*l - g**2*r + 4*g*l*r + g*r + 32*l*r wrt g?\nAnswer: 50*l*r - 4*l - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnl when four letters picked without replacement from lnnllllnlllllnllll?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6467475 and 9779?\nAnswer: 71142225","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide -6 - (1 - (1 + 746))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 20 = 2*z, 0*z + 4*l + 40 = -4*z. Let c(s) = s**3 - 7*s**2 + 6*s - 5. Let j be c(6). Let f be (j - -2)*z\/15. Put f, 4, 3 in descending order.\nAnswer: 4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 19*a - 65. Let r be z(22). Let y(l) = 9590009*l - 9. Let k be y(r). Round k to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = 120. What is the remainder when z is divided by ((-180)\/(-50))\/((-39)\/(-30) - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.306 + -0.464. Let g = 3.87 + k. Which is the closest to 1\/3? (a) 4 (b) -50 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5970 and 735703.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-193435)\/(-5) - -3*-8*(-3)\/(-18).\nAnswer: 101, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -23. Let q be (3*(-4)\/c)\/((-2)\/8). Suppose 5 - 3 + 6*z + q - 2 + 2*z**2 = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -68*z**2 - 44*z - 12. Let r(o) = o**2 + o - 2. Let q(i) = 6*r(i) - w(i). What is the second derivative of q(x) wrt x?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.3. Let l = -4.169 + -0.031. Let h = -0.2 - l. Which is the smallest value? (a) h (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1040 - 640. Suppose 4*f = 0, -440 = -4*c - f + k. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552630 = 2963*f + 3470*f + 652*f for f.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12087021 divided by -12003?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 69 = -22*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 1:18 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3593784 to 3 dps.\nAnswer: -0.359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2*x - 6*t**2*z**3 - 6*t**2*z**2 - 9*t**2*z - 4*t*x*z**3 - 2*x - 2*z**3 wrt z.\nAnswer: -36*t**2 - 24*t*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2202\/(-4)*(-2)\/33 - 1220\/3355\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18100*w - 64. Calculate u(0).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11149, -47687, -109613, -196927, -309629, -447719, -611197?\nAnswer: -800063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -n + 1 - 20, -3*u = -2*n + 14. Put u, 3, 1 in increasing order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 + 5)\/10)\/1. Let g = -0.37 - -0.07. Sort g, 4, k.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 7. Let z(g) = 15*g - 99. Let x be z(9). Suppose -2*k = -j + 10, k = 6*k + 3*j + x. What is d(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose 5*q - 4*m + 5*m - 7 = 0, -3*q + r*m - 3 = 0. Let s be 7 + -4 + q + -1. Solve -5*f = 20, 3*f + 20 = -s*j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -953?\nAnswer: -953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*f**6 - 8*f**2 + 2735*f**2 - 510*f**2 wrt f.\nAnswer: -33120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-24))\/((-3)\/(27\/15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 47. Let s be 10\/4 + (-1)\/2. What is the greatest common factor of s and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = -4*t. Suppose -5*f + 8*f - 48 = 0. Let m = f - 20. Sort t, m, -5 in descending order.\nAnswer: t, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxoaouuzxouozoou. Give prob of picking 2 a, 1 x, and 1 z.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -113815.8911 rounded to the nearest 100?\nAnswer: -113800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 2860?\nAnswer: -2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*1)\/sqrt(5) - (sqrt(42) + sqrt(504)\/sqrt(108)))\/(sqrt(6) + (sqrt(6) + sqrt(54) + sqrt(6))*-2 + (sqrt(168)\/sqrt(4))\/sqrt(7)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573333873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505232?\nAnswer: 2, 7, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -47\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4) - (-7868)\/(-2248)*(-14)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 5*c - 5. Let a(f) = 7*f**2 + 6*f - 6. Let x(v) = 5*a(v) - 6*q(v). Let b(m) be the first derivative of -5*m**3\/3 - 232. Determine b(x(i)).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 9. Suppose a = -4*a + 125. Let n be (a\/10)\/((-1)\/l). Solve 4*b + n = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00210025254 to 5 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 212 = 18*k, 180*b = k + 183*b + 109 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-63)\/28)\/(6\/16). Suppose -10 = 16*c + 38. Let z be ((-44)\/10 - c) + 2 + -1. Is v at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 124, -1, 14 in decreasing order.\nAnswer: 124, 14, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:15 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 12, 0*t + 4*t + 172 = 4*i. Let r(l) = -11*l**3 + 2*l**2 + 5*l + 2. What is the lowest common multiple of r(-1) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 109648?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 10 = 11*w + 2*h, 14 = 4*w - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3e91db (base 15) to base 3\nAnswer: 12200022110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 920*s + 2*s**3 + 888*s + 2*s**2 - 5 to the form h*s**3 + y*s**2 + b + c*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2449969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -608*z**3 + 3*z**2 - 244*z - 935. What is the hundreds digit of a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 2.7 in decreasing order.\nAnswer: 2.7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1.7 (c) 1\/5 (d) 199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/15 - 7*s**3\/6 - 2*s**2 + 50*s. Let v(b) be the second derivative of t(b). Let g(y) = -y**2. Give v(g(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1237*a + 1473*a - 4246008 - 12414648. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 79. Suppose -2*d - w = -f, -d = 4*d - 15. Let l = f - 27. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -223. Find the common denominator of (-6)\/(-20)*375\/6 and (-10)\/15 - h\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 9:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*26.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b + 14. Let z(d) = -14*d - 13. Let t(o) = -4*n(o) - 3*z(o). Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 5. Let y(u) = 206*u**2 - u. Calculate y(h(r)).\nAnswer: 1854*r**2 - 6177*r + 5145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**5 - f**5 - f**5)*(426 - 222 - 223).\nAnswer: 38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w = -56*w + 155*w + 561. Let p(j) = j + 5. Let d(n) = -6*n - 26. Let h = 5 - 7. What is h*d(t) + w*p(t)?\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + 5*n**2 + 74759*n**3 + 3*n**2.\nAnswer: 74759*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 245.3739t?\nAnswer: 245373900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Let s be (1\/u)\/(1\/18). Calculate the remainder when 19 is divided by 0 - (-3 - s - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 8*t**2 - 12*t**2 - 2*t**2 + 31*t**2 as w*t + y*t**2 + m and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.97. Which is bigger: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:23 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + h**2 - h - 1. Let s be q(-1). Suppose s*k + 63 = 7*k. Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010011 (base 2) to base 11\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.2 (c) 8 (d) 3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 6. Is 10 a factor of 76\/i + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - -1 - 19. Let w = 46 + j. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 332. Let s = 491 - a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 56*p + 230 = 0. What is p?\nAnswer: -23, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 + 2*m**2 + 29*m - 78. Let r be h(3). Calculate the remainder when (-36)\/r + 367\/9 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*z + 2506*z - 134 + 1333*z + 61 + 73.\nAnswer: 3542*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*q + 26 + 13*q**4 - 2*q - 10 wrt q?\nAnswer: 52*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 + (-833)\/((-1)\/1) is divided by 412.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3507103 - 3507103 - 1851*n.\nAnswer: -1851*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5 and 157\/6942.\nAnswer: 34710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from gggbgnnngnbgbbpn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 328\/(-10) + 3 + -2. Suppose 2*i + 26 = -38. Let u = m - i. Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(110)\/(sqrt(30)\/sqrt(3)) - sqrt(11)) - sqrt(66)\/(sqrt(6) + sqrt(672)\/sqrt(7)))*-3.\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/(2\/(-4)). Suppose -27 = -2*q - 5*k, -r = -0*k + 3*k. Are 16 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303.03 + -1.97. Let s = r + 308. Which is the nearest to -1? (a) -4 (b) s (c) -2\/5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 - -0.2. Put 68, v, -4 in descending order.\nAnswer: 68, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127358, 254720, 382082, 509444, 636806?\n\"Answer: 127362*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 31. Let t be 2\/9 + 21\/x. Suppose -n = -2*a - 4 - 2, -4*a - 28 = 2*n. Sort -3, n, t in ascending order.\nAnswer: n, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -42. Let d(a) = 3*a**2 - 10*a + 9. Let f(i) = -2*i**2 + 5*i - 5. Let y(x) = v*f(x) - 4*d(x). What is y(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*r = -2, 5*r = 5*p + r - 10. Suppose -3*j + 8 = -2*k, 9*j - 4*j - 16 = p*k. What is the tens digit of -69*(2 + (-12)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136340281 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p + 6. Suppose x = -p + 11. Differentiate -4*j + j - 30 + x with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.034 + 0.434. What is the closest to 2\/5 in 3, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231408 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, 3\/7, -2\/17, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -210101 (base 4) in base 15?\nAnswer: -a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*f - d, -3*f + 0*f + d = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 39*q + 140. What is p(34)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c. Let k(f) = -f**2 - f - 3. Let w be k(c). Let p(v) = -3*v + 31. Let s be p(12). Put 6, s, w in decreasing order.\nAnswer: 6, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23663\/8 + 2963. Calculate the common denominator of u and 192\/(-24) - 4\/9*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2134 and 97.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000152344576 to 7 dps.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/5 and 43\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 2, 14 in ascending order.\nAnswer: -5, -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5\/2 + 3*g**4 - 3*g**3\/2.\nAnswer: -3*g**3*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1425 + -1411. What is the remainder when 33 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10918 and 480392?\nAnswer: 480392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 23*q**2 - 49*q + 231. Give d(-25).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*i + 2)*(-1 + 5 - 2) + (-5 + 0 + 3)*(0*i + 2*i + 0*i) to the form h + u*i and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -30 - -39 - (8 - -1). Suppose 2*z - 3*i + 2 = g, 13*z - 18*z = -3*i - 4. Factor 3 - 1\/4*a**3 - 1\/4*a**2 + z*a.\nAnswer: -(a - 3)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:46 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 3\/4*u + 5\/16*u**2 + 39 - 1\/32*u**4 - 1\/12*u**3. Solve i(r) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w - 5. Let t = -29 + 27. Calculate the remainder when 29 is divided by z(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -2\/3, -2, -4, 38, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43119 - 21022 = -111*n + 20210 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 1170.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.003 (b) 13 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) - (-636)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/12)\/(2\/(-12)). Let r be (-2 + 23)\/((-3)\/v). Let o = 8 + r. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o + 4. Suppose -3*y = -z - 2160032, -o*z = 6 + 4. Suppose 0 = -r - 4*r - 5*a - y, -a - 2 = 0. What is r rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.105637ns to seconds.\nAnswer: 0.000000007105637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -33\/125 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*t. Let p(d) = 2 - 7*d**t - 7 + 6. Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 482.5, 912, 5 in descending order.\nAnswer: 912, 482.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a litre in millilitres?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122215 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(1*(-10)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 6826*r**3 - 5*r**2 + 3 - 6828*r**3 - 15*r to p*r**3 + v + m*r**2 + d*r and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93*(-132)\/2046)\/(492\/2).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2615045 - 1307729 - 37*j - 1307316.\nAnswer: -37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.99 + 9. Let q = 7.3 - 7. Let d = q - 0.4. Are m and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1.66, -5\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3618903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**3 - 34*o**2 - 37*o - 7. Give h(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 8. Let k be u(7). Let o(x) be the first derivative of 68 + 0*x + 2*x**3 - 1\/2*x**2 + 1\/4*x**4. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2860 = -2*c - 1545, -5*b + 4*c + 22019 = 0. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 30. Suppose -2*p - 2*p + 22 = -2*g, -3*p = -5*g - c. Suppose -2*q = -p*q + 104. Calculate the remainder when 102 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 59*w**3 + 468*w - 242*w - 226*w.\nAnswer: 59*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -86 + 9536\/(-256)*-4\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187467557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q**3 - 7*q**2 + 5*q - 10. Let r(s) = 32*s**3 + 10*s**2 - 7*s + 15. Determine -5*r(a) - 7*z(a).\nAnswer: -20*a**3 - a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + -1 + 4*(sqrt(720) - (-1 + sqrt(720)))*-1)*-4)**2.\nAnswer: 12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1755?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54260 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26337391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 1)\/((-15)\/(-257895)) + (37 - 36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 208 (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 8*l**2 - 14*l + 57. Calculate u(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1490, 3163, 4836, 6509?\n\"Answer: 1673*z - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 10. Suppose 3*z - 3 = s. Suppose 1 = z*q - 27. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*b - 9277*u + 9278*u, 3*b - 5*u = -0*u + 15 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -856, -849, -830, -793, -732, -641, -514?\n\"Answer: c**3 - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x + 284 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {g: 8, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29994929 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - g + 1 + 32*g**2 + 8*g**3 - 111*g**2 + 72*g**2 to the form c*g + q*g**3 + o*g**2 + b*g**4 + n and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/720 + 3*i**5\/20 + 13*i**4\/24 - 2*i**3\/3 - 137*i**2. Let d(c) be the second derivative of g(c). Give d(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-2*sqrt(1584) - sqrt(1584)) + -3)*3 + -5*-2*sqrt(1584) + -5)**2.\nAnswer: -336*sqrt(11) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, n: 9}. Give prob of picking 1 g and 3 n.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 128, 68, -148, -574, -1264, -2272, -3652?\nAnswer: -5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*a*k**3 - 180*a - k**2 wrt k?\nAnswer: -660*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1900, -3798, -5694, -7588?\n\"Answer: f**2 - 1901*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-20)\/(-640)*24).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 1. Suppose -b + 3 + 1 = 0. Let q(l) = l**3 + 2*l**3 + l**b - 8*l**3 + 7. Let o(x) = q(x) + 5*w(x). What is the first derivative of o(i) wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:51 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15480725 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/45*(26\/12 - 2). Let j be (2\/(-3))\/((-1)\/42). Let k be 1\/j - (-1)\/4. Which is the closest to 1? (a) k (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 4 = 0. Suppose -7*n + 4*d + 476 = -s*n, -2*d + 962 = 4*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143040 is divided by 1343.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 56 = 4*y, -4*i + 79 = y + 4*y. Let k(d) = d**3 - 4*d**2 + 3*d + 4. Let l be k(3). Suppose y = -n + l*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -720793042988 - -720793043305.999999649. Let h = z + -318. Round h to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Let s = 3 + -1. Let n(i) = 0*i**2 + s*i**2 + 0*i**2. What is p(n(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 29*d + 13. Let j(r) = 14*r + 6. Let p(c) = 9*j(c) - 4*x(c). Let u(w) be the second derivative of w**3\/6 - 40*w + 17. Give p(s) - 5*u(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4497, 4626, 4755, 4884, 5013?\n\"Answer: 129*m + 4368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(36) - sqrt(576)*2)\/(sqrt(36)\/(sqrt(240)\/sqrt(5))).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 8.279298669627?\nAnswer: 8.579298669627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -1\/18 (b) -7 (c) 1 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**3\/3 - 5*x**2 + 9*x - 5626. Give k(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13\/18, 0.1 in descending order.\nAnswer: 13\/18, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29471, -29627, -29887, -30251, -30719, -31291, -31967?\n\"Answer: -52*y**2 - 29419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/l**(-1\/4))\/l*l))\/(l\/l**(-5\/4))*(l\/l**(-1\/10))\/l*l*l*l**7 assuming l is positive.\nAnswer: l**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, 370, -552.\nAnswer: -552, -0.06, 5, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 103209466 + 23126673 = -5*b, b = 2*o + 53388531. Let g = o - -18634266. Round g to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 5, u: 1, m: 5}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60803167 is divided by 15200789.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 17 = -5*b, 2*d + 2*b + 11 = b. Let r(p) be the first derivative of p**3\/3 + 3*p**2 - p - 1. Let y be r(d). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*u - 30. Suppose -u = l + 14. Calculate the common denominator of 40\/60*(-12)\/(-14) and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + ((sqrt(225) - 2*sqrt(225)) + sqrt(225))\/sqrt(5))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 - 2738*r + 431760 = 0. What is r?\nAnswer: 168, 2570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 151 + (7 - 4) + 2 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48216 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 42. Let a(j) be the second derivative of c*j**3 - 4*j + 0*j**4 - 1\/4*j**5 + 0 - 5\/2*j**2. Differentiate a(k) wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1566, 1572, 1588, 1620, 1674, 1756?\n\"Answer: j**3 - j**2 + 2*j + 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 6.98. Let w = 0.977 - -0.353. Let x = -2.33 + w. What is the second biggest value in x, -0.3, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*i + 52*i - 470 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-23051)\/1246)\/(((276\/72)\/(-23))\/(4\/6))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -914 + 1169. Suppose -257 = -v - n. Factor 6\/19*d - 2\/19*d**3 + 4\/19*d**v + 0.\nAnswer: -2*d*(d - 3)*(d + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15610000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-7)))\/(x\/x**5))\/(x**1)**46)**(-44) assuming x is positive.\nAnswer: x**2156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*-4.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*z - 2*y, 1437*z + 3*y = 1448*z - 168 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -942947, -942897, -942843, -942785?\nAnswer: -942723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 8*i + 4*k - 59 - 16 + 24, -4*i - 4*i = -k - 93 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 36 = 3*c, -13*c = -12*c + 2*i + 12 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**2 + o - 4. Let u(b) be the second derivative of -b**3\/6 + b**2\/2 + 6*b - 1. Give k(f) + u(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -81. Suppose -c = 2*d - 107. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -5*p + 24, 2*a - 2*p = -12. Let q be (-2)\/(-1 - -2) - a. Suppose q = 4*w - 7 - 25. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -7) + -2 + -3 + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose 5*j - 46 = -s - 3*s, -2*s = -f*j - 14. Calculate the remainder when 15 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 46) + 23 + -25 + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by (-1196)\/(-10) + (-7 - -6) - (-6)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47432 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261520 by 7.\nAnswer: -37360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhpp when four letters picked without replacement from phhpphh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -12 + 34 + -3 + (-1 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -91. Let f(z) = -2*z - 3. Let k(r) = -r - 2. Let g(n) = -3*f(n) + 4*k(n). What is g(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (sqrt(66) - -6*sqrt(66)*-2)\/(-3*sqrt(6)*2).\nAnswer: 11*sqrt(11)\/6 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-1\/8)*o*o**(6\/5)*o*(o*o*(((o\/(o**(2\/9)*o))\/o)\/o)\/o)\/o**13 assuming o is positive.\nAnswer: o**(-3203\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, -0.04 in descending order.\nAnswer: 5, -0.04, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 5*i + 4. Suppose 4*x = 9*x. Let a be (x + -2 - -1) + -5. Give d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(38 - 20*o - 15 - 19).\nAnswer: -40*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062 plus 3?\nAnswer: 3.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -363 (b) -0.5 (c) 0.051158 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - 133. Let l = -96 - i. Calculate the greatest common divisor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + 35. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*q + 17*q**2 - 96 + 192 - 96 + 230*q to the form i + a*q + h*q**2 and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 4*o - 156\/5.\nAnswer: (o - 26)*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11801\/4 - 2927. Let l(b) = 9*b + 139. What is the common denominator of i and l(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/10 - 255\/(-850).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*p = -0*n - 4*n + 2648, 4*n - 3*p = -5*p - 40 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/25 + (-4 - 121\/(-30)). What is the fourth biggest value in 0.07, -1\/2, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Suppose i = -4*u - 2*u + 6. Solve 2 = d - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 704 and 1640072.\nAnswer: 144326336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 + 201508*x - 201504 = 0.\nAnswer: 1, 50376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 6*u - 3. Let a be r(7). Suppose -a*f - 78 = -10. Let t = 20 + f. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6*(-3)\/(-63) + (-243)\/(-7) + 1 and 1456.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from dddx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16997 - 13766. What are the prime factors of v?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1*l*l\/l**(-1\/2)*(l*l**(-3\/2)\/l)**(-5))**(1\/6) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 185.2, -1023?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48561266, -48561265, -48561264, -48561263, -48561262?\n\"Answer: x - 48561267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197153 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 287060718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -2\/7, -2\/13, -13, -24.25?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - -336.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49176.48 millennia in decades?\nAnswer: 4917648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5\/3, -1585.9, 7 in descending order.\nAnswer: 7, 5\/3, 0, -4, -1585.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a. Let l(g) = 2*g + 0*g - 3*g. Let u(o) = -o**2 + 9*o - 1. Let j be u(9). Let d = 7 + j. Calculate d*l(b) + k(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:58 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - -4. Let u = -69 + h. Solve -3*v - 3*i = 3, u*v - 2*i + 2 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -91.8506, -1\/5, 0.2 in decreasing order.\nAnswer: 0.2, -1\/5, -91.8506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8 and 29\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003 + -13220313?\nAnswer: -13221321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 206902 - 323098 = 0. Round d to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*m = -77, -106 = i - 6*i + 3*m. What is the greatest common factor of 115 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7754989, 15509974, 23264959?\nAnswer: 31019944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 11 = 11*s - 15*s, -11 = -s + 4*n for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.888 + -0.032. What is k rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 290745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721, -717, -719, -727, -741?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 7. Suppose 3*r - n = 12. What is the third derivative of 5*k**4 + 6*k**2 - r*k**2 - k**2 wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8\/(p*(p\/(p**(-1)*p))\/p) assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/78300 and 191\/930.\nAnswer: 2427300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(18)\/(sqrt(3) + sqrt(3)*-3) + sqrt(6)))**2 + ((sqrt(18)*1)\/sqrt(6) + 0)**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/9)\/(s**(4\/5)\/s) assuming s is positive.\nAnswer: s**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {d: 6, a: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 29*d - 57. Let q be t(3). Let x be (-33)\/(-9) + 10\/q. Solve -7*c - x = -11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3136 and -31\/217056.\nAnswer: 3038784","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -9623\/124 + -888\/31. Let i = w - -323\/4. Which is bigger: i or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = 36. Suppose 3*q - 3 = x. Let u(c) = c**2 - 8*c + 7. Let t be u(7). Solve 3*w - 3*z = 3, q*w - 2*z + t*z = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14310 and 42930.\nAnswer: 42930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/3 + -32\/9. Sort c, 1, 5, 3\/2 in ascending order.\nAnswer: c, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11744.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*m + 543*m = -598*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*p**5 + p**3 + 99*p.\nAnswer: -2420*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2383866 = -3*f, 38*u - 37*u - 794636 = 3*f. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - 5128093277.08?\nAnswer: -5128093276.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-108 - 0) + -634 + 661 + -15\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -65*d**3 - 84763*d**2 - 3929*d - 22168. Calculate a(-1304).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 878 = 442. Calculate the greatest common divisor of 33 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/922 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -4205.\nAnswer: -4205, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 92*i**2. Let j(p) = -1517*p**2. What is 5*j(s) + 82*l(s)?\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipnnvpvvvn. Give prob of sequence nnip.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051785?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1975*q = -1985*q + 160 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389158 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i - 4*i + i)*(-63*i**2 + 36*i**2 + 36*i**2)*(-3 + 0 + 1).\nAnswer: 234*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -112. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 415 = 3*l - q, -419 = -3*l - 5*q. What is l rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1589)\/454 - 3\/2*26\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390920 and 4466?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 1, x: 2, w: 1, r: 1, y: 1}. What is prob of picking 1 x, 1 r, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3761, 7507, 11233, 14939, 18625, 22291, 25937?\n\"Answer: -10*l**2 + 3776*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 23. Solve -r*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from eelelelleeeellellele?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5005426910 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451.7 - -455. Let a = -116.3 + 99. Let o = a + d. Is 0.1 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1416\/3343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 12*y**2 + 39*y - 5. What is the units digit of r(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 69*j**3 - 142*j**3 + j**2)*(0 + 2 - 3).\nAnswer: 73*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times 48.986?\nAnswer: 2106.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -27*n**3 - n**2 + n. Let b be q(-1). List the prime factors of b\/(-6)*18\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -45. Suppose 2*m - 4*m + 10 = 0. Suppose -m*t = -3*t - 22. What is the remainder when b is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*c - 22*c**2 + 39*c - 118*c + 24*c**2 - 45*c to w + r*c + k*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 987262.8 to the nearest 10000.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/7 + 6*c**3\/7 - 5*c**2\/7 = 0. What is c?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:34 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-16)*(-22)\/12 and 10 - 6 - (222\/120 + 4).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l**2 + l. Let x(o) = -8*o**3 - 5*o**2 + 4*o - 1. Let n(t) = -5*h(t) + x(t). What is the tens digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320260 take away -104?\nAnswer: 320364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let p = 1654 + -1649. What is the closest to p in l, 1\/4, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 349 + 2?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 151 = 28. Suppose -32 = -d*s + 25*s. Solve 2 = 2*w - s*z - 2, -w + 5 = -2*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Suppose -25 = -d*p + 85. Suppose -p = y - 102. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1583868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16\/400 + (-4207)\/175\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = j, -2*d + 12 = -d - 3*j. Suppose 4*f = -2*a - d, 5*a + 2 = 2*f - 7. Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 839034.\nAnswer: 839034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/(21\/15). Suppose -4*s - 5*t + 0 = -5, 0 = -4*t + 20. Let r = -2 - -2.1. Which is the closest to y? (a) -2 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 - 4. Suppose -72*b + 40 = -62*b. Let i(j) = -16*j**2 - 7. Determine b*i(d) - 7*w(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbkbqqqqkgqqvqbbkrr. What is prob of picking 1 b, 1 v, and 2 k?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112121413 (base 5) to base 16.\nAnswer: -7b320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 227, 870, 1897, 3278, 4983, 6982, 9245?\n\"Answer: -5*k**3 + 222*k**2 + 12*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 676616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32504, 65006, 97508, 130010, 162512, 195014?\nAnswer: 227516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2 (c) -2 (d) 1 (e) 2\/675\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498 - 273. Calculate the highest common divisor of t and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**3 + b**2)*(-41 + 41 + 11*b) + (3*b**2 + 3*b**2 - 7*b**2)*(2*b**2 - 2*b**2 - b**2) + 0*b**2 + 0*b**2 + 3*b**4.\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p - 12. Let y be a(8). Find the common denominator of 204\/y + (1 - 1) and (-6)\/3 - (-5 + 304\/36).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-40) + -1)*-5. Solve -5*t - s = 2*u - 4, 4*u = -t + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -25*a**6\/2 - 2*a**5\/5 - 8*a**3 + a - 158. Find the third derivative of m(t) wrt t.\nAnswer: -4500*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411012131 (base 5) to base 6.\nAnswer: 55304022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 2*d**2 - 3*d. Let l(c) = -2*c**2 - 3*c**2 + c**2. Determine g(l(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**5 + 550*u**4 - 22220*u**3 + 382280*u**2 - 2074240*u - 5864320 = 0. Calculate u.\nAnswer: -2, 22, 28, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 0, 6 in descending order.\nAnswer: 196, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9103837 divided by -2.\nAnswer: -9103837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 20316226?\nAnswer: 40632452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b + 2. Let x be o(-5). Suppose 27 = x*h + 21. Let u(n) = n**3 + 2*n - 1. Let w be u(1). Solve 5*f + 6 = -5*p + p, -p - h*f + w = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 12474 = 24288. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33522 and 2664?\nAnswer: 402264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-32 + 6840\/192)*-8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookkkrwoofom. What is prob of sequence wrkm?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 263. Let t(l) = l + 8. What is -o(y) + 3*t(y)?\nAnswer: y - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w + 4*w + 43*w**6 + 14*w**2 - 8*w wrt w.\nAnswer: 5160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, h: 3, p: 2}. Give prob of picking 2 p and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10888667 (base 9) to base 6.\nAnswer: 305522524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (166276\/110)\/((-1)\/10). What is x rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257851932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nns when three letters picked without replacement from {s: 3, n: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16005, 31942, 47773, 63444, 78901, 94090, 108957?\n\"Answer: -9*a**3 + a**2 + 15997*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65352 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174028 is divided by 478?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 604868890 * -0.1.\nAnswer: -60486889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 5:27 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47575*u**5 - 1283*u**2 - 9546231*u wrt u.\nAnswer: -951500*u**3 - 2566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**3 + 4*g**2 + 12*g + 5. Determine f(-2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 19*u - 12*u + 78 + 4*u - 10.\nAnswer: -27*u + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/81)\/((-1028)\/(-222048)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830693?\nAnswer: 830693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11572173.\nAnswer: 3, 67, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 35*s**2 + 71*s - 68. Let c be q(-31). Find the common denominator of -83\/75 and (-8415)\/c + 12\/2.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 2)*(-522 - 36*k - 29*k - 17*k + 520) to the form i*k + q and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 104658\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-9))\/(2\/3). Let y be (-2)\/p + 6\/15. Let n be y*((-21)\/(-6))\/(-7). Solve -q - 5 = n, w - q = 2*q + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdy when three letters picked without replacement from ydcjpjdpbddj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11104, -22210, -33316?\nAnswer: -44422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 27*o + 53. Calculate m(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-10 - -7 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4185308 + 4185308 + 821*n**3 - 799*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -30\/361 (c) 8\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, 64, 203, 290, 307, 236, 59, -242?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338265 is divided by 2939.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*a - 596*a + 124*a + 128*a + 116*a + 115*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78 and -1.1322.\nAnswer: -88.3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/120 + j**5\/15 - 2*j**4\/3 - 32*j**3\/3 + 3*j**2 + 304*j. Solve d(n) = 0 for n.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.246876 months in millennia?\nAnswer: 0.002020573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 866*h - 26*h**2 + 736*h + 871*h - 2471*h - 22*h**2.\nAnswer: -48*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50224 + 32*j**3 + 50324 + 23*j**2 + 4*j**4 + j**2 - 160*j.\nAnswer: 4*(j - 1)**2*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 5*p - 4*p)*(-2*p + 13 - 5 + 6).\nAnswer: 18*p**2 - 126*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 11975445?\nAnswer: -27543523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684113529 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -193\/226, -0.227 in ascending order.\nAnswer: -193\/226, -0.227, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 14. Let y = 11 + h. Suppose 2*l - 4*l = -y*b - 22, 5*l + 5*b - 40 = 0. Solve l*d - 4*d = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 105150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:03 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:59 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 45. Sort -2\/19, j, -3, -0.4 in increasing order.\nAnswer: -3, -0.4, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 918*p + 916*p + 15 = 0, 135 = -27*z - 4*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584411 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g - 6648 = -3*k + 95*g, 3*g + 2202 = k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -129.58 from 0.\nAnswer: 129.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17.3. Let x = -1 + r. Let b(f) = 2*f - 11. Let o be b(8). What is the closest to 0 in x, 0.4, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3683636 and 3683635 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -2.47 (c) 3 (d) 2 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0.1, 44\/5, 29114?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7447844 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 2584. Let g be 6*7\/(-126)*(1 - -446). Let f = g - v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15000*h. Let k = 21 + -16. Let r = -3 + k. Let b be x(r). What is b rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*w + 2*f - 558, -5*f + 126 = -w. Let x = 149 + w. What is the least common multiple of x and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 9*a**2 - 12. Let u(c) = -2*c**3 - 7*c**2 + 11. Let b(j) = -6*q(j) - 7*u(j). Let o(f) = -33*f**3 + 21*f**2 + 21. Give -21*b(x) - 5*o(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-4 + 2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2718, -12249, -28136, -50379?\nAnswer: -78978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 10369*n + 825385. Give c(-79).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 + 4*g - 4*g + 9 + 0*g + 2*g. Let c be l(-6). Let j be c + (-32)\/(-4) + -3. Solve 5*b - 14 - 6 = -5*t, 3 = j*t + b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.7337 to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s - 397. Let b be f(-28). Let z = 519 + b. Solve 7*u = 5*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) -22 (b) 141 (c) -0.1 (d) -3 (e) -4 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246087.\nAnswer: 3, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -289695575 divided by -13\nAnswer: 22284275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 14. Let v(d) = 4*d + 28. Let w be v(-6). Suppose 3*t = w*t - y. Solve t = -5*a + 23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 4*x + 38. What is y(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6) + (-1)\/2. Let b(h) = 7561 + 7694 + h - h**3 - 15236. Determine b(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*c - 0*g, 6 = -2*c + 2*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -112. What is the nearest to -1 in -2, -1.7, i?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23.12 (b) -2 (c) 0.5 (d) -0.4 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4 - 2. Suppose m*l - 7 + 3 = 0. Find the third derivative of -33*v**2 + 0*v + 16*v**6 + 0*v + 42*v**l wrt v.\nAnswer: 1920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 + -14 + -39 + (-24 - -59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6)*-1)\/(325\/26 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(5*(2 + sqrt(1872) - sqrt(1872)) + sqrt(1872)) - ((6*(sqrt(1872) + (sqrt(1872) - sqrt(1872)*-2)) - sqrt(1872)) + -1 + sqrt(1872) + 0))**2.\nAnswer: -4959078 + 93744*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.34475 millimeters to kilometers.\nAnswer: 0.00009934475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -617200\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7824834 months?\nAnswer: 0.00006520695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15289329 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i*i*i\/(i*i\/i**(2\/7)*i)*i)*i*i)*i))**(3\/38)*i**(-16)*i**(-1\/4) assuming i is positive.\nAnswer: i**(-8573\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2\/55, 0.1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.76.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 313 * 0.69\nAnswer: 215.97","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Round -62091963 to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 7292011?\nAnswer: 7292011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001803 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 49. Suppose -6 = m + 5*a - 43, -4*m = -a - 106. Let l = k + m. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 1712*b**2 + 62*b + 52994. What is y(-856)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 1, s: 1, w: 1, x: 2, f: 1}. What is prob of picking 1 w, 1 s, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*z + 9, 3*s + 2*z = z - 3. Suppose s = -h - 3*h + 12. Solve 0 = -5*i - 13 + h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbbb when four letters picked without replacement from {b: 17, k: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2012 is divided by 49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 2, 130, -2\/3 in descending order.\nAnswer: 130, 2, -2\/9, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(2205) + (sqrt(2205)*-1 - sqrt(2205)) + sqrt(2205))*4)**2 - 3*(sqrt(5445)*1 + sqrt(5445) + sqrt(45) + sqrt(45))\/sqrt(9))*-1.\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.7 and 98716788810.\nAnswer: 98716788822.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 9 = 25*m + 9. Let g(f) = f**3 + 2*f**2 - 2*f + 2. What is g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*h + (-6 + 1 + 0)*(-h + h - 3*h))*(-5*h + 5*h - 2*h) as t*h**2 + v + p*h and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 99 (c) 3\/5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let n(o) = o + 2 + 0 - 4*o**2 + 3*o**2 - 6. Determine n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*d*r**2*z + d*r*z**2 + 480*d*r*z + 7*d*z**2 - r**2*z**2 - 3*r**2*z wrt r?\nAnswer: -12*d*z - 2*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 914, 2234, 4082, 6458?\nAnswer: 9362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6*v - 19852254*s**6 + 5954*s**2*v - 2*s**2 - 27*s*v + 2*s + v wrt s.\nAnswer: -240*s**3*v - 2382270480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j + n + 34, -2*n = 2. Let l be 10\/2*(-4)\/j. Suppose 3*a - 8*a = -3*c + 302, -2*c + l*a + 200 = 0. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6336 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2916301293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 25*t + 124. Give c(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5714 - -6094. Calculate the remainder when d is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*6\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0348963 to 4 dps.\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 - 10*x + 6. Does 13 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 7 (c) -57 (d) 1\/4 (e) 0.039 (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 2*f + 1. Let c be i(-3). Let s = c - -180. Let m = -57 + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 > -184\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*j - j. Let v be 3 + j + -3 + 0. Let o = 4 + -3. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7665 divided by -1\nAnswer: -7665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 5*v**2 - 29*v - 82. What is l(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 4 = -3*i + 7*w, -12*w + 4 + 4 = -4*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7518.102 litres to millilitres.\nAnswer: 7518102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2856 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = m - 18 + 43, 0 = -5*g + 4*m + 10. Let l(r) = -r**2 + 7*r - 1. Let y be l(g). Suppose 4*t - 7 = y, -t + 13 = 5*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2 - 1, 29 = 5*q + 4*o. Suppose x + 3*w = 7 - 2, 0 = -3*x + q*w + 85. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/19)\/c)\/(c\/c**(-3\/4)*c) assuming c is positive.\nAnswer: c**(-281\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 840647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 42, 56, -143, 2\/9, -5, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = 18*r + 4*b - 11, 0 = -5*r - 3*b + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, -3, -5, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 188.\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 501 = z, -2442*z + 4 = -2446*z. Which is smaller: y or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5845883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*h - g, 0 = 2*h - h + g - 14. Let p = h - 13. Find o such that -3*o**p - 6 + 2 + 0*o**2 + 10*o**2 - 3*o**2 - o**5 + o**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2797287349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 - 16)*(335*q - 335*q - 253*q**4) to the form m*q**3 + g + z*q + v*q**4 + h*q**2 and give v.\nAnswer: 5819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8336796 divided by -38\nAnswer: 4168398\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 2*z + 1. Let f(r) = -r**2 + r - 1. Let q(y) = -4*f(y) + p(y). Let x be q(4). Let c = x - 22. Is c 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 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -87 (b) 0.77 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 1819 + 220 + 483 + 470 + 790 + s.\nAnswer: s + 729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2, 0*g + 10 = -4*s + 2*g. Let d be (-6)\/(3\/2 + s). Solve -d*i = x - 16, 4 = x - 2*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 15) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 17 + 375 = 0. Let g = -58 - n. Which is greater: -8 or g?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1770904 divided by -2?\nAnswer: 885452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1811, -2\/15, 1\/4?\nAnswer: -0.1811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7894.876t to nanograms.\nAnswer: 7894876000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9 - m**2 + m**3 - m - 2 - 2*m**3. Let z be s(0). Let r(a) = 2*a - 5. Let d be r(z). Solve -6*c - d = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(208) + -2))**2.\nAnswer: -256*sqrt(13) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m**2 + 38*m - 4. Let k(u) = 3*u**2 - 2*u + 1. What is -4*k(b) - l(b)?\nAnswer: -b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1614 (base 9) to base 14.\nAnswer: 63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277385783.\nAnswer: 9239, 246497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**3 + 4*c**2 + 4. Suppose 4 = -z + w, -3*w - 5 = 1. Let b be 18\/21 - 255\/(-21). Let x(l) = 5*l**3 + 2*l**2 + 2. Give b*x(a) + z*j(a).\nAnswer: -a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 437121412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1238 + 1238.193. Which is the closest to -0.1? (a) -0.5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4652039, -4652034, -4652029, -4652024, -4652019, -4652014?\nAnswer: -4652009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -64. Let r = n + -19. Let l = r - 40.000018. Round l to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**4 + 2*g**5 + (g + g - g + 4 - 4*g - 4 + (6 - 6 + 4)*(-g + 0*g + 0*g) - 2*g + 0*g + 0*g - g - g + g)*(67*g**3 - 15*g**4 - 67*g**3).\nAnswer: 152*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + -356. Let l = 473 + y. Calculate the remainder when l is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -43*p**4 - 1266*p**3 - 1723*p**2 - 408*p - 46. Let z(u) = -2*u**4 + u**3 + u - 2. Let x(d) = 2*l(d) - 46*z(d). Find i such that x(i) = 0.\nAnswer: -1, -1\/3, 0, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13434444953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 7200*x - 7203*x + 6, 2*s = -3*x - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/5)*x)\/x**2)**9*x*x\/x**(1\/5)*x**(-3)*x*x*x**(1\/8)*(x**(-1\/6)\/x)\/x assuming x is positive.\nAnswer: x**(-581\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 141.71?\nAnswer: -2975.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73521270 and 2723010.\nAnswer: 73521270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 12*a + 28. Suppose 2*k + 8 = a. Let l(r) = r + 24. Let x(v) be the first derivative of 3*v - 1. What is k*l(j) - 24*x(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 y when four letters picked without replacement from yehhyhyyhheyyeyhhh.\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*g = 152, -4*g + g = -5*i + 736. What are the prime factors of i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1035 - -1030. Put 165, -3, -2, r in descending order.\nAnswer: 165, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -2 (c) 3\/553 (d) -5 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v - 45 = 17*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 710675439?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(5400\/168)*(-27)\/(-1449)?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674 (base 10) in base 3?\nAnswer: -20102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-11)\/60 + (-6)\/(-24)). Solve 3*d + q = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*n**4*s**3 - 25*n**4*s - 2*n*s**3 - 7*n - 2*s wrt n?\nAnswer: -204*n**2*s**3 - 300*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3156.\nAnswer: 1\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 2*p**6 + p**5\/5 + 803*p**2\/2 + 237*p + 2. Differentiate n(s) with respect to s.\nAnswer: 240*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/12 + 26*k**3\/9 - 128*k**2\/3 + 544*k\/3 - 725. Factor b(w).\nAnswer: (w - 4)**2*(w + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 92, 120, 148, 176?\n\"Answer: 28*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(0 - 4 + 3)*(0*a**4 + 3*a**4 + 0*a**4).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*x**3 + 6 + 183*x**3 + 131*x**3)*(-1 + 1 + 1).\nAnswer: 290*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.1, -43196, 51 in increasing order.\nAnswer: -43196, 2.1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 8. Let l(a) = -12 + 3 + a + 0*a - 6*a. Let d(h) = -h**3 - 5*h**2 - 6*h - 2. Let v be d(-4). Give v*r(m) - 5*l(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4175 - 4170. Solve -37 = 8*v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*r**2 + 843*r**2 + 64*r**2 + 2095*r**2.\nAnswer: 2886*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 9, 15 in decreasing order.\nAnswer: 15, 9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*i + 8, 3*s - 5 = -i + 6. Which is the second biggest value? (a) -18 (b) 0 (c) s (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.8 rounded to zero decimal places?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -11*b**5\/5 + 1307*b**4\/5 + 1119*b**3 + 7717*b**2\/5 + 3932*b\/5 + 492\/5 = 0?\nAnswer: -2, -1, -2\/11, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/7 - 116*i**3\/7 + 723*i**2\/7 - 1094*i\/7 + 488\/7 = 0. What is i?\nAnswer: -122, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - 3. Suppose -2*m + 0*m = 3*f - 375, -198 = -m - 5*f. Let q(h) = -183*h - 5*h**2 - 3 + m*h. What is 4*n(d) - 3*q(d)?\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 252 = 61*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.05, 41, 0.6, -0.3, 0, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**8\/336 + v**5\/30 + 2*v**2 + 11. Let r(b) be the second derivative of a(b). What is the third derivative of r(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -15. Let d(c) = 9*c**2 - 8*c + 1. Let l(f) = 8*f**2 - 7*f + 1. Calculate h*d(u) - 7*l(u).\nAnswer: -2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 206 (b) -3 (c) -2 (d) 40.5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Let h be (5\/(-2))\/(1\/2). Suppose 0 = -2*n + 26*n. Sort h, -4, g, n in decreasing order.\nAnswer: g, n, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7996*a**3*c**3 - 9*a**3*c*z - 366*a**3*z - 188202*a**2*c**3*z - 51*a**2*c**2*z - 3*a**2*c*z wrt a.\nAnswer: -47976*c**3 - 54*c*z - 2196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9131339, 18262668, 27393997?\nAnswer: 36525326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3 - k**3 + 7 + 16*k**2 - k - k + 2*k**3. Let a be y(-16). Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94478*g**2 - 131*g + 131*g + 19460*g**2 + 25128*g**2.\nAnswer: 139066*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/(-828))\/((-5)\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5061 and 2892.\nAnswer: 20244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j - 5. Let r(a) = 18*a**3 + 23*a**2 - 3*a + 14. Determine -3*p(u) - r(u).\nAnswer: -18*u**3 - 26*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399731825.\nAnswer: 5, 31, 515783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.436 from -566380.87484.\nAnswer: -566382.31084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1236*d**4 - 9*d**3 + 11*d - 31. Let i(l) = -619*l**4 - 5*l**3 + 6*l - 15. Let a(o) = -9*i(o) + 5*v(o). What is the second derivative of a(m) wrt m?\nAnswer: -7308*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:01 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.3 (b) -3 (c) 2\/11 (d) 0.07 (e) 0.29 (f) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxjxxxxxjxj. Give prob of sequence xxjj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-6) - (-36)\/27. Let i = f + 0. Let j = -9 - -61. Calculate the remainder when j is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/12 (b) 0.5 (c) -1\/7 (d) -0.1 (e) -53.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31621 - 32*l**3 - 213*l**3 + 31621.\nAnswer: -245*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6256035 weeks to seconds.\nAnswer: 378364.9968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/2)*k\/k**(-9))\/(k**(-17)\/k**(-8)))**(-46) assuming k is positive.\nAnswer: k**(-805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -64 - -68 - 67.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -4\/649, -3\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 38074000 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9902.06 + -9772. Let k = h - 133. Let j = k - 0.06. What is the third smallest value in 3, j, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:39 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let a(u) = u**2 + 6*u + 2. Let j be a(-7). Let m be 7\/j + 12\/54. Is x at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151233.4056 plus 0.2?\nAnswer: 151233.6056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 37*g - 29*g + 101*g - 24. What is the hundreds digit of b(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 bigger than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/12 + 9*i**3\/2 - 89*i**2\/2 - 4*i - 1691. Calculate h(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-16)\/(-4))\/(-96)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-30)\/(-105))\/((-1)\/(-569*7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 421?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.14. Let h = 1409727.1399917 - 1409727. Let t = h - d. What is t rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23767415, 23767429, 23767443, 23767457, 23767471?\nAnswer: 23767485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9614 by -11.\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1084a0 - 351?\nAnswer: -108831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08927 * 1.\nAnswer: -0.08927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -21. Let t(w) = -w**3 + 2*w**2 + 3*w. What is t(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2252*g - 59. Suppose -l - 4*f + 1 = -2*l, 5*f + 25 = -4*l. Is w(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 4. Let v be f(-5). Let x = 39 - v. Let m = -29 + x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 16*k = -76. Suppose k*m = -0*m - 2*p + 312, -4*m = -3*p - 332. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3476968*n + 6 = -5*q - 3476967*n, -3*n = 5*q + 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -214, -254.\nAnswer: -254, -214, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*u - 5. Find the common denominator of 53\/18 and ((-22)\/4)\/(u - -6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 13\/20 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*w = -2*k - 1, 7 = -k + 5*w. Let z(s) = 7*s - 8. Let i(t) = -14*t + 17. Let g(n) = k*i(n) - 5*z(n). Determine g(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335200 by 20.\nAnswer: 16760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 4*x - 6 - x**2 + 10*x**2 + 9*x**2 - x**3 - 5*x. Determine c(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3 = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*(sqrt(325) + -1) - (sqrt(325) + -1)*-1)**2 + (5*(sqrt(325)*-3 + sqrt(325) + -4))**2).\nAnswer: -123150 - 5250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 7. Suppose 5*j - 7 = 8. Suppose -t = j*t - c. Solve 0 = -t*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29953*q**4 - 329*q + 24?\nAnswer: -359436*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -90 (b) 0.4 (c) -11 (d) -0.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50\/241 - -10577\/3615. Let x be (1\/7737)\/(4\/533877). Let o = 2\/2579 - x. Find the common denominator of o and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005532 divided by 187?\nAnswer: 2005532\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - -5 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 561.5 (b) 5 (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + z + 481408, 119*g - 115*g - 5*z - 385097 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4 + 0*d - 3*d + d. Calculate the remainder when g(-5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*l + 1120*l**2 + 80*l**5 - 110*l**5 + 93 + 1400*l**3 + 114*l**5 + 75 - 808*l**4 = 0.\nAnswer: -1, 2\/7, 1\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 42, 37, 40, 57, 94, 157, 252?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3880*t**2 - 3888*t**2 - 3881*t**2 - 6*t**3 + 11649*t**2.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 + 2*p - 4. Calculate h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -14*c + 3. Suppose v - 4*l + 11 = 0, -7 = -2*v + 3*v - 3*l. Suppose 5*n = 0, -v*m + 5*n - 20 = -m. Put -1, m, c, -2 in decreasing order.\nAnswer: -1, -2, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28916, 115644, 260192, 462560, 722748?\n\"Answer: 28910*t**2 - 2*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h - 201 = 0. Suppose z - 77 = h. Find the common denominator of 850\/z - 6\/(-27) and -37\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 1426604660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31780*o**2 - 1053*o**2 + 2229*o**2.\nAnswer: -30604*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 8)*(1 - 2*j - 1)*(-j - 1 + 1).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24377537 (base 9) to base 4\nAnswer: -231132032332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/10*8\/(-3). Let y be -17*(155\/10 + 2\/r). Find the common denominator of -93\/16 and (-2)\/3 - y\/234.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4697, 7589, 10485, 13385, 16289, 19197?\nAnswer: 22109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11310 and 1806990.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -8*y - 2*y**2 + 1\/3*y**4 + 0*y**3 + 0. Let g(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 8100?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -19290.\nAnswer: -1\/19290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 - 2*d**2 - 25*d - 12. Let s(b) = 9*b**3 - b**2 - 25*b - 11. Let m(f) = -3*s(f) + 4*w(f). Factor m(v).\nAnswer: 5*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -31. Put -2\/7, z, 0.1 in descending order.\nAnswer: 0.1, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7249853 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03867819546 rounded to four dps?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t + 56*t - 3996 = 25*t. Solve t = 7*a + 9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1792, 3590, 5388, 7186, 8984, 10782?\n\"Answer: 1798*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 148.145+-59.29\nAnswer: 88.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b - 13 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 177723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:33 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104038 is divided by 51894?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1036 - 1020) + (349\/(-66))\/((-34)\/(-102)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -39.\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 12489767?\nAnswer: -12489772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1157329412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395421 is divided by 8787.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14950, -29880, -44806, -59728?\n\"Answer: 2*t**2 - 14936*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 21 + 5 = 4*l, 2*l = -4*g - 16. Let y(q) be the first derivative of 3 - 4\/3*q**3 + 4*q + l*q**2. Find the first derivative of y(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 962 and 9063002.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -m + 36. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-2\/33)\/n)\/n))\/((n\/n**5*n)\/n))\/(n**(-1\/3)*n*n*n**(1\/3)) assuming n is positive.\nAnswer: n**(167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-9) + 0 - 25\/(-24).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 8. Suppose 14 = 3*l + 4*p, 2*l = u*l - p - 4. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 5*w + w + (1 - 2 + 5)*(0 - 6 + 4*w + 4)*(2 + 23 + 25).\nAnswer: 801*w - 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -20*t**2 + 23*t - 72. Suppose 47*u - 63*u = -240. Let n be p(u). What is n rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648841313 take away -1?\nAnswer: -648841312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4 - 1)\/2. Suppose -2*u + 3*u = 5*j - 90, 5*j + 2*u - 90 = k. Calculate the highest common factor of j and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c + 51*c + 38*c**2 - 26*c.\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 40*w + 4*r - 1698 = 0, -2*w - 1700 = -2*r. Let f = 854 + w. Solve -3*s - s + 4 = -f*q, 0 = -5*s - q + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -39. Let c = -122 + 144. Let i be (-12)\/(5 - 11) - (0 - c). What is the highest common factor of i and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57881.\nAnswer: 57881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 + 78*u**2 - 102)*(-1 - 1 + 0 + (-5 + 2 + 2)*(3 + 4 - 5)) to the form o*u**2 + s*u + i and give o.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*((6*sqrt(117) - (sqrt(91) + 2*sqrt(91))\/sqrt(7)) + (5*sqrt(91) - sqrt(91))\/sqrt(7)*-6))**2.\nAnswer: 540*sqrt(13) + 37933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 9. Let n(u) = -2*u**2 + 47*u - 72. Let j be n(22). Determine v(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-4)*(27\/45)\/3*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.486 - 136.\nAnswer: -135.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 - (-2 + -5))) + (-242)\/(-55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -109425.\nAnswer: -109427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 219570520 a multiple of 2015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 34*d**2 + 45*d + 412. Give m(-33).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -88297329*r. Let w(f) = 2*f**2. Calculate w(i(b)).\nAnswer: 15592836617068482*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d + 0 + 5*d - 4. Let k be c(11). Suppose -16 = -4*m, -5*u - 2*m + 0*m + k = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - 12*m + 33 - 53 + (13 + 11 - 7)*(-3*m + 3*m - m).\nAnswer: -29*m + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**6*f*f**(-9)*(f**(-2\/11)\/f)**(-14))**(-2\/9))**(-29) assuming f is positive.\nAnswer: f**(754\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 665 - 17. Let x = c - 647. Which is smaller: x or -3\/46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024817349 to seven decimal places.\nAnswer: 0.0002482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + u - 2. Let n(t) = 2*t**2 - 5*t - 14. Calculate 4*d(v) + n(v).\nAnswer: -2*v**2 - v - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.31 - -0.59. Let c = -1.1 - m. Let s = -4 - c. What is the third biggest value in 4, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b**2 + 44063. Let c(a) = 6*a. What is p(c(m))?\nAnswer: 468*m**2 + 44063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q - 7. Let g be (-2*1\/2)\/(-1). Let c(p) = -p**3 + 0*p**2 - 2*p + 2*p**2 - g + 0*p + 0. Let d be c(2). Let i(s) = 4*s + 5. Give d*o(x) - 7*i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-35)*180\/(-108)*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 34411 (base 5) to base 16\nAnswer: 9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 18. Let d = -34 - h. Let p(r) = r**3 + 14*r**2 - 4*r + 26. List the prime factors of p(d).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30967964 to the power of 1\/2, to the nearest integer?\nAnswer: 5565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27153 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 2845796*j\/3 + 1012319359202\/3.\nAnswer: 2*(j - 711449)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4278.6 to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 2486?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/u**(2\/17)))**(-1\/28))**(-34))**(-7\/3))**16 assuming u is positive.\nAnswer: u**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6266*r**3 + 5907*r**2 wrt r.\nAnswer: -37596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 7326453 = -1962453. Round n to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 8 = -2*v. Let n = 0.0618 - 0.0618. Which is the second biggest value? (a) n (b) -1\/3 (c) v (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 61898 (b) -1 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, k: 1, g: 1, s: 1}. What is prob of sequence sg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 1. Let s be j(1). Let h(z) = s - 10*z + 39*z - 3. Calculate the remainder when 54 is divided by h(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -471, -2, -16.\nAnswer: -471, -16, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/1*0. Let f(n) = -n + 0 + 7 - n**3 + 0*n**3 + 6*n**2. Let t be f(6). Put o, t, 4 in increasing order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13003 = 294*v + 853*v + 32877 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -22. Let h = 41 - d. Let f = h - 7. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 10150718.\nAnswer: 33\/10150718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + -0.46. Let j = x - -0.3. Let v = 1.1 - 1. Which is the nearest to v? (a) j (b) 2\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -6\/1805 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5039, -10270, -15697, -21320, -27139, -33154?\n\"Answer: -98*x**2 - 4937*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 22 - h - 37)*((-1 + h + 1)*(1 + 1 - 4) - h - h - 6*h).\nAnswer: 10*h**2 + 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmmbc. What is prob of picking 1 b, 1 f, 1 m, and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -252102 - a5?\nAnswer: -2521a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9109 - 1?\nAnswer: 9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 5, -2\/245?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1378, -1388, -1404, -1426, -1454, -1488, -1528?\nAnswer: -1574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/35)\/((-18)\/(-45))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g**2 - 2*g + 1. Let v be w(1). Suppose 5*u - 93 = -v. What are the prime factors of u - (3 - 6)\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + 2 - -5*sqrt(112))*-6 - (sqrt(63)\/(sqrt(9) - sqrt(144)) + sqrt(35)\/sqrt(5)*1))**2.\nAnswer: 3328*sqrt(7) + 1212688\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from hyhooy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 41*f**3 - 8*f - 11. Let g(s) = -14*s**3 + 3*s + 4. Determine -11*g(j) - 4*r(j).\nAnswer: -10*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 164*p**2\/5 - 3666*p\/5 + 12168\/5.\nAnswer: -2*(p - 39)**2*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(22204\/(-183)))\/(2\/(-1270)*135\/(-36)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/1349380*19)\/((-7)\/(-140))?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:23 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let r = -5 + v. Let t = 9\/11 + -78\/55. Which is the second smallest value? (a) t (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.0768 - -0.0768. Which is the second smallest value? (a) 2.5 (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/7)\/(-9)*-44 + 6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4675667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in decades?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10986 and 10986?\nAnswer: 10986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/5 - 534*o**3\/5 - 64493*o**2\/5 + 1843632*o\/5 - 3425004\/5 = 0.\nAnswer: -279, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19963639*v + 12545131.\nAnswer: -19963639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5081406643?\nAnswer: 5081406643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - a + 56, -3*l - l + 3*a = -40. Let g = 8 - l. Let s = 12 + -16. Put s, g, -3 in descending order.\nAnswer: -3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22515 - 4544125?\nAnswer: -4521210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 4*d**2 + 3*d - 4. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 plus 97?\nAnswer: 94.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -233 times 5\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1463 + -1466. Let u(w) be the third derivative of -w**5\/60 + w**4\/24 + w**3\/3 + w**2. Let b(j) be the first derivative of u(j). Give b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2728402 to three dps.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/2)\/(-2))\/((-4)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*s**3 + 13*s**3 - 1 + 0*s + 2*s - 20*s**3 + 4*s.\nAnswer: 113*s**3 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*u + 42081 + 49964 = 1222*u - 21475 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*(-3 + 0). Suppose 215*c = 204*c + 11. Let s be w\/(c - -3*(-39747)\/119250). What is s rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 - (1 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(1872))**2 - 6*2*sqrt(13)*-2.\nAnswer: -96*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 - 2. Let o be -1 - (v - -1)\/(-1). Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) - -4*(sqrt(12) - sqrt(12)*-1)) - ((sqrt(153) + -3)*2)**2.\nAnswer: -648 + 649*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.23111*0.3\nAnswer: -0.069333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10319153 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6750*v + 13517. What is f(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3970\/159081?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + 1. Let n(r) = 870*r**3 + 4*r**2 + 4. Give -4*b(c) + n(c).\nAnswer: 874*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8900 = 7*d - 5*d, -3*o - 8864 = -2*d. List the prime factors of d.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127283587649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 5. Suppose 4*j - 10 = -2*o, -j + 4*o - 27 = -7. What is the units digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**19*(x**(-1))**(6\/13))**(-28) assuming x is positive.\nAnswer: x**(1897\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19\/3 (b) -0.01 (c) 3\/4 (d) 735 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -9\/494, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11726 times -5\nAnswer: -58630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300054 greater than 1300275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37 + -18.37. Let v = 351 - 350.9. Which is the closest to 0.1? (a) v (b) 2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 21680 = -0*o - 15557. What is the remainder when o is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w - w)*((-4 - 1 + 3)*(-10 - 1 - 1) + (-1 + 0 + 3)*(1 + 5 - 5) - 3 + 2 + 4) to the form g + t*w and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, i: 2, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 2952?\nAnswer: 2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12*(-6)\/72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 327 - -4a6b?\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = 6. Suppose -s = 3*c - c. Suppose 0 = 3*v + 9, -4*v = 4*z - 6*v + 10. What is the second smallest value in c, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 1\/5, 0, 117, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - 1 - (-8 - (2 - 31)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77522 - -16.7\nAnswer: 77538.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 2 + -2)*5. Solve 3*i - h*o - 28 = 0, -2*i = -5*i - 4*o - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 40 (b) 21 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3365724 and 808.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 695744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 2521 - 2*g**2 - 2*g + 2519 - 5041 to the form d + c*g + q*g**2 + k*g**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**6\/10 - 7*p**3\/2 + 19*p**2. Differentiate a(v) with respect to v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103364690 to the power of 1\/2, to the nearest integer?\nAnswer: 10167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/4)*p\/((p*p**(-16))\/p)*p*p*p\/(p\/(p*p*p**(-1\/6)))*(p*p**(-5))\/p assuming p is positive.\nAnswer: p**(181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -899\nAnswer: 44.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*u**5 - 79*u?\nAnswer: 3880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5016, -10070, -15150, -20250, -25364, -30486, -35610, -40730?\n\"Answer: m**3 - 19*m**2 - 5004*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 2*v. Suppose 3 = -v*l + 12. Let w(z) = 5*z**2 - 3*z - 16. Let u(d) = d**2 - d - 4. Let i(x) = -4*u(x) + w(x). What is i(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 112*k - 15. Let w be v(11). Suppose -1927 - w = 4*l. Let i be 8\/28 - l\/(-7). What is i rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -8, -17\/2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-45))\/(84\/42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7893025 and 4807.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 100*c**2 - 8*c + 11. What is the hundreds digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179205 less than or equal to -179207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7))\/y**(2\/9)*(y\/((y**(-1)*y)\/y))**(2\/41))\/((y\/y**1)**(2\/7)\/(y**(1\/2))**(-2\/3)) assuming y is positive.\nAnswer: y**(662\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4844)\/(-155008))\/(38\/32)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1255\/(-75) - -14 - (-5)\/1).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Let s be p(2). Let k(a) = -5*a**3 - 2*a**2 + 0*a + 7091 + 0*a - 7090. Calculate k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 2 + 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -598488126 < -598488125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 130 + 14?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 822222103*v**2 - 887894*v - 61?\nAnswer: 1644444206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l*l)**(2\/49)\/(l**(-6)*l\/l**(4\/5)) assuming l is positive.\nAnswer: l**(4313\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + m = -i - 31, 47 = -3*i - 5*m. Let o = i - -14. Solve -o*k + 3*p + 26 = 0, 3*p - 1 + 7 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c + 139*c**3 + 8*c + 8*c - 49*c.\nAnswer: 139*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3459*i*j - 62*i*q**2 + 21*i*q - 2*j*q**2 with respect to j.\nAnswer: -3459*i - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*d + 105*d**2 - 178*d - 200*d.\nAnswer: 105*d**2 - 58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0283390262 to 6 dps.\nAnswer: 0.028339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**6\/30 - u**5\/5 + u**4\/4 + 2*u**3\/3 - 2*u**2 + 52*u. Solve b(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11339.3 and 2.7824958?\nAnswer: 11342.0824958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11774 - -13014. What is the remainder when 2491 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 386245 - -303\nAnswer: 386548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -92774*t + 54. Let o be j(9). Is 3\/5 + o\/(-130) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d + 0 - 4*d**2 + 1\/3*d**3 - 1\/24*d**4 + 0*d**5 + 1\/120*d**6. Does 2 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = -5*f, 4*u - 3*u + 2*f + 17 = 0. Let a = u - -3. Let y = 7 + a. Solve -4*q = -q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285499 < -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.70568 or 3\/4?\nAnswer: -4.70568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 7. Suppose 7*p = 4*p + t. Suppose -4*k + 58 = p*q, -q + 4*k + 51 = -k. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-708)\/(-295)*(-6)\/4*-5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27187 + 25029 = -538*u + 20438 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230113441 - -14?\nAnswer: -230113422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (560\/(-120))\/(21\/(-32166)) and 16.\nAnswer: 28592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 2*g**2 + 2*g - 1. Suppose 0 = 4*o - q - 7, -o = -2*o + 5*q + 16. Let h be f(o). Put -0.4, 0, h in descending order.\nAnswer: h, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -5*a + 3*a - 20. Solve 9 = -4*x + 4*d + 5, -5*d + 19 = a*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/12 and 29\/122276.\nAnswer: 366828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.96. Let t = -3.04 - u. What is the second smallest value in 2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5536 and 865.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1682, 1684, 1686, 1688?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/300*(-70)\/(-28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204538000 rounded to the nearest 1000000?\nAnswer: 205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 24. Let u = 192.864 - n. What is u rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 - 8*c**4 + 1605 - 1651 + 6*c**4 in the form h*c + o*c**3 + w*c**2 + n*c**4 + t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/6)\/((-8)\/60). What is the third derivative of -6*q**4 - 4*q**2 + k*q**2 + 4*q**4 + q**2 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1006)\/(-4527)*(3\/(-2))\/1*(-12)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 0.01. Let a = 2.6 - 0.6. Let t = 1.6 - a. Sort j, 2\/7, t in ascending order.\nAnswer: t, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 - 8*x + 5. What is j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/4, 13.\nAnswer: 5\/4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2793668323 + 30.\nAnswer: 29.7206331677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/10 + 5*g**4\/6 + 11*g**3\/6 + 24*g**2 - 101*g - 1. What is the remainder when 65 is divided by f(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, -22, -4937 in decreasing order.\nAnswer: -22, -225, -4937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 7*a + 3. Let g be j(7). Suppose -g*r + 910 = -0*r + 4*w, 0 = 4*w - 16. Round r to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -397.001126 - -397. What is x rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*b + 7*b. Let c be ((-1)\/b*-1)\/((-17)\/51). Suppose -c*s + 0*s = -156. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -3\/7, -13 in descending order.\nAnswer: 59, -3\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -935*v + 1. Let f(x) = -933*x + 1. Calculate -5*f(q) + 6*m(q).\nAnswer: -945*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 + 1062. Suppose 0 = 10*f - 5911 + o. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = -25*y + 190 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 18. Let v be g(-13). Solve -v*o + o = -12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, -270, 3 in descending order.\nAnswer: 3, -2, -49, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38879, 38881, 38883, 38885, 38887, 38889?\n\"Answer: 2*b + 38877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 1, m: 4}. What is prob of sequence mn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5814166 and 1010?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 4*v. Let a = 6710 + -6711. Let h(p) = -p - 1. What is a*j(w) + 2*h(w)?\nAnswer: -4*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*(-5428360)\/19387.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 694021*k*l**2 - 2*k*r - 86*l**2*r + l**2 - 8*l*r - 13*l - 4*r + 3 wrt k.\nAnswer: 694021*l**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*f - 490*f + 56 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k**3 + 1 - 1 - k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/3*z + 32\/3*z**2 - 5\/3*z**3 - 14\/3.\nAnswer: -(z - 7)*(z + 1)*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y\/(y**(4\/3)*y))\/y)*y*y**(3\/5)*y*y**17*y**(2\/35) assuming y is positive.\nAnswer: y**(2309\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 - 2*v**2 + 4*v. Let u(j) = 6*j**3 + 3*j - j - 3*j**2 + 2*j + j. Let g(w) = 3*s(w) - 2*u(w). What is the second derivative of g(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5124980 and 51249800.\nAnswer: 51249800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-1950 - 19*i + 1950).\nAnswer: 95*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-4) + 2\/(-4). Let k = -35 + 37. What is the third derivative of -2*q**3 + 0*q**m + 0*q**3 - 3*q**3 - 4*q**k wrt q?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1 - -9820)*16\/((-1056)\/(-253)).\nAnswer: 23, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(833)*-1 + (-3*-1*sqrt(272))**2)*2.\nAnswer: -14*sqrt(17) + 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51911 - -21606. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v - 2*j - 3, 5*j - 1 = -4*v. Let i be 1 + v\/((-4)\/(-1020)). Let w = i + 432. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*s - 522*s - 517*s - 39*s - 516*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 948419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:32 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2083 or 2\/5?\nAnswer: -2083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -532 (base 15) to base 16\nAnswer: -494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 5*b - 4. Let o be h(3). Determine y so that -24*y**4 - 207*y**2 + 32*y**3 + 4*y**5 - 210*y**2 + 16 - 36*y + 425*y**o = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -178*f**2 + 70*f + 30. Let y(v) = -119*v**2 + 44*v + 19. Calculate 5*u(c) - 8*y(c).\nAnswer: 62*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5 - 34*u**4 - 174*u**3 + 106*u**2 + 436*u - 336 = 0.\nAnswer: -4, -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p + 0*p**4 + 0*p**3 - 4*p**2 + 11\/5*p**5 + 7. Find the second derivative of m(b) wrt b.\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 594?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22742 and 1855805.\nAnswer: 1878547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29213, -29138, -29015, -28844, -28625, -28358?\n\"Answer: 24*r**2 + 3*r - 29240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*t - 26, -t + 23*p = 18*p + 13 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*((-33)\/(-9))\/11*9120\/(-1330)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 10*x + 9. Let b be n(4). Let s = -14 - b. Let y = 0 + 2. What is the highest common factor of s and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) 0.02 (c) 3 (d) 0.5 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/171, -1\/231, 0.01, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (156\/728)\/((-6)\/(-2984)). Let z = -107 + b. Sort -0.4, z, -3\/11 in increasing order.\nAnswer: z, -0.4, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223043280?\nAnswer: 2, 5, 15288041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12201243 - 10?\nAnswer: -12201303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16316 (base 9) in base 10?\nAnswer: -11193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 498, 2545, 7036, 14859, 26902, 44053, 67200, 97231?\n\"Answer: 148*p**3 + 334*p**2 + 9*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 + g**2 - 288 + 48 - 266 + 3*g to s*g + x*g**2 + v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.542298 nanometers in kilometers?\nAnswer: 0.000000000000542298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 55 + 279 + 138)*(z**3 - z**4 - z**3) in the form u + g*z**4 + s*z**2 + p*z + i*z**3 and give g.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -4 (c) -5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -211200111112202?\nAnswer: -211200111112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3015, -6495, -10447, -14871, -19767?\n\"Answer: -236*t**2 - 2772*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 11.5. Suppose -2 = 85*n - 83*n. What is the biggest value in n, 1\/4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*0.063963.\nAnswer: -0.00383778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*(6 + -24) + 389200\/(-32200).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465 = -5*r - 4*p - 540, 5*p - 45 = 3*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840901 is divided by 1933?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azaaazaaaz. What is prob of picking 1 z and 1 a?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 1. Let z be y(-2). Let f be (2\/1 - 3)*(-7 - -4). Let i be 87\/27 - (-2)\/(-9). Solve 0 = 3*g - f*q + 6*q + z, -i*g - 3 = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*v = -21641, 74*p - 69*p = -4*v + 36069. List the prime factors of p.\nAnswer: 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523980 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 4528630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4792.328 kilograms to tonnes.\nAnswer: 4.792328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + 313?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398675 and 1221?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 2 - 10 - 14 + 7.\nAnswer: 5*p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48165 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 u(z) = -10*z - 2. Let p(m) = -4 + 4 + 11*m + 2. Let h(y) = 5*p(y) + 6*u(y). Is h(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -72. Let c(l) = -l**2 - 4*l + 9. Let y(t) = t + 1. Let z(i) = c(i) - 3*y(i). Let v be z(s). What is the greatest common factor of 66 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(95)\/sqrt(5)*-6 - sqrt(209)\/(sqrt(44)\/sqrt(4))).\nAnswer: -7*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 5*u**2 - 19*u + 4 + 15*u + 2*u**3 + 15*u**2 - 40*u**2 as q + p*u**2 + n*u + r*u**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/10)\/((-26)\/(-520)*-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c. Suppose 0*x - 2*x = -5*o + 35, c = 3*o - 4*x - 35. Suppose -4 = -6*w + 4*w - o*v, 0 = -4*w - 5*v - 12. Are w and -8 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3762\/(-44)*36\/486\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4048 - 2972 = 0. Let r = -665 - k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 9*y - 6. Let i be d(8). Let f(x) = -4*x**2 + 2*x + 2. Determine f(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let d(u) = -44*u**2 + 32*u + 32. Let v(p) = -4*p**2 + 3*p + 3. Let b(g) = -3*d(g) + 32*v(g). What is b(i(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least 33167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 211*r - 7645. Calculate z(-34).\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*r**2 + 874*r**2 - 1754*r**2 - 40*r**3.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20457875647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 44466270?\nAnswer: 44466269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2392 and 1144?\nAnswer: 26312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.0000075 - -16. What is d rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/((-26000)\/(-2550)))\/(15\/(-20))?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqnnenneaannepnnna. What is prob of picking 3 e?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16199.\nAnswer: 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.90453ml to litres.\nAnswer: 0.09590453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 257*w**2 - w.\nAnswer: 257*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163.6128 + 23.\nAnswer: -140.6128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179846, -719391, -1618642, -2877599?\nAnswer: -4496262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*q - 65*q + 192*q)*(q**2 - q**2 + 2*q**4).\nAnswer: 404*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(5\/(-10)))\/((-4)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (26\/(-40))\/(1\/(-4)). Does 0.1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-7))\/(32\/4368). Let w = 465 - s. Sort 6, 2, w.\nAnswer: w, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - ((-2 + 0 - (-2 + 31)) + -6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 853357365 by 121908195.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002467904027 to seven dps.\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/(-91)*(-5 + (-72)\/(-27)) + 14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2875 and 9200.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:31 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dztzdddhzwhzhhddazd. What is prob of sequence ztha?\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**4 - 11*i**3 + 16*i**2 - i - 6 = 0.\nAnswer: -1\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4321\/596 - 27\/12. Solve 4*r + 19*c + 31 = 16*c, 0 = 5*r - 3*c + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(84)*-1*-4 + sqrt(84) - 4*(sqrt(84) - sqrt(84)*1)))\/((sqrt(132) - 1*(sqrt(132)*-1 + sqrt(132)))\/(sqrt(11) - sqrt(891)*-2)).\nAnswer: -190*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1273608 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-1)\/10)\/((-3)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 1 + 4 = 0, 5*y - 13683*g + 6839*g = -6845*g + 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 l when four letters picked without replacement from eelelsl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, 1 q, and 1 h when four letters picked without replacement from qeqqqqqqqtqh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 68 - 148 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-28) + 0)*(-182)\/(-52)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 58730, 58119, 57100, 55673, 53838, 51595, 48944?\n\"Answer: -204*x**2 + x + 58933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 8. Suppose 14*n - 54 = 5*n. Calculate x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/45)\/1 - (-235)\/75. Which is the biggest value? (a) 5 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 1, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03275*-233.94.\nAnswer: -7.661535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2. Let p(k) be the second derivative of -k**4\/12 + 4*k. Determine a(p(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70765480 to the nearest integer?\nAnswer: 8412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -11. Let w = -0.9134 - 0.0866. Let v = -217 + 433\/2. Which is the nearest to w? (a) i (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = 71*v - 1030 - 768 - 12 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*p + 83. What is the third biggest value in p, 0.1, -1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 109472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -2 (b) -5 (c) -2\/29 (d) -0.3 (e) -6\/19 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-36))\/(((-45)\/4)\/3). Put h, 3, 8, 2\/19, 4 in decreasing order.\nAnswer: 8, 4, 3, 2\/19, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 100 = -7*x, -519*q + 176*q = -176*q - 170*q + 3*x + 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 23 = -15922*q + 15923*q, -o - 4*q + 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -40. Sort 10, 5, q, 4 in decreasing order.\nAnswer: 10, 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -525.9 and -1?\nAnswer: 525.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(20\/(800\/15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.53 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004*c + 15 = -m + 2003*c, 0 = -2*m + 3*c - 5 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lloooololloolonon. What is prob of sequence lnn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33229 and 48076?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -54, 9, 11\/2, 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.3, -2, -9\/46, 73.\nAnswer: -2, -4\/7, -0.3, -9\/46, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 14. What is the smallest common multiple of -16 - -11 - (-1 - 6) and p(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-14 - (-6 - 3)) + 1461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50379.61686616 + -0.2?\nAnswer: -50379.81686616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 + 132820\/2088)*-6*(50\/(-28))\/(-5).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280.6 - -281. Suppose 0 = -6*m + 25 + 11. Which is the closest to m? (a) r (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/9 + 40*x**3\/9 + 52*x**2\/3 - 440*x\/9 + 242\/9 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 47 = -3*f - f + 39 - 90, 5*f - f = -8*v - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -182506.12 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6)*12*11736788\/112 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4200141 - -4200140.83402036. Let u = 0.166 + c. What is u rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1784\/(((-5)\/1875*-9)\/3). Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d**2 + 3 - 4*d**2 - 1. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2\/2 - 11*n - 2. Let p be 0 + 0 - -2 - 13. Let d be t(p). Solve 4*c - 5 - 3 = d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 21*g**2 + 157*g - 7. List the prime factors of k(-11).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217102 to the power of 1\/2, to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from igrikhs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*k - 43840. Is (k\/50)\/(4\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-50)\/70)\/(23\/(-161)). Which is the third smallest value? (a) -4231 (b) 2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)*2 - sqrt(77) - -1*(sqrt(77) - 1*sqrt(77)))\/(2*(sqrt(700) + (sqrt(700) - (sqrt(700)*-1 + sqrt(700))*2) - sqrt(700))).\nAnswer: 9*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20337.\nAnswer: 3, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -33496, -11, 2, -3 in ascending order.\nAnswer: -33496, -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -46*m + 68. Let u be j(-12). Let w be 7*(u\/(-315) + 2). Let 2\/9*o**2 - w + 0*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/7 (b) -5 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -u - 4*t, 0 = 5*t + 5. Let c be 6\/7*2\/u. Let p = -19\/28 + c. Sort -0.5, 0.3, p in ascending order.\nAnswer: -0.5, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, t: 4, d: 3, u: 2, h: 2}. Give prob of picking 2 a and 2 u.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -31*q**4\/24 + 13*q**3\/6 + 6885*q**2 - 1. What is i(7)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 8 = -10*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 3*d**3 - d**3 + 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419463?\nAnswer: 3, 11, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(2387\/124))\/(2\/70*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1838 less than 22910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = -1. Let f = x - -11. Calculate the lowest common multiple of f and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 35 = 3*i + v, 21*i + 3*v + 72 = 0. Let j be 88\/(-14) - 4\/(-14). Put 0, -13, i, j in decreasing order.\nAnswer: 0, i, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least 7\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8679386*a**3*h**2 - 5*a**2 - 1058*a*h**2 - 8*a - 3*h - 1 wrt a.\nAnswer: 52076316*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3177, -2985, -2793?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*d**2*t**3 + d**2*t - d*i*t**5 + 4*d*i*t**2 - 4*t**2 wrt t.\nAnswer: -150*d**2 - 60*d*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9928.38 nanometers?\nAnswer: 9.92838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(252))\/sqrt(7))\/((-2*sqrt(24))\/sqrt(2)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g = 9. Let f = 0 + g. Let v be 10*1*3\/6. Put f, -2, v in descending order.\nAnswer: v, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 36, 35, 34, 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8)**(-36)*n**17*n*n*n*n**(-15) assuming n is positive.\nAnswer: n**(-283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*b**2 - 11*b + 12*b + 43*b**3 - 1 - 45*b**3 - 1 in the form x*b + q + r*b**3 + t*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1827*r**4 - 27*r + 71*r - 880 - 22*r - 22*r wrt r?\nAnswer: 7308*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/3 + 5676586*p**2\/3 - 79471910*p\/3 + 92717114 = 0. What is p?\nAnswer: 7, 2838279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (5*(-2 + sqrt(1900)) - sqrt(1900))*-1*1)**2.\nAnswer: -800*sqrt(19) + 30500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42129 rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 120. Determine h(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*f = -117*f + 308. Let d(g) = g**3 + 12*g**2 + 12*g + 1. Calculate d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Let x = w + -2.2. Let n = -0.8 + x. Which is greater: -2\/3 or n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 0. Let a = h - -45. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1\/2*(-15)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -2*sqrt(104)*-4) + sqrt(104))\/(sqrt(56)\/(sqrt(7)*-2)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*u = -7, 6 + 22 = 4*q - 2*u. Suppose 0 = 4*x - q*x + p + 31, -4*x - p + 114 = 0. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + ((-18)\/(-4))\/9*4. Let r = -18 + 29. Let h = r - j. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3257*o + 868*o + 1102*o + 1022*o + 1 + o - 1 + (0 + 0 + 2*o)*(2 - 5 + 2).\nAnswer: -266*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*o + 5, -o = 3*h + 2 + 5. Suppose 0 = -7*i - 137 - 703. Let r be (o\/4)\/(15\/i). Solve 0*c - r*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m**5 + 224*m**4 + 132*m**3 - 1476*m**2 + 280*m + 2400 = 0. What is m?\nAnswer: -2, -4\/3, 5\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -505530203 (base 6) in base 15?\nAnswer: -b65203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 19836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 24 = q, -4*f + 4*q = 3*q + 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**3 + 2*q**2 + q - 6. Let t(m) = 9*m**3 - 2*m**2 - m + 7. Let z = 9 + -16. Let p(w) = -5*w**3 - 1. Let n be p(1). Give n*t(r) + z*d(r).\nAnswer: 2*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-13\/5)\/i)*i**8)\/((((i*i\/(i*((i\/i**(-3\/7))\/i)\/i))\/i)\/i)\/(i*i**4\/i*i)) assuming i is positive.\nAnswer: i**(631\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62991, 125991, 189003, 252027?\nAnswer: 315063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53425268.\nAnswer: 2, 13, 1027409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7 - 4 + y - 12*y - 8*y**2. Let p(l) = 3*l**2 + 4*l + 4. Let i = 1 + 10. Suppose i = o + 14*x - 9*x, 0 = -5*x. Give o*p(v) + 4*h(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**4 + 461 + 1165 + 15*v - 15*v + 643*v**2 wrt v?\nAnswer: 8*v**3 + 1286*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-5))\/2 + 3886\/10. Let t be (-2)\/(-7) - w\/(-1680). Let u = -3\/20 - t. Which is the third biggest value? (a) 2\/9 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c - 5*c)*(-4 + 0 + 1) + (-3 - 2 + 3)*(-4*c + 0*c + 0*c).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74434 is divided by 24810.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/930 and -143\/108.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*l - 30 = -155*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 6*c + 4 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14079 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 4*w + 8 - 6. Let p be n(1). Let h(o) = 8*o + 10. Let j(y) = -y + 1. Let f(b) = p*h(b) - 2*j(b). Let a(u) = u + 1. Give -18*a(t) + 2*f(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 - 19*g**2 - 82*g + 2. What is s(-5)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -5, -70, 1, -1 in ascending order.\nAnswer: -70, -5, -1, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-26 + 38 + (-11 - 2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - a - 1. Let k(f) = -4 + 7*f - 10*f + 14*f**2 - 5*f**2 - 12*f**2. Give -k(z) + 2*o(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 1099, 1648, 2197, 2746, 3295?\nAnswer: 3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/15 + (-29)\/(-3). Let x(t) = 11*t**3 + 10*t**2 + 11*t - 10. Let d be x(m). Round d to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43521 rounded to two decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 7. List the prime factors of a\/(-6)*46\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*s + 160*s - 21*s)*(-5 + 1 - 1)*(-3*s**3 + s**3 + 3*s**3) to k*s**2 + v + h*s**3 + m*s**4 + x*s and give m.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42342 is divided by 42064.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17120, 34136, 51114, 68048, 84932, 101760?\n\"Answer: -y**3 - 13*y**2 + 17062*y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**(2\/7)\/h))**(3\/29))**50)**47 assuming h is positive.\nAnswer: h**(-14100\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 6934950.\nAnswer: 55479600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 489506 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -86*a + 105. Let c be s(3). Let g be (-6)\/(-3)*-2 - 594\/c. What is the third smallest value in 0.4, g, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.15.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from yyyykky.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l**4 + 10 - 2*l**3 - 14*l**4 + 21*l**4 - l - 13 + 5*l**2 to the form t*l**2 + z*l**3 + d + q*l + w*l**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 2. Let c(p) = 12*p + 20. Let b(a) = 3*c(a) - 32*r(a). Let w be b(3). Suppose 0 = -w*m - 5 + 13. Which is bigger: m or -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 53*h + 47*h - 140*h - 83 - 226*h - 106*h. List the prime factors of x(-3).\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/7)\/k*k)\/k**(2\/5))**11 assuming k is positive.\nAnswer: k**(286\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -43cc (base 13) to base 9\nAnswer: -13874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292.69322 hours in weeks?\nAnswer: 7.6946025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 96846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 1a144?\nAnswer: 1a131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -115*v**3 + 21*v**2 + 52*v + 31. Let p be j(-2). Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 39547008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13065 or 13066?\nAnswer: 13065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p + 3*p**2 - 1 + 2*p**2 - 6*p**2. Let o(m) = 2*m. What is -2*f(c) - 18*o(c)?\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*(-3 + 6). What is the common denominator of (-94)\/f*(-2)\/5 and (336\/(-35) - 0) + (-30)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -668, -1006, -1344, -1682, -2020?\nAnswer: -2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**7\/2520 - y**6\/240 - y**5\/120 - y**4\/6 + 2*y. Let o(p) be the third derivative of f(p). Give o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61168 and 30064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 0 + (sqrt(117) + 2*sqrt(117))\/sqrt(9) + (sqrt(13)*1*6 - sqrt(13)) + (sqrt(13) - (sqrt(1053) + 0 + sqrt(1053))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i = -4720 - 12908. Let x = -449 - i. Solve 4*k + 23 = x*k - 5*y, 2*k - 5*y = 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3927)\/1496)\/((45\/12)\/(-5))*(-156)\/390.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9747 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122211 - -211?\nAnswer: -122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6428c0 (base 13) to base 6.\nAnswer: -122153532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 178973700 to the nearest 100000.\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-5) + 4\/20. Let a(g) = k + 0*g**2 - 3*g - 4*g - 5*g**2 + 0*g + g**3. Let v be a(6). Calculate the highest common factor of 18 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67376?\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680567433 to the power of 1\/3, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 9*c**2 + 18*c + 3. What is p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/5 and 15\/70*232\/(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5412 + 11350. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3269 = 2*y + 3*d, 4*d = -y + 664. Suppose 112*k - y = 110*k. 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 product of -4 and -12283?\nAnswer: 49132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -103. Let u = 1888\/803 + -19\/73. Is u greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 4. Let z(x) = 4*x**2 + 5*x + 5. Let k be z(-2). Let r(s) = 3*s + 11. Give k*d(m) + 4*r(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023 and -9.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 1. What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.019 + -4.419. Let v = i + 3.9. What is the second smallest value in v, -5, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48590 and 102770.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -888 plus 90.1?\nAnswer: -797.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1657*l + 10 = -1653*l - 5*d, 5*d - 20 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 4 (c) -1 (d) -442 (e) 0 (f) 5 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvxx. What is prob of sequence vvvx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6125 and 34\/37625.\nAnswer: 263375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeleqeqqqele. What is prob of sequence eq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 9*n**2 - 16*n - 19. Let z be m(-11). Let s = z + 300. Suppose 20*p = 21*p - s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27\/2 (b) -3 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Let m = q + 1. Let l = 0.5 - m. Sort l, 3, 0.1 in ascending order.\nAnswer: 0.1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20, -4*b = -9*b - n + 30. Suppose b*w - z - 78 = 0, -4*w = z - 0*z - 57. Calculate the highest common factor of 45 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 5*j**2 + 6*j**2 - j**2. Let n(v) = v. Determine n(f(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e08 + -1?\nAnswer: -5e09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3628311 is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3424?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/176 + (-442)\/11. What is the remainder when (f\/8)\/((-2)\/46) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-20)\/(-16)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11130 (base 4) to base 8.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(125) + 2 + -3)*-4*3 + 0.\nAnswer: -24 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19931 is divided by 223.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*m = 70*m + 189. Let a(s) be the first derivative of -m + 1\/2*s**2 + 4*s. What is a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -13*g**3\/6 - 3*g**2 + g. Suppose 0*v + 5*v = -70. Let h be (0 + v)*(-2)\/4. Let a(k) = 9*k + 4. Determine h*a(n) + 5*l(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 227*o + 18. List the prime factors of z(1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from anannnnaannnan?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4008, -3999, -3976, -3933, -3864?\n\"Answer: z**3 + z**2 - z - 4009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44356, -44737, -45746, -47689, -50872, -55601, -62182, -70921?\n\"Answer: -51*c**3 - 8*c**2 - 44297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3841, -10051, -16255, -22453, -28645, -34831?\n\"Answer: 3*r**2 - 6219*r + 2375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/32*(-204)\/(-10). Let z(a) = t - 16 - 22 - 3*a. List the prime factors of z(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 381 + -383. Sort -3, -9, -1, h in ascending order.\nAnswer: -9, -3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451.00004 + 451. Round g to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361775 by 12475.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**5\/60 - 4*t**2 - 8. Let q(p) be the second derivative of n(p). Let f(j) = 3*j - 4*j + 6*j. Determine f(q(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*n = 17096 - 44811 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 178*s**2\/7 + 368*s\/7 - 120\/7.\nAnswer: 2*(s + 3)*(s + 10)*(7*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -3.1. Let f = -3.34 + 1.34. Which is the closest to 0? (a) 1\/3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 3, t: 1, a: 1, l: 1}. Give prob of picking 1 l, 1 a, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*0.045219.\nAnswer: 0.723504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 2*x**2 - 3*x + 3. Let v(w) be the first derivative of -w**4 + 4*w**3\/3 + 5*w**2\/2 - 5*w - 128. Give -5*f(j) - 3*v(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from mmmfttp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23002258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-2880)*36*(-20)\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2, -226.\nAnswer: -226, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001044570087 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k**(-1)))\/k)**(4\/13)*k**(5\/6)*k**7 assuming k is positive.\nAnswer: k**(659\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, y: 1, b: 6, s: 5, k: 1}. What is prob of sequence sskb?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-8 + 1 + -5 + 14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*y + 287*y = -15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-618)\/(-270) + (-732)\/61.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35739647 rounded to three decimal places?\nAnswer: 2.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5035 - 302089\/60. Let b(t) be the third derivative of 0*t - 1\/2*t**3 - l*t**5 - 9*t**2 + 0*t**4 + 0. Differentiate b(r) with respect to r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 + 3*v + 3. Let a be l(-2). Let n(r) = 5*r**3 + r**2 - 1. Let w be n(a). Sort -5, w, 2 in increasing order.\nAnswer: -5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*u + 467, 17*j - u + 912 = 19*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1487, 1468, 1435, 1382, 1303, 1192, 1043?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1942403, -3884740, -5827009, -7769210?\n\"Answer: 34*p**2 - 1942439*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405) + (sqrt(405) - (2 + sqrt(405) - sqrt(405)) - sqrt(405))**2 - sqrt(405)))*-4 - (sqrt(15)\/(2*sqrt(3)*2))**2.\nAnswer: -36*sqrt(5) + 251\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9904404 != 9904407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.44, 0, -5\/4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/15, -3.8, -1 in ascending order.\nAnswer: -3.8, -16\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 - m - 6. Let t be z(-6). Let d = 230 - 227. Suppose 3*q - d*h + 2*h = 13, 2*h = 4. What is the closest to t in q, 0.09, 0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t - 363. What is y(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 6. Let j be y(-10). Suppose -j*w - 17 = -113. Let u(a) = 8*a + 4. Let b be u(4). What is the greatest common divisor of w and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450237 is divided by 8337.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 35*n + 20. Solve 0 = 5*c + 5*j - 35, -5*c + 4 = -n*j - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + x - 478, -15 + 20 = -x. What is the third derivative of -194 + 95 + 98 + f*l**3 - 63*l**2 wrt l?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171420886 divided by -4991.\nAnswer: -34346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-4)\/4 - 0)\/(2\/(-206))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*b**2 - 340*b**2 + 637*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/36069 and 8\/36069.\nAnswer: 36069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4499051 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {b: 1, s: 3, x: 1, k: 3, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q + 600 = 654. Solve 5 = q*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:06 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6\/11, 4\/9, 47, 1\/2, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -12) + (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127584?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1175158 divided by -3\nAnswer: 1175158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 336 - 28 = -6*b, -w + 5*b = -162. Solve w - 10 = 33*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -71\/10?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 6, 5, -3, -5, 2 in decreasing order.\nAnswer: 6, 5, 2, -2, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -0*w + 5*w. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 5*s - 2. Let m be i(-3). Let w = -438 - -441. Let f be w\/(-4) - (-83)\/m. Calculate the greatest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20619153 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 33. Calculate z(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 216\/9 + 4840\/(-200). Which is the closest to -3? (a) 0.08 (b) r (c) -18 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Solve 2*k + 4 = 4*k - 2*i, 5*i = -z*k + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*z = -11, 2 = -x + z + 1. Suppose -3 = -x*k - 0*k. Let m be -1*(-1 - 0) - k. Solve t = 2*t - 5*p - 15, m = 3*p + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 734391302792793.244 + -734402353851226.24399833. Let c = -11051058316 - b. Let o = c - 117. What is o rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 18. Let a be d(-11). Let v = 8 + a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a - 18. Let n be v(0). Let w(f) = f**2 + 19*f + 20. What is w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 - 10*t + 7*t - t**2 - 5. Suppose 0 = 3*o - z - 30, 0 = -3*o + 2*z + z + 30. Suppose o*j + 20 = 5*j. What is s(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -677 (b) -20.27 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1108 rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2475099 centuries to months.\nAnswer: 297.01188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.31 or 0?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5993 (base 15) to base 9\nAnswer: 28103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Suppose -26*a + 128 = -28*a - j, 2*a + 2*j = -124. Let d be (-2)\/a*32\/144. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-5 - -1 - (97 + -106)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -3.1. Let f = -8 - k. Which is the nearest to 1\/2? (a) -3 (b) 2\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -49. Suppose -2*w = 2*a - a - 10, -4*a + z = -2*w. Solve 6 = 2*l + 14, 2*n - w*l = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -87?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-4)\/2. Put 5, 2\/5, f in descending order.\nAnswer: 5, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 - 5. Suppose 3*j = 5*d - 5, -4*j - 11 + 43 = 3*d. Let y be d\/(-3) + 48\/(-18). List the prime factors of o(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (401*v**2 - 401*v**2 + 134*v**3)*(-v**2 + 3*v**2 - v**2).\nAnswer: 134*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 904 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**(9\/2))*h)\/h**(-3\/7)*(h*h**(1\/5))**(3\/28) assuming h is positive.\nAnswer: h**(177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11957\/12 - 3473\/3. Let b = j + 161. Suppose -o = -4*i - 10, -5*o + 2*o = 4*i + 2. What is the nearest to o in b, -3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508\/31701 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 41*r - 246. Solve r*z - 9 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k**2 + 3*k - 11. Let r be f(6). Suppose -819 + 175 = -2*n + s, 5*s = n - r. What are the prime factors of n?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2629*z - 29071 - 142090 - 35562 = 48290 for z.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 71632896 divided by -1572\nAnswer: -45568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-30))\/(1\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121008.\nAnswer: 2, 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = r - 89, 527 - 175 = 4*b + 2*r. Calculate the smallest common multiple of 435 and b.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8049197?\nAnswer: 13, 619169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -6. Let i be (0 + q + 2)*2. Let z be 46 + -39 - 1*-1. Calculate the greatest common factor of z and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36876.3 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -48.69, -1\/11, -3, 0.03 in decreasing order.\nAnswer: 0.03, -1\/11, -0.1, -3, -48.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173961930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 223534 divided by -1\nAnswer: -223534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*z**3 - 108*z - 957*z**2 + 264*z**3 + 954*z**2 wrt z.\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*p - 6 = -135*p, -2*p + 19941 = 3*w. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let i = -884973 - -884968. What is the third biggest value in i, -4, 44, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 8038783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -156057269 divided by -2?\nAnswer: 156057269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24868862.\nAnswer: 2, 257, 48383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -3 - (1 - 0). Suppose -4*m = n - h*n - 196, 2*m - 108 = -3*n. Calculate the remainder when m is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**2. Let w(h) = 8*h**2. Suppose 5*o - 13 = 5*j - 48, -6 = -2*j. What is o*n(x) - 3*w(x)?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) 0 (b) 1\/4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -107*p + 105*p. Find the second derivative of 0 + 6*l**3 + p + 5*l - 25 - 19 - 2*l - 10*l**5 wrt l.\nAnswer: -200*l**3 + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1598, 3259, 4920, 6581, 8242, 9903?\n\"Answer: 1661*l - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 76797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1953 + 1159?\nAnswer: 1158.8047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Let n = 1 + t. Suppose 0*l - 34 = -n*l. Solve -l = -4*j + 3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -7*x**5\/100 - 17*x**4\/4 - 24*x**3\/5 - 79*x**2\/2 + 9*x + 2. Let j(g) be the first derivative of a(g). Factor j(m).\nAnswer: -3*(m + 24)*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24178 is divided by 24169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-14)\/(-2))\/((-2)\/(-19)). Round r to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/2 - 11481*o**2 - 9120627*o\/2 - 465340140 = 0. What is o?\nAnswer: -7240, -207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-816555)\/(-135) + 16\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 3)*(-4*y**5 + y**5 + 5*y**5) + 0*y**5 + 3*y**5 - y**5.\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95840 divided by -19168?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/217341219 and -1\/30.\nAnswer: 2173412190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let d(r) = -54424*r. Calculate d(h(a)).\nAnswer: -108848*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 3, a: 1, x: 4, r: 2}. What is prob of sequence ya?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1292*u**4 + 2*u**3 + u - 6067 with respect to u.\nAnswer: 5168*u**3 + 6*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.02 - 39. Let z = i - -0.38. Let t = -11.7 - -12. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*988\nAnswer: 296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i*v**2*w**2 + 157*i*v**2 + 51*i*v*w - 3*i wrt w?\nAnswer: 20*i*v**2*w + 51*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 19*g + 32. Let z be u(-34). Let j be (-2)\/(-5) + (z\/110 - -5). What is the smallest value in -3, 13, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 160465.159 and 0.2.\nAnswer: 160465.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*x - 34 - 570*x + 190*x + 12*x**2 + 190*x as v*x + k + n*x**2 and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 > -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 178*c**2 + 3696*c - 4. Give m(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 6*c**3 + 13 - 14 - 22*c**2 - c**3 + 4*c**3 - 10*c**3 in the form l*c**2 + t*c + i + r*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x + 2. Suppose 254 = -45*d + 249*d - 358. Let v(t) = -2*t**3 - t**2 - 7*t - 5. Give d*v(i) + 7*r(i).\nAnswer: i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.64 and -0.0486543.\nAnswer: 0.469027452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049*b**2*g*i**2 + 5*b**2*i**2 + b*g*i**2 - 141*b*i - 8*g*i**2 - 5*i**2 wrt b?\nAnswer: 2098*g*i**2 + 10*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 666, 669, 672, 675, 678, 681?\n\"Answer: 3*c + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139018 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223087 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*b = 253*b + 990. What is the smallest common multiple of b and 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 - 3 = 0. Let t be (7 + k)*(-2)\/(-6). Find the second derivative of -3 + 3*v - 18*v**t + 3 + 24*v**2 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104001?\nAnswer: 3, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5560, -14193, -22830, -31471, -40116, -48765?\nAnswer: -57418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 14*d = -2*f + 26, 2*d = -8 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 4 (c) -0.022 (d) 1 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0136033 to 4 decimal places.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2 - 5*u + 6. What is the tens digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 257562?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2955 - 14060. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-66)*-3 + (-80)\/(-44). Suppose -5*t + 20 = 0, 3*o - c*t - 1209 - 883 = 0. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 10:10 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 2. Let t(z) = 4*z + 1. Suppose -10*p - 6*p + 176 = 0. Calculate p*t(o) + 6*m(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 23*x**2 + 18*x - 125. What is t(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*v)*(-254 - 420 + 101 + (-3 - 2 + 6)*(5 + 0 - 1))*(0 + 0 - 7) to h*v + d and give h.\nAnswer: 7966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29038 (base 11) to base 15.\nAnswer: -c387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -1, -900 in ascending order.\nAnswer: -900, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -21. Let r = j - 4.6. Let c = r + 0.8. What is the closest to c in 0.01, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 685 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 m, and 1 r when four letters picked without replacement from ofrorrfmmorrvo?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1.18, 6558, 0.5, -2, -3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91957706 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 = 4*k + 18, 3*k + 5*v - 1 = 0. Let f(y) = -16*y + 27. Let l(h) = 11*h - 18. Let z(d) = k*l(d) - 5*f(d). Does 29 divide z(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-880)\/(-1056))\/(2*1\/(-24)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 329*g**5\/60 - 137*g**4\/24 + 5*g**3\/6 + g**2 + 216. What is the second derivative of x(k) wrt k?\nAnswer: 658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 75. Let y be 52*1 + -8 + h. Let q = y - 46. Let w(t) = -t**2 + 7*t - 5. Give w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.94 - 8. Let k = z - -0.0587. What is k rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 945*l**3 + 2845 wrt l?\nAnswer: 2835*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x\/(x*x**(-5\/17))))*x*x*x)\/x*x**45)\/((x\/(x\/(x*(x*x**1*x)\/x*x*x)))\/(x\/(x\/(x*x\/(x\/(x*x\/x**(1\/31)))*x)*x))) assuming x is positive.\nAnswer: x**(24380\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15775 divided by 70.\nAnswer: -3155\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -765, -1188, -1655, -2178, -2769?\nAnswer: -3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 45. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15000 and 16280000.\nAnswer: 48840000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35964 and 3159972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4 - 14. Suppose -14*k + 85 = -j*k. Is k less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*r - 20. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*b - 21*b - 23625. Calculate the remainder when b is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219744 is divided by 36572?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*g - 24166, 5*g = 5*w - 3*w - 9685. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + y - 6*y + 57 = -51*q - 29*q, 0 = -8*q - 4*y + 152 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 241479003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34945 + 69879 + 225*f - 199*f - 34934.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxh when three letters picked without replacement from {g: 2, c: 1, h: 2, x: 6, r: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s**2. Let u(g) = 30970 - 6*g - 12*g - 30970. Determine z(u(a)).\nAnswer: -5184*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/432 (b) 0.1 (c) 0 (d) -4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 - 4*l + 1. Let b be w(-3). Suppose -10 = -b*j + r, -2*r - 4 = -4*r. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 101 = -25*z + 154. Suppose -i - 5*p + 25 = 0, -2*p = 4*i - 0*p - 28. Solve 2*b + 2*k + z = -k, i*k + 10 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 - 3 = 0. Suppose -m + 3 = k*s, 2*s + 2 = -3*m + m. Let q = 134 + s. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6804 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8969 + 8261. Do x and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 29*a**2 - 46)*((-8*a - 12*a + 14*a)*(1 - 6 + 4) + 0*a + a - 5*a) + (a - 2*a + 3*a)*(2*a**2 + a**2 - a**2).\nAnswer: -54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/362621 and 55\/621636.\nAnswer: 4351452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 11*y**2 - 14*y**2 + 24*y**2 + 1. Let x be d(-3). Suppose -p - 5*u - 5 - 17 = 0, 0 = 5*p - u - 20. Solve p*t + x = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3381 is divided by 231?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -375314 + -3?\nAnswer: -375317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203425 (base 11) to base 5.\nAnswer: -40422411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = 24. What is the remainder when 9 is divided by (-22)\/m + 10\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 22*t**2 - 22*t - 20. Let m be k(23). Put m, -4, -0.4, -1 in descending order.\nAnswer: m, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.086, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73.75 - 0.004.\nAnswer: -73.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 5*r + 5. Let w(s) = s - 12. Let j be w(7). Let k be z(j). Suppose 2*y + 4*g - k = 0, -2*y - 2*g + 35 = 3*g. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 2 + 0 + 4 - 3. Let m(j) = j + 1. Suppose -5*d - 165 = -5*u, 73 = 3*u + 3*d - 38. Let a = u - 27. Calculate a*m(p) - 3*i(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 579*m + 10716 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 232\/(-8) - (-1 - -2). Let h = d - -36. What is the remainder when 8 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588\/2618 - 1918\/3014?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ohooooogoh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12252 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 64*z = -420. Solve -5*l = -5*y - 10, y - 2*y = 4*l + z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-2)\/(-4))\/((-102)\/(-255))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5757 - 3609. Let d = s - -4049. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-14))\/((-60)\/(-210)). Sort -3, 7\/6, u, -5 in ascending order.\nAnswer: -5, -3, 7\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 3\/5, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932921?\nAnswer: 11, 84811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, -5, -0.5, -2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -56?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 65181283.2 to the nearest 10000.\nAnswer: 65180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 84. Solve 3*d - 4*r = 3, 27 = 5*d - r + n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -1 (c) -1\/47 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -2) + (-172 - -141)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4184640 and 1131.04?\nAnswer: 4183508.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 240*l**2 + 7*l + 0*l - 656*l**2 + 232*l**2 to j*l**2 + g*l + c and give j.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37755940 to the power of 1\/2, to the nearest integer?\nAnswer: 6145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29b (base 12) in base 6?\nAnswer: -1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12180*w**3 - 82844*w**2 + 58600*w - 96 = 0.\nAnswer: 1\/609, 4\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531423 (base 6) in base 4?\nAnswer: -111323013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/1190*110\/11\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 - 7 = -58*a + 57*a, 64*f - 2*a = 206 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154022179417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 34 + 0*z**5 + 4*z**6 + 0*z + 0*z**2 - 4\/3*z**3 + 0*z**4. What is the third derivative of m(t) wrt t?\nAnswer: 1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -7972.\nAnswer: 430488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - (-7 + 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -39 and -239\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3910 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 - 2380\/7. Let t = o - -4396\/13. Let r be (-4)\/(-14) - (-9)\/(-7). Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 846766 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7, 1\/6, -2, -1 in descending order.\nAnswer: 1\/6, -0.5, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Let x = 7 - d. Let h be (x + (-10)\/3)*3. Put 3, -5, h in ascending order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*g + 0*g + g)*(-11*g + 5*g - 4*g) - 4*g**2 - g + g)*(2*g - 4*g + g) in the form y*g + b + s*g**2 + o*g**3 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 679709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 412*t + 1656*t + 649*t - t + t + t + (-4 + 2*t + 4)*(-1 - 3 + 3).\nAnswer: 2716*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2897 = 2945. Solve -504*h + 498*h = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 66*l**3 - 17*l**2 + 7*l. Let a(k) = 7*k - 11*k + 5*k - 3*k**2 + 11*k**3. Let t(c) = -34*a(c) + 6*o(c). What is the second derivative of t(q) wrt q?\nAnswer: 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23 - 1118\/(-52))*2. Sort g, 32, 4, 1.\nAnswer: g, 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {s: 1, y: 8, r: 1, c: 4, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/341 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let a be (-60)\/(-270) + 75\/27. Let d = 8 - 5. Solve -m*l - a = d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -159034, -318003, -476972, -635941, -794910?\n\"Answer: -158969*x - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-8)*v*v**(5\/7) assuming v is positive.\nAnswer: v**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 + 93*y**3 - 23 - 94*y**3 + (0 + y + 0)*(0*y**2 - 5*y**2 + 0*y**2).\nAnswer: -6*y**3 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 20, 0 = 4*s - 3*o + 13 - 10. Put -8, -21, s, 1 in increasing order.\nAnswer: -21, -8, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-403)\/78 - (-8)\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/4 + m**4\/2 - 2*m**3\/5 - 4*m**2. Factor t(z).\nAnswer: -3*(5*z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176.886 - 176.9. Let y = -0.67 - -0.65016. Let t = r - y. What is t rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -5, 1, 7264, 19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(77) + sqrt(77) + sqrt(77)*2)\/sqrt(11) + 4 + ((sqrt(252) - sqrt(252)*-1)*-2 - sqrt(252))**2.\nAnswer: 4*sqrt(7) + 6298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v + v**2 + 0*v. Let z(i) = i**2. Let g be (-2)\/(-2) - 54\/(-18). Determine g*w(l) - 2*z(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20)\/t*t**7)\/((t\/(t\/(t*t**(-16)*t)*t))\/t*t*t*t*(t**23*t*t)\/t*t*t*t) assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/(-6))\/(-4)*3. Let p = -2 + j. Let s = 4 - p. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190564.32 - 3?\nAnswer: -190567.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i - 2 + 1)*(-48*i + 335 - 335).\nAnswer: -48*i**2 + 48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*s - 50*s + 104. Suppose 4*i + 1 + 1 = b, -4*b + 5*i - 14 = 0. Let a = s + b. 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: Let a be 2\/8 + (-1026)\/72. Let r be (-21)\/a - (-2 - (-1)\/2). Suppose -5*z + 3*s - 10 = -s, -5*z - s + 15 = 0. Solve z*p = -r*m + 7, -p + 1 = -3*m + p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20999 and 392403.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5166, -5646, -6126, -6606, -7086?\nAnswer: -7566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4167 - 2*u**3 + 4197 + 286*u**2 - 286*u**2 - 8364.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 + 5)) + (-8 + (2 - -2) - 70).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 3*o - 1. Let x = -12 - -8. Let c = x + -1. Let j(n) = -11*n**2 + 5*n - 2. Let l(a) = c*i(a) + 3*j(a). Calculate l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 11. Calculate the remainder when 2\/(((-12)\/(-294))\/(7\/(343\/14))) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (16 - 23 - (3 - 3))) + 3 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 50*g - 5054. Let o be i(101). Let v = 74 + -43. Sort 0.1, o, v.\nAnswer: o, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1661 and ((-22185)\/174405)\/1 + 6\/(-7) + 1.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -840859204 - 9\nAnswer: -840859213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 10. Calculate the remainder when 45 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7. List the prime factors of u(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3650, -7292, -10934?\n\"Answer: -3642*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 38*s**2 - 40*s + 121. Let t be b(37). Solve 5 - t = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:28 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60926176 and 112.\nAnswer: 426483232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6287036.427 take away -0.047?\nAnswer: 6287036.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**3\/3 + 5*t**2 - 4*t + 58. Let f(n) = -n**2 + 3*n - 1. What is -7*f(m) + 2*j(m)?\nAnswer: 3*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose -w - 2 = -y. Suppose -y = -u - 2. Solve 3 = -u*c + 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165817 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 43343*m - 43371. What is p(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(176) + -3.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20d06ccb + -5?\nAnswer: 20d06cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2824 - -6?\nAnswer: -2819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f. What is the remainder when 21 + 6 + (-11 - -7) is divided by (-1 - f)\/((-2)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 2. Let q be t(-2). Suppose -1 = -2*d + 3*c + 24, 5*d - 50 = 5*c. Solve -4*v - y - 3 - 2 = 0, -q*v + d*y = 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 - 12*d**4 + 11*d**4 - 2*d**2 to v + l*d + j*d**3 + s*d**4 + c*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 17 + 1. Let v(k) = k**3 + 7*k**2 - 64*k. Let g be v(-12). Suppose g = -592*b + 600*b. Solve -n + a*n + b = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjp when three letters picked without replacement from {p: 15, j: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and 0.177?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0099663117 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 2 j when four letters picked without replacement from zwjwwzjzjyyzwyj?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(-6*(1 + sqrt(7)) + 0)**2 - sqrt(336)\/(-1*sqrt(1452))).\nAnswer: -864 - 2370*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = 5*n - 3*n, 5*n - 5*c - 50 = 0. Suppose y = -0*y + n. Let t(g) = -3*g. Let i be t(-3). Is y less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*g = -258*g + 128*g + 162. Which is the second biggest value? (a) 9\/5 (b) -4 (c) 2\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 48*w**2 + 69*w + 8 + 7*w**2 + 2 + 14 - 7.\nAnswer: (w + 1)*(w + 17)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - 100000000110111011?\nAnswer: -100000000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001 - 100001001010110011?\nAnswer: -100001001011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 20, 3*p + 99 = -2*v + 338. Suppose 79*f - p*f - 8 = 0. Solve -5*i - 30 = -b, 0*b = -4*b - f*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55906 is divided by 27216.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 2, p: 1, l: 1, x: 3, t: 5}. Give prob of picking 1 p, 1 j, and 1 l.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.142 + 499.858. Let m = z + -483. Which is the second smallest value? (a) 9 (b) -4\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-2679 + 144*x + 2679) + (1 + x - 1)*(-9 - 13 + 7).\nAnswer: 129*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -14 - -27) + -42.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:51 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26037 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*2*(-24)\/(-2). Let t be (480\/(-56))\/((-1)\/(-7)). Let w be 2\/((-245)\/t + -4). Solve l + n = -o, l + 4*o = -l - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00778511 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 - 4)) + (-278 - -281)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2922*p + 2522*p - 1 + 1 - 6059*p)*(3*p + 2*p**2 - 3*p).\nAnswer: -12918*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2302, 150, -1\/5, -3?\nAnswer: -3\/2302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 + 5)*(-t - 2*t + 6*t)*(12 + 17 + 1) to d + v*t and give v.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-99))\/((-2)\/3)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10*0.021\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.8323 * -843\nAnswer: -4073.6289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.02. Let j = n - -0.32. Let a be (-4)\/(-56)*10 + -1. Put a, j, 0.5 in decreasing order.\nAnswer: 0.5, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(-3893670)*198467 - (-3)\/(-5) and 89\/12?\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 + (-65)\/(-25))*(104 - -6) and 52.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60\/51403 or -1?\nAnswer: -60\/51403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*z + 1. Let f = -10 - -13. Suppose -z*p + 3*h + 13 = 0, 0 = -f*p - 0*p - 4*h + 16. Solve k = -p*l - 1, k + l + 0 - 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r + 204. Let o be y(-6). What is the greatest common divisor of o and 4050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 12) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 66*y = -119*y + 945 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*h - 74550, 39*h - 74542 = 37*h + m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7837 = -11*r - 7914 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30015198 divided by 6?\nAnswer: -5002533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/152 + 132\/(-190)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 551*k - 7. Let j be n(4). Suppose 5*v - 408 = j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 17 + 8)*(171*q - 14*q**2 - 171*q + (-2 - 2 + 5)*(2 - 2 + 2*q**2)) + (-45 - 5*q + 45)*(2 + q + 0 - 1).\nAnswer: -521*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -786992.46 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49087676 divided by 4462516?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4442, -4428, -4404, -4370, -4326?\nAnswer: -4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 4*t**3 - t**2 - 2*t - 2. Let u be c(-1). List the prime factors of (u\/(-5))\/((-3)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002011100111221 (base 3) to base 16\nAnswer: -ec78f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtmttmmmm. What is prob of picking 3 t and 1 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 + 24*t - 12. Calculate the remainder when 86 is divided by i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139730 divided by -5\nAnswer: 27946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 28040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88427641*n**6 + 300*n**2 - 11033*n + 1 wrt n?\nAnswer: 10611316920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:19 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487892 + 1420504 + 1610893 = 15*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 x when four letters picked without replacement from qqqxxxxx.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 + 164 = 23*p + 385. Which is the nearest to 8\/23? (a) p (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 919393.1 meters?\nAnswer: 919393100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.7, 2\/5, 0.02, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 10*y. Let v be s(4). Let i = v + 17. Suppose -4 = -i*k + 5. Which is bigger: k or 2\/59?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 16. Suppose 0*y + 24 = x*y. Suppose y*h - 2*h = -2*r + 140, -3*h = 2*r - 106. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111122221 (base 3) to base 5\nAnswer: -304321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 - 3*c. Let p(k) = -3*k**2 - 2*k. Let g(r) = -4*a(r) + 5*p(r). Give g(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odum when four letters picked without replacement from ofudwdmw.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.29 and 0.03.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 226\/120 - (-78)\/(-585). Are 3 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-208)\/65)\/((-2)\/10). Suppose 10 = -r*b + 17*b. Calculate the remainder when 28 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5)\/((-5)\/(-150)). Let h be 3\/(-6)*(0 - 18). List the prime factors of (h\/s)\/(6\/116).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20321311112 (base 4) to base 11\nAnswer: -1354663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-3*(sqrt(12)\/sqrt(4))**2 - (sqrt(243) + -2*sqrt(243) - sqrt(3)) - ((sqrt(3)*-2)**2*3 + 2 + sqrt(12)\/sqrt(4))).\nAnswer: -143 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47651*n**3 - 7883*n**2 wrt n?\nAnswer: -285906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 103?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from oonvfvfotforft?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2485 (base 13) to base 9.\nAnswer: -7084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375980908 by -325243.\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4, 1, -834, 2 in descending order.\nAnswer: 4, 3, 2, 1, -5, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 314 = d, 0 = 5*i - 2*d - 1076 + 291. Let n = i + 18. Suppose 5*u = -5*o + 105, 4 - 20 = 4*u. Calculate the greatest common factor of n and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322 and (8 + -123)\/(18\/(-72))?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 11. Let i = 11\/15 + -5\/6. Let s be (2\/10)\/(((-9)\/(-75))\/3). Which is the third biggest value? (a) s (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2. Let m(s) be the second derivative of s**5\/12 + s**3\/6 - 6*s**2 - 19*s. Let g(c) be the first derivative of m(c). What is g(k(j))?\nAnswer: 20*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from bmabbmr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27 + 1093)*-4*(-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Let v(t) = -92*t - 622. Let q be v(-48). Let h be (-240)\/(z - q\/1900). What is h rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 186 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -95, -154, -213, -272?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5302989 to the power of 1\/2, to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 69*u - 9. Suppose -4*q + 3 = 2*j + j, 4*j - 2*q - 4 = 0. Let m be h(j). Calculate the greatest common divisor of m and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Simplify ((sqrt(288) - 6*(sqrt(288)*-1 + sqrt(288)))\/(4*3*(sqrt(4) - sqrt(4)*-2)) + 0)*-5.\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 28*b**2 + 10*b - 62. Let f be k(7). Which is smaller: -11 or f?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272706635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 22, -2, -1, 70, 1\/5 in decreasing order.\nAnswer: 70, 22, 0.4, 1\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/75 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 16 = -0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67088.\nAnswer: 2, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/48)\/1 - (-7)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i**2 - 1 - 10*i**2 + 8*i**2 + 6*i**2 + i. Calculate the remainder when d(1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40882*n = -40603*n - 13950 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*m)*(-1 + 6 - 3) + 12*m + 1 - 3 - m as b + i*m and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 507, -1.4, 3.41, 0.4 in increasing order.\nAnswer: -1.4, 0.4, 3.41, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p - p**2 + 2*p**2 + 12*p**4 - 3*p**2 + 0*p**4 wrt p?\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -5*t + 0 - 3\/5*t**5 + 7\/4*t**4 - t**3 - 3\/2*t**2. Factor v(j).\nAnswer: -3*(j - 1)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 65*g**2 - 43*g + 82. What is the units digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 35*p - 105. Let y(a) = -9*a + 26. Let u(n) = 4*m(n) + 15*y(n). Find the first derivative of u(l) wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 4*q + 7. Let n be l(6). Let f = 2\/763 + 39666\/3815. What is the common denominator of f and ((-87)\/7)\/((200\/28)\/n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -30, 7, 70, 165?\n\"Answer: n**3 + 4*n**2 - 2*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 780456.7 decades?\nAnswer: 7804.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 9 = -3*u + 3*w, -u + 5*w - 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 5\/6 (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87010 or 86967?\nAnswer: 87010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 7 + 5. Let n = 24 + j. Calculate the greatest common factor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p - 14. Calculate c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.33059232+-5\nAnswer: -4.66940768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + 22 + (16 - -25 - 25)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -18*x - 196. Calculate i(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5400 and 1399680?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.8 - 0.8. Let j = u + -8.000029. What is j rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:52 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -194 + 37*p + 62*p - 37*p + 182. What is the units digit of z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(4131\/85)\/27\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 14. Let f(w) = -5*w - 1. Let v(h) = -16*h - 3. Let z(r) = 30*r + 88. Let s be z(-3). Let t(b) = s*v(b) + 6*f(b). Give t(j(l)).\nAnswer: 2*l - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 41360820.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 574*n + 0 - 18 as c*n + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*p**2*y - 7*j**3*p**2*y - j**2*p**2*y + 2*j**2*p*y - 2*j*p**2 wrt j?\nAnswer: 24*j*p**2*y - 42*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {r: 7, w: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18186 is divided by 172?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -33. Let w = -40 + p. Which is the smallest value? (a) 3 (b) -1\/4 (c) -0.4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1722 and -281349 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((12\/(-9))\/(20\/(-30))). Put 3, 4, 1, f in descending order.\nAnswer: 4, 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 42. Suppose -2*a = -2*r - 10, 5*r - 4*a + a = -j. Let i be r\/(20\/1636) - 3*-1. What is i rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-15) - 4\/6. Let f = s + 6. Let n(v) = 8*v + 5. Is n(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 4*b - 24 - 40.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-15 + -41 + -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:40 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -2*v**5\/15 + v**3\/3 + 6*v + 186. Let d(a) be the third derivative of u(a). Let m(h) = -h. What is m(d(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 160*l - 192. Give z(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l, -3*x + 5*l + 36 - 10 = 0. Let d(f) = 2*f - 42. Give d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by 6.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/36*(-2)\/(-8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1504 + -215000?\nAnswer: -216504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220069 and 11221?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.39 + 0.39. Let r = g + 16. Suppose -5 = w - 4. Which is the closest to w? (a) -0.5 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*n**4 + 848*n**3 + 570*n**2 + 22322*n + 953 wrt n?\nAnswer: -624*n**2 + 5088*n + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1835443\/42 + -43704. Calculate the common denominator of -29\/324 and x.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-78)*3 - 1188\/(-286). Suppose 0 = -g*k - 8, -3*k - 208 = -2*v - 0*k. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:37 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-6))\/(2\/6). Suppose -b + u*r + 6 = -10, -5*r - 48 = -3*b. Solve 3*w + w + b = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3941 + -35512\/9. Calculate the common denominator of -75\/214 and i.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2\/8 + 41*u\/4 + 4 = 0.\nAnswer: -16, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3. Let b(t) = t - 4. Let o be b(7). Suppose -3*f = -0*w - 3*w, -o*w - 9 = 0. Sort l, f, 5 in increasing order.\nAnswer: f, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -2531235\nAnswer: 2\/168749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34304 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -336258, -4 in decreasing order.\nAnswer: 9, -4, -336258","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1936*g + 285*g + 1 - 477*g)*(0 + 5 - 2)*(0 + 2 + 0) to u*g + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -2*sqrt(171).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1564*d - 51. Let m(l) = 4483988*l - 146234. Calculate -3*m(t) + 8602*z(t).\nAnswer: 1564*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 71 + 56 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 165\/9)*255000. What is u rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711a6b (base 13) to base 7.\nAnswer: 31240161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708103.\nAnswer: 11, 64373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - -9) - 10 - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 339029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -558 + 670. What is the greatest common factor of 56 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -89. Let k be 8\/(-2) - 32835022\/z*-6. Round k to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2386.925822 to two dps.\nAnswer: -2386.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 1.13527.\nAnswer: -0.43527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146 and 770232?\nAnswer: 56226936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 14) to base 15.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + 1. Let j(t) = 5*t**3 - 7*t**2 + t + 30. Let s(h) = -6*i(h) + j(h). Does 6 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242 or 5707415?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 7*t**2 + 14*t + 4. Let w be f(-6). Is w less than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/12 + (-90)\/(-24). Solve 2 = 2*t, 2 = 3*q + 4*t + j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((2 - -2) + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*d - i - 11, i - 19 = -4*d. Suppose 15 - 3 = d*w. Suppose 2*c - 9 = -w. Solve -2*p = -c*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 3*t - 2. Calculate j(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3304.4 * -3\nAnswer: 9913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrrrryfrfrrrrvyyyf. What is prob of sequence vy?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/4 (c) 18 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 108 (b) -7\/9 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**3 + 45*o**3 + 2*o + 1 + o**2 - 17*o**3 as q + a*o + w*o**2 + d*o**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -11) + -9 - -20. Solve -b*q + 9 + 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 26 - (12 - -11 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*x + 5 = 22, 3*k + 2*x = 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -16. Let l(d) = 7*d**2 + 3*d. Let j be l(-2). Let p = 26 + j. What is the greatest common factor of p and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 264*n**2 - 2*n - 2. What is the hundreds digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23483329 is divided by 301.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7211*v**4 - 577*v**2 + 14072167*v?\nAnswer: -86532*v**2 - 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-28 - -11) + -2 + -47 - 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6856332, -6856334, -6856336, -6856338?\n\"Answer: -2*z - 6856330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 0, 13 = 3*h - 4*n + 1. Let m(u) = -h*u + u - 3*u + 3*u. Let g be m(-1). Solve 0 = -4*k - g*d - 13, 3*d + d = -4*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/15, 4, -29.4, 3, 0.5, -1.\nAnswer: -29.4, -1, -14\/15, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 7) to base 16.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d - 3 + 2*d + 7*d. Let q(a) = 1 + a - a - a. What is 2*j(n) + 5*q(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18592*v + 9861*v - 7983*v.\nAnswer: 20470*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2454385, 4908767, 7363149, 9817531?\n\"Answer: 2454382*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 146\/2749 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 18\/31 (b) -1 (c) 14126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 87*g - 82*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*c + 12 - 243*c + 2*c**2 to t*c + h + l*c**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 566 + -544. Let w(a) = 2*a**2 - 43*a - 3. Let n be w(g). Calculate the highest common factor of n and 1349.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 262427976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.764002665 + 0.764. Round y to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*g, 0 = -5*g - 0*g - 5. Suppose x - z*x + 393 = 0. Suppose -4*h + 174 = -b - x, -141 = -h + b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -71*y**4\/12 + y**3\/2 - 3*y**2\/2 - 2*y. Let v be m(2). Let f = -150 - v. What is the remainder when f is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from huuhhhuuuuuuh?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 7:39 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 2. Let k be u(-2). Let g(n) = -n**3 - 6*n**2 - 4*n - 4. Is 5 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*z**4 + 974878*z**3 + 101888667*z?\nAnswer: 84*z**2 + 5849268*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let a(f) = -f**2 + 5*f - 5. Let v(d) = -2*d + 2. Give o*a(t) + 5*v(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let g be (15\/(-10))\/(t\/4). Which is the second smallest value? (a) 2\/5 (b) 1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 19 = -2*h, -37*h = 2*z - 33*h + 26 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 64, 97, 128?\n\"Answer: -w**2 + 38*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*3 - sqrt(18))**2 + (-2 + ((sqrt(18)*-2 - sqrt(18))\/sqrt(9) - sqrt(2)))**2.\nAnswer: 16*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5. Let q = n + -0.5. Sort 5, 2, q in decreasing order.\nAnswer: 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0604 + 33.2696. Let a = -0.33 + n. Let t = 32.8 - a. Is -18 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 8 = 4*z + 18, -2*r - 4*z - 74 = -11*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.0569.\nAnswer: -0.2845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/6 + 55*s**4\/6 - 19*s**3 = 0. What is s?\nAnswer: -57, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-338)\/(-39) - 45\/5\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -722, -720, -720, -722?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4\/9, 16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 22525 = -10455 + 8436. Calculate the highest common divisor of t and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -6, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3504 + -6)\/6 - -11.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1974, 91, 3532, 8349?\n\"Answer: 688*w**2 + w - 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -8, -49, -5\/3, 3 in ascending order.\nAnswer: -168, -49, -8, -5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -28.9.\nAnswer: -14.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 + -7857?\nAnswer: -7857.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 847 and 4629625?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -31972a16?\nAnswer: 31972a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + ((-54)\/3 - -15). Solve -3*p + k = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/7 + 61*l\/7 + 40 = 0.\nAnswer: -56, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + sqrt(700) + (-2 + sqrt(700) - sqrt(700))))**2 + sqrt(700))*-1.\nAnswer: -704 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k - 6. Let c(d) = 30*d. Calculate r(c(s)).\nAnswer: 180*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47437 by -13.\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:41 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-63)\/(-28)) + (-8)\/(-6). Let y = -75 + 381\/5. Do g and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 + 389606*g\/3 - 37948208809\/3.\nAnswer: -(g - 194803)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = d. Suppose b - 60 = -d*b. Calculate the highest common divisor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256*i*p**2 - 27*i*p + 2*i + 103022*p**2 wrt i.\nAnswer: 256*p**2 - 27*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 6, h: 2, a: 4, j: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -443, -132, 1, 7\/3?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 569 - n + 0*n.\nAnswer: -n + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -101, -68, -1, 112?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346898 is divided by 124.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10002520 and 43318?\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/15 + (-6)\/45. Let i be 109 + -5*1\/(0 - 1). Calculate the highest common divisor of n and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v + 312 = -73 + 189. Solve -7*n + v*n - 4*k - 16 = 0, 4*k = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17184 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdyx when four letters picked without replacement from dyxdyyydyx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1 + 3) - -76. Suppose -59 = -5*u + l. Suppose z - 2*f - f = 1, -u = -3*z + 3*f. What is the greatest common divisor of 65 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x**3 + x**2 + 19*x - 12. Let j(w) = 24*w**3 - 2*w**2 + 22*w - 14. Give -7*j(z) + 8*r(z).\nAnswer: 16*z**3 + 22*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, 2 in ascending order.\nAnswer: -15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2037779479.0108 - -23?\nAnswer: -2037779456.0108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*35\/(-875))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/43)\/b*b\/(b**(2\/17)*b))\/((b\/(b**(-3\/13)*b))\/(b\/((b*b\/b**(3\/7))\/b))))**23 assuming b is positive.\nAnswer: b**(193798\/66521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 57*k + 5. Let p be f(2). Let s be (3 + -2)*(-1)\/((-2)\/68). What is the greatest common divisor of s and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -13.37 and 5072.894769.\nAnswer: 5059.524769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*v - 2*v - 13, -2 = -2*s + 2*v. Factor 3*h**s - 2*h**2 - 2*h**3 + 3*h**2 - 2*h**3.\nAnswer: -h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101111 - 1000?\nAnswer: -111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.26?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -56*p**3 + p**2 + 6*p + 4. Let o be d(-4). Suppose 0 = -65*b + 63*b + o. What is b rounded to the nearest 10?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -620*d + 3103. Calculate m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -38*b + 20*b + 45*b. Let a(f) = -f. Determine s(a(q)).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 6*v. Let p be h(-7). Let l = -5.04 + 5. Let n = -0.96 + l. Is n != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2759 = -5*g - d, -4*d - 132 = g - 661. Solve -364 + g = -27*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205476.4l to millilitres.\nAnswer: 205476400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1001\/65)\/7)\/(6 + 118\/(-20)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/30 - p**5\/20 + p**4\/24 - p**3\/3 - 5*p**2\/2 + 21*p. Let q(a) be the first derivative of l(a). Give q(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2394*h**4 + 2*h*l**2 - 6976*l**2 wrt h?\nAnswer: 9576*h**3 + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122897 rounded to four decimal places?\nAnswer: 0.1229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 7*z**2 + 7*z - 5. Let p be c(-8). Let s = -25 - -39. Let n be 21\/s*2\/p. Solve 5*g + 28 = i, 2*g + n + 6 = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*i + 8877, -3*g - 8*i = -4*i - 13358. What are the prime factors of g?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -194, -312, -510, -788, -1146, -1584, -2102?\n\"Answer: -40*c**2 + 2*c - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.8. Let p(n) = n**3 + n**2 - 8*n - 11. Let a be p(-2). Suppose 20 + a = 7*q. Sort 13, v, q in increasing order.\nAnswer: v, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 5 (d) -4 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87331 (base 11) to base 4.\nAnswer: -132331322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from bub.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 4*q - 3. Let f(c) be the third derivative of -c**5\/60 + c**4\/24 + c**3\/6 + 415*c**2. Determine -3*f(u) - t(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5400 - 5399. Which is smaller: -2\/7411 or q?\nAnswer: -2\/7411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*3 - sqrt(5)) + (sqrt(10)\/sqrt(2) + 5)**2 - (-4 + sqrt(720) + 0 + sqrt(720)).\nAnswer: -12*sqrt(5) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.5, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w)\/(w**5\/w))\/(w**(2\/11)*w**(-1\/32)) assuming w is positive.\nAnswer: w**(-6249\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**2 - 5\/12*s**4 - 1\/6*s**3 + 0 + 161*s. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + p**2 + 7. Suppose 0 = 4*t + 3*x - 13, 8 = t - 3*x - x. Let d = t - 0. What is the remainder when k(0) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 6986?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-12)\/(-16) - 4. Let x be 0 - p\/((-1)\/14). Is x greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10005 - -10220. What is the highest common factor of 355 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -22 - 92 - -12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392145881.37 - 0.4.\nAnswer: -392145881.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-six fifths of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 - 0.23733492387?\nAnswer: -365.23733492387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0555 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxyxexeyhxephhx. What is prob of sequence hehy?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/15)\/((1\/18)\/(16*(-14)\/9856)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/46 - (-335)\/115. Find the third derivative of 777*t**3 + m*t**2 - 751*t**3 - t + 16*t**2 wrt t.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:03 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18281 = 20*c - 18381. Let a(b) = b - 1. Let o(x) = x**2 - 8*x + 8. Let j(u) = -3*a(u) - o(u). Calculate j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.66 and 197561?\nAnswer: -327951.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc1 (base 13) to base 12.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5542254 + 3?\nAnswer: 5542301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11929 is divided by 1704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*m = 2*f - 16, -2 = -4*f + 2*m. Solve -f = -8*y + 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 3:59 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13284 is divided by 1003?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 4*r - 1. Let l be n(-5). Suppose -l*j + 32 = -0*j. Solve 4*d + j = -h, 0*h - 6 = 3*h + 3*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(6642\/(-495))*9?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*x**3 - 1585480*n**3*x + 2*n*x**3 - 31*x**3 + 3*x**2 + 7654*x wrt n?\nAnswer: 6*n*x**3 - 9512880*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 397 = 238. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 divided by -5097\nAnswer: -194\/5097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 - 103. Let a be 0*(7 + o)\/8. Suppose 10*l - 6*l + 324000 = a. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -27. What is the remainder when x is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 7*a - 4. Let n be p(8). Suppose -n*h - h = -20. Suppose h*w - 20 = -0*w. Solve 1 = -w*g + 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115015300 - -1?\nAnswer: 115015301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4 - 534*n**3 + 13683*n**2 + 897120*n + 8467200 = 0.\nAnswer: -16, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2435138, -2435126, -2435102, -2435060, -2434994?\nAnswer: -2434898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*q - c = -7, 4*q + 3*c = -14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from sdjcsjucsscjuuuj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 3. Let m be w(4). Let t(u) = u**2 - 9. Let l be t(m). What is the greatest common factor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7839 + 11.3943.\nAnswer: 7850.3943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((5120\/100)\/(-8))\/(3\/5))\/((-50)\/(-225))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 20*j + 25. Let f be y(-17). Let v = f + -9. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29405, 1, -19.\nAnswer: -19, 1, 29405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78399685?\nAnswer: 5, 7, 13, 172307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173 - 284. Let z = o - -553\/5. Which is the closest to z? (a) -1 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -3.6, 3, 8\/15, 0.2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 4.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13699004611 and 0.5.\nAnswer: -13699004610.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 - 2*b**2 - 11*b + 49. Let n be m(6). Let j = 1672 + n. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*k + 156*k - 37*k + 37*k - 2788 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 2532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2*a - 17\/5*a**5 + 0*a**4 + 0*a**2 + a**3 + 42. Find the third derivative of c(z) wrt z.\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 9. Let d = 5 + 1. Let o(t) = -t. Let y(n) = d*o(n) - p(n). What is y(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/25? (a) 0.3 (b) -511 (c) -1 (d) -0.4 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22276499?\nAnswer: 7, 79, 40283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 630611 (base 8) to base 13\nAnswer: 74352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*m = -126. Let r = m + 42. Suppose 521 = 2*b - 7. What is the greatest common divisor of r and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 579 = 4*t. Let i(x) = -3*x - 1. Let s be i(-1). Suppose -5*d - s*h + 120 = 0, 5*d - 2*h - t = -3*h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1227 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*p + 6 = 0, 346*p = -3*c + 343*p + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*v + 40*v + 126. Let f = -61 + v. Let p(i) = 2*i**f + 4*i**2 + i**2 - 4*i**2. Let q(h) = -9*h**2. What is q(p(w))?\nAnswer: -81*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*a = -2466*a + 841*a + 49358 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*o**2 - 320*o**2 - 26 + 26.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9694492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.975 - -1. Let p = -4.275 - d. Let f = 4.29924 + p. Round f to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (3 - 7)\/(-2). Suppose 3*r = -2*s + 129, 2*s - o*s - 86 = -2*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4796, -4867, -4984, -5147, -5356?\n\"Answer: -23*g**2 - 2*g - 4771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 400 = -95. Let v = 27 - 18. What is the remainder when r is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179, 361, 545, 731, 919, 1109?\n\"Answer: d**2 + 179*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6011.\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c + 75 = 3*r, -4*c = r - 41. Let a = 549 + -573. Let f = r - a. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2283 divide 24359610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/28)\/((-6)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.5, -1431 in ascending order.\nAnswer: -1431, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*r - 28*r - 2*r**2)*(4*r - 4*r - 3*r**2).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -13 + (-7 - (-17 - -1)) - 42.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.111*15\nAnswer: 1.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -5692289 at least as big as -5692289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 324. What is the remainder when x is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/135)\/(((-124)\/36)\/1)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(11 + 4*(-5 + 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**2 + 8*l**2 - 17*l**2)*(5*l**3 - 4*l**3 - 2*l**3).\nAnswer: 17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241133 - -427046. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 10*m + 11. Let j be f(-8). Suppose -5*g - 31*i + 28*i = 5, -7 = -g + i. List the prime factors of g\/j + 7506\/90.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 10, 2, -1, 195, -4 in decreasing order.\nAnswer: 195, 35, 10, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13434014 and 4?\nAnswer: 26868028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + -5342?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18 + 500\/36. Suppose r + 9 = m. Solve 0 = -r*w - 1 - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from cwscswvrsvvzc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - (318 - 328)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 3*x**2 - 5*x - 10. Is 32 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 5 + 2 + sqrt(99))**2 + 4 + -4.\nAnswer: 84*sqrt(11) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - (0 - -1)) + -88 + -6 + 104.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22*r + 2583 = 3*r. Calculate the highest common factor of r and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + -5 - (43 + 1 + -1). Find the common denominator of (g\/10 - -6)*(-298)\/(-24) and -145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34934 = 1206*n - 14432 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxbi when four letters picked without replacement from {f: 4, i: 1, x: 1, v: 3, b: 4, p: 6}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5206279773 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 4*i - 26. What is the tens digit of q(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (3 + -14 + 6). Let u(a) = 18*a - 52. Let o be u(d). Solve 0 = -4*l - 5*y + 1 + 3, -5*y = 2*l - o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**4 - 28520455*a**3 + 9037957897830*a**2 - 954690539140240980*a - 159115340911224920.\nAnswer: 5*(a - 316894)**3*(6*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is cce9 (base 16) in base 8?\nAnswer: 146351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 2*l**2 + 2. Let g be x(-2). Suppose 4*w + 2 = g*w. Calculate the remainder when 74 is divided by (-18)\/(-6) + (-16)\/w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p + 34. Suppose 0 = 12*j + 34 + 26. Let a(s) = -11*s - 23. Let t(y) = j*c(y) - 7*a(y). Let k be t(-4). What is the nearest to 0.06 in -5, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2037\/87832?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 3846*n\/13 - 1318680\/13.\nAnswer: 2*(n - 2220)*(n + 297)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011395495 rounded to six decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/((-1)\/9). Suppose w*q = 5*q. Let m(d) = d + 8. What is the units digit of m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5306 times 10\nAnswer: 5.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 11:50 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + g = -68, -4*f = -g - 10 - 80. Suppose 0 = -z + 5*c + 49 + 94, 4*z = 2*c + 518. Calculate the remainder when z is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j**(-3)\/j)\/(j**(-1)*j)**(-28))\/((j**(-1\/2))**(-1\/11))**(-1\/39) assuming j is positive.\nAnswer: j**(-5147\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1000010001111000100101110?\nAnswer: -1000010001111000100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*i**2 - 4400 + 4400.\nAnswer: -284*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 16 - 19. Let f(b) = 2*b - c*b + 5*b - 2*b. Let u(o) be the second derivative of 5*o**3\/6 + o. Calculate u(f(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.67217 (b) -2\/9 (c) -3\/5 (d) -3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -68*s**2 + s - 5. Let p be q(3). Let b = p - -366. Let h = -91 - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054 - 414 = -89*m - 339. Let s(j) = 5*j**2 - 4*j + 3. Let o(l) = -26*l**2 + 21*l - 15. Determine m*s(h) - 2*o(h).\nAnswer: -3*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by 2.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -3, 123.79, -51\/4?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 4 (c) -8 (d) 0.152 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-13 - -5) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521 + 333. Let l = 188 + v. Solve l = -10*c - 16 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -187, -651, -1263, -2029, -2955, -4047?\n\"Answer: -r**3 - 68*r**2 - 253*r + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 766 and 2681.\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + 2)**2 + (sqrt(13) - (sqrt(91) + sqrt(91) + sqrt(91) + -4*sqrt(91) - sqrt(91))\/sqrt(7)).\nAnswer: 14 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 2.6. Put o, -1\/7, -5 in increasing order.\nAnswer: -5, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -5. Let u = 11 + 7. Let i = u + x. Calculate the smallest common multiple of 10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 - 11*v - 11. Let n(y) = -23*y - 2 - 4*y**2 + 5*y**2 + 21*y. Give -4*b(h) + 22*n(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 895 and 38358805?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*g = -808*g - 936 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 + 52764*v**4 - 1527872*v**3 + 14217760*v**2 - 36849600*v - 52648000 = 0.\nAnswer: -1, 10, 13162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t = -48*t - 0*t - 65 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 29 = -29. Let k(m) = 3*m - 3 + 3 - m**2. Let i be k(3). Solve v = -i*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053801, 2107603, 3161405, 4215207, 5269009?\nAnswer: 6322811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 11, -0.2, 0.4, -20, -1\/6.\nAnswer: -20, -0.2, -1\/6, 0.4, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.759*5.\nAnswer: 8.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -87a2b (base 16) in base 4?\nAnswer: -2013220223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2148 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 21, -4, 128 in descending order.\nAnswer: 128, 21, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11926849 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 245*n - 2450.\nAnswer: -5*(n + 14)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - (sqrt(50)\/(sqrt(70)\/sqrt(7)) - sqrt(5) - sqrt(5))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -651 - -3263\/5. Let j(h) be the first derivative of 6 + 0*h**3 + i*h**5 + 0*h**2 - 4*h + 0*h**4. What is the first derivative of j(q) wrt q?\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Let m = 2 - l. Let u(y) = 3*y - 3. Let n be u(2). Which is the closest to 2? (a) m (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3584612.8 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/7 + 32*v**2\/7 + 76*v\/7 + 48\/7.\nAnswer: 4*(v + 1)*(v + 3)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1986 + 8.6686. Let j = r - -1.53. Sort -3\/4, -4, j in descending order.\nAnswer: j, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -4065\nAnswer: 1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14594839 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 113 - 112 - i**2 - 2*i**3 + 232.\nAnswer: -2*i**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 79573 = -57*h + 53*h, h + k - 19891 = 0. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1.221, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) 4\/97 (c) -3294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3\/2, -2\/37, 65, 1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 61*v - 260. What is i(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*i - 3 = -261*i. Let j(m) = -2*m**3 + 0*m - 3*m + 2*m + 7 - 5*m**2. Calculate the remainder when 72 is divided by j(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppippppppppp. Give prob of picking 3 p.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gssr when four letters picked without replacement from {z: 3, r: 7, g: 1, s: 2, f: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(5\/2)\/5. Let s be (1 + (-119)\/w)*2. Let o = s - 82. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 319.342 and -18344.751?\nAnswer: 18664.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*y - 34*y + 104*y - 34*y + 4*y**4 - 71 in the form k*y**2 + w*y**4 + i*y + s*y**3 + r and give r.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1308926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 43\/((-6192)\/(-6720))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 21*k - 4 = -4*w, -6 = -3*w + 3*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*g**3 + 824*g**3 - 372*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -173. Is 21 a factor of 8*1*q\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 8576.\nAnswer: 1\/8576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:12 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -11, 2, 31, 82, 161, 274, 427?\n\"Answer: v**3 - v**2 - v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 52755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13054 divided by -122.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**6 - 8*d**2 + 14*d**6 - 4 + 4 wrt d.\nAnswer: 1200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.00000078 - -21. What is k rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**12*v*v)**33 assuming v is positive.\nAnswer: v**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3 + sqrt(1377) + 0)*5)**2 - ((sqrt(187)\/sqrt(44))**2*-1 + 0)*-4.\nAnswer: 3600*sqrt(17) + 36008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*13930.\nAnswer: 139300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1802*r + 164*r**2 + 93*r**2 - 96*r**2.\nAnswer: 161*r**2 + 1802*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -12.6, -7, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 64.2. What is the smallest value in 2\/19, 1, v, 0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p + 6. Suppose -5*y + 0*o - 88 = 2*o, 3*y + 56 = -2*o. Let i be t(y). Let g = 668 - i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*p**2 - 195*p**2 - 191*p**2 + 761*p**2 - 189*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0233 - -1.9767. What is the nearest to i in -4, -2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.224 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5992872 divided by 3.\nAnswer: 1997624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9825*d + 15. Let g be t(11). Let a = 67940 - g. What is a rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*q - 12, p - 17 + 24 = -4*q. Let f be 194\/64 + -3 + 0. Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454 - 458. Let r = 105\/4 + -26. Which is the closest to -1? (a) g (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 39*g**2 - 358*g + 745. Calculate n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392793533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/21 + 5636*z**3\/21 - 3970562*z**2\/7 - 5*z - 18. Find a, given that v(a) = 0.\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-2*b**2 + 3 - 3) + 4*b**2 - 5*b**2 + 5*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19422*x + 1612026. What is z(83)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f - 148*f**2 - 575 - 54 - 341 + 378*f**2 + 202 wrt f?\nAnswer: 460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 17 + 11. Let q be 2*2*n\/4. Suppose 3*r - 464 = -2*g, -5*g + 194 + 119 = 2*r. Calculate the highest common divisor of q and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 634*b - 3. Let v be (-22)\/(-77) + (-52)\/(-14) - 3. Is g(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 26*b - 186. Let c be g(-6). Suppose 4*n - 910 = -c*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*c - 10*c + 10*c)*(3*c + c - 3*c) - 1 + c - c + c**2.\nAnswer: 32*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570 = -91*t - 1962 + 711 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 6:35 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6481274 = -1380481. Suppose -h = 3*x + 799415. Round x to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*r - 686, 12*r + 4*h = 16*r - 544. Solve 4*k = 27*k - r for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/4, -21, -0.1, -5786\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 108 = 16*r + 76 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89\/35 + 15\/7. Let m = 15645 - 15645.4. Which is the closest to f? (a) 1\/2 (b) m (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2679 - 1311 - 876 = -41*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 5*i**2 + 3*i**2)*(-i**2 - 4*i**2 + 3*i**2) + 0*i + 0*i + 2*i**4 - 2*i**4 + i**4 - 2*i**4.\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z - 16. What are the prime factors of (640\/(-4) - 2)*z\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 288 + 151e?\nAnswer: 17a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(468) + 0 + sqrt(468)) - ((sqrt(52) - sqrt(832)*-2)\/sqrt(4) + -2))**2.\nAnswer: 432*sqrt(13) + 9541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -67*l**2 + 94*l**2 - 20 - 42*l**2 as o*l + a + c*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {n: 3, j: 3, u: 4, w: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 2. Suppose -5*o + 21 = v, 4 + 3 = 2*v + 3*o. Determine l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.77352ml to litres.\nAnswer: 0.08277352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6178709681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17274644*f*x - 4431337*f with respect to x.\nAnswer: 17274644*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 82 and 82 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*t - 331 = 429, -3*t + 725 = 2*c. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**3 + 26 + 10*k**3 + 45 + 23.\nAnswer: 46*k**3 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16016\/(-7744) + 56\/(-32).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14. Sort -3, q, 3 in descending order.\nAnswer: 3, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 15736.\nAnswer: 2203.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 224 + 29 = 0. What is the greatest common divisor of 4 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Let i = 5 + -6. Which is the nearest to j? (a) i (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 10. Suppose v - d*v = -3*c - 15313, 4*v - 5108 = c. Let n = -9104 - c. Round n to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 10. Let g(i) = i - 10. Let l be g(c). Solve l = -2*y + 2 - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2\/7 - (3068559\/(-63))\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2010 is divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 24 = -5*h + 3*s, -5*s = -2*h + 28. Suppose h*z + 40 - 1508 = 0. Suppose 5*y + 3*a = z, -y - a + 2*a = -67. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86475, 172964, 259453, 345942, 432431?\nAnswer: 518920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 870, -355 in decreasing order.\nAnswer: 870, -3\/2, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxzxzxuxuu. What is prob of picking 4 x?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*f + 42*f + 43*f + 34*f + 36*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 24, 36, 64, 114, 192, 304, 456?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o + 2*b, 4*o - 2*b = -18. Let i(n) = 26*n + 8. Let r(j) = -9*j - 3. Let c = -10555 + 10547. Calculate c*r(v) + o*i(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292231 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 19*a - 8. Let x be r(8). Suppose -4*l = -5*n + l + 310, 4*l = x. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4962 - 54535\/11. What is the common denominator of n and -3\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 4 + 4 - 2 - 6.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.4 - -25.8. Let p = 3.6 + -0.6. What is the closest to -1 in 2\/15, p, v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 23*z**7\/42 - z**5\/20 - z**4\/6 + 7*z - 15. Let v(d) be the first derivative of y(d). Find the third derivative of v(t) wrt t.\nAnswer: 1380*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 14) to base 9.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -49 + (-1 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -31*g**2 + 4*g - 3. Let x(f) = -f**2 - 3*f + 3. Let k be x(-3). Let o be l(k). Is o\/(-8) - (-2)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/9 - 2612*f**4\/3 + 7636096*f**3\/9 + 76894592*f**2\/9 + 27401728*f + 246866944\/9 = 0. Calculate f.\nAnswer: -4, -2, 1964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.6769 millennia to centuries.\nAnswer: 176.769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 + 23*q + 29. Let m(i) = -i**2. Let z(x) = -6*m(x) - o(x). Let k be z(-17). What is k rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 3. Let c(g) = -5*g**2 + 7. Let k(z) = 6*c(z) + 14*p(z). Suppose 0 = 5*j + 2 - 12. Let w(i) = i**2 - 6*i**j - 2*i**2. Determine w(k(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110001100 - -100?\nAnswer: 111110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (-2 + 21) - (1697 - 1607).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 108 - 42 = 0. Suppose 2668 = l*v - 7*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 37*r - 213. Let p be b(7). Let n be -7*(p\/(-63))\/8. Solve 0 = g - 5*d - 24, -5*d - 21 = n*g - 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 3*l)*(-2*l + 0*l + 0*l) - 2 - 2*l**2 + 2 - 28*l**2 + 9546*l - 13 - 9546*l.\nAnswer: -34*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8152.2307 to the nearest integer.\nAnswer: 8152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 6. Let f(v) = 1 + 2*v - 4 + 4 + 7 - 1. Calculate -5*c(l) + 4*f(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102975 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 0, 1.7 in decreasing order.\nAnswer: 65, 1.7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from {j: 2, a: 1, r: 6, q: 3, w: 7}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1, 0.44, 190, 4\/5?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6030.922 and 7?\nAnswer: -42216.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27714 is divided by 3941.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6052 to 2 decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 19 - 45. Let v(b) = b + 0*b - 8*b**2 + l*b**2 - 2 + 10. Let a(d) = -15*d**2 - 2*d - 15. Calculate -6*a(q) - 11*v(q).\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -341 - -558. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t + 1. Let d = 11.5 + -14.5. Which is the second biggest value? (a) t (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*n - 12 = -181*n. Solve -n*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8563*j - 63 = -8572*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(612) + -4)**2 + -3 + sqrt(612) + 1 + -2 + -5)*-3.\nAnswer: -1836 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Solve j + v*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, i: 4, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-15 + 7 - -3). Which is the nearest to 1? (a) -3 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and -279621.\nAnswer: -279621.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5*c**7\/14 - 59*c**6\/6 - 107*c**5\/2 + 615*c**4\/2 - 2915*c**3\/6 + 605*c**2\/2 + 661*c. Solve h(r) = 0.\nAnswer: -11, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-264)\/(-40) - (16\/10 + -1). Let v be (2\/2 - 1) + -1. Let p = f + v. Calculate the remainder when 9 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8073990?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 + 365 = c. Solve -4*n - c = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose c*i = j + 88 - 11, -37 = -2*i - j. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 49*t. Let b(x) be the second derivative of 0*x**2 + 35*x - 2 + 1\/12*x**4 + 0*x**3. What is j(b(m))?\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 3*f**3 + 0*f**2 + 0*f**2 + 12*f**3 + 3*f - 2*f**2 - 3 to the form c + k*f + h*f**3 + p*f**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40085347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -84. Suppose r*q + 363 = 9*q. Let z = 122 - q. Sort -1, 5, z, -4 in descending order.\nAnswer: 5, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (sqrt(891) + -1 + sqrt(891) + (sqrt(891) + 1 + sqrt(891) - sqrt(891)) - sqrt(891)*1*4)*2))**2 + 5.\nAnswer: -288*sqrt(11) + 14277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3124 and 2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.86 + 19. Is -1\/2 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16 + 1218\/(-1008)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 4*f**2 - f**2)*(-2*f - 2*f**2 + 2*f) - 5*f**4 + 3*f**4 + 3*f**4 + 42*f**2 + f**4 - 19 - 42*f**2.\nAnswer: 6*f**4 - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(sqrt(152)\/sqrt(8))**2 + sqrt(38)\/(sqrt(18)\/sqrt(9))).\nAnswer: sqrt(19) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 12\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/320 + 31\/(-30) + 63\/(-216)*-92?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*g**3 + 3\/4*g - 3\/4*g**2 + 3\/4 = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -108\/41 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 105 (b) 2 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43027.16ns?\nAnswer: 0.00004302716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*j**2 - 426*j**2 + 216*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20051 - 14460. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385996, 385989, 385970, 385933, 385872?\nAnswer: 385781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001282118 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11128, 42435, 93908, 165547, 257352, 369323?\n\"Answer: 10083*j**2 + 1058*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 4 - -7 - ((-17 - 4) + (-2 - -12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 5846 + 5846 - 4*k + 2*k. Let r(z) = -31*z**2. Calculate r(n(t)).\nAnswer: -775*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 48 + 4*k + 48)*(-148 + 33 - 10 - 62) to y + i*k and give y.\nAnswer: -4301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (-4 + 3 - 67) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3098*p - 167. What is the units digit of z(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.9 - 50.900869. What is k rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226.6 - 227. What is the smallest value in b, -6, -4, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 102 = -112. Suppose 4*d = -5 + 1, -5*d = -5*v + 5. Suppose v = 34*c - 30*c - 8. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3135.994 litres?\nAnswer: 3135994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 692*o**2 + 291*o**2 - 1585*o**2 + 304*o**2 + 287*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7002063 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2160 + 13?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -48. Which is the third smallest value? (a) -3 (b) -1\/12 (c) v (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -434 - -431. Let f be (3 - 1) + (-21)\/5. Do f and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5325 and -5323 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide -1 + 27916\/(-63)*(-36)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207436?\nAnswer: 2, 51859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4243115 to the power of 1\/2, to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from hwhwfi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(4\/21)*i))**4\/((i\/i**(-29))\/i**(15\/4)) assuming i is positive.\nAnswer: i**(-2269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8968 and -68\/1947.\nAnswer: 295944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2040*m - 4093*m + 2 + 2055*m.\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (267 - 511 + 280)*(3*k - k - 4*k + (k - 5*k + 5*k)*(0 - 2 + 1) - 1 + 2*k + 1) in the form m*k + b and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (29\/1)\/1. Let z = 41 - g. Let i = z - 7. Solve 0 = -3*r - i - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2638.636819 - 2654.6367. Let z = -16.4 + 0.4. Let k = a - z. What is k rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*y - 10, 3*y - 4*y = -4*w + 5. Suppose 3*d = 4*m + 5147, -d + m - 4*m + 1694 = w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 4219976.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.636 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2 - 0) + (-2)\/(-3). Which is the third smallest value? (a) m (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/40)\/(-7)*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -588 + 587.9838. Let g = h - 0.2838. Which is the closest to 2\/7? (a) 3\/4 (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 35 = 39. Let m be ((-54)\/4 - -2)*-4. Suppose 2*j + 5*s - m = 0, -42 = -0*j - 2*j - 4*s. What is the remainder when c is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 97*o + 13. Let c(u) = -6*u**2 + 6*u. Calculate c(m(k)).\nAnswer: -56454*k**2 - 14550*k - 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**4 + 94900*c**3 - 664110*c**2 + 1043540*c - 474325 = 0.\nAnswer: 1, 5, 18973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 126. Suppose 6*f - 3*f + 54 = 3*l, 3*l - q = -5*f. Suppose -l = -2*j - 5. 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 hundreds digit of (147961 - (-6 - -3))*(700\/80)\/35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 675*l + 24. Determine a(-1).\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 15 = 4*c - 2*g, -c - 4*g = -1. Let x = 8 + c. Suppose -x = 5*l - 63. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30309*u**2 + 6*u + 42 wrt u.\nAnswer: 60618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48133193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 289779 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 26*o + 15*o + 1063*o**2 - 530*o**2 - 535*o**2 - 45*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(288) + -3).\nAnswer: -48*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.864868852884 and -0.43.\nAnswer: -1.294868852884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50123.89 micrometers in meters?\nAnswer: 0.05012389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (8 + -4) - -3. Suppose -4*u - 5*y + 192 = -44, -k*y + 170 = 3*u. What is the lowest common multiple of 8 and -3 + (-18)\/(-5) - u\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -78, -3 in ascending order.\nAnswer: -78, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(1 + b - 1) + 4*b + 0*b - b + 8*b + 10 - 10.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - p + 143 + 215, 2*p = 3*k + 212. Let t = 84 + k. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -3, 3, -114.8, 1\/3 in descending order.\nAnswer: 3, 2.5, 1\/3, -3, -114.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2391*h. Let u(j) = 23*j. Calculate u(z(i)).\nAnswer: -54993*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1664\/1287 + (-2 - 120\/(-66)). Let m be 1 + -1 + (-2)\/(-5). What is the nearest to m in j, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 4*j**3\/3 - 4*j - 22. Suppose h(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 2 + -1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4062 + -434?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/104116721 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 340849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432505.\nAnswer: 5, 17, 19, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5397187?\nAnswer: 107, 50441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3958, 0.1.\nAnswer: -3958, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b (base 12) in base 2?\nAnswer: 101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 1)*1 - (sqrt(72) + 1)*-5)*-2 + 3)**2.\nAnswer: 1296*sqrt(2) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8934215 years?\nAnswer: 0.008934215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 8 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-30))\/(2\/5). Let z(y) = y**3 + 3*y**2 + 3*y + 3. Let o be z(-2). Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 3*g)*(-26*g + 68*g - 17*g) - 2*g + 2*g - 2*g**2 - 4*g**2 + 5*g**2 + 2*g**2.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16451650.\nAnswer: 2, 5, 89, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/30*(-2560)\/(-400).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741.\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 4*a**2 - 3*a - 3. Let h(l) = 6*l**2 + 4*l + 4. Let j(y) = 7*y**2 + 5*y + 5. Let g(d) = -6*h(d) + 5*j(d). Give -3*g(u) - o(u).\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190 + 144. Let n = 43 + a. Sort -0.4, n, 0.5, 2\/9 in increasing order.\nAnswer: n, -0.4, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 2942*h + 57280. Give f(19).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2 + 12. Suppose 2*z - l = -14, -a*z = 3*z + 5*l + 35. What is the remainder when 17 - z\/(7\/(-3)) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuw when three letters picked without replacement from {i: 6, u: 2, w: 11}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.61 in -12, 0, -1, -0.5, 3, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00024885 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25539*l - 25514*l = -925 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3 + 833*h**2 - 115*h - 90576611.\nAnswer: 6*h**2 + 1666*h - 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 2*f - 22, 0 = -4*z + f - 63 + 52 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267 times -0.088?\nAnswer: 0.023496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*c - c + 93 = -5*h - 0*h, 2*h = c - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.8 - -23.6. What is the nearest to -0.4 in z, 0.2, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - ((22 - 3) + 8 + -39 + 28 - 2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*k + 393, 4*k = 2*k + 5*d + 405. What are the prime factors of k?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(50) + sqrt(50))*3 - (sqrt(150)\/sqrt(3) + -1))*-4.\nAnswer: -100*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -10. Let a(z) = 26*z - 5. Let n be a(3). Let m = n - 51. Calculate the remainder when m is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 - (-152 - -190 - (10 - -2)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11426 - 3163 - 27819 = -1178*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16684861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y*y)**(-2))**(4\/31) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 y when four letters picked without replacement from bbbyybbbbbbbbbby.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829167 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f = 131*f - 61. Let p(k) = -4*k**2 + 3*k + 1. Let m(r) be the third derivative of -r**5\/60 + r**4\/24 - r**2. Calculate f*p(c) - 3*m(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 - 417 = -n. Suppose n + 94 = -7*y. Round y to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-24) + 7\/(-9 - 75). Solve -50*y + 53*y - 9 = m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -11) + (-23 + 27 + -18 - (-8 + -50))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 = 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32152 by 2207.\nAnswer: -32152\/2207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 0, -2\/15, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -42, -712, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 9:28 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*b = -0*y - 23, -b + 24 = 5*y. Suppose -15*n = -y*n - 530. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -4, 0.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 42*k - 56*k. Solve 0 = -3*c + 1 + k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906 - 910 = l. Let f(z) = -z + 1. Let w(c) = 64*c + 4. Let g(n) = f(n) + w(n). Let r be g(l). What is r rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/11 + 3902*x**2\/11 - 950624*x\/11 - 476288\/11.\nAnswer: -2*(x - 488)**2*(2*x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90992 by -93.\nAnswer: 90992\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j + 24. Let d(h) = -h**3 + h + 1. Let w(i) = 3*i**3 - 8*i**2 - 4*i + 4. Let n(r) = -2*d(r) - w(r). What is the tens digit of n(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6246, 12488, 18730, 24972, 31214, 37456?\n\"Answer: 6242*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 3*c + 33*c)*(3 + 4 - 5)*(7*c + 6*c - 6*c) in the form a*c**2 + o + n*c and give a.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/9, -41.6, 4 in descending order.\nAnswer: 4, 2\/9, -3, -41.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/17)*(l\/l**(-7))\/l)**38\/((l\/(l\/l**(2\/7)))**(-2\/7))**(-5\/4) assuming l is positive.\nAnswer: l**(228941\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 47 - (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14895\/104 + -1714\/13. Suppose 2*c + 5*o + 1842 = 3*c, 5*c = 2*o + 9095. Let j = 21875\/12 - c. What is the common denominator of w and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6813304 (base 9) in base 7?\nAnswer: -43123543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -13. Solve 0 = 3*r - p*u + 40, 5*u - u = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 9:07 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3969760.9 rounded to the nearest ten thousand?\nAnswer: -3970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652368157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10950865 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 455041\/180 - 2528. Let i(n) be the third derivative of r*n**5 - 2*n**2 + 0*n - 1\/18*n**3 + 0 + 0*n**4. Factor i(l).\nAnswer: (l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 5*z - 1. Suppose -3*v + 5*v = 8. Let d be a(v). Let m(s) = -6*s - 1. Let c(x) = 13*x + 2. Let u(q) = -4*c(q) - 9*m(q). What is u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127874097101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -31\/35 (b) 13 (c) -1167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199523 (base 11) to base 8.\nAnswer: -1124425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 5, 12, 2 in decreasing order.\nAnswer: 12, 5, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4918 + 4398. Let i be 21865\/42 - 1\/2. Let p = i + a. What is the closest to p in 2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*s - 16, 23*s = 25*s + j - 16 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.035, 5\/6, 0.17, -22\/35?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a factor of 1436285612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7029 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -3*i**5\/5 + i**4\/6 + i**3\/2 + i**2\/2 + 3517*i. Calculate u(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 27 = -4*r + 21, 3*o = 0. Let z(q) = -49*q + 14*q**2 + 49*q + q**3 + 8. Let l be z(-14). Calculate the highest common factor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6558.214ml to litres.\nAnswer: 6.558214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.09593 to two decimal places.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 39*z - 491. Give v(138).\nAnswer: 4891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {v: 4, j: 2, d: 4, f: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 35.916. What is s rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -36*c**4 + 8*c**3 + 40*c**2 - 8*c. Let d(v) = -24*v**4 + 5*v**3 + 27*v**2 - 5*v. Let o(g) = 8*d(g) - 5*l(g). Find the third derivative of o(y) wrt y.\nAnswer: -288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 - 19*z**2 + 4*z**2 + (2*z**2 - 5*z**2 + z**2)*(0 + 4 - 3) + 15*z**2 - 18*z**2 - 48*z**2.\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 22*l + 6*g - 20836, 3*g = -5*l + 51994. Is 31 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -545 + 3402 + 732*d**4 - 734*d**4 - 38*d**3 + 8*d**3 wrt d.\nAnswer: -8*d**3 - 90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -26041*w - 5937371. Determine u(-228).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 + -0.2. Let k = -9 - t. Suppose -9 - 6 = -5*j - 5*x, 0 = -j - 5*x + 19. Is j != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*g - 1\/2*g**2 - 3.\nAnswer: -(g - 3)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 109*w - 105*w - 54, 2*d = 6*d - 4 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2158777150 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 3*d**8\/34 + 164*d**7\/595 - 797*d**6\/1020 + 2*d**5\/255 + 55*d**4\/204 - 2*d**3\/17 - 1387*d**2. Solve j(h) = 0 for h.\nAnswer: -3, -2\/7, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345839\/(-9347)*(-118)\/37\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 2*b + 141 + 118 - 380.\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/3)\/(o\/o**(-1))*(o**(-5)\/o)\/(o**(2\/17)\/o)*((o**1)**(-7))**12 assuming o is positive.\nAnswer: o**(-4715\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-33))\/((-27)\/(-18))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33155443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.31458093 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 - 6*t + 6. Let j(v) = -3*v**2 + 88*v + 602. Let a be j(-7). Let l(x) = 460*x**2 - 161*x + 161. Give a*u(n) + 6*l(n).\nAnswer: 23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 664.5235mg?\nAnswer: 664523.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1 - -15)) + (4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/60 + l**4\/3 + 11*l**3\/6 + l**2. Let a = 17 + -9. Is j(a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-6 - -7) - (-47 - -32) - (-1 - -67).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11 - 29 = 0. What is the second derivative of -42*r**2 - 11*r**2 - 92 + 3*r + 53 - z*r wrt r?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -25. Suppose -24 = -5*x - b. Suppose 0*w - 18 = -w - x*v, -3*w = -3*v - 18. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11406, 11408, 11410, 11412, 11414?\nAnswer: 11416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((3\/1)\/45). Let f = q - 25. Let a = f + -10. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Let h = 0.114 + -55.114. Let t = h - -53. What is the third smallest value in x, t, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzuazaauzuzuzzz. Give prob of sequence uz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 2*o**2 - o - 6. Suppose 3*u - 8*u = 30. Let g(f) = -2*f**3 - 2*f**2 - f - 5. Let c be (7 + (0 - 2))*1. Determine c*a(t) + u*g(t).\nAnswer: 2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -67. Suppose j = -k + 484395 - 2495395. Round k to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(90)*5).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174372843 or 174372841?\nAnswer: 174372841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 27675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-315)\/135*4\/70.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*a + b, 2*a - 2*b = -3*a + 17. Let w(f) = 3 - 3 - 1 - a*f. Let g be 2 - 1\/(-2)*-2. Calculate w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-260))\/(87\/24).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7700598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p - 12*p - 8*p + 2*p + 5*p - 5*p + (1 - 1 + p)*(0 - 3 + 2) - 2 + 2 + 15*p as g*p + u and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5633*a**3 - 10*a**2 - 2*a + 432195 wrt a.\nAnswer: 16899*a**2 - 20*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(27)*-1)**2).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (588\/(-6370))\/((-12)\/80). Is x bigger than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 60, -22, -172, -414, -772?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 10:59 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 15*l**2 - 4*l - 13. Let u(y) = -y**2 + 12*y + 53. Let j be u(15). Let z(o) = 22*o**2 - 6*o - 21. Let k(v) = j*w(v) - 5*z(v). What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 1. Let p = 20 - 18.8. Let x = -1.2 + p. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4)*(-8)\/10. What is the second biggest value in k, -3, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394302 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + ((-8)\/2 - -2). Suppose 0*y = -j + 2*y + 2, -3*j - 3*y - 3 = 0. Suppose j = -3*x + 8*x. Solve x = -4*c + q*v + 12, v = -c + 3 - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 5*h = 33, -i = 5*h + 23. Find the second derivative of -9*g + g**5 - 11*g**2 + 3*g**2 - i*g**2 + 3*g**2 wrt g.\nAnswer: 20*g**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:31 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*b + 77, -20*b + 15*b = 3*y - 74 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/15 - 2\/(-2). What is the second derivative of 11*x**p + 3*x**3 + 9*x + 11*x**3 - 20*x**3 wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16331*x + 1551458. Give v(95).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*b - 0*b + 16, 3*k + 28 = -4*b. Let s be 2 + (-2 - (-2 - k)). Let d be 1*s\/(-4)*2. Solve -i = -d + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 537026*s\/9 + 13966732\/3.\nAnswer: -2*(s - 78)*(s + 268591)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -29. What is the third smallest value in -2\/7, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + 4*z + 1. Let d(m) = 0*m**2 - 1 + m**2 - 6*m + 5*m. What is -2*d(f) - h(f)?\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 639471, 1278900, 1918329, 2557758, 3197187, 3836616?\nAnswer: 4476045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 31*w. Let b(j) = -45*j**2 - 51*j**2 + 107*j**2. Determine b(m(p)).\nAnswer: 10571*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30330108\/60473360 - (-4)\/20. Let a = n - 6\/18437. Let d = 2\/41 + a. Calculate the common denominator of d and 65\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5 + -10 + 0 + 9 + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 20 = -2*z, 109*z - 55*z + 7 + 23 = -2*g + 56*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 + 4*i. Let a be x(-2). Suppose a*t - 15*t = 1. Let m = t + 1. Solve -m = -4*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*a - 0*u + 19, 0 = 2*a - 4*u - 14. Let f(i) be the first derivative of 2*i**2 + i + 1. Give f(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 6455 = -6476. Let s(i) be the second derivative of 15*i + 0 + 47\/20*i**5 + 0*i**2 - 1\/6*i**f + 0*i**4. Find the second derivative of s(c) wrt c.\nAnswer: 282*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m*m**(2\/3)*m))**42*m**(-2\/9)*m*m**(1\/4)*m*m*m assuming m is positive.\nAnswer: m**(-2375\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 11.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*r + l, -4*r + 184 = -4*l + l. Suppose -r = -4*s - 5*q, 0 = -2*s + 4*q - 0 + 2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1402*m**3*x**2 + 42*m**3 - 4*m**2*x - 3*m**2 + 409*m*x**2 + 18*m*x + m + 13*x**2 - 2*x wrt m.\nAnswer: 8412*m*x**2 + 252*m - 8*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.1 + 11. Let n = -0.807 - 4.193. Which is the third smallest value? (a) t (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/17)\/(d\/(d\/((d\/d**11)\/d)*d)))\/((d\/((d**(-6)*d)\/d))\/d*d)**(-29) assuming d is positive.\nAnswer: d**(3652\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = -1. Let u = h - 12. What is the remainder when 7 is divided by -2*5\/u*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1920304 and 3200.\nAnswer: 384060800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-8))\/(-6))\/((-10)\/28)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 120. What is the derivative of n*d**3 + 267 - 185 + 24*d**3 wrt d?\nAnswer: 426*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {l: 9, z: 4, k: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5858003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 577.7 - 579.7. Which is the closest to 1\/4? (a) -0.9 (b) k (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (41 - 40)\/((-2)\/(-10)). Let m(v) = 75*v - 145*v - o + 14*v**2 + v**3 + 82*v. What is m(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176921650?\nAnswer: 2, 5, 31, 114143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -39*n. Let d = 146 + -119. Let f(u) = -16 + 2*u + d - 11. Give h(f(a)).\nAnswer: -78*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2) + 3)*(-6 + 41). Suppose 31 = 3*u + 5*a, -2*u + x = -3*a + 46. Let p(c) = c**3 + c**2 - 2*c. Let m be p(-2). Solve -f + u - 5 = m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 133 - 53 = 0. Suppose 24*v - 3*o - 855 = 21*v, -3*v + 2*o = -849. What is the highest common factor of v and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (270\/(-105))\/(3\/(-21)*-4)*(-28)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 28*h**2 + 26*h - 91. Determine r(29).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -g + 6, 2*g + 602*k = 598*k - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 2*q**2 + 4*q**2)*(-2*q**2 + 2*q**2 + q**2) + 2*q**4 + 2*q**4 - 7*q**4.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 2. Let i be z(1). Sort i, -3, 0 in ascending order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:17 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 97004*g - 2. Let m(a) = -9*a. What is l(m(y))?\nAnswer: -873036*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 25413*v**3 - 25345*v**3 + 17.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 214*j + 159*j**2 - 213*j + 427*j - 9.\nAnswer: 159*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2353*p**2*s + 1487*p**2 wrt s.\nAnswer: -2353*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7962 is divided by 1325.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 74. Suppose -3*l = -2*b + g*b - 12, -3*b = -l - 4. What is the tens digit of ((-668)\/6)\/(l\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let p(a) = 9*a**2 + 1. Let y(l) = -17*l**2 - 2. Let k(o) = 5*p(o) + 2*y(o). What is u(k(s))?\nAnswer: -242*s**4 - 44*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 40. Let l = 38 - m. Let a = l + -34. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 12*l - 7. Let u be g(13). Let j be u*(-6)\/9 - 10\/(-5). Sort -9, -3, j in descending order.\nAnswer: j, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6027 - 0.602702723. Round s to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - -4) - (2 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - 402. Let j be (-4)\/7 - u\/42. Solve -4*f - x = j, -2*f - x = 3*x + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16.6. Let l = y - 1. Let o(p) = -2*p**2 - 37*p - 46. Let v be o(-17). Which is the nearest to -2\/3? (a) 4 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49332 is divided by 3794?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -28*((-576)\/(-14))\/(-8) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/(k*k**(2\/21)))\/((k**(-6)\/k)\/(k**(-5)\/k)) assuming k is positive.\nAnswer: k**(-79\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26834208 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -n. Let y be (-6)\/(-5)*10\/4. Suppose 2*z - 6194 = w, 2637 = -n*w - y*z - 9772. What is w rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (7 + 0 + 39)) + -12\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -6) + 27 - -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t\/(t**(-3\/2)*t)*(t\/t**(-3))\/t**0 assuming t is positive.\nAnswer: t**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 123*v + 2888. Determine r(-143).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (7 + 6)) + (-8 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17516*y + 0 + 0 - 5 + 18 - 9 + 17522*y.\nAnswer: 6*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 8*o - 4*o + o + 0*o - 3*o + (2 - 2 - 1)*(-2*o + 0*o + 3*o))*(9*o**2 - 8 - 6*o**2 + o**2)*(3*o + o - 5*o).\nAnswer: -20*o**4 + 40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4522 = -10*w. Let k(s) = 473 - 231 - w - 11*s. Let r(z) = -5*z + 2. Calculate -4*k(y) + 9*r(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) + 26\/(-15). Is h greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 - -0.6.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.74 * -0.3\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-3)*81\/54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -36. What is the remainder when m is divided by 184\/18 - (-4)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 27. Let z be (-44)\/(-12) + (-4)\/6. Suppose -15 = -z*g + q. Calculate the remainder when 14 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 3*w + 9. Let s(b) = -3*b**2 + 5*b + 17. Suppose 2*o = -5*p + 33, -p + 4*o = 1 + 10. Give p*c(h) - 3*s(h).\nAnswer: -h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**5 - 42*d**4 + 14*d**3 + 494*d**2 + 630*d + 196 = 0.\nAnswer: -2, -1, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 56 = 12*m. Let r(a) = 15 + 4*a**2 - 14 + 0*a**2 + 48 + 131*a - 133*a. What is the tens digit of r(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1 (b) 4\/7 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 6:18 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/4 - -9\/4. Let d(q) be the third derivative of 1\/120*q**6 + 1\/15*q**5 - 1\/24*q**4 + 0 + b*q**3 - 4*q**2 + 0*q. Determine d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.768 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 18*o**2 + 44*o - 11. Let q be z(-15). Suppose 6 = 2*v + q. Let r be 2839996 - (v\/3)\/((-6)\/72). What is r rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**3 - 23*h**2 - 21*h + 11. Let k(i) = 4*i**3 + 12*i**2 + 10*i - 6. Let c be 6 + -9 - (-1)\/1. Let r(p) = c*b(p) - 5*k(p). Factor r(j).\nAnswer: -2*(j + 2)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t. Let n(h) = -3*h**2. Calculate n(p(m)).\nAnswer: -147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 1.94. Let f be (160\/(-36))\/(-5)*(-45)\/60. Which is the second biggest value? (a) -1 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 286*k + 3 + 2*k**2 - 5*k**2 - 285*k. Let s be w(-1). Let y(g) = -2*g - 3. Let n(t) = 1. Determine s*y(i) - 3*n(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46\/19 - 119\/57. Which is smaller: -1.91 or l?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0298 and 0.1474?\nAnswer: 0.00439252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 13*u - 919. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2650*t - 4*t**2 - t**3 - 379*t + 11*t**2 + 11*t**3 + 225*t**3 wrt t?\nAnswer: 1410*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/16 + i**3\/12 + i**2\/2 - i + 181. Factor c(l).\nAnswer: -(l - 2)*(l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(7 + (-15)\/5). Suppose 4*g - 56 + 28 = h. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/14 and 301\/21 + 1 + -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t + 5*t + 10*t + (-96 + 96 + 7*t)*(1 - 4 + 1) + t - t + t in the form k + d*t and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, 2, 0.66?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -v + 23, -4*z = 16. Suppose d = v*d - 2. What is the tens digit of (-1)\/1 + 12\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + s - 1. Let u(z) = 9*z**2 - 6*z + 6. Let m = 10 + -9. Let j(g) = m*u(g) + 6*t(g). Let p(a) = -a**2. Calculate p(j(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/40 - 4*n**5\/15 - 5*n**4\/24 + 17*n**3\/6 + 3*n**2. Is v(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15365*m - 92121. Determine g(6).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*o + 324 = 0, 2*u - 5*o = 41 + 168. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -16. Suppose -2*q - a = -5*q + 97, 5*a - 10 = 0. Calculate the highest common divisor of q and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.601 + 0.131. Which is the second biggest value? (a) -1\/10 (b) 0.2 (c) 0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -28 (b) 2 (c) 837 (d) 5 (e) -0.084\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-18)*g\/(g\/(g*g*g**(-2\/59)))*(g*g**(-3\/4))**(2\/163) assuming g is positive.\nAnswer: g**(-308337\/19234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 176*p - 171*p. Calculate the least common multiple of 27 and p.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + 1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:47 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = 0, -2*f - 4 + 0 = -4*s. What is the units digit of (-1 + 0)\/(s\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4, 0 = 33*h - 32*h + 5*i - 479. Let z = h + -454. Let d = -2 + 2.05. What is the closest to 0.2 in -2, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20186877 is divided by 672?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -22.5. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -12. Let w = 4 - v. Put 6\/5, w, -4 in increasing order.\nAnswer: -4, 6\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueeueube. Give prob of sequence be.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1675*g. Let j(p) = -74*p**2 + 16*p + 16. Let n(y) = 23*y**2 - 5*y - 5. Let v(q) = 5*j(q) + 16*n(q). Calculate k(v(r)).\nAnswer: -3350*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -62 + 97 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 18. Solve -3*q = u + 8, -8 = 4*q + a*u + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 447 and 30.\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181471*t*v**3 - 230*t*v**2 - 3*t*v + 2*v**5 - 13*v**2 - v - 15 wrt v?\nAnswer: 1088826*t + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q - 52. Suppose 7*m = -q*m + 4180. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/r**(-6)*r*r*r\/(r\/r**(-4\/7))*r\/(r**(-8)\/r)*((r*r**1)\/r)**(1\/16)*(r*r*r**(1\/4)\/r)**39 assuming r is positive.\nAnswer: r**(6859\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16529543171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) -0.4 (b) -5\/6 (c) 4 (d) 18011 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8*p - 24. Let h = 6 + p. Is (-3 - (h + -2))*-53 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53687679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 + 4*j**2 - 26. Calculate f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*j - 3*n, 4*j = -2*n + 16. Is 14*4 - (1 + j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*n - 663*n - v - 3 = 0, 0 = 2*n - 4*v + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-173)\/(-1730)*2*-1 + -1.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -26*a**3 - 7*a + 7. Let p = 89 - 96. Suppose 5*q + 33 = -4*c, -4*q - 30 = -71*c + 76*c. Let y(d) = 17*d**3 + 5*d - 5. Calculate p*y(i) + q*b(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 4*c + 9. Give r(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209314 + 0.2.\nAnswer: -209313.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, p: 6, y: 5, i: 1}. What is prob of picking 1 i and 3 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:21 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9444 - 7?\nAnswer: -944b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22704852 is divided by 192414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g + 2349. What are the prime factors of y(50)?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*v - 15, 15*v - 19*v + 3*i - 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 4*i - 1. Let u be a(-3). Let j = 444 + -450. Sort u, 1, j.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 + 13*f**2 + 12*f - 4. Let l(k) = -4*k**3 + 6*k**2 + 7*k - 2. Let c(a) = -5*l(a) + 3*o(a). Determine c(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 410 + -513. Let w = a - -145. What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q**2 - 6*q + 3. Let z be s(2). Let x = z - -6. Sort -4, x, 8 in decreasing order.\nAnswer: 8, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7741226 to the nearest integer?\nAnswer: 2782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4 - 1. Let c be (-3)\/(-15) - 384\/k. Does 15 divide 2\/(-5) + c\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 860.1469 milligrams?\nAnswer: 0.0000008601469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2. Let t(w) be the third derivative of -5*w**4\/24 - 4*w**2. Determine n(t(v)).\nAnswer: 125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896 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 d = 1 - 1. Suppose d = 3*p - 7*p. Let r be (p\/(-1 + 2))\/1. Is -2 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 7. Suppose 3*w - w = -5*x - 8, 3*w + x - 14 = 0. Suppose 6*t = w - 30. What is a(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-8)\/(-60))\/(10\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 4:29 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 41320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 45 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53265424*b**2 - 322560042 wrt b?\nAnswer: -106530848*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.159 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 times 0.2?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127\/88 in 0.3, -8, 10, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**3 - 11*i**2 + 24*i + 5. Let g(b) = 24*b**3 - 32*b**2 + 72*b + 14. Let d(w) = 7*c(w) - 2*g(w). Calculate d(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from {w: 2, a: 1, y: 2, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-21) - (-60)\/140?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10539359 is divided by 5269651.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8085\/490*8\/(-6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(3))*6.\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t + 6. Let r be a(3). Suppose n = -r*k + 3, -4*n + 0 = -5*k + 22. Solve k*m = -4 - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 13*r**2 + 10*r - 28. Let z be 106\/(-8) - (-21 - 1422\/(-72)). Determine g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81199506?\nAnswer: 2, 3, 73, 89, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93837 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from rmsmmmkmmgmkkrkkssm?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 3, l: 13}. What is prob of picking 2 s and 1 f?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -20.\nAnswer: -11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 62*l + l**3 + 20914*l**4 + 0*l**3 - 20916*l**4 as a*l**4 + i*l + z*l**2 + h*l**3 + p and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllkllklkl. What is prob of sequence lk?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.008 and 17236906?\nAnswer: 17236905.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 0.53491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*t + c**3 + 28*c**2 + 11*c*t - t wrt c?\nAnswer: -18*c*t + 6*c + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-48) + -407*(-247)\/(-836)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:31 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 38822.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*n = 0, -n + 12 = 4*w - 0*n. What is the nearest to 0.1 in w, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5\/15 + 5*l**4\/3 + 22*l**3\/9 - 10*l**2\/3 - 7*l + 115. Factor u(f).\nAnswer: -(f - 21)*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/5*(-5)\/2. Which is the nearest to 1? (a) -1\/9 (b) p (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -20*t - 50. Let p(n) = n + 2. Let u(q) = -25*p(q) - z(q). Let s(f) = 10*f. Determine -2*s(y) - 5*u(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 17*n**2 + 15*n + 19. Determine x(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(1 + 4 - 4)*(-92*u**2 + 92*u**2 - 9*u**3) as v + d*u**3 + q*u**2 + t*u and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 433014 (base 5) to base 15\nAnswer: 458e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 16*t**3 + 5*t**2 + t - 21. Let w be (-1)\/((-3 + 1)*5\/30). What is the hundreds digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5012 + 5011 - 13199*q - 15039 + 5016 + (-6*q + 2*q + 2*q)*(4 - 5 + 0) + 4 - 4 - q as i + c*q and give c.\nAnswer: -13198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3780 and 149\/105360.\nAnswer: 6637680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p = 30*p + 38 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -2*c**7\/105 - 44*c**6\/3 - 16133*c**5\/5 + 220*c**4\/3 + 96800*c**3\/3 + 603*c**2. Determine o so that g(o) = 0.\nAnswer: -220, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 68\/16)*2. What is the nearest to 0 in 1, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 25 - 3*c + 24 to the form j + i*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 716016954 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 525192?\nAnswer: -1\/262596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, 5, 0.0307, 3\/5 in increasing order.\nAnswer: -5, -0.3, 0.0307, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:26 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56 times -3.8\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1273 + 412.8727. Let k = 10209162536.89999823 + -10209162949.9. Let i = l + k. What is i rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*k**2 - 154*k**2 - 154*k**2 - 159*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 + c + 10. Let r be b(-7). Suppose 5*k + 457 = r*d, 2*k - 618 = -d - 3*d. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*g**2*x**2 + g**2 - 12*g*x**2 + 359*g*x wrt g.\nAnswer: 76*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5727 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7102 and -1.1.\nAnswer: -7812.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -32272, -0.3, 0.3, -867, -4?\nAnswer: -867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + ((sqrt(2) - (sqrt(2) - (2 + sqrt(8) - sqrt(2))))**2 + 1 - sqrt(6)\/(sqrt(15)\/sqrt(5))*-5) + -4).\nAnswer: -18*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940827 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 3, -16, -3 in ascending order.\nAnswer: -17, -16, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-48 + 91 + 56)*(-3*n**2 - n**2 + 5*n**2)*(-4 + 0 + 3) as j*n**2 + c*n + g and give j.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q + 482. Let m be i(44). Let s(a) = a**3 - 2*a**2 + 2. Give s(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 152\/(-132) + (-2)\/11. Let k = 1.3 + -0.3. Let n = -0.3 - -0.8. Which is the closest to k? (a) n (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12111424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 23 - 77 + 21*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - -30.26. Let y = -30.003 + l. Let u = 0.00300033 + y. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 12. Let b(x) = x + 6. Let s = -187 + 189. Determine s*z(a) - 5*b(a).\nAnswer: a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/11)\/(f\/(f\/(f**(-1\/8)*f)*f)*f) assuming f is positive.\nAnswer: f**(-93\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3612 and 286524.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 3*j, 2*s - j = 4*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imm when three letters picked without replacement from {m: 2, t: 1, i: 2, r: 7, a: 4}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (-490)\/20. Let q = x + -23. Solve 0 = -b + 2*r + q, 2*b - 5*r - 3 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5\/7 + 22283*w**4\/7 + 17207*w**3 + 111589*w**2\/7 - 174000*w\/7 - 80316\/7 = 0 for w.\nAnswer: -3, -2\/5, 1, 4462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 962930049 to the power of 1\/2, to the nearest integer?\nAnswer: 31031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 + 3 + 0*i**2 + 2*i**2 - 18.\nAnswer: 2*i**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + k + 5. Let a be (3 + 4 + -1)*4\/24. Let r(b) = -b**2 - 1. Determine a*f(j) + 4*r(j).\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 15*j**2 + 16*j - 12. What is the tens digit of f(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0299 in 4, -2\/9, -903\/40, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599102 is divided by 253.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 429, 3\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 38874000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9) + 30\/9. Let g(w) = w - 1. Let j be g(a). Suppose -j*m - 11 = -77. What is the greatest common divisor of m and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4334 - -4334.4. What is the nearest to -27 in -1, 2, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01023674 rounded to 5 dps?\nAnswer: -0.01024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 407239867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 140\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 15*n + 2. Let v be r(15). Solve 2*w = 9 + 1, 3*i = -w + v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b - 7. Let f be p(6). Suppose -2*w = 3 - f. Let u = w + -15. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 2*y - 12. Let p be q(4). Let z = p + 78. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3770082 and 58\/15.\nAnswer: 18850410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/13 + 72646*x**3\/13 - 217926*x**2\/13 + 217922*x\/13 - 72640\/13.\nAnswer: -2*(x - 36320)*(x - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07049 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1723 - -465. Is y a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111101001100100 (base 2) to base 10\nAnswer: 31332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*f + 959 = 4*t, -3*t - 5*f + 605 = 0. Suppose 188*a - t*a = -35. Solve -d - a*r - 20 = d, -4*r + 2 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - b + 7 = 0, 7*d - 4*d - 3*b + 9 = 0. What is the greatest common divisor of d and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302223304 + 3?\nAnswer: 302223312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011011100111 (base 2) in base 6?\nAnswer: -145023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 5*u = -93, -31646*w + 4*u = -31644*w - 60 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 5.\nAnswer: -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-325)*5*(-55)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110674 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224886262 divided by -1.\nAnswer: 224886262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (227\/(-681))\/((-1)\/6). Let m(v) = v**3 + 4*v**2 + v - 3. Let y be m(-3). Let t = 5 - y. Solve x + 3*r = -1, -r + 5 = z*x - t*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14506 - -14511. Let b(g) = -13*g + 56. Determine b(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggphprgahggagpahhpg. What is prob of sequence rhg?\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b + 7. Let c be -2 + (-8)\/4 + -2. Let q(f) = 0 + 3 - f - 2. Determine c*q(m) + w(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(60\/(-42728)) + 10\/(-75)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 3}. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 15*s**2 - 15*s - 13. Let i be v(-14). Solve n + i + 4 = 5*c, 2*c = 5*n - 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011102 + 21?\nAnswer: -12011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172295700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 86 - 129 = -u, 5*u = -5*f + 1075. Let o = 231 - u. Solve o*y - 20 + 100 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29153 rounded to the nearest 100?\nAnswer: 29200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5251530179?\nAnswer: 7, 4337, 172981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*h + 459, -4*l + 223 = 2*h + l. Calculate the highest common factor of 57 and h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2454513462 to the nearest integer?\nAnswer: 49543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/120 + 3*s**5\/20 + s**4\/12 - 13*s**3\/6 - 3*s**2. Let c be n(9). Let h(q) = 3*q - 2*q + 8 - 2*q. What is h(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 0.1 (b) -7 (c) 2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + 3*b**3 + 4*b**3 + 2*b - 2*b + 9*b**3 + (-b**2 - 2*b + 2*b)*(-b + 5*b - 5*b) as x*b**2 + f*b**3 + r + z*b and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 6*k**7\/35 + 2*k**6\/5 - 2*k**5\/25 - 14*k**4\/15 - 14*k**3\/15 - 2*k**2\/5 - 3*k. Determine n so that b(n) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053532 (base 6) in base 8?\nAnswer: -572640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-332)\/1036 - (-7 + 2530\/385).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 1. Let g be 1 - (b\/(-3) - 0). Suppose 0 = -3*z - g + 6. Is 2 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 47 = -251. Let s = m + 54. Solve 0 = -d + s + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 1 (b) 3 (c) -3 (d) 25884\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 255 + ((-24)\/4)\/(-3). Let l = 1027\/4 - t. Sort l, 2, -0.03 in ascending order.\nAnswer: l, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 756\/504*3\/2\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 29*b**2 - 27*b - 26. Calculate r(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(352) - (sqrt(352) + (sqrt(352) - -1*sqrt(352)))) + sqrt(352)*-2*-5)\/((sqrt(2) - sqrt(8)\/sqrt(4)*5)*6*-3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11412 + -11510.06. Let u = -98 - r. Let i = 0.0599739 - u. What is i rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11837*k - 11839*k + 5*u, -3*u = -3*k - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 7. Let o(n) = 7*n - 8. Let d = 40 + -42. Let k be (3\/d*-8)\/(-1 - -3). Determine k*r(l) - 5*o(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*p = -91*p + 1629 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxxl.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -9 - 3. Suppose -3*j + 9 = 3*t, -5*j + w*t + 15 = t. Let n(v) = 4*v**3 - v + v**2 - 5 - 2*v**3 - 2*v**2 - j*v**3. Give n(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 268 = 78*u - 2*l, -u = 5*l - 76. What is the highest common divisor of 638 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = a + 6, -z = 5*a + 3*z + 114. Let v = -23 - a. Solve c - 2*c - 2 = v*i, -3*c - 10 = 5*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4699.44+476.7\nAnswer: -4222.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 11*m**4\/24 + 5*m**3\/6 - 7*m**2. Let j(g) = -6*g - 3. Calculate -7*j(v) - 4*n(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148, -1, -983 in ascending order.\nAnswer: -983, -148, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1019707736*i + 261712841 wrt i?\nAnswer: -1019707736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 40 + 3*t - 22.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 32\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -2.7. Suppose 5*o = z - 0 - 2, 4*o = -5*z + 10. Which is the smallest value? (a) z (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 f when four letters picked without replacement from jjjjfffjfjajfa?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881919467 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*w + 3)*(-w**3 - 3*w**3 - 3*w**3) + 4384*w**4 + 4420*w**4 - 10129*w**4.\nAnswer: -1339*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 70701773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -10. Let v = 441523\/22356 + 2\/5589. Calculate the common denominator of v and (-20)\/8*(-146)\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 10*a + 4. Let q(p) = -14*p + 1. What is q(a)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfuppufvfvvclpvufvcp. What is prob of picking 2 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 29*g + 208. Determine t(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -18555 and -2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((((j\/(j**(1\/2)*j))\/j)\/j*j)\/j)\/j*j)**(3\/17)\/((j**(-2\/3)\/j)\/(j*j**(2\/7)*j*j*j)) assuming j is positive.\nAnswer: j**(4061\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1391 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 - 4*f - 4. Let g be q(-1). Suppose g*j + 6*j - 11627 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*v**3 - 24*v**3 + 2*v**2 + 41*v**3 + 2*v**2 + 271*v**3.\nAnswer: 423*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = -0. Let z(f) = f**3 + 4*f**2 + 3. Suppose 0 = 5*q + 25, -2*k - 3*q + 4 = 27. Let x be z(k). Solve -7 = -x*b + c, -3*b + 8*b - 21 = r*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)*-5 - sqrt(110))\/sqrt(10) - (5*1*sqrt(11) + sqrt(11) + 2 + -1)**2.\nAnswer: -397 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 3*q**2 + q. Let k be a(3). Differentiate 1 + 8*i - k - 2 wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*w - 117*w + 8*w + 11610 = -10*w for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -49, -0.5, -0.1, -0.17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408007 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 11*j**3 - 13*j**3 + 8 - j**2)*(9 + 42*j - 9) in the form q*j**4 + c*j**2 + z*j**3 + s + w*j and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.97871 millilitres to litres.\nAnswer: 0.08297871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 9*b**3 - b**3 + 0 + 0 + b**3 + (-6*b**2 + 6*b**2 - 5*b**3)*(4 - 5 - 1) + b**3 + 3*b**3 + 7 - 5*b**3 as h + q*b**2 + d*b**3 + c*b and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 105, 166, 231?\n\"Answer: 2*c**2 + 51*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 + 2*q**2 - 8*q - 8. Let r = -10 - -4. What is g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - 5*z + 1. Let y be s(-4). Let p = 24 - 20. Suppose 0 = -2*h + 2, -p*c + 140 = h + 3*h. What is the highest common divisor of c and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 12.54174.\nAnswer: 1.254174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 8*c - 26. Let m be d(-11). Suppose -m*y + 0*y = 0. Solve 5*q - q = y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -897 - -560. Let l = 987 + s. Suppose 7*a - 2*a - l = 0. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 - 10*p**2 - 13*p**2 + 20*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 54520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -66809.9?\nAnswer: -66810.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqxuuxwxq. Give prob of sequence uwx.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/26*((-115056)\/1020)\/(-141)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -18*d + 14*d + 10374, d - 6230 = -3*j. What are the prime factors of j?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - 0.91. Let s = 2.5 + -4. Let i = s - m. Sort -4\/3, i, -2 in decreasing order.\nAnswer: i, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*x**2 - 4*x - 175.\nAnswer: 18*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 112, 5, -0.2?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11476040 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + 44. Is j greater than 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 45. Let d = -121.1 + 120.8. Put -0.4, d, a in increasing order.\nAnswer: -0.4, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/60 + 5*d**4\/24 + d**3\/2 - 5*d**2. Let l be n(5). Solve -4*g - l*o - 7 = 0, g + 8 = o + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 41 + 0 - 8 - 1 - 9*p + 8*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6617812mm?\nAnswer: 0.0000006617812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -0.1, -37, 3.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1297*u = -1302*u + 10. Suppose 2*f + 2*p = 5*f - 3034, u*f = 5*p + 2008. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m - 4110298 + 4110322 - m. What is a(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -27278.\nAnswer: 5\/27278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634817.\nAnswer: 634817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 22. Let s be g\/(56\/12)*(-16)\/(-6). Suppose 6*u = -s*u + 130. Calculate the remainder when 48 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 11707, 4, 3\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128641, -257323, -386005, -514687, -643369, -772051?\nAnswer: -900733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4603921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1896 divided by -4\nAnswer: -474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -182. Find the common denominator of o\/(-12) - (-18)\/27 and -73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h**4 + 5*h**2 + 5*h + 18. Let g(n) = 17*n**4 - 8*n**2 - 8*n - 27. Let b(r) = -8*d(r) - 5*g(r). Differentiate b(t) with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpppbxpcjpxc. Give prob of sequence px.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -603 times 446\nAnswer: -268938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -6. Does 4 divide -2 - k - (-12)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 - -54. Let b = s - -57. Sort -10, b, -0.2 in descending order.\nAnswer: -0.2, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24148368 to the power of 1\/2, to the nearest integer?\nAnswer: 4914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 358051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 875 and 70?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 9*b**2 - 9*b - 6. Let f be l(10). Suppose -f*x = -6*x - 10. Let y be ((x - 1) + 2)*-1. Solve -17 = y*v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) 0.12 (d) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 12 = -0*n - 2*r, -2*n = 2*r. Let d = n + 0. Let l be (d\/(-10))\/((-1)\/5). Which is the closest to -1? (a) 3\/4 (b) l (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42723 and 897183?\nAnswer: 897183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/20 - 23*x**2. Let g(r) = 16*r. Calculate g(w(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/39 and -13\/87?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70449 - -148486. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -2, 4, 156, 444 in decreasing order.\nAnswer: 444, 156, 44, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.61 + 31.61. Let h = -5\/13 - -2\/39. Let j be (-1 - -5)*(-1)\/14. What is the closest to j in 3, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 5*d + 6*d + 309.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.036 - -106. Let i = s - -0.166. Let t = i + 0.17. Which is the nearest to 2\/5? (a) t (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6397*h = -6047*h + 12911*h - 45766 for h.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*-14.\nAnswer: 0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n + 9. Suppose -2*v = -v. Give f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 4*m**2 + 25 + 16*m - 25 to the form u*m + y*m**2 + l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.1 + 0.4. Let p = t - -0.5. Suppose 18 = -g + 10*g. What is the second biggest value in -0.3, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 51 - 1215 = 0. Which is smaller: y or -210?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 431*b**2 + 59*b**2 - 11 + 104*b**2.\nAnswer: -268*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 5 = -5*k. Calculate the common denominator of (-3)\/15 + 1029\/k and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87 + (-4 - -2 - -4). Let i = -38 + n. Let v = 0 + i. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057817.\nAnswer: 997, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - 101210?\nAnswer: -110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4006596786 take away 123?\nAnswer: -120.5993403214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -179755 (base 10) in base 12?\nAnswer: -88037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.8. Which is the nearest to -0.1? (a) 2\/3 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**3 - 39*y**2 - 40*y**3 + 17*y**2 + 24*y**2 as o*y**3 + c*y + i*y**2 + m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430692, -430864, -431036, -431208?\nAnswer: -431380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/20 + u**4\/2 + 2*u**2 + 3*u - 5. Suppose -1 = 3*t + 17. What is q(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 18*t = 0. Let i = -19 - -18.7. Which is the closest to -2\/7? (a) i (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2)\/v*v)\/v**5)\/(v*v**1*v)**(-9)*v**5\/v**(1\/6)*(v\/(((v**(-5\/6)\/v)\/v)\/v)*v)\/(v\/(v*v**(-4))) assuming v is positive.\nAnswer: v**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*g**2 - 157*g**2 + 2*g**3 - 14 + 3 + 80*g**2 in the form f*g + b*g**2 + m + q*g**3 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 758051 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 208, 503, 928, 1489?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 127*u = 123*u - 19, -1 = 3*g + u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 2*l + 2. Let b(n) = -5*n**2 - 11*n + 11. Let m(k) = -6*b(k) + 33*u(k). Let q(h) = 64*h + 2 - 9*h - 49*h - 7*h. Calculate m(q(v)).\nAnswer: -3*v**2 + 12*v - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 6*w. Let h = w + 3. Solve 3*p - 2*z - 20 = 0, z + 0*z - h = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3414 = -5*c - 0*c, -678 = c - h. Let m = -323 - c. What are the prime factors of m?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 3*i + 16, 0 = -6*i + 3*i - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(228\/8) - 59*2\/38?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + -1 + 0 - -26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 1943.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2546.999t to milligrams.\nAnswer: 2546999000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.6015 rounded to 2 decimal places?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 25*w**3 + 3*w**3 - 27*w**3.\nAnswer: -49*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8 + 5*x - 6 + 4. Let p(k) = 38. Let b(j) = -63. Let l(s) = -3*b(s) - 5*p(s). Let t(a) = -10*l(a) + n(a). What is t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 155*x - 1249. Let c be u(8). Suppose n = -o - 11, -5*n - 75 = -10*o + 5*o. Which is bigger: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 2. Let f be (-4)\/(-9)*j\/20*-2. Let r = 63 - 64. Is r > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aekp when four letters picked without replacement from eapakee.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7042 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*t - 189*t = -102*t - 270 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1446 by 482.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 - 6.4. Which is smaller: 1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55987 is divided by 2948.\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1 + (162\/6)\/3. Suppose 137 + 19 = l*k. What is the remainder when k is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -0.2779 (b) 1 (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 38 = -7*j. Solve -3*b + j*i + 2 = -b, 0 = 2*b - 5*i - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3789380 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 202845*m**2 - 45*m**3 - 11*m - 2 - 202847*m**2 + 1 + m**4 in the form s + a*m**4 + v*m**2 + p*m + x*m**3 and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110011000 - -111001101000?\nAnswer: -1111100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*o + o - 19, -3*n - 3*o = 24. Let c = 0.7 - 0.5. Let p = 10 + -9.9. What is the nearest to p in c, 4, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 11*a**2 - 464*a + 2301. Determine c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 19 - (-1 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 2*o - 7)*(-5*o + 2*o + 4*o) + o + o**2 - o - 28503 + 28503 - 242*o**2 in the form r*o**2 + g + z*o and give r.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 9:25 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1395)\/23994)\/((30\/(-8))\/3)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 935*f + 3756. Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7290370?\nAnswer: 2, 5, 729037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262313.827 + -20588.\nAnswer: -282901.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.08 (c) 1084 (d) -1 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 - 5. Let k = -0.1 + 0.6. Let x = k + p. Which is the closest to -2\/7? (a) x (b) -3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158100 or -158108?\nAnswer: -158108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1568 + -1280. What is the remainder when u is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 328*g + 13495. Calculate h(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2517 less than -7682?\nAnswer: -7693.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2717*b**3 - 6*b**2 + 6*b + 4. Let n(j) = 8151*j**3 - 19*j**2 + 19*j + 13. What is 19*m(x) - 6*n(x)?\nAnswer: 2717*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3033, -3232, -3431, -3630?\n\"Answer: -199*f - 2834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4329 and -53\/3848.\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-6))\/(((-364)\/(-21))\/26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229757\/12 + 19135. Calculate the common denominator of r and ((-53)\/22)\/(1*-2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*a**2\/9 - 188*a\/9 + 11\/9.\nAnswer: (a - 11)*(17*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 + z + 160. Suppose -6*a = -2*a - 2*a. What is the units digit of b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1503, -0.5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20058?\nAnswer: 2, 3, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 90 = -0*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -1737\/8. What is the nearest to k in 1, -0.08, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 270 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**2 + 26269*r + 157805. Give o(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/3))\/(f**(-3)*f))**9*f**(1\/9)*f*f*f\/(f\/f**(1\/3))*f*f**(-2)\/(f\/f**1) assuming f is positive.\nAnswer: f**(229\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-23607))\/(1\/3). Let i = 280617\/57706 + m. Let c = 485\/24 + -125\/6. What is the common denominator of c and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n, -n + 5*n = 4*x - 552. Suppose -3*y + x = -214. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from bbiibbbi.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f**2*k**2 - 2*f**2*k*q**2 + 2*f**2*k*q + 2*f*k**2*q**2 + 14*f*k**2*q + 73*k**2*q wrt f?\nAnswer: -26*k**2 - 4*k*q**2 + 4*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 + 3*j + 3. Let w be z(-1). Suppose 0 = -6*u + w*u - 57. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) 3\/49 (c) 2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240083882*h**3 - 120041933*h**3 - 120041939*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35299 divided by 4.\nAnswer: -35299\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from bbpgbggyggpgbgey?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 114513875\nAnswer: 1\/114513875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from kbpwwgbgpgwbdbbpg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 + 37 = 0. Let w = i - -32. Suppose -140 = -w*x + 14. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-10)\/(-14) - -1). Let v = 83 + -87. What is the smallest value in v, 5, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 10*v - 8. Let m be o(4). Suppose 3*k - 186 = -3*j, -2*k + 2*j + m = 8. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*t - 41000015, 0 = 4*u - 2*t + 25261784 + 7538206. Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 6, k: 2, z: 1}. Give prob of sequence gzka.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - ((-2 - 10) + 11 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1215859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1048 - -1049. Let p(t) = 2*t**3 + 2. Let s(g) = -g**3 - g - 1. Calculate z*s(b) + p(b).\nAnswer: b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3278 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 4*r - 3. Determine s(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -59. Let j = h - -29. Let v = -3.3 + j. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 34.1. Let c = g - -57. What is the smallest value in c, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*w - 3*y + 39, -3*y = -w + 27. Let t = -10 + w. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let a(c) = -c**3 - 8*c. Determine -a(i) + 3*f(i).\nAnswer: i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 224883528 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -22, 7, 36?\n\"Answer: 29*l - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 7*x + 10. Let k be p(14). Suppose 6*h = 3*h - k. Let q = -28 - h. What is the remainder when 31 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 10*l + 7. Let j be q(-6). Suppose 4*d - j + 3 = 0. Let h be (-99)\/(-132) - 2\/(-8) - -2. Solve -7*g - d = -h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1.01?\nAnswer: -0.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 5*m**2 - 26*m. Let f(l) = l**3 + l**2. Calculate -4*f(q) - k(q).\nAnswer: -q**3 + q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**3 - 26*s**2 + 46*s + 118. List the prime factors of w(-16).\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s**(-2\/15))\/(s\/(s\/s**2*s)*s)**(-48)*(s**(-7)\/s*s)\/(s\/s**(1\/2))*(s**0)**(-2\/63) assuming s is positive.\nAnswer: s**(2809\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143, -283, -423, -563, -703?\n\"Answer: -140*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2812)\/333)*15\/25.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2080\/345 + -6)\/(-2))\/(2\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338119, 338246, 338577, 339214, 340259?\nAnswer: 341814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1228, 1230, 1232, 1234, 1236, 1238?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 + 2*v - 10. Let q be c(8). Let n(w) = 748*w + 7. Let m be n(q). Suppose -6*y + m = -4505. Round y to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95 times 0.2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}