diff --git "a/data/dm_maths/full_data/10795_11255.jsonl" "b/data/dm_maths/full_data/10795_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10795_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k(x) = -x. Suppose 0 = h + 11 - 10. Let s(d) = d - 1. What is h*s(u) - 2*k(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - -10) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 2. Let w be 9\/(-6)*(-30)\/y. Let g be 0 + (-2 - w) + 0. Solve -2 = s + n + 5, -g*s - 4*n - 23 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/4 - 33*i**2 - 4221*i\/4 - 2862 = 0?\nAnswer: -24, -3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, d: 3, s: 1, r: 5, y: 2}. What is prob of picking 2 r and 1 y?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/27 - 8\/(-6) - 1. Are l and -4\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -38?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 3) + 4 - 11) + 4 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u = -13*u + 429 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 3*y**3 + 7*y**3 + (5*y - 4*y - 2*y)*(0*y**2 + y**2 - 2*y**2) + 3*y**3 + y**3 - y**3 + 113 + y**3 - 113.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -9 + 29. Suppose -12 + 4 = -4*j. Let i = t + j. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10800 is divided by 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(0*s + 3*s - 2*s) + 69*s + 190*s - 86*s + 1 to the form p*s + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + -2.8. What is the third biggest value in -1\/10, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31510781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/45)\/(-2*(-1)\/30). Suppose -p = -0*p + 5*z - d, 4*z + 15 = 3*p. Solve 0 + 15 = 5*w + p*h, -5*w = 3*h - 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a6d2 + -6?\nAnswer: -1a6d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3*f**2 - 18*f - 48. Let c be d(-3). Solve -4*v + 2*i = c, 0*v - 5*v - 6 = -3*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 892 + -835. Suppose 47 + 10 = h*z. Let o = -3\/5 - -4\/15. What is the closest to z in 1\/3, o, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j. Suppose -2*z + j*z - 5*k = -513, 5*z - 4*k = 1200. Is 9 a factor of 4\/14 - z\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -29 (b) -92 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173140432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25468031?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -16*b - 123. Let l(k) = -3*k + 1. Determine -3*l(v) + p(v).\nAnswer: -7*v - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1635, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3\/6 - p - 6. Let r(f) = -18*f. Give -42*a(t) + 3*r(t).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 870 - 663 + 1533.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + -1. Let d(u) = 38*u + 24. Let i(b) = 13*b + 8. Let m(x) = v*i(x) + 4*d(x). Differentiate m(z) wrt z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 28*y**2 + 250*y - 286. Calculate r(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -11*z - 8616. What are the prime factors of z?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -3*g + 2*g. Suppose 9*n = 5*n + g. Let v = 22 + -8. Calculate the remainder when n is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 times 13235\nAnswer: 1019095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.075, -16, 0.5, -3, -2 in decreasing order.\nAnswer: 0.5, -0.075, -2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - ((-765)\/(-6))\/3. Let b = -28 - p. Let v = 80 - -25. Calculate the greatest common factor of b and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/5 - 29576*g**4\/5 - 325172*g**3\/5 - 1152696*g**2\/5 - 265986*g = 0. Calculate g.\nAnswer: -14777, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69193850 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2004, -4053, -6128, -8235, -10380, -12569, -14808, -17103?\n\"Answer: -r**3 - 7*r**2 - 2021*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 0)\/((-10)\/12). Suppose -3*j = -3*y - o*j + 15696, 2*y - 3*j = 10439. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -0.3 (c) 11 (d) 2\/9 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*y - 7*y. What is the tens digit of y*((-3 - -1) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186295110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(24) - sqrt(72)\/sqrt(3)))\/(sqrt(48)\/(2*sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141643911 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581986?\nAnswer: 2, 290993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63.43 + -63. Round a to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, w: 2, e: 6}. What is prob of picking 4 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - q - 2*q + 11*q - 22*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:58 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 151, 6, 5, -4 in ascending order.\nAnswer: -4, 0, 5, 6, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5 - (41 - 56).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14298, 14237, 14244, 14319, 14462, 14673, 14952?\nAnswer: 15299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-9 - 28)) + 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 4. Suppose -2*u + 4 = -3*u. What is the second smallest value in -4\/5, z, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h. Let z(s) = -11*s + 200. Let k(u) = 5*u - 92. Let p(c) = 13*k(c) + 6*z(c). Determine j(p(g)).\nAnswer: 16*g - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/7677 and 17\/20472?\nAnswer: 61416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/25 and -82\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 164, 161, 156, 149, 140?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 16*n**3 + 12*n**2 - 56*n + 32.\nAnswer: -4*(n - 4)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 6*y + 660. Let q = y + 61. What is the common denominator of ((-78)\/36 + 0)*(q - 0) and -36\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 4*z**2 - 2*z + 1. Let r = 240 + -113. Suppose -13*s + 185 = -r. What is the smallest common multiple of t(-4) and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*w**5 + 655364*w**3 + 2*w**2 - 98728563*w?\nAnswer: 360*w**3 + 3932184*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/(-169)*8112\/(-2860).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r)**47*(r**(2\/7)*r)**(-4\/9) assuming r is positive.\nAnswer: r**(419\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579*u**2 - 628*u**3 + 644*u**3 + 579*u**2.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 13 = 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 8. Suppose -3*h + 10 = -5. What is the remainder when d(-3) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(245) + 0))**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/5 (c) 57 (d) -8 (e) -3\/10 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {f: 2, a: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -17. Let p be (-5)\/(20\/j) - 1. Find the third derivative of p*k**6 + 0*k**6 + 4*k**6 + 4*k**2 + 5*k**2 wrt k.\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 509.124 millilitres?\nAnswer: 0.509124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 712*a**3 + a**2 + 10*a - 1150033 with respect to a.\nAnswer: 2136*a**2 + 2*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 75. Let s be (-5)\/(-15 - l)*10. Is (-620)\/(-45) + s - (-4)\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h + 24 + 0*h**4 + 9\/2*h**2 + 5\/3*h**6 + 0*h**5 + 0*h**3. What is the second derivative of f(c) wrt c?\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32 - 3)\/((-1)\/50). Suppose x = -j + 6*j. Suppose 4*i - o - j = -6*o, i - 5*o - 75 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26365 - 26365.0026858. What is i rounded to 5 decimal places?\nAnswer: -0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqpebbqbxbqee. What is prob of picking 1 e and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65512 and 2.1.\nAnswer: 137575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 302213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.0170358 rounded to 2 decimal places?\nAnswer: 31.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135.1 - -135. Is 4.5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, 0.4, -29\/782?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 5?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {q: 5, j: 2, y: 1, r: 1, v: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/5 + -1 - (-32)\/40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 - 2*l + 196. Does 5 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 4*l = 180. Let y be (-10)\/(-4)*l\/(-30). Suppose -a = -y - 1. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 - -574. Suppose 0 = o - x + 143, -o + 5*x - l = 2*o. Is -141 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-2) + -16 + 1*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + 4 + 2) - -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*w + 1 = -6, 4*b - 3*w = 31. Let u be (1 - (-1)\/3)*240\/64. Solve -3*q = b*z - 20, 6*z - u*z = 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1631, -6600, -14915, -26576?\nAnswer: -41583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 42 = -15. Is 35 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -50 - -14 - -51 - 34?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-14 - -9)) + -2 - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-7)\/o*o))\/o**7*(o\/o**(-1)*o)\/((o*(o**(-2\/15)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1132, 2265, 3398, 4531?\n\"Answer: 1133*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*h = -2*c + 445, -4*c + 930 = 2*h. Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129733?\nAnswer: 129733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 3*y - 2. Let i(m) = m**5 - 29*m**4 - 2*m**3 - 27*m**2 - 6*m. Let k(s) = -i(s) + 2*o(s). Find the third derivative of k(j) wrt j.\nAnswer: -60*j**2 + 696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 440046 + 440046.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 + 428\/(-18). Let i = t - -29. What is the second derivative of 15 - 15 - 9*u**i + 3*u wrt u?\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140112 is divided by 10758.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 + 0 = 0. Suppose -k + 89 = 2*k + 5*l, -5*k = -2*l - 138. Let b = k - v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646, 1433, 2200, 2941, 3650, 4321, 4948, 5525?\nAnswer: 6046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (-4 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - i + 5*i)*(-13 - 23 + 5)*(-9 - 13*i + 9)*(-3 + 3 + 2*i) to u + v*i**2 + f*i**3 + j*i and give f.\nAnswer: 1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -20. Solve -i = -a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 2*i + 16. Let m be g(-7). Let x = m + 19. Suppose x = 2*o - 2 - 74. What is the remainder when 188 is divided by o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -14.2, -9794 in descending order.\nAnswer: -0.5, -14.2, -9794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 21. Let s = -3 - r. Suppose 7 = s*i - 8. Solve -3*c - 10 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d - 4*f, 0 = 2*d - d + 3*f - 11. Let t be 18\/(-12)*d\/3. Calculate the highest common divisor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - -10200?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 123 - 471 = 0. Suppose 3*l = 2*z + q, 6*l - 3*z - 77 = 2*l. Calculate the greatest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(-u**3 + 4*u**3 - u**3 + 2)*(0 + 0 - 3*u**2).\nAnswer: -18*u**5 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 842158.09 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 7*q + 5. Let u = 15 + -8. Let y(s) = 2*s**3 - 3*s - 2. Let v(c) = u*y(c) + 3*n(c). What is the first derivative of v(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 8) to base 9\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -26, -5, -4.9, 1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*r - r. Let m = 0 + -3. Let x be m\/r*4\/6. Which is the closest to 0? (a) 3 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(2))\/(sqrt(10)\/sqrt(5)*-2).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 12*i**2 - 20*i + 6*i**2. Suppose 0 = -21*d + 13 + 113. Let f(p) = 4*p**2 - 7*p. Calculate d*a(c) - 17*f(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsd when three letters picked without replacement from dqssddawskdddws.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 11349360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/4 - 2*c**3\/3 + 7*c**2. Let f(b) = 5*b + 3. Determine -4*f(y) - 3*j(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2\/3 - 2*q + 4\/3*q**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25724293 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1637, 1650, 1663, 1676?\n\"Answer: 13*c + 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 178132074 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -7*c**5\/20 + 5*c**4\/12 + c**3\/6 - 2*c**2 + 33*c. Let m(z) = z**3 - z**2 + 1. Give 5*m(h) + x(h).\nAnswer: -2*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4))**(2\/19)\/(m**4*m)**(-17))**25 assuming m is positive.\nAnswer: m**(40175\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.007 (b) 4 (c) 11.9 (d) 0.1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.436?\nAnswer: -0.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-2 - (-2730)\/(-50)) + -3)*-185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 * -27\nAnswer: -10935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 2*c**2 - 5*c + 2. Let r(a) = 4*a**3 + 7*a**2 - 16*a + 7. What is -2*r(g) + 7*w(g)?\nAnswer: -g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81, 58, 25, -24, -95, -194, -327, -500?\n\"Answer: -h**3 + h**2 - 19*h + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -177 + w**4 + 45 + 3*w + 21 + 59 - 2*w**3 in the form h*w + x*w**4 + j + p*w**2 + k*w**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 960.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, -4 in ascending order.\nAnswer: -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(891) + sqrt(891) + 1 + 1)*-4 - ((-1 + sqrt(891))*6 + 2)) + 3))**2.\nAnswer: 252*sqrt(11) + 174637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 3:30 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -125, -140, -173, -230?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -991 + 1708. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75806256 to the nearest integer?\nAnswer: 8707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*x**2 - 652*x**2 - 13*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:39 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = 0, -y = 2*c - 6*y - 73. Suppose -3*i = 9, c = 4*o + 7*i - 2*i. Suppose 5*u - 387 = 108. What is the highest common factor of u and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -52. Calculate the common denominator of (-12)\/(-8)*146\/c and (280\/25 - 11)*321\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*z**4 - 10*z**2 + 5*z + 46448 wrt z.\nAnswer: 388*z**3 - 20*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -5, 5, 2\/7, -1\/8, 25 in ascending order.\nAnswer: -5, -1\/8, 2\/7, 5, 25, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 8. Let m be c(-7). What is the greatest common factor of m and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saakb. What is prob of sequence aak?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*s - 2. Let f be 1 + (s - -4*1). Solve 0 = -g + 3*g - f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -341*i + 33. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -14561*h - 262122. Calculate j(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 8005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110 + 11?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (1*sqrt(132)*-1 + sqrt(132))\/(sqrt(3) - (-1*sqrt(30) + sqrt(30))\/sqrt(10)))**2*2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -118?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209 - 140. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 1:52 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 22*h + 56. Let u be r(-4). Let z(b) be the first derivative of 1\/5*b**2 - 1\/10*b**4 + 1 + u*b - 2\/25*b**5 + 2\/15*b**3. Factor z(g).\nAnswer: -2*g*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 357314\/9, 4\/39 in decreasing order.\nAnswer: 357314\/9, 5, 4\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29731 - -57383.09066?\nAnswer: 27652.09066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -840*l - 2527. List the prime factors of j(-5).\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-982684.\nAnswer: -2948052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - a**2. Let u be v(-1). Suppose 0 = 4*i - 82 + 86. Let c(d) = 6*d**2 - d - 2. Let o be c(i). Solve 3*g - 3*j = 5 + 1, -o*g + 3*j = -u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/224 - 9*g**7\/140 + 21*g**6\/80 + g**5\/40 - 15*g**4\/8 - 1917*g**2. Suppose t(j) = 0. Calculate j.\nAnswer: -1, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 114, 261, 476, 765, 1134, 1589, 2136?\nAnswer: 2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - (-4)\/10 - -11219. What is a rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 11) in base 13?\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (422\/(-4) + -4)\/(3\/(-26))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(19\/((-513)\/(-18)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*b + 429*b = 2*z + 25, 5*z + 103 = b for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -450.5 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 4*i + 7. Calculate g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, s: 1, p: 1, v: 2, l: 1}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*q - 2*w + 2, 4*w = 0. Let b be 3\/q + (-1 - 16\/10). Let 11\/5*j + 2*j**2 - 8\/5*j**3 + b = 0. Calculate j.\nAnswer: -1\/2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o**2 + 8*o - 3. Let z be (-35)\/((-3640)\/608) + (-2)\/(-13). What are the prime factors of t(z)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 48*y = 1365. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 not equal to -53.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -125 and 26?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 522 and 21?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 4*n + 536259*n**3 - 542232*n**3.\nAnswer: -5973*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40703 (base 9) to base 7.\nAnswer: 141114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 16*b**2 - b - 4. Let p be a(-16). Suppose 153 = 2*y + 5*k, 3*y - 5*k + 88 = 355. What is the greatest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Suppose -2*n - 4*x + 36 = 2*n, -3*x = -5*n + 5. Let a(c) = 18*c + 22*c**2 + n*c - 22*c. What is g(a(p))?\nAnswer: -484*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -12, -8 in descending order.\nAnswer: 3, 2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623 + 981*w**2 - 623 + 2880*w**2.\nAnswer: 3861*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6 = -2*q, 3*q = -2*q - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2023021 - 230211?\nAnswer: -2313232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 28*f + 1033. List the prime factors of v(44).\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -41)*(0 + 1) is divided by (-3)\/34 + (-643302)\/(-42636).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -502500?\nAnswer: 502504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/385*-5)\/(40\/(-364)) + -10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73880266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 - 1. Let b(h) = -3*h**3 + 2*h**2 - 2. Let x = -41 - -45. Give x*a(p) + 2*b(p).\nAnswer: -2*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 651049 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13418 and -0.4.\nAnswer: -0.26582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12038 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 + 3*b**2\/2 - 9*b. Let m be x(-6). Find the common denominator of 4\/3 and 2 + 1 + (-18)\/m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341*b - 937*b - 6132*b - 644*b to h*b + i and give h.\nAnswer: -7372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 83)\/20 - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d + 3*q - 47, 4*d = -3*q + 136. Calculate the greatest common divisor of 5 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -5 + sqrt(2057)*2 + -4)**2.\nAnswer: -440*sqrt(17) + 8328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9540 and 698540.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -86b37?\nAnswer: -86b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5206, -5204, -5202, -5200, -5198, -5196?\nAnswer: -5194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbt when three letters picked without replacement from upzdpbtdbzpb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/5 - 194*t**3\/5 + 2592*t**2\/5 = 0?\nAnswer: 0, 16, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 41 = -4*o - 21, 0 = -c - 7*o - 35. Solve c*s - 26*s - 1 = -h, -4*s + 8 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 40. Is 10 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3231.99 to the nearest ten.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - ((2*sqrt(272) - sqrt(272)) + 5 - sqrt(272) - sqrt(272))) + sqrt(272) + (sqrt(272) - (-5 + sqrt(272) - sqrt(272))*2))**2.\nAnswer: 160*sqrt(17) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 121210112121 (base 3) to base 14\nAnswer: 886c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 6*t**2 + 3*t + 3. Give c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 3 + -3 + sqrt(7) - (sqrt(70) + sqrt(70)*-2 + sqrt(70))\/sqrt(10).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose r = -g + 4*b, 0 = -5*g + 3*b - 4*b + 42. Calculate the remainder when 28 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 334\/16953 or -1?\nAnswer: 334\/16953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, q: 4, b: 1, t: 1, x: 1, s: 2}. Give prob of sequence bs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**4 - 2*k**4 - 2 - k + 8 + 2*k**2 - k - 17*k**3 - k to z*k**3 + c + o*k**4 + h*k + p*k**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 3235, 5338, 7499, 9718, 11995, 14330?\nAnswer: 16723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517208 divided by -15212.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 868*z**2 - 2 - 614*z**2 - 2*z as f*z + k*z**2 + l and give k.\nAnswer: -1482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.4 + -39. What is the third biggest value in 0.58, -2\/3, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*8.66\nAnswer: 17.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -29892474\nAnswer: -2\/14946237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3190 divided by 145.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 34*z**2 + 30*z + 35. Give x(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-19)\/w**(-12\/13) assuming w is positive.\nAnswer: w**(-235\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 1.99. Let w be ((1 - 2\/8) + -1)*(2 - -1). Let z = 0.46 - -0.54. Sort l, w, z in ascending order.\nAnswer: w, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(2)*1 - sqrt(16)\/sqrt(2))*4)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 23*f**3 - 8 - 15 wrt f?\nAnswer: 69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 118.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316728.1 days to minutes.\nAnswer: 456088464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-28))\/((8\/224)\/((-2)\/2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-44))\/((-1)\/22). Suppose 45 = -q + 141. Suppose 0 = y - 5*y + q. What is the highest common factor of y and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -3939146.\nAnswer: -16\/1969573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -12699?\nAnswer: 1\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40757291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 1665*f - 74200.\nAnswer: -5*(f - 280)*(f - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 953640+1.1\nAnswer: 953641.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 18*h**2 - 36*h + 4. List the prime factors of u(-19).\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/186 and -8\/7.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 6440?\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 4*l**2 - 1 + l - 6*l. Let t be q(1). Suppose 0 = -t*s + 5*s - 3. Calculate the greatest common factor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478, -1630, -2782, -3934, -5086, -6238?\nAnswer: -7390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/10 + 60\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.5.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-199*w + 165 - 165)*(-w**2 + 0*w**2 + 0*w**2 + (-3*w - w + 5*w)*(-w + 0*w - w) - w**2 - w**2 + w**2) to a*w**3 + o*w**2 + v*w + c and give a.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*n - 13. Solve -5*k - 8 = n*i + 5, -5*i - 11 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370054403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -6*u - 3*u + 13*u + 10, 0 = -17*l - 6*u - 20 - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**2 + 4 - 4 - j**2 to the form a + n*j**2 + t*j and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a - 84 = -44*a + 56 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3.3. Let s = 0.3 - l. Let v = s - -2. What is the nearest to 2\/7 in -5\/2, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 2528194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*v = -21 - 59, -5*v - 105 = 5*z. Which is smaller: -22 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -5*k**8\/336 + 2*k**7\/7 + k**5\/60 + 91*k**3\/6 + 118*k**2. Find the third derivative of g(m) wrt m.\nAnswer: -300*m**2 + 1440*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 278 = 4*f, 340 = 5*f + n. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 717 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*d + 3. Let r(y) = 4*y + 11*y + 8*y + y**2 - 29*y + 1. Calculate r(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, o: 7}. Give prob of picking 2 o.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllllwwllwlwllllllll. Give prob of picking 2 l.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 10*m + 20. Determine h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 162119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q + 6. Let o(u) = -u**2 - 12*u - 18. Let j be o(-6). Let m be (12\/j)\/((-2)\/3). Let k be ((-4)\/(-8))\/m*0. Give t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8381992 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 4*w = 0. Calculate the smallest common multiple of 80 and (-6 + w)\/((-42)\/28).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*i + 21*i - 70*i.\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 5)*((4 + 1 - 4)*(-3*u**2 + 4*u**2 + 0*u**2 + u) - 2*u**2 - 1 + 1) as m + t*u**2 + l*u and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40337 (base 12) to base 9.\nAnswer: -136377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 + 1 = 0. Suppose 2*y = 2*k - 124, -y = -j*k - 2*y + 298. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 140*w - 139*w = -36, 45 = -5*z - 2*w for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 64228719.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (-1 - 2))*3. Let v = j - 18. Calculate the remainder when 4 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 + 11. Let k = 31 + -31. Let g = k + 5. Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 4, e: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 6*j**2 + 9*j + 4. Suppose 3 = l + 5*c - 7, 15 = 2*l + 5*c. Suppose -l*o + 6 + 29 = 0. Calculate the remainder when g(o) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162684 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/696138 and -139\/10164.\nAnswer: 1179257772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60694330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/((-1242)\/156)*((-3)\/2)\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5227695\/145 + 16 + 2\/(-29) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-234)\/48 - -5). Solve -a - z = a + q, 4*a = z - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 353 - 358. Let k be x*(-14)\/(-105)*-18. Let n(u) = 45*u - 3. Let y be n(3). What is the highest common factor of k and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1370)\/4)\/(3\/120*-1). Round k to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, -8 in decreasing order.\nAnswer: 2, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(3\/8)*v*v)))**(-5\/17)\/(v*(v**(-9\/4)\/v)\/v*v*v**(-10)) assuming v is positive.\nAnswer: v**(1561\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-19 - -59) + -30)*1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263863.\nAnswer: 1263863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136630, -13, 1 in ascending order.\nAnswer: -136630, -13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 - 1280 = -v - 23*v. Calculate the remainder when 1060 is divided by v.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1600)*3 - sqrt(1600)) + sqrt(1600))\/(((-3*sqrt(5) - sqrt(5))*-3 + sqrt(5) - sqrt(5))*1).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-63)*((-3)\/4)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 5. Let o be s(10). Let t be 55599998\/(-4) + o\/10. Round t to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*a - 15*a + 2513522 - 2514812 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -181. Which is the closest to v? (a) -2\/5 (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 23*j + 29*j + 14*j + 258 + 27*j - 51*j. Let l be s(-6). Let o be (-8)\/3*(-21)\/4. Solve -5*t - o = l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 29*b**2 - 2*b. Let a(q) = -2*q**2 + 9*q + 1. Let o(t) = 11*t**2 - 45*t - 5. Let l(g) = -5*a(g) - o(g). What is i(l(m))?\nAnswer: 29*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -253 + 695. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-1\/20)*s)))\/(s*s\/(s*s**(-29)*s)))**28 assuming s is positive.\nAnswer: s**(-3927\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36168, 36596, 37024, 37452?\nAnswer: 37880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131333222203 (base 4) in base 12?\nAnswer: 2772397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*9 + 1 - 2. Let f = 72 - 98. Let l = f + 36. What is the highest common divisor of l and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 271, -22, -5 in decreasing order.\nAnswer: 271, 1, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -31. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {x: 2, h: 9, e: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -1.652.\nAnswer: -1.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 67*v - 10390. Let a(j) = -87*j + 13853. Determine -10*a(y) - 13*r(y).\nAnswer: -y - 3460","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 17. Let m(p) = -p**2 + p + 3. Let k be m(0). Let r be 6 + -3 - k - -5. Solve j*f = -r*s - 27, 2*s = f - 6 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**3 + k**3 + 5*k**3)*(1 + 2 + 1)*(-3 - 3 + 1)*(-k + 3 - 3) to l*k**3 + s*k**4 + a*k**2 + j + p*k and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.817 + 0.183. Which is the closest to 1? (a) -0.04 (b) m (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (416*q + 631*q + 269*q)*(-3*q + q - q + (-2*q - q + q)*(-1 - 3 + 6) + 2*q - 5*q + 2*q).\nAnswer: -10528*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 32. Let b = i - -16.99999921. Round b to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4679 - 4660. Let p(u) = 4*u. Let d be p(1). Solve -j = -d*j - 5*g + q, -j = -3*g + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v = -319 - 221 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0.1, 5, -116, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 3*g**2\/2 - 40*g - 39. Let p be n(14). Let t = -3 - -4. What is the second smallest value in -0.3, p, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 1711*b**4\/12 + 935*b**3\/2 + 10*b - 7. Find the second derivative of i(y) wrt y.\nAnswer: 3422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*s**5 - 183*s**4 - 3519*s**3 - 10965*s**2 - 2850*s = 0. Calculate s.\nAnswer: -5, -2\/7, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {b: 4, e: 2, l: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n + 42*n - 49*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21.9, -1, 2, -1\/21, -5, 4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - (-19 + -11 + 19)) + 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90135079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/6)\/1 - 1. Let q(o) = -11*o**2 - 1226*o + 3197. Let s be q(-114). What is the second smallest value in s, b, 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92\/315 or 1?\nAnswer: 92\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15977620, 15977621, 15977622, 15977623?\nAnswer: 15977624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 114\/27 - (-4)\/(-18). Suppose -3*g = 2*u + 1 - i, -4*u = g - 21. Let q be (2\/(-5))\/((-1)\/135). Calculate the highest common divisor of u and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4586055.34*-0.5.\nAnswer: -2293027.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 17*w + 58. Let g be l(-13). Let d(h) = -h**3 + 2*h**2 + 2*h - 2. Let c be d(2). Differentiate 4*n**2 - 8*n**2 + 6*n**c + g wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0 + 6. Suppose 0*h - 3*h = -t + 31, -m*h = -t + 28. Suppose 9*b + 12*b = -29*b + 5500. Calculate the highest common divisor of t and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*t - 40, 0*t - 10 = -p - t. Suppose -85 = p*f - 11*f. Calculate the greatest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*(2788\/(-510))\/(-82)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 54933693 and -0.1.\nAnswer: 54933692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:06 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Let a be ((-10)\/s)\/(-5) + 1. Let t(k) = -6*k. Let q(m) be the third derivative of -5*m**4\/24 + m**2. Calculate a*t(z) - 4*q(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 69431725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 18 = 0, -3*o + 4*c = -1 - 17. Let w(z) = -4*z**2 + 3. Let u(a) = -a**2 - 1. Calculate o*w(m) - 6*u(m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52869179.\nAnswer: 11, 103, 46663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:27 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 425*m**4 + 2 + 25*m - 680*m**4 - 10*m + 518*m**4 wrt m.\nAnswer: 3156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 9:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, e: 1, l: 3}. What is prob of sequence jel?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1558\/2283 + 12\/761. Let y = -78\/5 - -16. What is the closest to j in 2\/9, y, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 6 (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/8*(171\/15 + -11). What is the closest to v in 7, -0.3, -1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**3 - z**2 + 5*z - 50. Let s(x) = -6*x**3 - x**2 + 4*x - 51. What is 5*s(d) - 4*y(d)?\nAnswer: -2*d**3 - d**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15119 and 0.7?\nAnswer: -10583.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**3 - 40*f**2 + 505*f + 350.\nAnswer: -5*(f - 5)*(f + 7)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-2 - -1) - 0. Let c = y + -4. Let j = 8 + c. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + (-1 - (-21 - -24)) + 1 + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**3 - 2*c**2 - 2*c - 105. What is the thousands digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**8\/1344 - g**7\/360 - g**6\/90 + g**5\/30 + 5*g**4\/12 + 4*g. Let l(j) be the third derivative of y(j). Factor l(q).\nAnswer: (q - 2)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -19 - -1) + 5 + (-1 - 62)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Suppose -3*j = v - 13, -22*j = -20*j + 4*v - 22. Let w = -127\/120 + 9\/8. Which is the second smallest value? (a) w (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -676 - -831.2. Let a = 277.5 - t. Round a to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cb8a - e?\nAnswer: cb7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-2) - (-95)\/(-171)) + 9. Which is the closest to 2? (a) w (b) 4 (c) -12\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-14) - -1996*2\/28. Let l = o + -106. Calculate the least common multiple of 44 and l.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644171945.\nAnswer: 5, 137, 487, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 0.04, 0, -1\/2, 45, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3 - s**3 + s**2 + 0*s**3 - 3*s**2 - 2*s. Calculate the remainder when (2 + 2 - -3)*(10 - 5) is divided by m(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 256. Let x = w - -13. Find the common denominator of -57\/4 and (-1)\/2 - x\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/5 + 188422*f\/5 + 5088852\/5 = 0. What is f?\nAnswer: -27, 94238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 13*l - 17. Let d be u(-6). Sort 3, d, 1 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 284, 310, 334, 356?\n\"Answer: -l**2 + 29*l + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3 + 10*k**2 + 6256*k - 145656 = 0. What is k?\nAnswer: -63, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**2 + 1. Let g be o(2). Suppose 2*y + g = 4*y - 3*x, y = x. Suppose 8*f - 8*f - f = 0. What is the nearest to f in 3, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-2 + sqrt(275))*-5) + -2.\nAnswer: -12 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 8*m**2 + 9*m + 20. Let t be f(-8). Which is greater: -160\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t**5 - 9*t**4 - 5*t + 4?\nAnswer: -380*t**3 - 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 - 65.7. Let b = -1450492.0039 - -1450555. Let q = b + c. Round q to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 8*p**2 - 15*p - 8. Let m be c(-6). Suppose -2*g = 3*g - m. What is the second derivative of 0*h + 4*h**4 + g*h - h + 2*h wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2561 (base 8) to base 12.\nAnswer: -981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 4. Solve 3*h = b - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*70\/42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1512 and 3696.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -35261*u + 7369548. Give r(209).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*p = -581, -2*p + 429 = -3*v + p. Let k = v - -218. Let a = k + -49. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 101836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h**2 - 6*h - 1. Is v(9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -3\/35 (c) 1.476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -106*a**2 + 412*a + 919. Differentiate g(s) wrt s.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1137*h**3\/2 + 35650*h**2 + 20869*h\/2 - 504 = 0.\nAnswer: -1\/3, 16\/379, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times -137797.5?\nAnswer: 261815.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -154. Let g = -149.99999883 - u. What is g rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 1, -8, 5 in decreasing order.\nAnswer: 5, 2, 1, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 2*l**2 + l + 40. Let p be s(0). Suppose 9*y - p = 5*y. Calculate the remainder when 19 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38198*c**3 - 3*c**2 + 3*c**2 - 38169*c**3.\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 43 - 2*q**3 - 38.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h + 4. Let d(r) = 18*r - 5. Give -2*d(x) - 3*l(x).\nAnswer: 21*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-45)\/24)*-3. Let b = v - -3. Let m(c) = -c - 7. Let p be m(b). Put p, 4, -1 in descending order.\nAnswer: 4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-16)))**(-15)*(x**(4\/25)*x)\/(x**(1\/26)*x) assuming x is positive.\nAnswer: x**(-155921\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) -2121 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v**2 + 57*v - 27. Let r(o) = o**2 + 2*o + 2. Let d(g) = b(g) - 22*r(g). Let p(m) = -20*m - 1. Let h be p(1). What are the prime factors of d(h)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1\/5 (c) 0.8 (d) -2\/13 (e) 8 (f) -4 (g) -2809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 138. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/12)\/(3\/(-27)). Let p be ((-24)\/60)\/((-1)\/k). What is the units digit of (-9)\/p*(-304)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3980 - -23881\/6. Which is the fourth smallest value? (a) 4 (b) 6 (c) -2\/5 (d) -4 (e) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3729 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -365*z + 363*z. Sort -1, 11, z, -4, 0 in decreasing order.\nAnswer: 11, 0, -1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -739 - 742 + 2848*x + 1481 in the form o*x + t and give o.\nAnswer: 2848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/559466284 and -13\/258215208.\nAnswer: 3356797704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 14. Give t(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17086 (b) -5 (c) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 23*s - 30 = -w, 4*w - 2*s - 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2769738, 2769735, 2769732?\n\"Answer: -3*p + 2769741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -409, -5, -1 in ascending order.\nAnswer: -409, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1294738 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/1833 + 1892\/(-8580) + (-183)\/(-45) + -4.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = -38 + 178. Solve 2*y + 2*k - 5 = 15, k = -j*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3179 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1353 - 113?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -767010 (base 8) in base 6?\nAnswer: -5304200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 6*t - 4. Let g(u) = -2*u - 14. Let m be (-27)\/5 - (-4)\/10. Let l be g(m). Let o be i(l). Which is the biggest value? (a) 5 (b) -2\/31 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315333184 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.100261859 - 46166?\nAnswer: -46166.100261859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21 = -2*r. Let k(c) = c + 8. Let f be k(-5). Suppose -5*d = 2*b - 4, -8*d + f*d + 2 = b. Solve b*w - r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + ((1 + sqrt(1216))*-5 - sqrt(1216))).\nAnswer: -160*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40264)\/104 + (-8)\/(-52). Let s = 391 + p. Solve -2*v + s*c + 10 = 0, 3*v = 5*c + 4 + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5882.8031685411 + -6218433.1378322289. Let i = y + 6224316. Let w = i + -0.059. Round w to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 22 = -2*c + 30, -c = 2*a - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/5, -1655, 3, -2\/41, 5\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 119a?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b - 122. Let r be (-3)\/5 - (-6)\/10. Suppose 5*i - 1 - 9 = r. Calculate the lowest common multiple of w(22) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31386 divided by -3.\nAnswer: -10462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279528 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110775 divided by -4.\nAnswer: -110775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834754.\nAnswer: 2, 417377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3446057, 6892029, 10338001, 13783973, 17229945, 20675917?\nAnswer: 24121889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - 1. Suppose -6*t + 2*t + 16 = 0. Suppose 3*y - t = -y. Let r be o(y). Which is the biggest value? (a) 0.2 (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - 12) + 0 + -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252958501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114638.87 and -3?\nAnswer: 343916.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phjhhhhpx. Give prob of sequence xp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from grrnpnbnnggnbnr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:28 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7 + 1. Suppose 2*g = 3*j - 50, -2*j + 0*g + s*g = -32. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(1\/(-3)). Let n = 0 - h. Suppose 36*a + 124 = 67*a. Sort a, n, -1 in descending order.\nAnswer: a, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*r = 226*r - 1854 + 5298 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 114991 and -1887557.\nAnswer: -1772566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:44 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -41 (b) 0.1 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/616 and -115\/6?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*h = -b + 236, 336 = 4*b - 4*h. Let g = -125 - -66. Let d = b + g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*p + 6 = 0, v - 8 = -0*p + 4*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -24*o**3 + 741*o**2 + 94*o - 39. Give p(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112547796 divided by -6.\nAnswer: -18757966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3136 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83408 at most as big as 83408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**2*i**2*v - 2*h**2*v**3 - 3*h*i**3 - 77862*i**3*v**3 - 11*i**3 + i**2*v + v**2 wrt v.\nAnswer: -12*h**2 - 467172*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*m + 18 = 224*m. Put -4, 43, m in decreasing order.\nAnswer: 43, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45717613 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmqm when four letters picked without replacement from mqmqqmqqqqqqqmqqqqqq?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*l = -l - 4, 3*l = 2*a + 1. Let s = -4944 + 1448594\/293. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(32)\/sqrt(4)) + 2.\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86707334.\nAnswer: 2, 7, 6193381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 6. Let x be n(4). Factor 0*v**2 - 5*v - v - 2*v**x + 4*v**2.\nAnswer: 2*v*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, h: 1, l: 4, k: 1, x: 1}. Give prob of sequence xkl.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*r + 142*r - 59205. What are the prime factors of r?\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 4) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {r: 2, w: 1, s: 1, y: 1, j: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + (7 - -5))\/((-15)\/(-20)). Solve -4*d - 5*f = -19, d + 2*f - 3 = j*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 - 798 = b + 5*k, -197 - 19 = 5*b + 3*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-28 + -5) - -15 - -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/8*-2 + 2. Let v be ((2 + a)*2)\/(-7). Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 4*d**2 + 2 - 4*d**2)*(0*d**2 + 2*d**2 + 0*d**2) + (-2*d**2 + d**2 - d**2)*(d**2 + 3*d**2 - 6*d**2) + 65*d**4 - 159*d**4 - 49*d**4.\nAnswer: -143*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 5. Let d be t(-7). Let j = 34 - 30. Suppose -p - 6 = 4*v - 20, 0 = -j*p - 8. Solve -5*w + 30 = c - 10*w, -v*w - 10 = d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*2\/(-5)*350\/490\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*i - 4 - 0, 3*i + 5*q = -50. Let g(p) = 2*p**2 + 19*p - 10. Let j be g(i). Solve j*d = d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-23)\/z*z*z)\/z)\/z**(-42)*z**15*z**(24\/11))**(-1\/7) assuming z is positive.\nAnswer: z**(-398\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15365311.\nAnswer: 13, 23, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u + 81. What is the lowest common multiple of b(-3) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 3*k + 80 = -11*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1393706, -2787412, -4181118?\nAnswer: -5574824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-323)\/92378)\/(7\/154).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18838 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 21 = 3*s, 0 = 3*c + s - 1. Let r(o) = 2 + c - 5 + 2 - o**3. Let n = 3 + -4. Determine r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 40 = -9*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 559489 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42177.\nAnswer: 3, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8968140505397\/3338 - -2686680838. Let u = 2\/1669 + z. Calculate the common denominator of -37\/10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37541949.72 rounded to the nearest 100000?\nAnswer: 37500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 13*g - 1429. What is h(40)?\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176162, 352318, 528474, 704630, 880786?\nAnswer: 1056942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3121 + -1.6021. Let k = -541.71 + 544. Let t = p + k. What is the nearest to 0.1 in 4, 6\/7, t?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-16)*(-32)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006619346 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204058 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376 + -373 - (-1 - (21 + -1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453 + -4973\/11. Which is smaller: q or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.944666ml in litres?\nAnswer: 0.000944666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cfce + -3e2?\nAnswer: -1d3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5)**(13\/6)*h\/h**(-1\/3)*h**(3\/13))**(-1\/76) assuming h is positive.\nAnswer: h**(-967\/5928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 3 (c) -46148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -s - 2*k, 0*s - 1 = s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 499570 and 62?\nAnswer: 15486670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400346, 800687, 1201028, 1601369, 2001710, 2402051?\nAnswer: 2802392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9000\/8400*26\/(-10) and 1\/10*1010\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g + 5*g**4 + 0*g - 2*g + 9 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121549\/98310 - -10\/3277. Let x = m - -9\/10. Let u(p) = 2*p - 13. Let d be u(9). Which is the smallest value? (a) -4 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37215917273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -36, -42, -40, -24, 12?\n\"Answer: i**3 - 5*i**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 908346.6 nanograms in tonnes?\nAnswer: 0.0000000009083466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114 + (4\/(-10))\/(12\/(-30)). Is 23 a factor of f + (-5)\/(-25)*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(60)\/sqrt(2) - sqrt(300)\/sqrt(360))\/(-2*sqrt(150)*5 - -5*(sqrt(150) - ((sqrt(150) - sqrt(150)*1) + sqrt(150)))))**2.\nAnswer: 11*sqrt(5)\/75 + 72121\/18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1) + -5 + 5. Let c(l) = -l**2 + 5*l - 4. Let z be c(u). Suppose -z*x + x = 0. Solve 3*s - 4*p = 15, -5*s - 3*p = -x*p - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14181 = 3*x, -97*n + 102*n - 10 = 0. What are the prime factors of x?\nAnswer: 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.928 - -0.072. Let z = 39.6 - i. Sort -4, z, 0.5 in descending order.\nAnswer: 0.5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, 1\/2, -60?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6)*(85306 - 107*q - 85306)*(0 + 0 - 2*q**2).\nAnswer: -1070*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 3*v**2 - 6*v**2 + (-v + 2*v + 0*v)*(1 - 1 - 2*v) - 3*v**2 + 4*v**2 + 0*v**2 to the form m + w*v + z*v**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.062309 + -12.114621. Let y = -51.23 - h. Let l = y - -0.053. Round l to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10478342, 10478375, 10478428, 10478501?\n\"Answer: 10*l**2 + 3*l + 10478329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) + 3 + -4. Suppose p*r + 74 = 5*x + 4, 85 = 5*x - 5*r. What are the prime factors of 1228\/x - 1\/3?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*h**5 - 30*h**2 + 5 wrt h?\nAnswer: 5400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -11, -8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -41, 124, 6 in ascending order.\nAnswer: -41, -2, 0, 6, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -576153 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12511 (base 7) to base 6.\nAnswer: 23244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901*o = 2916*o + 150 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -181*l**2 + 354*l - 4. Let d(t) = 2*t**2 + t + 1. Let g(c) = a(c) + 4*d(c). Find the second derivative of g(r) wrt r.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 46, 105, 178, 259, 342?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 2519062252 - 8*l - 2519062252.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27875, -56225, -84575, -112925, -141275, -169625?\nAnswer: -197975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.57 - -0.57. What is the smallest value in b, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:58 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 42 - (371 + -374)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 1, n: 4, v: 2}. What is prob of sequence ln?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 152.0009028. What is p rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170464480601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 386672 (base 10) to base 15\nAnswer: 79882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -77*r - 4. Let a(f) = -37*f - 2. Determine 5*a(v) - 2*m(v).\nAnswer: -31*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-628)\/55 + 4\/(-22). Let v = 532\/45 + t. What is the closest to 1\/3 in 1, -4\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5 + 33*c**4 - 3780*c**3 + 55728*c**2 - 243648*c = 0. What is c?\nAnswer: -47, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 11. Calculate the remainder when t is divided by -6 + (4 - -6 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049941387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/17)\/b)\/(b*b**(-18)*b*b) assuming b is positive.\nAnswer: b**(240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470780253 - -0.5.\nAnswer: 1470780253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -5) + (2 - 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 1. Let z be b(4). Suppose u = -z + 7. Suppose -3*p = -5*j - 0*j - 40, -p = -u*j - 25. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -132 - 8*b**2 + 132 + (5*b - 2*b - 2*b)*(0*b - 2*b + b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l - 110 + 110.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1952 + 1947. Suppose 13*x = -3*x - 16. Which is the biggest value? (a) x (b) -3\/5 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1584) - 5*-2*sqrt(1584)).\nAnswer: -132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = 0, -3 = -2*m - 1465*x + 1460*x for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 948009 = -123332 + 1000770. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let o = -1.08 + n. Let d = -6 + 5. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -140208 and 2362.\nAnswer: -137846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 88681.61 grams?\nAnswer: 88.68161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5538000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2071*o - 3100*o - 809*o = -152554 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 85*p**2 - 49*p + 383. Is h(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r = 152 + 80 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/56 + (-102)\/357*3\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(1 - 3 - 1)*(3*j**2 - 4*j**2 + 2*j**2) to k + d*j**2 + c*j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from ggpoongrgno.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let a be c(0). Let b(d) = -9*d**3 - d**2 - d. What is the units digit of b(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y**3 + 153*y**2 - 78*y = 0. Calculate y.\nAnswer: -26, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 258 - 183. What is the remainder when k is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**4 - 520*f**3 + 3*f**2 + 396*f + 6. Let w(g) = 3*g**4 - g**3 - g**2 - g - 2. Let r(h) = b(h) + 3*w(h). Find the second derivative of r(i) wrt i.\nAnswer: 36*i**2 - 3138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3995 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -1\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 31175232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:30 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/12)\/(3\/(-934)). Let p = 1314 + r. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b - 2*u = 154, -3*b = u + 227. Let m = b + 79. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.187903 hours?\nAnswer: 11476450800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*a + 8*a - 37*a)*(-a - 2 + 2).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 10 (c) 571 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -4.9. Let y = -5 + p. Let i be 1\/2 + 1\/14. Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1528056164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - d**4\/12 + d**3\/6 - 2*d**2. Let k be v(3). Suppose -4*p - 5*n = -n - 56, -k*n = -4. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 398 = 4*l, 0 = l - 2*z - 14 - 78. Suppose -38 = 8*c - l. Solve -c*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1051 + -1034 + -3 + (-2 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**24)**(9\/7)\/((s*s*s*s*((s\/(s*s*(s*((((s**25*s)\/s*s)\/s)\/s)\/s*s)\/s))\/s)\/s*s)\/s**(-20)) assuming s is positive.\nAnswer: s**(239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12351 + 12352. Sort m, 2141, 4 in increasing order.\nAnswer: m, 4, 2141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 6938*g + 69457. Calculate h(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 194\/11 - (-100)\/275. Calculate the greatest common factor of q and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397028.\nAnswer: 2, 3, 47, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -128. Solve 9 = -8*c + o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - (sqrt(70) - (1*sqrt(70) - sqrt(70)))) + sqrt(70))*-6 - sqrt(70))*-1)\/((sqrt(1000)*-3 + sqrt(10))*-6).\nAnswer: 7*sqrt(7)\/174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*v + w, -7 = -4*v + 4*w + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14611657081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -212302 (base 5) to base 2\nAnswer: -1110000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -24) + (-4 - -15) + -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 12346?\nAnswer: 12346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11643.837+10.7268\nAnswer: 11654.5638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2801569 days to weeks.\nAnswer: 0.3257367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53910985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36704, -33853, -31002?\nAnswer: -28151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*i + 1617*i = 792*i - 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 12*t**2 - 14*t + 17. Let c = 2 - -3. Suppose -c*x + 25 = -75. Calculate the least common multiple of w(13) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 6*i - 27. Let f be g(9). Suppose -3*d + d + 0*d = f. Solve -3*s = 5*a + 8, d*s - 2*a = -s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*z + 7, 0 = -3*t - t - 3*z + 9. Suppose -a - t = -0*a. Let c = 429 - 427. Sort a, 0, -5, c in decreasing order.\nAnswer: c, 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803832 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 - -463. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62667540 and 16353.\nAnswer: 1441353420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -156\/17 and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 30. Let l(k) = -k - 15. Let g(i) = 2*b(i) - 5*l(i). Let d be g(-13). Let y = 2 - 0. Solve -q - d*q + y*f - 5 = 0, 0 = 5*q + 4*f - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-36) - 24\/32*2\/6.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 0. Let m be (-8)\/(-2 + f - 0). Let d(n) = -n - 2. What is d(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2337687 is divided by 106258.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23683 divided by 19006?\nAnswer: -23683\/19006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 8 = -h + 4*h, 2*h = z + 3. Let c be (20\/(-6))\/(4\/(-6)). Let p = c - h. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 262 = 487. Let o = -102 - b. Suppose -o*k + n + 871 = 0, -4*k + k - n = -529. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*k + 19, 18*n - 21*n + 13 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 - (2 + -6). Let q be (-1*(2 + x))\/((-4)\/4). Suppose 0 = -4*z - q*n + 51, 0 = 3*z - 4*n + 13 - 90. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6 + 0 + 4 + 7*r - 2. Let i(t) = 6*t - 6. Let v(y) = -5*y + 5. Let m = 8 + -12. Let p(d) = m*i(d) - 5*v(d). Give -5*p(h) + z(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 1984?\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.017 + 24.383. Let r = b + -22. What is r rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o + (2 + 4 - 5)*(0*o - 3*o + 2*o) - 34*o + 14*o - 3 + 19*o)*(-3 + 0 + 1).\nAnswer: 6*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**8\/336 - 3*p**5\/20 - p**4\/24 - 101*p**3\/3 - p**2 - 327. What is the second derivative of m(z) wrt z?\nAnswer: -20*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177182, 354426, 531670, 708914?\nAnswer: 886158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*l = -0*q + 6, 2*q + 5*l = -6. Let i be (36\/81)\/(2\/q). Which is the third biggest value? (a) -2 (b) i (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 9*a + 11. Let g = -2 + -6. Let w be f(g). Solve w - 2 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -227. Let x = 329\/2 + o. Which is the biggest value? (a) 2\/9 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Let c be x(-3). Suppose -1 = -c*y + 1. Let o be (y + -6)*5\/(-5). Solve 2 + 15 = -t - 4*w, -9 = o*t + w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, q: 5, j: 1, u: 2, t: 3, h: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86304 <= 86304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1523*c - 124886. Determine w(82).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvvvvvvivviiviv. Give prob of sequence ivv.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-6 - (10 + -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22609444.7421 take away -3919?\nAnswer: -22605525.7421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*z - 106, -301 = -5*w + 3*z - 7*z. Suppose -269 = -m + w. List the prime factors of m.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -15. Which is the closest to 1\/2? (a) l (b) 0 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/2*12\/21. Let u(i) = 6 + 7*i**a - 2*i + 4 - 4 + 7*i. Let c(o) = -6*o**2 - 4*o - 5. Determine 5*c(z) + 4*u(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + h**2 - 2*h**2)*(h - 3 + 3)*((0*h**2 + 3*h**2 + 3*h**2)*(-4 - 2 + 4) - 40*h**2 + 172*h**2 - 43*h**2).\nAnswer: 154*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.021 (b) -3 (c) 0 (d) -1\/3 (e) -0.1 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.5 (c) -11 (d) 16 (e) 7 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(891) + 2 + sqrt(891) + sqrt(891) + -1 - -6*(sqrt(891)*-1 + -5))**2.\nAnswer: 1458*sqrt(11) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.9 - -24. Let d = 2 + f. Which is the closest to d? (a) -1 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.2 - -31. Do -0.2 and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2 + 2)*(-2*u**3 + 4*u**3 - 3*u**3) + (0*u**3 - 2*u**3 + 6*u**3)*(2*u + 21*u - 4*u).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 - 5*z - 4. Let q be l(-3). Suppose 3*g - 4*g - 7 = -2*s, 2*s + 2*g = -q. Which is the second biggest value? (a) 4 (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000000010000101 - 11?\nAnswer: -1010000000010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14579 = -3*w - 4*x, -3*w - x - 4*x = -14578. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 278. What is the remainder when 177 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171)*1 - sqrt(171)))\/(sqrt(441)*-1)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = -3*q, -q + 7 = 2*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4*d + 4)*(-12 - d**2 + 12).\nAnswer: -4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*l - 185 = -434. Suppose 0 = -h + 22. Let t be h\/(-20) + 2\/(-5). Sort l, t, -2 in decreasing order.\nAnswer: l, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -13, -2.3, -42?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 - 745*r**3 + 2*r**2 + 3930*r - 1 wrt r?\nAnswer: -24*r**2 - 4470*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974129483.\nAnswer: 974129483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-92)*1*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/265)\/(((-1)\/10)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 81 = 126. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19663 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192.8125 to 1 dp.\nAnswer: 1192.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 3*u**2\/2 + 39. Let w(n) = 51*n**2. Determine w(k(q)).\nAnswer: 459*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -23 (b) -3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 29777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.327 - -0.073. Let z = 16 - 15. Let x = -8\/21 + -2\/7. Sort z, x, u.\nAnswer: x, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1005 - -1413. Let l = f - 406.1. What is the biggest value in 4\/7, l, 1, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c. Let o(h) be the second derivative of -h**3 - 31*h. What is o(y(s))?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 20\/18319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 18*w**2 - 116*w - 310. Give f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/37 (b) 94 (c) 2\/215 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14668040 rounded to the nearest 100000?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 4, 0, 6\/22951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 44*d**2 + 162*d - 3. What is the remainder when 1382 is divided by i(40)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 244.0296 to one decimal place.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y + 0*y)*(-1414 + 607 - 913).\nAnswer: -5160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 221133 = -12*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 + 17 + 1\/(2 + -1). Let v = 11 + -6. Sort l, -3, v in descending order.\nAnswer: v, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/99 and 19\/432.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56626 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -49941?\nAnswer: 249705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47934 and 74564.\nAnswer: 671076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3 + 77*b**2 - 12*b + 2.\nAnswer: 18*b + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.02 in -2\/7, 2, -5\/6, -8, -5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:16 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-614 + 292 - 340)*(h + 0*h + 0*h + (-h + 3*h - h)*(3 - 2 + 0))*(-h**2 + h**2 - 2*h**2).\nAnswer: 2648*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Suppose -2 - 1 = -f. Solve y*g - g = -f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*p + 6, p + 8 + 37 = -4*c. Let j be 1\/(-6) - (-34)\/c. Let n(g) = -g - 8. Let s be n(-6). Which is bigger: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*t + u + 109651928, -20 = -5*u. Let q = -15412981 - t. What is q rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2001?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3818684*k**4 + 8*k**2 - 525161*k?\nAnswer: 91648416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**0\/b*b)*b*b)**(-32)\/((b**4\/b)\/b**(-1\/4))*(b*b*b*b**(-4)*b*b**(3\/4))**(-4) assuming b is positive.\nAnswer: b**(-409\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 22, 26, 32, 40?\n\"Answer: a**2 - a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 24*x - 95. Give n(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -27392*n - 219133. Determine c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 17, f: 3}. Give prob of picking 3 f and 1 c.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (8\/(-20) - (-6)\/15). Let y be (-5)\/(2\/(40\/36)) + j. Which is the closest to 10? (a) -2\/7 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -1, -5646 in descending order.\nAnswer: 103, -1, -5646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*3*(sqrt(114) + sqrt(114)*-2))\/(sqrt(24)*-3 + sqrt(42)\/sqrt(112) + sqrt(6)).\nAnswer: 36*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 738465 divided by 5?\nAnswer: 147693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(190))\/sqrt(10) + 2*sqrt(1900))**2.\nAnswer: 10051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7129 - 3*p**2 + 2*p - 7125 - 6*p. Let v(d) = 3*d**2 + 5*d - 5. Let x(a) = 2*a - 2. Let c be x(3). Suppose -5 - 11 = c*h. Calculate h*v(y) - 5*g(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -199, -16\/9, 1, 0.01, -37\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014065 rounded to 6 decimal places?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*l - 292*l - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 2573.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/(23\/(-4)). Suppose 1626*q - 1630*q = -16. Is q <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33805 - 20558. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237.2 + 262. Let q = l + -23. Let p = q - 2.8. Which is the closest to 2\/5? (a) 3 (b) 3\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 - 2051*l - 6087. Give v(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3065 divided by 5\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*q = 14, -6*u + 5*q = -2*u - 28. Factor 3*k**u + 2*k - 22 - 23 + 45.\nAnswer: k*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/5 + 57848*v**2\/5 - 41806740*v - 837060624\/5.\nAnswer: -4*(v - 7233)**2*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/38 and 25\/11?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 5:27 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4*(14\/(-6) + 3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -11*p. Let a(l) = 7*l - 10. Let g(r) = -6*r + 8. Let y(z) = 4*a(z) + 5*g(z). What is y(j(c))?\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 117956680 rounded to the nearest ten thousand?\nAnswer: 117960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722092 is divided by 180508.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - d + 2 = 0, -2*c - 5*d - 6 = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58514 is divided by 2165.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/88*4 - (-114)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 814*t - 91. Let f = -516 + 549. Is d(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28066346 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19*v - 102. What is b(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*v - 24 - 1705 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 4*k**2 + 151 + 14*k**2 + 3*k**2.\nAnswer: 21*k**2 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1718 - -1785. Calculate the remainder when 190 is divided by w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 9 - (-5 + 2)) + 42 + -26 + -82.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/108 and 1\/14619?\nAnswer: 526284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68904 - w**3 + 68900 + 10*w + 4*w**2 + 3*w**3)*(-3*w - 3*w + 7*w) in the form x*w**2 + y*w + o + f*w**4 + u*w**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 36 = -2*j - 34, -j = 4*f + 28. Let u = -23 - j. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12697*k - 920 = 12657*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-49) - (86\/56 + 1). Let o = -1.33 - -0.33. Which is the closest to 0.3? (a) -0.2 (b) o (c) -0.5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(112) + 0) + (-4 + sqrt(112) + 0 - (sqrt(112) - (sqrt(112) - (2 + -1*sqrt(112) - sqrt(112))))))**2*6*5.\nAnswer: -15840*sqrt(7) + 124590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) 0 (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 11. Let b be z(21). Let x = -41 + b. What is the lowest common multiple of 48 and x?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 8*i**2 + 3*i - 3. Let j be (217\/(-35) - -7)\/(1\/5). Let u be z(j). Suppose -u*s = -193 + 67. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/26*-8 + -1. Solve 0 = -b - 3, -5*k - o*b - 3 = -18*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -0.7, -5, 5\/3 in ascending order.\nAnswer: -5, -0.7, 2\/15, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 3*a + 8. Calculate u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {v: 1, e: 1, x: 2, q: 2, f: 2, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1120\/(-104) + (-1548)\/(-52) + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 78. Let q be g*((-3)\/1)\/6. Calculate the greatest common divisor of q and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkklllolklollkoxol. What is prob of picking 1 l, 1 o, and 2 k?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 915 by -15.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (-1 - 4) + 19 + -15 + 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-23)\/(966\/(-5404)))\/(4\/168*4). What is the greatest common factor of h and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 12*p**2 + 4. Let o be m(12). Solve -7 = -o*q + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 525000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*y = -y + 333, -2*s - 126 = 4*y. Let w = s + 98. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let c be (-231)\/(-42) + 28 + -33. What is the closest to k in c, 7, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.74118 * -2.\nAnswer: 1.48236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - -0.11. What is the third smallest value in -5, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from qqqqqqgwggqqwqwgqq.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 7*m = 9*m + 30, 6*g - 35 = -3*m - 140 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325376452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54596307 + -54595805.99767. Let d = -501 + j. Round d to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9 - -16.1. Let d = -143 + a. Let u = -106.1 - d. Round u to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**2\/2 - 8*c - 1. What is a(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800)*2 - sqrt(3800))\/(-5*sqrt(128)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 40*q + 20*q)*(3 - 2 + 1) + 3*q + 4*q - 4*q + (0*q + 2*q - q)*(-1 - 3 + 2) - 2*q - 1 + 1.\nAnswer: -51*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -441*o**3 + 145*o**3 + 5*o**2 + 144*o**3 + 5 - 5*o + 151*o**3 - 1. What is d(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3\/5*u**2 - 381 - 1908\/5*u = 0.\nAnswer: -635, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*k + 280.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 174*w**2 - 855*w + 7176. Give o(-179).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j. Let b(p) = 2*p**3 + p**2 - 3*p + 1. Let x(w) = -b(w) - 3*t(w). Suppose 2*s + 0 - 4 = 0. Determine x(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)*(v*v\/(v*v**(-15))*v*v*v*v)\/v assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 26*f**2 - 49*f - 70. Is v(24) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005296339 rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let v(r) be the second derivative of -3*r + 0*r**3 + 0*r**2 + 0 - 1\/12*r**4. Calculate l(v(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -17 + 39 - (3 - 0)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/(208\/(-40)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 30 - 9 = 0. Let t = w - 15. Calculate the highest common factor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 1, z: 2, r: 4, n: 4, h: 1}. Give prob of sequence rnn.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 3*x**4\/4 - 10*x + 6. What is the first derivative of t(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298589 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -45 + 39. Suppose -q + 2128 = 3*b + 3*q, -3*q + x = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -131*w - 409. Suppose n + i + 2 = 0, -24*i + 28*i = -2*n + 6. What is the units digit of k(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 62.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i + 154*i = -269*i + 18617400. List the prime factors of i.\nAnswer: 2, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 - 7*x - 25*x**2 + 15*x**2 + 2*x + 1117 - 4386 as m*x**2 + n*x + v and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, 404 in increasing order.\nAnswer: 2, 17, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 782113a (base 11) to base 14\nAnswer: 1b72080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 4. Let y(z) = -z - 1. Let q(v) = 2*t(v) + 11*y(v). Let f(w) = w - 3. Let c(h) = 6*f(h) - 4*q(h). Let r(n) = 3*n - 11. Give -7*c(j) + 4*r(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -4)*3\/1. Suppose 3*z - 14 + 44 = 0. Let r be ((-15)\/z + 0)*2. Solve -5*w = 2*n - 15, -2*w - k = -3*n - r*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.031 + -0.031. Sort j, 0.2, 4 in ascending order.\nAnswer: 0.2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 5*j - 11. Does 34 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - (36 + -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020002100 + 1112?\nAnswer: -2020000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/4 - o**2 - 3*o - 1. Let f(p) = -4*p**2 + 2*p**2 - p - p**3 - 4*p**2 + 5*p**2 - 1. Determine -2*f(s) + l(s).\nAnswer: s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452671627?\nAnswer: 173, 2616599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + b**2 + b. Suppose -1 - 3 = 4*n. Suppose -h = -5*d + 17 + 2, -3*h + 3 = 0. Calculate the lowest common multiple of i(n) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**5\/40 - 7*d**4\/24 - 62*d - 165. Let t(j) be the first derivative of h(j). Determine s, given that t(s) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + 1 + 0 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let t = -244\/5 - -49. What is the closest to 0.1 in x, -2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215 - 6*o + 377*o**3 - 192*o**3 + 286*o**2 - 216 - 189*o**3 to the form p*o**3 + a + h*o**2 + t*o and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 + -81. Let z be (112\/12)\/4*(-30)\/(-10). Solve -2*r + 3*p = -2, 0 = 2*r + 5*p - w - z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6*m + 7117 = -51281, 58378 = 3*l - 4*m. List the prime factors of l.\nAnswer: 2, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -48) + (-1 - 6) - -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 4*y - 2*q - 29, -y - 6*q - 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6 + 2. Solve 3*v = d*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 3\/4 (c) -3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmml. What is prob of sequence mml?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 + 10*h + 1. Give p(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7404887 and 100450?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 + 2124*b**3 - 60348*b**2 + 102676*b + 5787552 = 0 for b.\nAnswer: -8, 19, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20671.2 + 20671. Which is the second smallest value? (a) k (b) 1\/7 (c) -6\/7 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 85368 + 77154 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/(1 - 5)*(-6 - -18). Solve -45*c - f*c + 77*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*-2*sqrt(187))\/(-2*sqrt(11)*-6))*-5.\nAnswer: -5 + 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**3 - 9*w**2 - 7*w + 3. Let l(o) = 3*o**3 + 5*o**2 + 4*o - 1. Let t(n) = -2*j(n) - 5*l(n). Let y be 3*(-544)\/(-680)*(1 - 7\/2). Give t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112972216 is divided by 8817?\nAnswer: 8812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -36637466 - 598.8?\nAnswer: -36638064.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 251705140?\nAnswer: 251705140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by -11\nAnswer: 141\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1319087672 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4177 + 4198. Let t(r) be the second derivative of r**4\/12 - 17*r**3\/6 - 5*r**2\/2 + r. What is the units digit of t(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1328 and 277518136?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 14. Let z = -8 + y. Let p be -1*(3 + -2) - z. Solve 0 = -i - i - p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559, -558, -557, -556, -555, -554?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4\/4 - r**2\/2 - r - 8. Let k(d) = -4*d**3 - 2*d - 2. Calculate -k(p) + 2*v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 58275*w + 174870 = 0. What is w?\nAnswer: -11658, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -59.7 (b) 0.1 (c) -4 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 1, 2\/3, -0.1, -9 in increasing order.\nAnswer: -9, -0.1, -0.06, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.5 - 58.5. What is the second smallest value in 0.09, u, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(250)\/sqrt(5) + sqrt(54)\/sqrt(3).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bbb3 (base 14) in base 2?\nAnswer: -11010101100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 1\/6 (c) 2 (d) -2\/3 (e) 5.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = -10. Let s(y) be the second derivative of y**4\/12 + 3*y**3\/2 - 7*y**2\/2 - 2*y - 10. Let o be s(m). Sort -2, -4, o in ascending order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*p**2 + 2*p**3 - 3*p + (0*p + 0*p + 2*p)*(2*p**2 + 2 - 2).\nAnswer: 6*p**3 - 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2335476841 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c - 23 + 14*c - 5*c + 23.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 205*i - 392*i + 196*i. Let y(p) = 2*p. Let b(z) = -2*z. Let k(r) = -2*b(r) - 3*y(r). Determine f(k(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417430*p**2 - 257587*p wrt p.\nAnswer: -834860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 21\/7)\/((-2)\/30). Solve -8*h - p = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgjszqzzg. What is prob of sequence qsgj?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(132)\/sqrt(48) + sqrt(11) - sqrt(121)\/(sqrt(11)*1))**2 + (5 + sqrt(220)\/sqrt(5))**2).\nAnswer: -861\/2 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.2. Let b = 25558 - 25556. Let w be (-2)\/4 + 7\/28. What is the nearest to w in b, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:58 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose -3*s - 3 = v, 3*s + 37 = r + s. Let a = 58 - r. Solve -5*q - a = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = -4*b - 8, -2*b - 4 = 4*v. Solve 30 = 3*k + 2*i + i, -k + 5*i - 20 = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 25*b + 189. Let r be t(12). Let s(p) = -p**2 + 33*p + 12. Let j be s(r). Solve 16*i - j*i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(1053)*-1*-1 + 5 - (1 + 2*sqrt(1053)*1)*-1)**2.\nAnswer: 108*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -40. Suppose 3*r - 110 = -m*r. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 18. Suppose -o*a = -4*a + 259. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 16. Let f(v) = v**2 - 7*v + 2. Let c be f(7). Solve -3*w - c - 10 = 4*a, -r*w = 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 796363.\nAnswer: 8759993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - 30)*((-14)\/6 + 0). Let k = 247 - u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 9*o + 1. Let j be n(9). Let k be 11 + -8 - (j + -1). What is the second derivative of 6*f - k*f**5 - f**5 + 12*f**5 wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f)\/(f\/(f**(-3)\/f)))\/(f\/(f*f**(-2)*f))**10 assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -21. Let b = k - -1.2. Let z = -16.9 - b. Round z to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 18*o**3 - 8*o**2 + o - 2 + 7*o**2 - 11*o**3 in the form i + w*o**3 + s*o**2 + u*o and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 19 = 2*l, 3*d = l - 17. Suppose z + 3*z - 8 = 0. Suppose -z*r = l*r - 8, 3*o - 29 = 5*r. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25859803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from fll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**2 - 9*j**2 - 5*j**3 - 6*j**3 + j**3 + j**3 + (-2*j + j + 2*j)*(-2*j**2 + 4*j**2 + 0*j**2) + 4*j**2 - 7*j**3 - 4*j**2.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -1338?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*-1 + sqrt(121) + sqrt(121) - sqrt(121))\/(sqrt(11) + sqrt(22)\/(sqrt(2)*1)))**2 - (-1*(5 + sqrt(11) + 0 + 1))**2.\nAnswer: -47 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1331 + -5?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -40. Which is bigger: 29 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + (-13483)\/44. Let l = v - -306. Sort 0.4, -0.4, l in decreasing order.\nAnswer: 0.4, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + t + 15. Let a be o(0). Suppose 0*c = 5*c - a. Solve c*b = -2*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from fxfflxo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*n, 2*y - 3*y = -5*n + 8. Let t(v) = -v + 1. Let i be t(5). Let m = 2.5 - 2. Which is the third biggest value? (a) n (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*t - 20 = 0, -2*d + t + 5 = -0*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8071)\/2023 + -4 + -16*(-2)\/4. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**5\/20 + q**3\/3 - 8*q - 6. Let p(h) be the first derivative of i(h). Find the second derivative of p(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 5.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*q = -54, -4*q + 69 = -5*a - 12 + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n**2. Let v(i) = 78*i**2. What is v(c(b))?\nAnswer: 52728*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2359, 0, 1, 2 in decreasing order.\nAnswer: 2359, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(432) - sqrt(432) - sqrt(432) - (-2 + (sqrt(432) - (sqrt(432) + -1))))*1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u. What is u rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 349*w + 96349. What is f(-276)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1592381 by -109.\nAnswer: -14609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - m**2 + 4*m - 1. What are the prime factors of x(-4)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/39368 and -39\/133.\nAnswer: 39368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.021 + 0.021. Let w = a + 37.2. Sort 2\/7, 3, 2\/11, w in increasing order.\nAnswer: 2\/11, w, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11712 - 11709. Which is the smallest value? (a) -2\/157 (b) -0.096 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 - w - 6. Calculate the remainder when 93 is divided by s(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*a + 532*a + 684*a = 62641 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.04. Let k = -3.06 + d. Let s = -1049 + 9439\/9. Which is the nearest to 1? (a) s (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 40*u. Factor 44\/3*v**4 + 16\/3*v**2 - 10\/3*v**5 + 0 - 56\/3*v**3 + u*v.\nAnswer: -2*v**2*(v - 2)**2*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -209. Let m be 1 + -2 + 1 + 7. What is the smallest value in q, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 2. Let i(w) = 2 + w**2 + w**2 + 2 - 4. Determine u(i(h)).\nAnswer: -4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -51848978 < -51848999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -32*w**3 - 2*w - 4. Let l(j) = -11*j**3 - j - 1. Calculate 10*l(v) - 3*y(v).\nAnswer: -14*v**3 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(99)*1)\/sqrt(9))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*h + z + 227, 0 = -5*z - 10. Which is bigger: 48 or h?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 11*w**2 - 1582*w - 18865. Give p(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.49 and -1123401.8844?\nAnswer: 1123401.3944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 190600.2ml?\nAnswer: 190.6002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*x + 19. Let u = x - 17. Let c(j) = j**3 + 6*j**2 - 2*j - 2. Let l(o) = o**3 + 7*o**2 - 2*o - 1. Let r(g) = 3*c(g) - 2*l(g). Determine r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4275, -8611, -12945, -17277, -21607, -25935, -30261?\nAnswer: -34585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3112?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 448367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2472\/13184 + ((-170)\/(-50) + -4 - 11746\/(-160)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1485.09352 to 2 dps.\nAnswer: 1485.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 1 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*l**2*o*z**3 + 3*l**2*o*z**2 + 3*l*o*z**3 + l*o + 2*o*z**3 + 9*z**2 wrt z?\nAnswer: 138*l**2*o + 18*l*o + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91542 and 17364072?\nAnswer: 329917368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.09 - -13. Let n = y - -12.09. Let r = 12.12 - n. Which is the third smallest value? (a) 0.4 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 + 10*w**4 + 23*w**3 - 240*w**2 - 576*w.\nAnswer: -w*(w - 8)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.51.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(63)\/sqrt(225) + sqrt(14)\/sqrt(2) + 2.\nAnswer: 2 + 11*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-2\/9))*z**(-2\/37))**(5\/3))**37 assuming z is positive.\nAnswer: z**(280\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 10. Suppose 4*r = 2*v - 12, -r + 12 = -2*v - o*r. Sort -25, v, 1 in increasing order.\nAnswer: -25, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.65 (b) 5 (c) -5 (d) -9 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -675*k + 18220. Give p(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2795968 divided by 2212\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19894 + -19896.2269. Round z to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m. Let i(k) = 22. Let w(z) = -z**2 - 89. Let s(x) = 11*i(x) + 3*w(x). Give a(s(c)).\nAnswer: -39*c**2 - 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -43\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -10 - -2 - (-22 - -27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*u**3 + 3*u**2 - 617*u**3 + 1735*u**3.\nAnswer: -6*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151847979 divided by 5.\nAnswer: 151847979\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.251 and -5.434.\nAnswer: -1.363934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 236 + 88*j**2 + 22*j**2 + 25*j - 116. What is the derivative of k(i) wrt i?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 29*p + 4. Let b(j) = 7*j + 1. Let a(h) = 9*b(h) - 2*l(h). Suppose -3*f + 3 = -4*f. Let y(w) = 6*w + 1. Determine f*y(u) + 4*a(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 155314011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 18. Let b be (-6)\/(72\/20) - 80\/(-48). Calculate o(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a year in months?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/(-44) + 6\/(-33). Suppose -2*y - 6*g + 8 = -2*g, -2 = -2*g. Sort y, -41, a, -5.\nAnswer: -41, -5, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21742.71 times 0.2?\nAnswer: -4348.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 5, o: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**18\/d*d**(-3))**(1\/47))**(-1\/23) assuming d is positive.\nAnswer: d**(-14\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khk when three letters picked without replacement from {h: 4, k: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {r: 1, v: 2, b: 1, l: 1, z: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 12\/152297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*y + 19, -901*y = -897*y - 5*z - 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 12*d + 8. Let l(v) = -3*v**2 + 12*v + 9. Let t(w) = 3*l(w) - 2*x(w). Is t(11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -116, -171, -224?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w. Let d(f) = -5 - 33 - 14 + 3*f + 33. Give x(d(z)).\nAnswer: -21*z + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399984 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 974115726 bigger than 974115726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/264960 and -59\/100578816?\nAnswer: 502894080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319 - -336. Which is the second smallest value? (a) -0.3 (b) -3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 <= 647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 2, h: 1, q: 6}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-5) + (-1578)\/5. Let w = a - -310. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*k - u, -k + u = -13 + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1827 + -1828.786. Let t = -0.214 + y. Which is the smallest value? (a) 0.3 (b) 0.27 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479821.5 times -1?\nAnswer: 2479821.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20820 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from {d: 2, v: 2, t: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 plus 354936?\nAnswer: 354932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15 and -0.0226.\nAnswer: 14.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58164824 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.5 (b) -407 (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 + 44*r + 348. Does 6 divide x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 395439947 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.91 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 806584 and 18?\nAnswer: 7259256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -224362561099452 take away -1?\nAnswer: -224362561099451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = 5, 2*l = 3*t + 39. Suppose 0*o + 4*o = l. Calculate the remainder when 4 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1 + -12 + 11. What is the closest to 1 in 0, t, -2\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 9. Let p be 54\/24 - 1\/4. Solve -b = g + p*t, t = g + 6*t + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582161 - -2370172. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378407735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28 - (12 + -11 - (-6)\/(-2)). Suppose -t*s - 165 = -31*s. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)\/r**(-5\/2)*(r*r**(-7))**(5\/3) assuming r is positive.\nAnswer: r**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (86 + -102).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -66054*x**2. Let g(h) = -15*h**2. Calculate f(g(j)).\nAnswer: -14862150*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235984949 + 1235984949 + 2072*b**3.\nAnswer: 2072*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1072.7973 - 0.3.\nAnswer: -1073.0973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-4)*(5 + -4)*-1. What are the prime factors of (-4 + 7)\/(a\/(-758))?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from aomxmxmooooxa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17001669 is divided by 2125174.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*t - 5562 = -1525*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338349 is divided by 425?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/23418 and 101\/31224?\nAnswer: 93672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 greater than -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 328.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127*b - 141 - 161 + 305)*(0 + 3 - 5) as s + p*b and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i**2 + 10*i + 129. Let h(y) = -15*y**2 - 9*y - 127. Give 10*f(n) + 11*h(n).\nAnswer: -5*n**2 + n - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19157, -19155, -19151, -19145?\nAnswer: -19137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1176, -1173, -1168, -1161?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*o + 1388 = -0*o, -3*d + 678 = 3*o. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-12)*m)\/(((m\/((m**(2\/3)*m)\/m*m))\/m*m)\/m)*m**(-1\/4)*m*m**2*m assuming m is positive.\nAnswer: m**(245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {h: 10, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11180987469282 + -0.05\nAnswer: -11180987469282.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266 or -95?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n + 2. Let o be c(9). Let r be (-56)\/o + 1\/(-2). Suppose -2*x + 18 = -14. Solve d = -4*b + x, -5*b + 2*b + 12 = -r*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -5*b - 56*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140557235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(50) - sqrt(200))\/sqrt(10)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 662*n - 283. Let g(p) = p + 8. Let l(z) = -2*g(z) + w(z). Find the first derivative of l(m) wrt m.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 48 + 27*l + (4 + 2*l - 4)*(-2 + 3 + 0) + 25*l + 35*l - 23*l to t*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 30 = -4*w + 22*u, -4*w + 44 = -4*u for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 36090.\nAnswer: 1948860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yofx when four letters picked without replacement from gfgofqfgfyqqfx?\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 600911 - 3605449\/6. Suppose -235\/6*z**2 - 38\/3*z + 6 - 24*z**3 + 2\/3*z**5 - t*z**4 = 0. Calculate z.\nAnswer: -2, -1, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((4 - -2) + 4 + -4 - 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 29*d - 143. Let w be v(5). Suppose 3*a + h - 128379 = 0, 128379 = 3*a - w*h - 2*h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304825*q = -1304830*q - 2*x - 53, -4*q + 9*x = -318 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 150 = -9*u. Suppose 5*y - u = -m, -4*y + 6 = 10. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let a(n) be the first derivative of 5 + 0*n - 5\/2*n**2 - n**3. Determine a(g(y)).\nAnswer: -12*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 356172c0?\nAnswer: 356172c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - (6 + -2))*6\/4. Let w(b) = 5*b + 2*b - q*b - 5*b. Let p(f) = 11*f. Calculate 2*p(n) + 18*w(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 315\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) -5 (c) 0 (d) -331 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 2*k**2)*(29 - 4*k**2 - 29) + 4*k**2 - 2*k**2 + 2*k**4 + 0*k**4.\nAnswer: -2*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/7 + 502*u**3\/7 + 63997*u**2\/7 + 249996*u\/7 + 248004\/7 = 0. Calculate u.\nAnswer: -249, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-75)\/675)\/((-1)\/(-2) - 0). Which is the nearest to -0.2? (a) 4 (b) -0.1 (c) o (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Let o(l) = 16*l. Let x(b) = 7*b. Let j(g) = 3*o(g) - 7*x(g). Give 6*h(m) + 2*j(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 = 0, 3*c - m = 5*c. Let o be 1\/2*19\/(19\/(-6)). Let x be (-2)\/(-4)*-2*(o + 0). Solve -x*a + 5*v - c = 0, 0*a - 2*v = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let t be p(5). Suppose 0 = -h + 4*h - 15. Suppose 6*j = 3*j - k + 7, -h*j - 5*k + 25 = 0. What is the closest to j in t, -2\/3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - 111402?\nAnswer: -1113a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -56627049 divided by -128991\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in -6, -1\/4, -2\/13, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8 - 245\/(-280).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 46 in descending order.\nAnswer: 46, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8742696 and 163\/120.\nAnswer: 43713480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5725 not equal to -0.1485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16262 and 16.\nAnswer: 130096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/8 + 3093*c**2\/8 + 133320*c + 10921600 = 0.\nAnswer: -160, 3413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 101. Determine a(0).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6929414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0, 2\/9, -4.\nAnswer: -4, 0, 2\/9, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 30\/7 + -1*(-6)\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-387)\/((21\/15)\/1 + -2). Suppose 5*b + j + 1711 = 0, 247 = -b - 3*j - 98. Let d = b + m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 8*l**2 + 17*l**2.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9274944 and 2163?\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2284952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 36 = w. Let u(s) = -s + 12. Let l be u(w). Suppose 2*q = 2*d + 12, 8 = -5*q + l*d + 30. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-321)\/45 - 4\/(-30). Let q(a) = 2*a**2 + 6*a - 19. Let y(g) = -g**2 - 3*g + 8. Let c(s) = -6*q(s) - 15*y(s). What are the prime factors of c(u)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m + 8985 - 12825 = -86*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o - 51*o - 776 = 0. Calculate the remainder when (-124)\/31 + 0 + o is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -99 + 44 + 120*u**3 + 23*u - 2*u**2 + 6. Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*w - 356 + 25 - 47 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 3*y + y**2)*(3 - 13 - 3)*(-2*y + 4 - 4)*(y - 1 + 1).\nAnswer: 26*y**4 + 78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320902?\nAnswer: 2, 281, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 + 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253603.\nAnswer: 7, 36229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 * 0.06.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170\/9, -2\/59, 1.3 in descending order.\nAnswer: 1.3, -2\/59, -170\/9","meta":{"dup_signals":{},"source":"comparison__sort_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: Put -4, -2, -1583945, 5, -5 in ascending order.\nAnswer: -1583945, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 433*i - 140176. Determine n(-216).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -50.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421721 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:29 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 8, -5, -34, -85, -164, -277, -430?\n\"Answer: -k**3 + k**2 + k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(-6*sqrt(832) + -2) - (sqrt(832) + sqrt(832)*5*4 - (-4 + (sqrt(832) + 5 - sqrt(832)))))**2.\nAnswer: 5040*sqrt(13) + 1684849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305 - -678. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0*b + 2. Suppose 2*i = 5*i - 8*i. Factor -2\/9*r**3 - 8\/9*r + 8\/9*r**b + i.\nAnswer: -2*r*(r - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let y(x) = x**3 - 6*x**2 - 21*x + 36. Let v be y(8). Let m(f) = -3*f**2. Let i be 3 + 6\/(-3) + -2. What is i*m(q) + v*r(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = 5*v + 49*v - 180 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-546)\/(-8) - (-8)\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.71 in -2\/7, -1\/11, 0.5, -0.4, 289?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-10)\/4*2. Suppose -34 = -6*f - 10. Solve -4*v + f*c = -28, -c + 21 = 5*v + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -203*w - 1337. What is the hundreds digit of u(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 4*z + 5. Let m be y(-4). Suppose -8*v + m = -7*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -110, -4, 4, 245382?\nAnswer: 245382","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4319*b = -4322*b + 6318. 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: b\"What is the uth term of -60478, -121053, -181722, -242479, -303318, -364233, -425218?\n\"Answer: u**3 - 53*u**2 - 60423*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7197825 times 2\nAnswer: -14395650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 16. Let l be (12\/s)\/(3\/(-4)). Put -0.3, l, 2 in decreasing order.\nAnswer: 2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {c: 1, o: 3, t: 2, j: 4, v: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*x**2 + 18*x**2 + 10*x**2 + (0*x**2 + 2*x**2 - 3*x**2)*(1 - 4 + 2) - 3*x + 3*x - x**2 + (-x + 3*x - 3*x)*(-2*x - 4*x + 4*x) + 2*x - 2*x + 2*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -68*b**2 - 14*b + 23. Let u(w) = -23*w**2 - 5*w + 8. Let k(h) = -6*g(h) + 17*u(h). Let x = 4 - 6. Calculate the remainder when k(x) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 13*w + 2*h - 10747, w + 4*h - 10735 = 0. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -3*(sqrt(10)\/sqrt(2) - sqrt(5)) - (-3 + 1 + sqrt(5) + sqrt(5) - sqrt(5)) - (sqrt(500) - (sqrt(500) + -2 + -1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 0)*(-13 + 16). Let k be -129*(6 - 888\/p). Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1585881\/98 - 16183. Let v = s - -4189\/588. Calculate the common denominator of v and (-4)\/(-7) + (-565)\/168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 0 (c) -4\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/24 and 139\/68068.\nAnswer: 408408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 4*d + 5*d - 16*d - 43*d**2.\nAnswer: -43*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24321*a**5 - 2*a**4 - 205*a**2 + 26?\nAnswer: 1459260*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3452 + 3442)*(12\/10 - (5 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*m + 4*f, 2*m - f = -6*f - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 - 3*m**2 + 2*m - 1. Let o(d) = 5*d**3 - 3*d**2 + 3*d - 1. Suppose -k + 2*k + 5 = 0. Let y(q) = k*o(q) + 6*s(q). Factor y(t).\nAnswer: -(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*u - 50*u + 16*u)*(0 + 5 - 2).\nAnswer: -237*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 66*u + 23. Give b(7).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3372*b - 426. Let p be x(-2). Calculate the highest common divisor of 162 and p.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/(-18))\/((62\/31)\/(-1))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9746*h**2 - 8*h - 14654. Let t(u) = -3249*u**2 + 3*u + 4885. Let m(s) = 8*t(s) + 3*x(s). What is the first derivative of m(b) wrt b?\nAnswer: 6492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -84. Let t = a + -11. Find the first derivative of 5*m - t*m + 2*m + 7 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206848*i**3 + 5*i + 3154 wrt i.\nAnswer: 1241088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191431 is divided by 279.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -71. Let c(a) = a**2 - 10*a - 5. Let n be c(8). Let k(j) = j**3 + 23*j**2 + 42*j + 7. What is the least common multiple of t and k(n)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.215 and 91.\nAnswer: 91.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*u = 36 - 5, -3*s + 15 = -u. Suppose 0 = -m - s*m + 10265. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134142284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 7 + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*m = -2945 + 812 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-143))\/((-125)\/25*(-2)\/(-3355))?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956 (base 13) in base 9?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 4375, 4.\nAnswer: -0.02, 4, 4375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 509625 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-g**3 + 3*g**2 - 3*g**2) + (0*g - g + 4*g)*(-3*g**2 - 2 + 2).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -35 - (-51 - -52)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39155160.\nAnswer: 2, 3, 5, 11, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2936, 6430, 9924?\nAnswer: 13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102) - (sqrt(102) - 1*sqrt(102)) - sqrt(102)))*-6)\/sqrt(6) + -4 + -2*sqrt(68)\/sqrt(4))*4.\nAnswer: -32*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 10*k + 6 = 0. Let o be 2\/(2 - 12\/8). Let f(j) = -j**2 - 24*j + 45. Let c be f(-25). Solve -c = l + 3*l - o*q, -k*q = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 386\/7 (b) 2\/5 (c) 15\/2 (d) -9 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*v - 6*v + 0*v)*(2*v - 3*v + 0*v) + 6*v**2 - 5*v**2 - 4*v**2 in the form d + c*v + z*v**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6243703 by 2.\nAnswer: -6243703\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38643601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -1361, -5.\nAnswer: -1361, -7, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -59. What is the common denominator of -79\/22 and ((-1)\/(-3 + 1))\/((-20)\/s)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*1480\/5476\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/11, 3, 1.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1128 and 75\/752?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424 a factor of 202367640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 161.703*3\nAnswer: 485.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 + -51. Let z = -94.00000047 + b. What is z rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**6\/540 - 7*u**5\/180 + 2*u**4\/9 + u**3\/3 + 32*u**2 + 150. Let l(p) be the third derivative of d(p). Factor l(j).\nAnswer: -2*(j - 1)*(j + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {u: 1, q: 1, s: 1, i: 1, m: 2, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 6*z**2 + 75*z - 109. Let m be d(-7). Solve -5*h + 5*k - 75 = -45, m*k - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-6)\/(-120)*5. Let d(j) be the first derivative of j**3\/3 - 5*j**2\/2 - 5*j + 1. Let v be d(6). What is the third biggest value in v, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 63. Let q be n + -5 + 48\/2. Suppose q = 2*f - 0*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 14*j - 3 = 0. Suppose 5*t + 4*x = -22, -5*t + j*x = 8*x + 25. Suppose -c = -0 + 4. Sort 5, t, -5, c in decreasing order.\nAnswer: 5, t, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v - 2*v**4 - 883486*v**3 - 15*v**2 + 883550*v**3 - v**4 wrt v?\nAnswer: -72*v + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 - b + 5. Let w be g(-5). Calculate the highest common factor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b4b5 (base 13) in base 16?\nAnswer: 619f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(3 - 41\/13) and 2\/10*(-246)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 15*p + 24*p - 7*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.323549 kilometers to millimeters.\nAnswer: 4323549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-19)\/2)\/((-10)\/20). Let m = 22 - o. Suppose m*j - 2*j - k - 28 = 0, -2*k = 2. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242256, 484625, 726998, 969375?\nAnswer: 1211756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156*v**4 - 30 wrt v?\nAnswer: -624*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 11. Suppose -j - 6 = -2*g. Let c = 18 - g. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {r: 1, n: 3, b: 1, u: 1, s: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (525\/1000 - (-2)\/(-4))*-12.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37399, 149531, 336381, 597943, 934211, 1345179, 1830841, 2391191?\n\"Answer: -v**3 + 37365*v**2 + 44*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 363 - 363.2. Let y = 5\/78 - -101\/858. Which is the closest to 1? (a) y (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7159 and -7163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) 3 (c) -4 (d) -0.5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852*l - 448*l - 612*l = -347*l - 71990 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 547512 and 1855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*v = 228*v - 4, 3*v + 13 = q. Calculate the greatest common divisor of q and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 37*v - 39*v, 3*w = 3*v + 519. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 0 + (-5 + 2 + 1)*(2 - 1 - 2))*(-124 + 124 + 8*j).\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 6870*b**2 - 3424299*b - 600318552.\nAnswer: -3*(b - 1213)**2*(b + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -26 + 47*q + 1\/2*q**2 - 34\/3*q**3. Find the first derivative of w(a) wrt a.\nAnswer: -68*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124 less than -82?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 73 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - d - 5. Let o be r(0). Let g be o\/7 - (-4)\/(-14). Let b(w) = 11*w**2 + w + 1. Calculate the remainder when 29 is divided by b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 5. Suppose 3*u + 2 = 23. Let o(q) = -q - 5. Let c(m) = u*d(m) + 6*o(m). Let j(f) = -1. Suppose -5*l = 5*z - 20, -l + 7 = 2. Give z*c(t) - 6*j(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ssnsrnnnnssnsrsnns.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiiiiiikiiiiiiiii. What is prob of picking 1 i and 1 k?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-1)\/2)\/(-2*6\/456).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 + 2*y**2 + 9*y - 53. What is s(4)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let k(o) = o**2 + 4*o + 6. Let t(n) = 1401*n**2 - 8*n - 12. Let m(h) = 2*k(h) + t(h). Calculate r(m(g)).\nAnswer: -2806*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.051 - -0.051. Let m = g - -40.47. Let b = -0.32 - m. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -15. Let q be (-31)\/(-7) - 2 - 2. What is the second biggest value in q, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 10*t**2 - t - 1. Determine w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 17*f + 14*f + 5 = 0, -14 = 5*p - 4*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)*w)**10*(w*w**5\/w)\/w**11 assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5542*u**3 + 2282*u**2 - 3423. Let f(p) = p**3 + 2*p**2 - 3. Determine 3*d(r) - 3423*f(r).\nAnswer: -20049*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2163*q + 2 - 2 - 2614*q to g + o*q and give o.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4800750 and 4671?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*140\/(-560)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557460?\nAnswer: 2, 3, 5, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 9. Suppose -4*p + d = 4. Suppose p*s = 3*s. Is 1\/5 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020110 - 0?\nAnswer: 11020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*o - 22, 21*u + 3*o = 22*u - 21. Solve u*a - 4 = 10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 - (-2 - 0). Let z = -1.6 + 1.46. Let v = z + -0.06. Sort v, -1, f in increasing order.\nAnswer: -1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(272) + 2 + -3*sqrt(272)*2 + 2 - (3 + (sqrt(272) - 4*-1*sqrt(272)) + sqrt(272))*-3)*-1)**2.\nAnswer: 1040*sqrt(17) + 27369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca13 (base 14) in base 5?\nAnswer: -2104110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**4*m + 3*a*m**2 - 2*a + 191*m**2 wrt a.\nAnswer: -20*a**3*m + 3*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 697660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.89\nAnswer: 0.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11269, 10893, 10517?\n\"Answer: -376*b + 11645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 8. Let v be p(-3). Let u = 1 - v. Let o be (70\/u)\/((-4)\/8). Solve f - 6*f - o = -5*m, -4*f - 14 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 45*u**2 + 45*u + 54. Let j be h(-44). Solve -4*r + j = -2*d - 6, d - 27 = -5*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 19*q**7\/105 - 2*q**4\/3 - q**3\/3 + 56*q**2. What is the second derivative of t(i) wrt i?\nAnswer: 456*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 178, -9, -1, -2, 0.4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29636 and 19738532?\nAnswer: 611894492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4410*a**2*p + 295*a**2 + 260*a*p + 1445*a - 2*p wrt a.\nAnswer: 8820*p + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -16567.1990913051.\nAnswer: -16567.2990913051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5459275 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/(-9) + -2)*(-12)\/(-8). What is the third derivative of -399*z + 22*z**r + 3*z**3 + 196*z - z**2 - 4*z**3 + 205*z wrt z?\nAnswer: 528*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3664*a + a**2 + 300 + 3664*a.\nAnswer: a**2 + 300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -15\/19, -6 in descending order.\nAnswer: -2\/13, -15\/19, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -8, 0.06, 19115?\nAnswer: 19115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 29*z - 88. Determine t(27).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**7\/28 - 7*i**6\/30 + 13*i**5\/40 + i**4\/4 + i + 1570. Suppose q(a) = 0. What is a?\nAnswer: -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 12. Determine m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236*c**3*i**2 + 106*c**3*i - 264*c**3 - 116741*c**2*i**2 - 5*c**2*i - c*i**2 - 3*c*i - i wrt i.\nAnswer: 472*c**3 - 233482*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 334 = 3*p - 5*p, p = 5*a - 414. What is the remainder when a is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354769402 + 154\nAnswer: -354769248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147875*k - 5 - 9 + 147874*k + 20 - 6.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 2. Let j be f(4). Let o = -16\/7 + j. Which is the nearest to 2\/3? (a) -3 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*o - 0*o + 3*k, 6 = 2*o + 3*k. Sort 2, o, -10.\nAnswer: -10, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {f: 4, v: 1, b: 2, y: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 + 5*l - 3. Let z be u(-6). Let h be (-1*1)\/(z\/(-18)). Let m = -3 + h. Let w(y) = y + 4. Let v(g) = g + 5. Calculate m*v(p) - 4*w(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:54 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -3489\/168454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y + 1 - 2*y)*(1 - 4 + 2)*(10 + 12 + 2) to b + w*y and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 3*f + 2*f - 1, -f - 3 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 10:01 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216, -4, 0, -1\/3020 in descending order.\nAnswer: 0, -1\/3020, -4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 10510474?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1268?\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 + 354. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 7. Let a be k(-5). Suppose -55*u - 7*u = 248. Put u, a, -3 in ascending order.\nAnswer: u, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6408539.55 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 665 and 0.02.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 749*h - 33 + 31 - 574*h + 974*h in the form r + o*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -15139*a**5\/30 + 4*a**3\/3 + 2*a**2. Let g be s(-6). What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20*v**2 - 13*v - 2. What is the remainder when 1905 is divided by z(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*s, 3*s = -10*b + 4289 - 4370 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (-1 + sqrt(147) + sqrt(147))**2) + -2 + ((-1 + sqrt(147) + sqrt(147))**2 + sqrt(147))*-1.\nAnswer: -1180 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1201204, -1201203, -1201202, -1201201, -1201200?\n\"Answer: l - 1201205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:44 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + -3) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 42633.1 (c) 3 (d) -3\/2 (e) -2\/9 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - -1.9. What is the closest to v in 1, 5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - 1*31\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53199 is divided by 2410.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -16.8. Let y = l + -0.6. What is y rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4688 is divided by 1169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -77 - 36*m - 31 - 4*m**2 + m**2 = 0. Calculate m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 746066 and 5592?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 1. Let c(g) = 114*g**3 + 7*g**2 + 5*g - 7. Let s(m) = 2*c(m) - 14*t(m). Find the second derivative of s(o) wrt o.\nAnswer: 1368*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z - 5. Let m be 69\/(-9) - 2\/(-3). Let d be r(m). Suppose -9 = -5*q + d. What is the remainder when 23 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025500603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56722.32kg in tonnes?\nAnswer: 56.72232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/88)\/(((-16)\/(-6))\/4).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 11*p + 9. Is s(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -61\/2*o**3 + 66*o**2 - 3\/2*o**5 - 16*o**4 + 0 - 18*o = 0?\nAnswer: -6, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/11 + 978*z**2\/11 + 59472*z\/11 + 854560\/11 = 0. Calculate z.\nAnswer: -28, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (7 + -4))*(-5 - 2). Let a(m) = m**3 - 6*m**2 - 6*m - 13. Let k be a(r). What is the units digit of (4 - (-13)\/(-3))*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247194 (base 10) in base 9?\nAnswer: -416070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2339136 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.07 + -7.07. Which is the smallest value? (a) -18 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 48 = 3*l. Is 25 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2299 or -857142\/373?\nAnswer: -2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8\/(-6) - (4 + -5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86550 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o**5)**0\/((o*o\/(o\/(o\/(o*o\/(o\/(o\/(o\/o**(2\/25)))*o)*o)))*o*o**8\/o*o)\/(o*o**(2\/5))**(1\/8)) assuming o is positive.\nAnswer: o**(-1949\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:11 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1)\/3)\/((-1)\/8214)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20199 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -41.74. Let x = b + 0.24. Let v = -38 + 40. What is the nearest to v in x, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*m - 7*x + 26072, 0 = 3*m - 2*x - 15638. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p + j + 48, 4*p - 20 = -4*j. Suppose 0 = 3*r + 10*r - 988. What is the second derivative of 76 + 23*x - p*x**3 - r wrt x?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*107\/(2461\/(-874)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1953*s - 628.\nAnswer: -1953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-14 - (0 - (11 + -5)) - -22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 7:15 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1040 (base 6) to base 13\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 2. Let f be v(5). Let y be (-1)\/2 + 77\/(-22). Let i be (y\/5)\/(10\/(-25)). Solve 0 = -i*n - f - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q, 5*u - 3*u - 3*q = 65. Suppose -9*t = 224 - 71. Let o = t + u. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 12) + 27 + -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4007681?\nAnswer: 23, 163, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c**3 - 7*c + 5. Let y be -1 + (5 - 0)\/5. Suppose y*a = 2*a - 4. What is the tens digit of z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**2 - 2. Let t(m) = -33*m**2. What is t(r(n))?\nAnswer: -5577*n**4 - 1716*n**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -172*-2*1\/(-4). Calculate the remainder when -2 + -1 - s\/2 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - v - 2. Suppose -15*s + 9 = -14*s. What is the remainder when z(-4) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*m**4 + 14*m**3 - 14747*m**2.\nAnswer: 3120*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tddtttjjjds. Give prob of sequence dtd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 0 + 0 + (1*(sqrt(2) + 1) + (sqrt(2) - sqrt(90)\/sqrt(5)))**2)*5.\nAnswer: 15 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 + 219*a**4 - 2172*a**3 + 8016*a**2 - 12768*a + 7440.\nAnswer: -3*(a - 62)*(a - 5)*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/(-12) - 3)*-133. Let o = 44 - k. Let w be (-2 - 2)\/(-3 - -2). Which is the closest to -0.1? (a) -4 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-6)*-3*-3*(-1)\/6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g + 31 - 13 = -121*g for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (7 + 16\/(-2))\/1 - (-17370 + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (570\/475)\/(2\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -39413.\nAnswer: -6\/39413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/70)\/(((-80)\/(-48))\/(2\/(72\/4)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-3 + p**2 - 4*p**2 - 5*p**2).\nAnswer: -8*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 28832 divided by -32\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 503119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 4422\/2221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*q = -2138 - 2272 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + 2*y)*(1 - 1 - 3) + (-1 - 2 + 1)*(2 - 2*y - 2) - 2*y + y - 4*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d004a5 - -9?\nAnswer: 2d004ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46274480 rounded to the nearest ten thousand?\nAnswer: 46270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 3. Let a be m(6). Let v = a + 3. Let t(y) = -2*y + v + 0 + 0. Let g(w) = -2*w**2. What is t(g(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/20*(-1 + (11 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 1 - (1710\/(-42) + (-4)\/14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2508\/2293 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10304 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3806380 = -2*f - 3*f, f - 3806396 = d. Round d to the nearest ten thousand.\nAnswer: -3810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 746 + -745.998172. What is w rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u. Suppose -16 = 5*y + 4. Let i be b(y). Calculate the greatest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -93*i**3 - i**2 - 2*i. Determine f(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/27))\/(g*g*g\/(g*g*(g*g\/g**(-2\/47))\/g*g)*g))\/(g\/(g\/(g\/(g**(-6\/5)\/g)))*g**(1\/20)))**25 assuming g is positive.\nAnswer: g**(-275425\/5076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2) + 464\/96*(-4 + 7)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1262 - -1264. Solve -4*x = w - 20, 5*w + q*x - 28 = -0*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -175, -225, -307, -427, -591?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*m + 180*m - 79*m = 5*x + 43, 0 = -3*x - 64*m - 88 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**2 - 3*l + 9. Let c(w) = -w**2 + w - 2. Let y(g) = -4*c(g) - r(g). Give y(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 2\/29, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 692*u**4 - 3*u**3 + u**2 - 514*u + 20 wrt u.\nAnswer: 8304*u**2 - 18*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 14. Let w = 7 + -3. Suppose 4*a + a = -w*n + 8, -3*a - 10 = -5*n. Calculate the smallest common multiple of i and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -14 - -3 - (-1)\/(-1). Let y be (-1 + m)*9\/(-3). Suppose -g - 4 = -y. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2292*m**3 + 4435*m**2 wrt m.\nAnswer: -13752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/(-2)*(-2 - 0) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-6))\/(6\/(-20)) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 less than -17?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 - 0.41. Let h = 18 - 14. Let z = -3 + h. Which is the closest to 0.1? (a) t (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -0.2, -3\/4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 45*t + 377. List the prime factors of o(6).\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjjj when four letters picked without replacement from jjjjjjjzjjjjj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(-5)\/(70\/(-4)). Suppose -3*o - 7 - 2 = 0, -d*w + 5*o = -19. Differentiate w*g**2 + 8 + g**2 - g**2 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/75)\/(42\/63). Put 1, -102, 3, x in ascending order.\nAnswer: -102, x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 0 - (-5 + 6 + -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360206783 is divided by 2456?\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -2\/3 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, m: 15}. What is prob of picking 4 m?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -1\/336*a**8 + 0*a**6 + a**2 + 0*a**3 + 0*a + 0*a**7 - 73\/60*a**5 - 17\/8*a**4 - 54. Find the second derivative of t(f) wrt f.\nAnswer: -20*f**3 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 21 = -4*m + 4*g, m - 6 = -5*g. What is the smallest common multiple of (-2)\/m - (-284)\/18 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n - 3*g, n - 4*g + 4 = -g. Suppose -5*l - 251*i + 255*i - 8 = 0, -6 = -4*l - 3*i. Which is the closest to l? (a) -0.07 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*-2 + sqrt(102) - -4*(sqrt(102) + sqrt(102)*-2 - sqrt(102) - sqrt(102) - sqrt(102)))\/(-6*sqrt(54) + sqrt(24)*-5).\nAnswer: 13*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -7*j**4\/24 - j**3\/6 + 13*j**2. Let v(g) = -g**2 - 4*g + 2. Let w be v(-4). Give s(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m - 2. Let y be g(-2). Let a(s) = -s**2 + 14*s + 1. Let q be a(10). Let h = 53 - q. Do y and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10690 - 10685. Let l = -5.5 - -5. What is the biggest value in l, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4, 2.59 in descending order.\nAnswer: 2.59, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q**5 - 8*q**5 - 8*q**5 + (4 + 44 + 3)*(-3*q**4 + 5*q**4 - q**4)*(4*q + 0*q - 3*q).\nAnswer: 44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2440791 by -813597.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkk. Give prob of picking 3 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5915 or -5511?\nAnswer: -5915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 509 divided by -142\nAnswer: -509\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 5*f. Let c(r) = -189*r + 189*r - 2*r**3 - f*r**2. Suppose -3*t + 19 = 5*k, 0 = -t - k - 3*k + 18. Give c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -1.50194219016\nAnswer: -25.49805780984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1430?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from aborl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (-156)\/20)\/((-1800)\/80 - -26). Let s = 28 + -48. Let m be 4\/10 - (-18)\/s. Which is the third biggest value? (a) n (b) m (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + (3 - (3 - -1)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.180439 take away -0.5?\nAnswer: 0.319561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 1. Determine m(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p - 150 - 174 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 186900.33 months?\nAnswer: 15.5750275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13) + 1)*5 - (5 + (sqrt(13) - (sqrt(13) + 0)))*5)**2*-3.\nAnswer: -1275 + 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 4*u + 18*u + 2*u. Let d(z) = 2*z. What is s(d(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = r - 4*a, 4*r + 6*a - 2*a - 204 = 0. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -38a0?\nAnswer: 38a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*q. Suppose -3*s + 5*m + 578 = q, -3*s + 4*m + 384 = -s. Suppose -4*b + s = 3*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95bc (base 15) to base 16.\nAnswer: -7bbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -351439a0 - -1?\nAnswer: -3514399b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(26\/10)\/(56\/(-1190)). What is the greatest common factor of q and 468?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0 + 3 + 4*t + 14 - 19 + 1. Suppose -o = 3*o + 20. Let r(s) = 9*s - 1. Let a(v) = o*g(v) + 3*r(v). Differentiate a(q) with respect to q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 x when four letters picked without replacement from xxxxxxxxxxxxwxwwww.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2531 + 53123?\nAnswer: 55654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, -2\/73, 491?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2829 + -2858. Which is the third biggest value? (a) 4 (b) -3 (c) -5 (d) 2 (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*s + 4*s + 83, 3*b - s - 117 = 0. Let k be b\/(-30) - (-56)\/6. Suppose -6*m + 10 = -k*m. Let u(i) = i**2 + 6*i + 6. Give u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 4*o - 159 + 75, 0 = -20*m + 5*o + 105 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/3 - 154*l**2\/3 - 145*l + 906 = 0.\nAnswer: -151, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 12 + 4 + 0 + 0 + 2 + 2 + 0 - 3 - 3 + 3 + 1 + (-1 + 6 - 3)*(2 - 1 + 0))*(2*u - 4*u + 0*u).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from fmmdfwzd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 3766572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) 0.3 (d) 8.56 (e) -11 (f) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.85 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose 3*w - y*l - 7 - 14 = 0, 2*l = -w + 10. Let i = 1699\/7 + -243. Is w < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5.3. Let d = -1 + 4. Let s = j - d. What is the second smallest value in s, -4, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 797.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 5, b: 2, c: 1, e: 2, h: 2}. Give prob of sequence besb.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68)*-1 + 1)**2*2.\nAnswer: -8*sqrt(17) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**3 + 2*y**2 + 5. Suppose 8*t + 0*t + 16 = 0. Let r be (-91)\/(-52) - t\/8. Let z(u) = -r*u**2 - u**3 + 2*u**2 + 0 + 1. Determine v(d) - 6*z(d).\nAnswer: -2*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(360) + 1*sqrt(360)*-3 + sqrt(360))\/(-2*sqrt(10)*-1))\/(3*(sqrt(972) + -4*sqrt(972)*-1 + sqrt(972) - sqrt(972))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**0*s)\/s))**2*(s**(-1\/3))**(2\/15) assuming s is positive.\nAnswer: s**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/13 (b) 87\/2 (c) -81.57 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11012200110?\nAnswer: -11012200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3105 in -15, 0, -2\/13, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 54 = -144. Are -31 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17453, 35426, 53395, 71366, 89345, 107338, 125351?\nAnswer: 143390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 102425.8714 to the nearest 100.\nAnswer: 102400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20511403*q*w**3 + 23*q*w**2 + 27*q*w + 15*q + 3*w**2 - 20*w - 2 wrt w.\nAnswer: 123068418*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -52 * -327.5\nAnswer: 17030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -749 - -502. Let w = -86 - b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 24, 75, 168, 303?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-10836))\/(3\/7).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 15*w - 3. Let t(y) = -582*y + 123. Let u(a) = -117*j(a) - 3*t(a). Determine u(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1636272534 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*o + 9232, 0*p + 5*o = -2*p + 9232. List the prime factors of p.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 12*v - 6*v + 4*v. Let o(d) be the first derivative of 7*d**3\/3 - 247. Calculate f(o(u)).\nAnswer: 91*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:51 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -4*9*(-36)\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/4 - 28*u**3\/3 + 29*u**2\/2 - 49*u - 323. Let n be b(27). Solve 4*s - 16 = -n*z, -3*s + z - 12 = -6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 57041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 2*o**2 + 19 - 67 - 32 in the form c + q*o**2 + x*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**10*k*k**(-1\/29)*k assuming k is positive.\nAnswer: k**(-204\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342 + 371. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(3)) + -3 + -4 + (sqrt(3) - sqrt(3)*1).\nAnswer: -7 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33122332003 - 1?\nAnswer: 33122332002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:33 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 120 = 45*n. Let c be (-2 - -5)\/(0 + 4\/n). Solve 6*o + c = -9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -v - 39 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*(sqrt(76) + (sqrt(76) - (sqrt(76) + (sqrt(76) - 2*sqrt(76) - sqrt(76)))))*-5)\/(sqrt(36)*1 + (sqrt(4) - sqrt(28)\/sqrt(63))).\nAnswer: 360*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/84)\/((-9)\/(-4)))\/(6\/378)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39279 = 22*m - 38751 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -7*o**2\/2 - 15*o - 14. Differentiate m(t) with respect to t.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -0.87. Let y = -1906 - -1921.53. Let r = n - y. Round r to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -430, -433?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 8. Suppose 13*a = 3*a + 160. Suppose a = 2*h - l*c, -2*h - 2 = 2*c + 6. Solve 0 = -h*g - 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 90, 38, -66, -240, -502?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 + 3*a - a**2 - 2*a**2 - 3*a**2 in the form i*a**2 + q*a + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349561.1 rounded to the nearest ten thousand?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.17, 5, -5, -105, 120?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86772040.999949 + -86772084. Let d = r - -43. What is d rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.049195374\nAnswer: 0.0049195374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - a + 885, -f + a = 3*f - 717. Let w = 178 - f. Solve 2*u = 5*p - w*p - 1, -4*u - 10 = -2*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -945, -2128, -3785, -5916?\nAnswer: -8521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21506239 not equal to 21506238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/3 (c) 4 (d) 970 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 + 7*d + 10. Let g be j(-3). Solve -3*l + 5 = t, 4*l + 5*t - g = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -72\/13*p - 648\/13 - 2\/13*p**2 = 0. Calculate p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 6\/1307?\nAnswer: 6\/1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 5, 4, -4, -2, 15 in increasing order.\nAnswer: -6, -4, -2, 0, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dze when three letters picked without replacement from {z: 1, d: 5, e: 3, o: 7}.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -16?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1047501 and 15.\nAnswer: 1047501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 + 21*d**4 - 21*d**4 + (-d**4 - 13*d**3 + 13*d**3)*(34*d + 15*d - 3*d).\nAnswer: -43*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68137 (base 9) to base 10\nAnswer: -45313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2915 and 127\/5830?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*z = 24, 5*z - 1 = 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6878, -2, 3, -24.\nAnswer: -6878, -24, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 127. Suppose -2*i = -4*w - 2, 10*w = i + b*w. Solve 2*f - 2*a = 6, 9*f - i = 4*f + 2*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185433 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -122. Calculate the remainder when 70 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*k = 5137136, -3*k + 8561912 = -5*m - 2*k. Let r = -4187618 + m. What is r rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 712266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 - 8*j - 4. Let h(y) = 7*y**2 + 17*y + 6. Suppose 30*f - 20 = 20*f. Let i(l) = f*h(l) + 5*x(l). What is i(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzznzznz. Give prob of picking 2 z and 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*-3*sqrt(175)*-1 - ((sqrt(175) + -1)*2 + (3*(sqrt(175) + sqrt(175) + 1) - sqrt(175)))).\nAnswer: -65*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 = -5*z + 14, 0 = z - 2*v + 3. What is the highest common divisor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-67 - -49 - (-2 + -6) - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let z(m) = m - 1. Let g(b) = -6*b + 8. Let t(q) = -g(q) - 8*z(q). Calculate i(t(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33387 - -3003?\nAnswer: 3002.66613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25706 is divided by 8469?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 9*j**2 + 18*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14937117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 55 = 61*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (0 - (-10 + 27)) - -11.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-1 + 22 - 1) + 1 - 3 + 0)*(2 - 6 + 2)*(3*z + 0*z**4 - z**4 - 2*z**4).\nAnswer: 228*z**4 - 228*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3366183.987998964 - -3366183.8. Let j = 0.188 + c. What is j rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**5\/20 - 4*x**4\/3 + 4*x**3 + 62*x**2. Let c be b(10). Suppose 3 - 1 = g. Solve 2*m = -0*m + s - 1, -g*s = -2*m + c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/33*-209*141\/230394?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -35*f. Let v(x) = x**2 - 40*x. Give m(v(k)).\nAnswer: -35*k**2 + 1400*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let o(u) = 27*u - 2. Determine 2*d(q) - o(q).\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242800 divided by 8.\nAnswer: 30350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 + 1 - (58 + -60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8398)\/(-1482))\/((-1)\/(-3) - 2).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852.3098 nanoseconds in hours?\nAnswer: 0.0000000005145305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 24197 + 24470 = 4*d, 4*d - 312 = 4*p. Let h(w) = w + 6. Let j be h(-5). Which is the nearest to d? (a) j (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -44*i + 1 + 0*i**3 - 4\/15*i**6 - 2\/21*i**7 + 8\/3*i**4 + 0*i**2 + 4\/5*i**5. Factor d(w).\nAnswer: -4*w**2*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*k**2 + 230*k + 3904.\nAnswer: -(k - 32)*(11*k + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6) - 1) + 2. Let f = 0.2 - -1. Let z = f + -1.4. Which is the nearest to m? (a) -2\/13 (b) -4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -556.7 + 505. Round b to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(1331)*-4)**2.\nAnswer: 21301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8617173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2190288 and 11225226?\nAnswer: 89801808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2231 and -354.\nAnswer: 789774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.8. Let x = 247 - 246.7. Let y = 68 + -477\/7. What is the nearest to p in x, 0.2, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 602, 1199, 1794, 2387, 2978?\n\"Answer: -p**2 + 600*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*i + k, -i + 3*k = 318 - 305 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*a**2*o**4 + 5*a**2*o**3 + 3482*a**2*o**2 - 3*o**4 wrt o?\nAnswer: 2064*a**2*o + 30*a**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/733 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*w - 2509553 + 2527388 = 0 for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 6786433\nAnswer: -9\/6786433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 336 = -4*s, 0 = 2*s + 5*o - 153. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12212300311 + 3?\nAnswer: -12212300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -15. Let h be (-24)\/(-32) - (-95997)\/c. Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/13 (b) 2\/11 (c) -36.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, 9, -39 in increasing order.\nAnswer: -287, -39, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(1\/3))\/y))**(-45))**(6\/5) assuming y is positive.\nAnswer: y**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 92. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015426528 rounded to 6 decimal places?\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(112)\/sqrt(4))\/((sqrt(336)\/sqrt(7))\/sqrt(12)) + (-6*1*sqrt(7) - (sqrt(63) + -3))*5)**2.\nAnswer: -1170*sqrt(7) + 10872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = -4*v + 5, -3*f = 15. Suppose -2*z + 0*z = 3*n - 31, -2*n - v*z = -28. Calculate the remainder when 15 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - y = -29, -29*r + 34193 = 5*y + 34440 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*q = -4*s + 28, 5*q = 0. Suppose -2*b + 15 = b + 3*g, 0 = -2*b + g + s. Suppose -4 = -i - 5*k, -4 = -4*i + b*k + 12. Solve 4*a + 0 + i = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g + 3*c + 13 = 0, 10 = 2*g + 2*c. Calculate the remainder when (181\/g)\/(55\/(-20) - -3) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*d = 16, -4*d + 16 = 2*r - 0*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149\/8 - -1275\/56. What is the common denominator of -13*(-3)\/18*2 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*d + 162 = -112 - 342. What is the highest common divisor of d and 1094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.04. Let p = l - -0.02. Which is the closest to 1? (a) 1 (b) p (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505185?\nAnswer: 5, 11, 27367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-15)\/(-10))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12107 divided by 9785\nAnswer: 12107\/9785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 6*w**5 - 13*w**5 + (-10*w**2 + w**2 + 2*w**2)*(-4*w + 3*w + 6*w)*(4*w**2 - 4*w**2 - 2*w**2).\nAnswer: 48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**2\/2 + 6786*n + 7674966 = 0.\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1*(630\/200)\/21.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/19 (b) 18 (c) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + -176. What are the prime factors of (-9)\/((-3)\/1) - (o - -10)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + 19 + 5*b - 2*b - 17. Let h(g) = 9 + 6 + 14*g + 6*g. Let j(k) = 2*h(k) - 15*s(k). Let m(i) = -2*i. Calculate j(m(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 + 3*w - 2. Let y = -45 + 47. Let j be l(y). Solve 11 = -3*h - 2*x, j*h + 3*x = -5 - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -54, 4, -1\/4, -2\/17, -4328?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 570, 1503, 3214, 5961?\nAnswer: 10002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -588 + 779. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5153, 10304, 15455, 20606, 25757, 30908?\n\"Answer: 5151*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4327 (base 8) to base 12\nAnswer: -1387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -3. Let u be 16\/(0 + 2\/1). Let i = u + d. Solve -i*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 - 6*w**2 - 14*w - 25. Let a(g) be the second derivative of g**5\/20 + g**4\/12 - 2*g**2 + 237*g. Let f(r) = 5*a(r) - n(r). Calculate f(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y. Let c(x) be the second derivative of -25*x**3\/6 - 765*x. Give 5*c(n) - 4*g(n).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 430*l*z**4 - 7*l*z**2 + 8*l + z**2 wrt z.\nAnswer: 10320*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7023580*f*v - f + 4326502*v wrt f?\nAnswer: 7023580*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17127 is divided by 119?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9710 - -9790. Calculate the remainder when 1028 is divided by q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7471583m to millimeters.\nAnswer: 747.1583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 93. Determine t(-7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96804.\nAnswer: 2, 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005809184 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 125297, 125681, 126065?\n\"Answer: 384*a + 124913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 816 = -6105. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000010100 (base 2) to base 14.\nAnswer: 1c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*i = 14 - 6, -3*m + i = -15. Let f be m\/(192\/54)*(-2)\/(-3). Let w = 1 + -2. Which is the second biggest value? (a) f (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 - 2)*(-2*y - 3*y + 4*y + (5 - 5 - 3)*(-2*y + 1 - 1)).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/2*12\/(-6). Let g be k\/(-8) - (-1)\/(-4). Suppose 0 = -5*u + g*u + 110. What is the greatest common divisor of 22 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110142302 (base 5) in base 15?\nAnswer: 32e552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**4*j*j)\/j)\/j*j**(4\/5)\/j)**(-15) assuming j is positive.\nAnswer: j**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27))\/((-3164)\/112 - (-1 - 27))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*o*o**11*(o**(-2))**(-46))**(2\/97) assuming o is positive.\nAnswer: o**(209\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 29 = -59 + 8 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 187934 divided by -4\nAnswer: -93967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + 7 + (-10 + 11 - 24)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -869, -880, -905, -950, -1021, -1124, -1265?\n\"Answer: -t**3 - t**2 - t - 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose -v + 6 + 91 = r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.6797 milligrams in kilograms?\nAnswer: 0.0001516797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose -j*a + 8 = a. Suppose -r + 2*r = -1, -a*v + 3*r = -59. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11584 times 0.02\nAnswer: 231.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893125537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -34, 4, 5 in ascending order.\nAnswer: -34, -0.4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-680)\/(-102)*135\/1350?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 552 = -42*a + a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + n - 1. Let u = 407 - 408. Suppose -2*p - 4*i + 12 = -p, 6 = 2*p - i. Let q(v) = -6*v + 6*v**2 + 0*v + p*v + 4. Calculate u*q(c) - 4*b(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 44913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-9)\/6. Let i(r) = -4*r**2 - 1 + 2*r**2 - 2*r**2. Calculate i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, d: 4}. Give prob of sequence ddd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2054 divided by 6.\nAnswer: 1027\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Let c(s) = -46*s + 6. Let v be c(-5). Let x = v - 3066\/13. What is the nearest to -1 in -1\/9, x, h?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (-2*sqrt(88)*-3 + sqrt(88))) + sqrt(88))\/sqrt(8).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 305.238 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 829089, 829119, 829149?\n\"Answer: 30*o + 829059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312362 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let y(p) = 43*p**2 - p + 1. Let b(r) = -251*r**2 + 13*r - 10. Let t(i) = b(i) + 6*y(i). Give t(s(q)).\nAnswer: 28*q**2 - 14*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**0)\/w*w)\/((w**2*w)\/w))**(-13) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47866 and 166030059.\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5416a8 (base 12) in base 5?\nAnswer: -320023244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-20))\/(6\/8). Let x = 1850 - 1850.2814. Let v = -0.0186 + x. Which is the third biggest value? (a) v (b) k (c) 0 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-67 + 71 + 38 + 1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286*u + 4 = 290*u. Let n(f) = 39*f**3 + f. Calculate n(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 = 52. Suppose 15 = -5*w, 3*z + 4*w + 48 = 5*z. Suppose 3*t = -z + 42. Calculate the greatest common factor of n and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/(-57))\/((-2)\/6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/6)\/(-3*90\/405)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25810177?\nAnswer: 25810177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2344 - 1784. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807*i + 802*i - 2*f + 319 = 0, 0 = -2*i + 3*f + 139. Calculate the remainder when 4872 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -4.893 (c) -1\/2 (d) 3\/4 (e) -5 (f) 2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2793*g + 853*g - 970*g to the form d*g + f and give d.\nAnswer: -2910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*r = -44, -3*r + 1 = -5. Let g = -16\/215 + 2338\/215. What is the common denominator of (34\/(-15))\/((-6)\/i) and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272208.89 + 272209. Let i = 5.7 + -6. Let d = i - -0.1. What is the closest to -1 in d, q, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293 and 37429578.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*l - 8. Let c = l - 5. Find the third derivative of -3*h**3 - 2*h**2 + 3*h**c - 2*h**3 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*-1*3\/(-21)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Let p = -1.85 - -1.55. Which is the biggest value? (a) 0.5 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*6 + 4)**2 - ((1 + sqrt(11))*1 - (2*sqrt(88))\/sqrt(8)).\nAnswer: 145*sqrt(11) + 3579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1211*b**4 - 1706 with respect to b.\nAnswer: 4844*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83884763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37290 divided by 7458.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -4982.\nAnswer: 4982.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5259077.\nAnswer: 103, 51059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006703901933 to seven decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7546181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.4 (c) 2\/21 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 6. Let s be n(4). Let q(d) = 7*d + 17. Let r be q(s). Suppose 0 = -g + r - 20. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 37091?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5130 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*s**3 + (-5*s - 2*s + 4*s)*(-3*s + 4*s + s + 10*s**2).\nAnswer: -28*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 7. Let t be (-8)\/((-8)\/((-8)\/2)). Let q be a(t). Find the second derivative of 8*f - 7*f - f**q + 2*f**3 - 4*f**3 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:36 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.11 (c) -4\/37 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -7, -0.07, 0.2, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*k + 97*k - 46*k)*(-1 + 0 + 3)*(636*k + 87*k - 142*k).\nAnswer: 9296*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -2 - (-8 - 4\/(-4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**3 - 8*p**2 - 6*p. Let q(m) = -11*m - 8564936 + 8564936 - 15*m**2 + 25*m**3. What is -6*q(c) + 11*w(c)?\nAnswer: -18*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255\/19 + -746\/57. Let s(f) be the first derivative of -14 + 4*f - k*f**3 - f**2. Determine s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1271488 and 797.\nAnswer: 1272285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2, 10, 4\/7 in decreasing order.\nAnswer: 10, 2, 4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2618374 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 25*w**2 + 35*w + 15.\nAnswer: 5*(w + 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, 17, 1\/5 in increasing order.\nAnswer: -5, 1\/5, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and ((-12)\/20)\/(2\/(-20))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00308626 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 2*s - 10. Let o(j) = -5*j - 22*j**2 - 23*j**2 - 5 - 27*j**2 + 98*j**2 - 25*j**2. Does 3 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (191 - 180) + 21*1. Solve 0 = -x*a + 8*a - 144 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 82.66322.\nAnswer: 82.26322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 27 (b) -5 (c) 34268 (d) 0 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 78 = -11*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*q = 50, 4*n + 3*q - 33 = 4*q. Suppose 2*l = -3*t + 9, 3*t - t - 3*l + n = 0. Let x(p) = 11*p**3 - 2*p**2 + 2*p - 1. Determine x(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 219025, 218999, 218973?\n\"Answer: -26*x + 219051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10935 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 333, 269, 99, -231, -775?\n\"Answer: -9*o**3 + o**2 - 4*o + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1262507*h + 5029659 with respect to h.\nAnswer: -1262507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -253\/426 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - 89) - (15037 + -15022)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5860 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23 - 9)*(-30)\/(-4). Let r = q - 62. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4695 = -8*w + 4775. Solve 7*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) -0.4 (d) -2.7 (e) -3\/7 (f) 1\/3 (g) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 67 - 171*v + 52)*(8 + 1 - 1).\nAnswer: -1368*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 189246, 189247, 189248, 189249, 189250?\n\"Answer: j + 189245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 4. Let v = 71 + -50. Let p be v\/4 - m\/(-4). Solve -p = -4*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (2 + -17 - -21) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - b + 4*b)*(-80944 - 3269 - 67885 - 44604 - 41310 + 34019) as x + u*b and give u.\nAnswer: -203993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3333?\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and -62\/1325.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -7. Let r be v\/(30\/4*-1). Suppose -2*g - 5 = -1. Is g less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 737051 and 54173.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(4650\/(-20))\/31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:22 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**3 - 59*l**2 + 3*l - 401 wrt l.\nAnswer: 36*l - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6900 divided by -100\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 25*m - 4*m - 12 + m. Let l be y(10). Solve 0*t - 3*f = 3*t, f = -3*t + l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/14*192296\/22188?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14164363 and 1982.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1039628 by 36.\nAnswer: -259907\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 0.2, 47601 in decreasing order.\nAnswer: 47601, 0.2, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 10*i - 12. Let v be c(-8). Suppose 5*b = -3*p - 19, v - 16 = 2*b - p. Is b*((-4)\/10 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9c042 (base 14) in base 7?\nAnswer: -104335112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 44. Let w(f) = -46. Let r(s) = 4*m(s) - 3*w(s). Let o be r(10). Solve 2*t = 0, -2*t + 20 = -2*d - o*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 - q**3 + 4*q**3)*(-2*q + 2 - 2) - 2*q**4 - 6*q**4 - 2*q**4 - 2*q**4 - 3*q**2 + 3*q**2.\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4441392 divided by 7152\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000158513132 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let 6 + 6*x**2 - 14 + 8*x**y - 6*x**3 = 0. What is x?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -58\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 8*t**2 + 8*t + 8. Let h be y(7). Calculate the lowest common multiple of 10 and (h\/(-6))\/(1\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 - 4 - 1 + 18*p**2 wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 267989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + -0.31. Let r = -76 - -79. What is the closest to u in r, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20959462425 - 5.\nAnswer: -20959462430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p = -39*p - 90. Let x(g) = -g + 1. Determine x(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose -3*t = -a*t. Suppose -3*p = 4*g - 12003, -3*g + 2*p - 3*p + 9001 = t. What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422448006, -844896013, -1267344020, -1689792027, -2112240034?\nAnswer: -2534688041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514934811 + 514934806 - 1029869617 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -2*m - 2*r, -m - 5*r - 43 = -187. Suppose -g - 2*a + m = 0, 4*g - 2*a - 2*a = 668. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-84)\/(-15))\/2. Suppose 6*u + o = 4*u + k, 4*o = -u. What is the least common multiple of 1 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 50. Let h be (-6)\/(-27)*21 - r. Find p such that 7\/2*p**2 + h + 1\/3*p**3 - 7\/6*p**4 - 10\/3*p = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3 + 1924*g**2 + 460792*g - 929296 = 0.\nAnswer: -482, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m + 8. Let n(o) = -12*o. Let p(q) = -14*q + 1. Let s(l) = 4*n(l) - 3*p(l). Calculate 11*s(d) + 4*y(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.4163293 take away 5?\nAnswer: -59.4163293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z - 38*z - 44*z - 54 + 38.\nAnswer: -130*z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + 1 + 8\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b + 19. Let a(n) = n**3 + 21*n**2 - 21*n + 29. Let v be a(-22). What is the tens digit of z(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3011208*k - 9706 = -3011419*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6270 + -2526. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 508*x + 509.\nAnswer: -(x - 509)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/2 - 4635*l\/2 - 2317 = 0 for l.\nAnswer: -4634, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -7*v + 4*v - n, -3*v = -n - 37. Suppose -v*b + 368 + 1557 = 0. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 9*h - 21. Let a be u(9). Let b = 253\/12 + a. Is b != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m - 16. Let z be 6\/(1 - (-15)\/(-6)). Let d = -8 - z. Which is the closest to 1? (a) d (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 565.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -194062? (a) -2\/7 (b) 1\/10 (c) 1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 90*b + 504. Let a be l(13). Calculate the highest common factor of 930 and a.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from llxicxllcclxcl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1) + (-13 + (-11 - 8) - (-7 + 0))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42582893669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r*w*x**4 - r*x**2 + 4*r*x + 2*r + 3*w*x - 2*x**4 wrt x.\nAnswer: 24*r*w*x**2 - 2*r - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h + 35 = 2*u - 1062, -u = 4*h - 3*u + 60 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.3 + -13. Let v = j - 1.8. Which is the second biggest value? (a) -1 (b) v (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -842*d**4 + d + 545*d**4 - 5 + 9 - d**2 - 5 as i*d + a + k*d**2 + y*d**4 + m*d**3 and give y.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-958)\/4311)\/(8\/612)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -149. Let a = 46 + w. Sort 0.2, a, 5, 3.\nAnswer: a, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 34 = 157*t - 159*t, 0 = -2*t - 4*o - 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22321 and 63869?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 707 + -706.4. Sort s, 1, 0.4 in decreasing order.\nAnswer: 1, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 169*d**2 - 91*d + 404. Calculate b(84).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (318\/(-8))\/(-1) - (-9)\/6. Let g = 41 - r. Which is the third smallest value? (a) g (b) 2 (c) 0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 4*z + a - 7, 2*z - 4*a = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let z = n - -0.24. Let g = z - 0.04. Which is the closest to -2\/5? (a) 0.4 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -129*x**2\/2 - 822. Let s(b) = b. What is o(s(j))?\nAnswer: -129*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -5*v + 2*q, -3*v + 2*q = -1641 + 1510 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 2)*(8 + 4 - 44)*((-2 + 2 + 1)*(2*o + 0*o - 3*o) - 5*o - 12 + 12) as i*o + a and give i.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (636\/18 + 2)*(20 + -2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*r - 14\/5*r**3 + 0 - 2\/5*r**4 - 6*r**2.\nAnswer: -2*r*(r + 1)*(r + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {s: 3, b: 2, x: 1, h: 9, d: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.315*10.58925\nAnswer: 3.33561375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430.249 millennia in years?\nAnswer: 6430249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 552\/(-1012) - (-4)\/(88\/(-98)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24500 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 5603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 5. Let b = 7 - 4. Let w(f) be the second derivative of -f**4\/2 - 13*f**2 + f. What is b*w(y) + 16*x(y)?\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/(6*(-2)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018937823 to 7 dps.\nAnswer: -0.0018938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-32)*q)))\/q)\/(q*q\/(((q*q**(-1\/2)\/q)\/q)\/q)*q*q*q*q) assuming q is positive.\nAnswer: q**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, -5*z - 33*w = -30*w. Suppose z = -4*r - 3*r + 15701. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 19*l + 37. Let x(d) = 3*d**2 - 39*d + 73. Let t(i) = -5*c(i) + 3*x(i). List the prime factors of t(-21).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/32448 and 125\/3042.\nAnswer: 97344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*h - 15*h + 45*h)*(-2*h**2 + 0*h**2 - h**2 + 3)*(2 - 2*h - 2) as i + d*h**4 + q*h + u*h**2 + n*h**3 and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8827, 1, -7 in descending order.\nAnswer: 1, -7, -8827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 + 22)*4\/16)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -283, -974, -2315, -4522?\n\"Answer: -36*j**3 - j**2 - 2*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = q, -5*h = -q + 5 - 0. Let j(r) = 0 - r + 6*r**2 + q*r + 1 - r**3 + 0. Give j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -293885.\nAnswer: -62\/293885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12095069 and 379463?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18718 divided by 3.\nAnswer: 18718\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*-1*9\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 0 - (-13 + 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 24*f + 40. Let z(v) = 5*v + 8. Let n(h) = 3*s(h) - 14*z(h). Let x(l) = -2*l - 8. Let i(a) = 4*n(a) + 5*x(a). Find the first derivative of i(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16005 - 14940. Calculate the greatest common factor of k and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 60 + 6 = 2*w, 6 = -m + 4*w. Round m to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (sqrt(1100) + -2)*-1 + -4 - (1*2*(-2 + sqrt(1100)))**2)*-5*5.\nAnswer: -4000*sqrt(11) + 110450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avcvvapvppa. Give prob of picking 1 v and 3 a.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 22*h**2 - 151*h - 373. What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -324193\/59 + 5495. Calculate the common denominator of a and 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-3)*-8*123\/(-328).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 1080\/(-45) + -24?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2271 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4820 and 269601880?\nAnswer: 269601880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 9*d**2 - 5*d - 8. Is x(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(63)\/(1*sqrt(1296) - sqrt(9)).\nAnswer: -6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6. Suppose 3*f - 3 = -6. Let y = f + 7. Solve j*d = d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 80612?\nAnswer: -80620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -65*z**2 - 25*z. Let b(w) = -10*w**2 + w - 2. Let f(y) = 11*y**2 - 3*y + 3. Let d(n) = 3*b(n) + 2*f(n). What is -50*d(p) + 6*h(p)?\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -760*x**2 - 137*x + 571. Let r be k(4). Round r to the nearest one hundred.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozy when three letters picked without replacement from {v: 1, z: 5, o: 1, y: 4, w: 3}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -66*a**3 - 18*a**2 - 16*a + 34. Calculate q(1).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(3 + 2 - 3) + 0 - 4 + 5 + (-3 - 4 + 1)*(-49 + 24 + 10))*(0*u**2 - 3*u**2 + 2*u**2).\nAnswer: -95*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/6*-1 + (-338)\/780 and -73\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 + 56?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -266.\nAnswer: 1\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 2, 650?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13593737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 35. Let k be 20\/(-6)*(-41 - -2)\/(-13). Let x be 6\/l - (-12)\/k. Which is the second smallest value? (a) x (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/63?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-6) + (-40)\/(-15). Is -401 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250739683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*p - 17 = -3*h + 369*p, -p - 9 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/180 - x**4\/9 + 2*x**3\/3 + 353*x**2 + 5. Factor t(b).\nAnswer: (b - 6)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 114413?\nAnswer: 114412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 15. Suppose 15 = -2*k + 83. Suppose -k = -r - 46. Is b less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 0.07031, -0.04 in ascending order.\nAnswer: -0.04, 0.07031, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-4)\/(-12)*(-18)\/(-3)). Suppose 2*z + 4*n - 16 = a, z + 3*n + 38 = 47. Solve -4*g + z = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 31 = 5*n. Let w be (n\/25)\/(4\/5). Which is the nearest to 1? (a) 1\/3 (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 698?\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (55\/(-22))\/((-20)\/(-16)). Let g(d) = -d - 5. Let s(k) be the second derivative of -k**3\/6 - 2*k**2 + 3*k. What is i*g(a) + 3*s(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -117*h**4 + 23*h**2 + 8*h**3 - 17*h**2 + 120*h**4 + h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -27, -111, -271, -531, -915, -1447?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 1\/2, 8, -2\/27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*b = -4*b + 3, 0 = -2*b. Suppose -x = j - 4. Solve -y = -1 - j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11290*c = 11084*c + 10506 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*i + 7, -11 = -3*i - i - q. Calculate the greatest common factor of i and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((0 - 0) + 29 + -34 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 773809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 10. Let g be j(-2). Let q = 24 + -21. Solve -5*w = -4*z - 1, 0 = q*w + g*z + 3*z + 29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 - 227 = 11*i. Let w = 538 - i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -135. Calculate the remainder when 262 is divided by b + (-1 - 2) + 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470\/(-5850) + 6\/27.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 + 0.43. Let r = 0.3 - m. Let d = r + 0.050075. Round d to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**5*z - 8*o**3*z**3 + 321*o*z - 2*z**3 wrt o?\nAnswer: 200*o**3*z - 48*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 - (-2)\/(-2)). Let u be 23 + 3\/(-6)*v. Suppose -2*a + 40 = 3*a. Calculate the greatest common factor of a and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326615 to the power of 1\/2, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1501 or -1503?\nAnswer: -1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71250823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308 by 4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p - 106 + 65 = 424 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 2. Let y(d) = 5*d**2 + 8*d. Let l(c) = -6*p(c) + y(c). What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -236, 0, 14, 1 in descending order.\nAnswer: 14, 4, 1, 0, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 82. Let w be ((-30)\/20)\/(6\/(-8)) + m. Suppose 0 = -2*s - s + 9. Solve -s = -v + w*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*m - 50*m + 225357*m**2.\nAnswer: 225357*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 + 117*v - 29*v - 48*v - 41*v.\nAnswer: -v + 231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405)*-4.\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.193 and 2.7?\nAnswer: -0.5211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 13 - 18 - 8*z + 0 - 2*z + 0 - 2 + 2 + z + (0 - 3 + 1)*(-2*z + 0*z + 3*z) - z - 2*z + z.\nAnswer: -13*z + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 50 = q. Suppose 11 = 4*o - q. Calculate the remainder when 34 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50315 + -50322.99904. Let j = 8 + n. Round j to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 1508140*q + 51281384 = 0 for q.\nAnswer: -34, 377069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/6*9\/(-6). Calculate the common denominator of (-540)\/(-132) - o\/(-22) and 29\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 792722 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-37)\/(-8) + (2001\/(-232))\/(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 2 - 2 + (7*z + 33*z - 16*z)*(0 - z + 0)*(24 - 24 - 2*z**2).\nAnswer: 46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*k**6 - 2103*k**4 + k**3 + 2*k**2 + 811961?\nAnswer: 1800*k**3 - 50472*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8523940 and -67\/4?\nAnswer: 8523940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 272913511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1013154 and 43\/1350872.\nAnswer: 4052616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2b9b2a (base 14) to base 6\nAnswer: 52404414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-109)\/(-545))\/(-11*(-1 - (2 + -4))).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -3*h + 13, -3*h + 12 = 0. Let t be c + 7 - ((-6)\/(-3) - 0). Let w be t*((-12)\/28)\/(2\/(-7)). Solve 5*a - 6 - w = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 2*b + 4. Let l(f) = 7*f**3 - 2*f**2 - 2*f + 1. Let u be l(2). What is the remainder when g(-3) is divided by (-4)\/(-18) - (-170)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 11510 - 7601 - 3904 + k**2.\nAnswer: -4*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-24)*-4*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -1*1703\/247?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 15 + 9 - 37*l in the form p + d*l and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1992.7639659 + -1992.674. Let a = 0.09 - n. Round a to 6 dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 4*f + 159. What is the units digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckxfckxxkkf. Give prob of picking 1 k and 2 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -441.\nAnswer: 5\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85523, 85502, 85481, 85460, 85439?\nAnswer: 85418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5733 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.517, 17, 0 in descending order.\nAnswer: 17, 1.517, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(-29)*l)*l)\/l)\/((l**3\/l)\/l*l*l))\/(((l\/l**(2\/19))\/l)\/l**12))**(-8\/5) assuming l is positive.\nAnswer: l**(-5792\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 2\/5 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5281305 and 986?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247*d**3*i**2 - 70*d**3 - 7*d**2*i**2 - 3640*d**2*i - 38*i**2 wrt i?\nAnswer: -494*d**3 - 14*d**2 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -2620.909.\nAnswer: -2628.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9072 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38, 26, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, b: 8, e: 1, p: 3, g: 1}. Give prob of sequence ep.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -1779.688751.\nAnswer: -1779.788751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36018312 divided by 264\nAnswer: -136433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb9 + 25858?\nAnswer: 2485b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151065036 to three decimal places.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1889535 and 1515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 371, 562, 769, 998?\n\"Answer: i**3 - i**2 + 177*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3 - 79344*k**2 + 194*k - 21807009?\nAnswer: -6*k**2 - 158688*k + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 - -6.5. Let y = 2.2 + g. Suppose 5*f + m - 14 = 0, 5*m - 14 = f + m. Which is the smallest value? (a) f (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*w + 125*w + 348*w.\nAnswer: -78*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/1 + (52 - 21)\/31*-1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 265 and -0.2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:25 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 16*z**2 - 13*z - 7. Let q be l(10). Let f = q + -4171\/9. What is the common denominator of f and -36\/49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 14. Let z = 47 + -44. Suppose -5*m = -3*t - z, 8*t - 3*t + m - 23 = 0. Solve -5*a - t*r + 5 = -20, a = 2*r - d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128702 divided by 3.\nAnswer: -128702\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24324 times 0.07?\nAnswer: -1702.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1913 - -1913. Which is the biggest value? (a) 0.2 (b) l (c) 4 (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h - 6. Let c be f(-5). Suppose 0 = -4*k - 3 - c. Let p = 4 + k. What is the greatest common divisor of 11 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 3488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - (2 + 19 + (-18 + 15 - 2)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h**2 - h - 1. Let l(b) = -8*b**3 + 41*b**2 + 5*b + 5. Let s(m) = l(m) + 5*t(m). Factor s(u).\nAnswer: -3*u**2*(u - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o - 3*o)*(0 + 1 + 3 + (-1 - 2 + 5)*(-12 - 4 + 2) + 1 - 6 - 2).\nAnswer: 62*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 + 45 = 5*q. Which is smaller: q or -110?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 46*l + 8171 = -45*l, 2*n + 2*l - 5454 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/360 - 7*g**4\/72 + 7*g**2 + 5. Factor p(h).\nAnswer: -h*(h + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49787, 99556, 149325, 199094?\nAnswer: 248863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)\/(1\/(-4)). Suppose 3*t - 14 = g*c + 14, -3*t - 5*c + 19 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*b*m - 4*a*b + 42*a*m - 3*a + 28*b*m - 2*b - 9*m + 2 wrt a?\nAnswer: 2*b*m - 4*b + 42*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:02 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8033 + 29720?\nAnswer: 21698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -2078827?\nAnswer: -2078817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {t: 6, s: 7, a: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2070, 4145, 6218, 8289, 10358?\nAnswer: 12425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/74567, -0.5, -2\/5?\nAnswer: -2\/74567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, 2, -97 in ascending order.\nAnswer: -97, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2008, -2009, -2010, -2011, -2012?\n\"Answer: -r - 2007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3) + 66\/(-9). What is the second biggest value in y, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -71?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**5\/60 - v**4\/2 + v**3\/3 - v**2. Let w be l(-12). Suppose w*t + 2*c = 17 + 3, 0 = 3*t + 5*c - 30. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42901, 86193, 129485, 172777?\nAnswer: 216069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 49885925 divided by -105023\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 - ((8 - 9) + -6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s + 5. Let k(q) be the first derivative of q**2\/2 - q + 2. Give h(x) + 4*k(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 0.5. Which is the nearest to y? (a) -0.2 (b) 0.3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = 4. Let c = -2 - d. Suppose -k = 4*r + 67 - 214, -2*k = c*r - 270. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:21 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 714 - 791.4. What is w rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l - 142. Let j be p(19). Let k(v) = -2*v**2 + 4*v. Let f(q) = 91 - 91 - 4*q**2 + 9*q. Calculate j*k(a) + 4*f(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -120, 6, -2, -113, 1.\nAnswer: -120, -113, -5, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j**(-1)))**(9\/8))**(-46))**33 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, -30, -4, -3 in decreasing order.\nAnswer: 3, 2, -3, -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17415 = 92*d - 332799 - 163422. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 4)\/(1\/(-7)). Suppose 2*y - 5*l - 176 - 409 = 0, -5*y - l + 1395 = 0. Calculate the greatest common divisor of y and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.5 + 44. Let p = -2.500016 - h. Round p to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 0, 228*o - 224*o - 28 = -4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*p - 14 = 3, -5*n = -p - 35. Suppose j = n - 5. What is the third derivative of -12*z**3 - 15*z**2 - 7*z**3 - 3*z**j wrt z?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*p + 10, 0 = x - 3*p - 17. Let f = -3 - -16\/3. Is x greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 0.2, -2, 256011, 1 in descending order.\nAnswer: 256011, 1, 0.2, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - b - 2, x + 9 = 2*b + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/352471 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (132 - (-35 + 108)) + (0 - 13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 72*q**2 - 3*q + 2. Let y be x(1). Let o = 5 + y. What is the tens digit of ((-3)\/2)\/((-3)\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 = 176*i + 176 + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 6:53 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 816361 - 14282*h**2 + 816361.\nAnswer: 9*h**3 - 14282*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -227\/2. What is r in 0 + 9\/4*r**2 + 3*r**3 + w*r + 5\/4*r**4 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrddrwsddrdddjrwwr. Give prob of sequence dww.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2315 + -36241. Let p = -1927891\/50 - h. What is the common denominator of p and 119\/130?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44\/65 - 883\/520. Which is the closest to -1? (a) -5 (b) -0.4 (c) q (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2958 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-1)\/(-1) + 158\/79. Solve 3*z + 4*k = -4, 8 + 2 = -d*z + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53448.9256 to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11419*s + 1501*s = 119016 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 8*s + 13. Let t be (-3)\/1 + 6*-1. Let o be i(t). Suppose 0 = 4*b, 4*l - o*b = -7*b + 20. Solve 0 + 10 = -l*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**4 + 27*d**3 + 18*d**2 - 15*d = 0. Calculate d.\nAnswer: -1, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (6\/16*8)\/(1\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3*h**2*z - g**3*h*z + g**3*h + g**2*z - 923*g*h*z + 4342*g*h - 79919027*h**2*z - h*z wrt h.\nAnswer: -8*g**3*z - 159838054*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -53 - (9 + 182 + -184 + -1 + -4).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -119*a**2 + 1311*a - 18. Let i be w(11). Solve 5*c + 9 = -3*o + 21, i = -4*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(-4*x**2 + 3*x**2 - x**2)*(1 - 2 + 3 + 6*x).\nAnswer: -12*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 85. Let w be ((-1)\/(-2))\/(8\/g). Sort w, 0, -0.1, -0.21 in descending order.\nAnswer: w, 0, -0.1, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 54552451?\nAnswer: 54552444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156288\/5 + -31266. Find the common denominator of 71\/4868 and s.\nAnswer: 24340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - (-3740)\/7. Let p be 73\/(-6 - 67\/(-11)). Let w = p - s. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436924 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191217075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 16. Suppose -5*w + 16 = -5*k - 4, 2*k - 5*w + u = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 212. Suppose -134 = -9*n - k. Let j(c) = -3*c**2 - 1. Let y be j(1). Sort y, -3, n in decreasing order.\nAnswer: n, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20495 and 39817686.\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-3))\/(588\/(-989)) + -169 + 168 and -67\/252.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 12*m + 13. Suppose 33 = -3*l + v, -l - 8 = -3*v + 3. Let w be f(l). Suppose -w*u + 58 = 22. What is the remainder when 31 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1026347424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 n when four letters picked without replacement from nwwnwwzwy?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55215288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*h + 403 + 77 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36674331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141848412 divided by 1.\nAnswer: -141848412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51434, 203526, 456274, 809678, 1263738?\n\"Answer: 50328*j**2 + 1108*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**3 + 4*k**2 - 543*k. Let l(j) = -13*j**3 + 5*j**2 - 545*j. Give 5*h(t) - 4*l(t).\nAnswer: 2*t**3 - 535*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(246\/(-81) + 3). Let a = 993 - 268. Suppose q*x - 32*x = -a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**4 + 0*a**2 - 4*a**4 + 2 - 2*a**2 + a**3 to i*a + n + h*a**3 + c*a**2 + r*a**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 17. Suppose 11*b = y*b - 23200000. Round b to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 7*j - 8. Suppose -3*i = 4*a + 69, 3*a - 2*a - 2*i + 31 = 0. Let h be (20*18\/(-630))\/((-2)\/98). Let n = a + h. Calculate w(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:50 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 62 - 410 = 0. Let m = 54 + f. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 7. Let n be u(-8). Let r(f) = 4*f - 3 + 26*f + 4. Is r(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1836*u**2 - 69775*u + 36. What is s(38)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/117 - 337\/819. Which is the smallest value? (a) 2 (b) -4\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 y when three letters picked without replacement from {r: 2, q: 1, y: 1, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, i: 14}. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 79*b - 481. What is the units digit of a(44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -37. Suppose 3*z + u - 170 = 0, -g*z - 3*u = -u - 282. Suppose -4 = z*q - 59*q. Solve 0 = -5*w - 4*m + 5, -q*w - 4*m = m - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:55 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271818667 divided by 271818667.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 12432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/3)\/(l\/((l*l\/(l**(16\/3)\/l)*l)\/l)) assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 3*l - l**2 + 0*l**2 + l to i*l + y*l**2 + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.069, 3, -2\/3, -1\/2 in ascending order.\nAnswer: -1.069, -2\/3, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 6691*a**5\/5 - 6882*a - 8131. Differentiate c(j) with respect to j.\nAnswer: 26764*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -100. Let v = 3.7 + -4. Which is the closest to -2\/3? (a) v (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 12*f**2 + f + 14. Let d be w(12). What is the second derivative of -d - 19 + 98*t**2 + 21 + 2*t wrt t?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -411, -823, -1237, -1653?\nAnswer: -2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, d: 7, w: 4}. Give prob of sequence yz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1900, -1825, -1716, -1579, -1420?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342131134 (base 5) in base 10?\nAnswer: 3473919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*o**4 - 3)*(8 + 10 - 14)*(-4 + 1 - 11 + (1 + 0 - 2)*(2 + 5 - 5) + 2 + 1 - 1)*(5 - 1 - 2).\nAnswer: 336*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577363371 to the nearest integer?\nAnswer: 24028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -7*t - 42 = -21*t. Solve 2*n + 7*v = t*v - 4, -5*n + b = -3*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10220001021 (base 3) to base 7\nAnswer: -436156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*27*(-140)\/(-10584).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 12*a**2 + 6*a**2 + (2*a - 3*a + 0*a)*(-4*a + 0*a + 6*a) - 131*a**2 - 146*a**2 + 290*a**2 to i*a + y + g*a**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 3, 0 in descending order.\nAnswer: 29, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -412874 bigger than -412882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/((-2)\/(12\/1))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 163\/856 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 - 8 - 3*s**4 - 11*s**2 + 3*s**4 - 2*s**4 + 4*s**4 - 19 as r*s + h*s**2 + y*s**4 + l*s**3 + p and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 11. Let d be u(-5). Let a = 21 + d. Solve -4*y = x + 13, 5*x + a = -y - 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/225 - d**5\/150 + d**4\/30 + d**3\/9 + 2*d**2\/15 + 27*d. Find n, given that m(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -12, -2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-7) - 9\/21. What is the second derivative of -17 - 552*v**2 + 148*v**2 - 8*v + 160*v**2 + 166*v**j wrt v?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11041 and 10871 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5125\/2 - -2516. Calculate the common denominator of r and 49\/2808.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 485*a. Let n(b) = 661*b + 1. Calculate p(n(t)).\nAnswer: 320585*t + 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20231212 (base 4) to base 8\nAnswer: -105546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.2 (c) 0.1 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*f**2 + 1660*f**2 - 828*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 5 + (-2 - -8 - -13).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o**2 - o. Let r be t(3). Let u(c) = -c**2 - 39*c - 222. Let f be u(-26). Let k = f - r. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78614234.\nAnswer: 2, 43, 89, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/96172150 and 64\/105789365?\nAnswer: 1057893650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*y**3 - 6800*c**3*y**2 - 6*y**3 - 614 wrt c.\nAnswer: 6*c**2*y**3 - 20400*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -26. Suppose -z*x = -x - 550. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from btttttbttbtttbtttt?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6454056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/15, 2093.5308, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i - 2)*(0*i + 4*i - 2*i) - 4*i**2 + 6*i**2 - 3*i**2 + 2*i**2 - 28*i**2 + 17*i**2 - 61*i**2 to v*i + r*i**2 + l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 177784 divided by 4?\nAnswer: 44446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((4 - -19) + -3). Let v = l - -81\/4. Which is the closest to v? (a) 0.2 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -24, -0.5, 2\/9 in ascending order.\nAnswer: -24, -0.5, -0.02, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 64. Let d be f(-23). Suppose -z = -d + 10. Calculate the smallest common multiple of 18 and z.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:27 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/(-28) - -1 - 1318\/(-168) and 173\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 385, -0.1, 4, -98, 2\/7, 2 in decreasing order.\nAnswer: 385, 4, 2, 2\/7, -0.1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131 - 203034?\nAnswer: -201403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.938375ml in litres?\nAnswer: 0.002938375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 38 + 176 - 40 - 56 + 13*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n + 3120 = -90*n + 25*n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6742 + 3016. Let v = y - -5363. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x + 2. Let j be (26\/(-3))\/(148\/222). Let o(y) = -15*y - 5. Give j*c(f) - 6*o(f).\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1395 and 30.\nAnswer: -41850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 52. Let a be j(-14). Suppose a - 24 = 9*t. Sort 3, t, -5 in decreasing order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 14?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 + -520. Factor 0*p + 0 + 2\/9*p**2 + 2\/9*p**m.\nAnswer: 2*p**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/15 + 8*r**3\/15 + 4*r**2\/15 - 8*r\/5 - 6\/5.\nAnswer: -2*(r - 3)**2*(r + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.80358 millilitres in litres?\nAnswer: 0.08680358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11854, -23734, -35644, -47584, -59554?\nAnswer: -71554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -343168?\nAnswer: -343173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x - 232 - 68. Let y = 81 - 51. What is the greatest common divisor of y and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475*(138510\/(-3375) - -41).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d + 11818 - 12093 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.059.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 + 2.7. Let w = 83.2 + -82.2. What is the smallest value in t, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345 divided by 3\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84754437 to the power of 1\/2, to the nearest integer?\nAnswer: 9206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 83 + 13 = 0. Let k(b) be the first derivative of -3\/5*b**f + 0*b - b**3 + 3\/2*b**4 + 0*b**2 - 1. Factor k(h).\nAnswer: -3*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -332? (a) -1 (b) 0 (c) -1413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122141839 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 2320*o**2 + 0*o - 7*o.\nAnswer: -2320*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75893 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 + 9*c**2 + 33*c. Let m(x) = 2*x**3 - 4*x**2 - 16*x. Give -9*m(k) - 4*v(k).\nAnswer: -2*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 - 44) + (-24)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3. Suppose -7*i - 9*i = 64. Which is the second biggest value? (a) 0.2 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23592 by -1285.\nAnswer: -23592\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + ((-21)\/6)\/(-7). Suppose -3*i - 2*i - 2*s + 26 = n, 0 = s - 3. Solve -13 = 6*j - j - i*b, -4*j + 3*b = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 65*r**2 - 4391*r - 75789. Determine l(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*p - 7*p - 170, 4*w - 2*p - 208 = 0. Suppose 0*d + w = 5*d. Let q(f) = 5*f - 1. Calculate the remainder when q(4) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 36*n + 7*n + 704 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-2))\/16*(-24)\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/105 + 5791*(-1)\/(-56). Let p = 103 - f. What is the closest to 0.1 in 1\/3, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*t + 25, 18 - 1 = -a + 5*t. Let h be a\/35 - 61\/(-5). Solve 2*m = -2*m - h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 121, 181, 241, 301?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + a + 4, -2*k - 3*a + 2*a - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fguxgglglguuggglxfll. What is prob of picking 1 l and 1 f?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 6:29 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -372 + 353.7. Let u = t + -4.7. Let o = 22.99999964 + u. Round o to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -19, -29, -41, -55, -71, -89?\n\"Answer: -p**2 - 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from {k: 8, n: 5, e: 3}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + t)*(68*t - 10 + 14 + 93*t)*(0*t**2 + 0*t**2 - 3*t**2).\nAnswer: 483*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v = -4, -72 = -4*b + 2*v. Solve -19*q = -74 + b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) 21 (c) 8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -163, -188, -223?\n\"Answer: -5*k**2 - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.706171130527 + 0.2.\nAnswer: 0.906171130527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 44*c - 5460 = 0. What are the prime factors of c?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/20)\/1)\/(36\/(-36)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -59. Suppose l - 614 = -5*d, -9 = -v*l - 1. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1429697 (base 14) to base 3\nAnswer: -200102001200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304093 by -4283.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*n + 2*n. Let m(r) = -52*r. Let p be m(-1). Suppose 2*a = n*a - p. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:21 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i + 83. Determine y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -16*p**2 - 4*p. Let b(u) be the second derivative of 5*u**4\/12 + u**3\/6 - 3*u - 1. Determine -7*b(z) - 2*i(z).\nAnswer: -3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-1*sqrt(8) - sqrt(8)) + sqrt(21))\/((sqrt(28)\/sqrt(4) + sqrt(7))*6).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(-1*(sqrt(242)*2 + -5 + (sqrt(242) + sqrt(242)*-2 + sqrt(242))*-4))**2 + 5)*3.\nAnswer: -17850 + 3960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 - 32*q\/7 - 68\/7.\nAnswer: (q - 34)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356292*q**3 - 356262*q**3 + 712564*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886231 to the power of 1\/2, to the nearest integer?\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-3*(-100)\/1720)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8825888864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.41? (a) 6 (b) -1\/8 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose f = -2*g + 3*g + 16. Let h = -8 - g. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 121. Let f be 1\/2 + t\/(-48)*42. What is the highest common divisor of f and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(21) - (sqrt(21) - sqrt(252)\/sqrt(300)))\/(sqrt(7) + sqrt(63)*-6 - sqrt(7)))**2.\nAnswer: 1\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (-3 + 9 + -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-4) - (-190)\/5. Calculate the highest common factor of c and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 185*v - 575 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/10*3\/(18\/8). Let a(z) = -z**3 - 2*z**2 - 7*z - 5. Let c be a(m). What is the greatest common factor of 81 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 33454935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 4764 = -18*n. Let d = n + -141. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and -162482882954.\nAnswer: -162482882941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {x: 3, k: 4, w: 4, q: 2, f: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -2*(-2)\/(-4). Let k = 7 + -3. Let j = k - 0. Put 3, t, j in ascending order.\nAnswer: t, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, 1\/7, -4, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -1\/6*z**4 + 0*z + 34*z**2 + 1 + 1\/30*z**5 + 0*z**3. Let v(r) = -2*r. Give v(c(q)).\nAnswer: -4*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y. Let g(k) = 198*k**2. Calculate g(w(p)).\nAnswer: 1782*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*k - 1597, y - 6 - 1589 = -5*k. List the prime factors of y.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o**2 - 6*o. Let y be w(2). Factor y*a + 0 + 0*a**2 - 3\/7*a**4 + 0*a**3.\nAnswer: -3*a**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose -3*h + 15 - 3 = g. Suppose 0 = -4*x - 2 - 6, -50 = -f + 3*x. Calculate the smallest common multiple of h and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -10488?\nAnswer: 10483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1\/7, 371?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28386 divided by 9\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 480 - 80. Let k = 65 + d. Put 3, -2, k, 2 in decreasing order.\nAnswer: 3, 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450937?\nAnswer: 59, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5030263342 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the nearest to -0.5 in -1\/4, 3, 1, -0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 125. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 2940.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.364 and 11528.0226.\nAnswer: 11525.6586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 6*z + 4*h + 34, h = -z + 8. Let k(f) be the third derivative of -f**4\/6 - f**3\/6 + f**2. Give k(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -661547*j + 661547*j - 3*j**4 + 2 - 14*j**2 - 5*j**3 as i*j**4 + o + n*j**3 + l*j + v*j**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 13*k**2 - 28*k - 26. Let x be w(15). Suppose -2*u - 2*o = -1962, -x*o - 408 - 593 = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (225\/(-6))\/5*(-18)\/27. Suppose -2*n - 2*n - 8 = 0. Put -5, n, d, 1 in increasing order.\nAnswer: -5, n, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2. Let r be ((-820)\/(-70) - 11) + (-2)\/(-7). Determine q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*k**6*p**2 - 56*k**4*p**2 + 3*k**2 - 63*p**2 wrt k?\nAnswer: -1680*k**3*p**2 - 1344*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 3. Let g be t(5). Suppose -4*z - g*h = 0, -h + 9 = -5*z + 23. Suppose z*s + 10 = 3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - -6. Suppose -3*u = -3*t - 24, 5*u - 37*t - 68 = -39*t. Calculate the remainder when g is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = 24. Let d = -41 - -50. Let w = z + d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (253*g**2 - 253*g**2 + 51*g**3)*(1 - 3 + 1)*(2*g - 3*g + 3*g) as x + u*g**4 + d*g + b*g**3 + y*g**2 and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Suppose -3*j - j = 20, v*q = j + 81. Suppose -q = -3*x + 5*m, 51 = 2*x + x + 3*m. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212019554 to the power of 1\/2, to the nearest integer?\nAnswer: 14561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -24. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 6 + 6 + 8*p - 7. Let w be n(5). Let g be (18\/(-15))\/((-2)\/w). Calculate the highest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75021 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44250237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + -14 + (-12)\/5. Sort 0, -0.5, t in decreasing order.\nAnswer: 0, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -27*u**3 + 3. Let k be b(-2). Let j = 242 - k. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j**2 + 26*j + 10. Let k = 64 + -60. Let o be -6 - k - (2 + (-3 - -2)). Let x(m) = 4*m**2 + 5*m + 2. What is o*x(f) + 2*q(f)?\nAnswer: -2*f**2 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + 6*u - 8. Let l be k(-7). Sort -5, l, 4 in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 876 - 874. Let d = -27 - -45. Let y = 25 - d. Sort -0.2, y, a in decreasing order.\nAnswer: y, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444125445 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03 or 0.984?\nAnswer: 0.984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -3*h**2 + 7*h + 1. Let p(z) = 506 - 258 + z - 249. Let r = 1043 - 1042. Determine r*b(i) + 5*p(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*m + 7, 7 = -2*q + 3*m - 2*m. Let s be (1 + q)\/(18781\/6258 + -3). Let u = s + 3347. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5891 - 5611 = 70*b. Calculate the smallest common multiple of b and 9414\/21 - 4\/14.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crqq when four letters picked without replacement from {c: 1, q: 2, r: 1, u: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v - 44*v + 4*v**3 + 18*v.\nAnswer: 4*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3004302 + 3?\nAnswer: 3004305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 140239106 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**3\/6 - h**2\/2 + 2*h. Let q(f) = f + 8. Let l be q(-6). Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.01 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 - k + k + (-4*k + 2*k + 3*k)*((-20*k + 11*k + 2*k)*(-3 - 5 + 4) + 0*k + 2*k + 0*k) as i*k + x*k**2 + v and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20762519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 651401651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1539) + sqrt(1539) + -1)*1 - (sqrt(1539) + -1 + sqrt(1539))*-2)*3 - (-3*(sqrt(1539) + 3) + 5)*2)**2.\nAnswer: -432*sqrt(19) + 886465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.01, -2\/7, -51, 2\/131 in descending order.\nAnswer: 4.01, 2\/131, -2\/7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 12*i - 10 = -7*i, 0 = 6*o - 3*i - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-78)\/364 + 30088\/2688.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/3542 and 81\/644.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -0.01 (c) 3 (d) 509268 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.63 and -418.3671.\nAnswer: -263.571273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {u: 1, v: 6, t: 1, k: 4, c: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 10:59 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2659 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 67. Find the second derivative of -3*b**3 + 2*b**2 + 2*b - 5 + x - 2 wrt b.\nAnswer: -18*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-24) + 1\/4. Let u(o) = -o**3 - o**2 + o + 6. What is the units digit of u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.085 - -0.185. What is the biggest value in 2, c, 1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.424536 rounded to 3 decimal places?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 + 7*c + 2. Calculate j(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1091, 1092, 1093, 1094?\n\"Answer: x + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 809001 divided by -4731.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 + 0 + 6 + 0 - 2*h**3 - 5*h**3 + h. Let r = 2 + -2. Determine k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f. Suppose -u + 17077 + 6315 = f. Let c = 85608 + u. What is c rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*r + 300*r - 100 = -4*p, -4*p + 112 = -2*r for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*m + 22 = -0, -5*m - 17 = 4*f. Suppose -w = f*w. Solve -4*h - 2*h - 18 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 16 - 20 - (-6 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 34*n + 510. Let y be q(-15). Let f(m) = -m**2 + m + 35. Determine f(y).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-3) - 54)*5566\/27830.\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20\/11, 1\/63 in descending order.\nAnswer: 20\/11, 1\/63, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -12*u + 10. Let p be h(0). Let y be (8\/3)\/(p\/15). Suppose 14*w = 15*w - y. Solve w*f + 4 - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217055029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from fvcicii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -184237 and 12.\nAnswer: -184225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 3*a**3 + 0*a**3)*(-42 + 5 - 12).\nAnswer: -49*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Let o = a - 5. Let t(w) = -2*w - w**3 - w**2 - o + 2*w. Calculate t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -186229*x + 186231*x + 10, 4*x + 4*l = 28 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79 or 0.11?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4757 + 4757. Suppose 0*b - 20 = -5*b. Suppose b*p + 0 + 20 = u. Is p >= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/84 + 11*j**3\/21 - 48*j**2\/7 + 8*j + 32. Factor a(t).\nAnswer: -(t - 16)*(t - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -45. Suppose i*u + 119 = 319. Is ((-12)\/u)\/(1\/5) + 1896 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 663, 0.98 in increasing order.\nAnswer: 3\/7, 0.98, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/9, -58, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.328 - -0.298. Which is the third smallest value? (a) s (b) 18 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 6*b - 10. Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2472*q**5 + q**3 + 1786*q.\nAnswer: -49440*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 7}. Give prob of sequence vwvv.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 93. Let k(q) = q**2 + 2*q - 9. What are the prime factors of k(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 1\/((-14)\/16). Let j be ((-10)\/75*5)\/(5\/3). What is the closest to j in 1, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1886c (base 14) to base 3.\nAnswer: -10011002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268240879?\nAnswer: 19, 337, 41893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238392 divided by -9.\nAnswer: -26488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from eefeefeeezfiize.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 13*c**4 - c**3 + 1 + 3*c**2 + 14*c**4 - 24*c**4 as r*c**4 + y*c + v*c**2 + j + g*c**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345 and 1445.\nAnswer: 99705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b*p**2 - 6*b*p*y - 30*b*p + 3*b*y**2 - 111806*p**2*y**2 - 3*p**2*y - 49*p*y**2 + 201 wrt y.\nAnswer: 6*b - 223612*p**2 - 98*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 4*n - 4. Let g be p(2). Suppose -s = 53 - g. Let v = -5.4 + 0.4. Which is the third biggest value? (a) s (b) v (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - v + 1. Let m = -45 + 47. Let u be x(m). Which is greater: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-10)*1170\/156\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(63) + -1 + sqrt(63)) + -2.\nAnswer: -6 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 33*w**2 + 2*w - 83. List the prime factors of a(-8).\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/21 + (-38760)\/(-280). Is c < 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*q = -4 - 7, 3*q + 6 = 0. Suppose -g + 3*r = -36, -3*r = 2*g + a*g - 126. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 + 44 - 42)*(-2*x**3 + 5*x**3 - 4*x**3 + (2*x - 5*x + 2*x)*(2*x**2 - 2*x**2 + x**2)) to the form y*x + r*x**3 + k*x**2 + p and give r.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2. Suppose -5848 = 15*q - 763. Let m = q + 336. Let y(j) = 3*j**2 + 6. What is m*y(b) - 8*z(b)?\nAnswer: -b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 4*c**7\/21 + c**4\/2 - 3*c - 8. Let r(m) be the first derivative of q(m). What is the third derivative of r(p) wrt p?\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0*c**2 + 5*c + 1\/10*c**5 + 0*c**3 + 0 - 5\/6*c**4. Factor k(d).\nAnswer: 2*d**2*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/334 + 1401\/4342. Which is the third biggest value? (a) r (b) -0.5 (c) -1\/7 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/6 + 122*l**3\/15 - 48*l**2\/5 + 46*l. Determine s, given that w(s) = 0.\nAnswer: 2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -679 or -683?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1140.4 + -1140. Which is the fourth biggest value? (a) -0.1 (b) f (c) 3 (d) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139\/3 - -47. Let v = 14627 - 14627.3. Let h be (-2*(-1 - -2))\/(-3). Which is the closest to h? (a) v (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20*x + 115. Let f be o(5). Solve -2*v = 5*r - 2*r - 3, 5*r = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180918?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccxx when four letters picked without replacement from {x: 3, c: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-84)\/(-70))\/((-2)\/(-5)). What is the remainder when (-4 - -3) + (33 - 9\/c) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose 0 = f - o*t - 1859, -2*t + 1860 = f - 4*t. Does 8 divide (-4)\/22 + f\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - ((sqrt(1331) + 1 - sqrt(1331))*6 + sqrt(1331)))**2 - sqrt(1331))*-4.\nAnswer: -144 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 13*r + 2. Let m(f) = f**3 - 27*f**2 + 125*f + 19. Let d be m(6). Determine x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0452 + -16.9548. Let a = 14 + r. Sort 0.1, a, 3\/2, -11 in descending order.\nAnswer: 3\/2, 0.1, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2501025.2+0.1\nAnswer: 2501025.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-26) + 3 - 80\/520.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72981597 or 72981596?\nAnswer: 72981597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0514 + -0.05. What is v rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l + 140. What is the remainder when 127 is divided by y(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 + o**2 - o + 1. Give n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-164)\/(-48))*(-1292932)\/50. Let v = 10772 - j. What is the common denominator of v and 13\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/4))**(-15)\/(h**(-4)\/h**(7\/2)) assuming h is positive.\nAnswer: h**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050612246 to the power of 1\/2, to the nearest integer?\nAnswer: 32413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32568281 and 86034.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 59*m**3\/4 + 263*m**2\/4 - 699*m\/4 + 189\/2 = 0. Calculate m.\nAnswer: -6, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7783127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/180 + 7*p**4\/8 + 220*p**3\/9 - 4072*p**2. Factor y(g).\nAnswer: (g + 8)*(g + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -160, -391, -712, -1117, -1600, -2155, -2776?\n\"Answer: f**3 - 54*f**2 + 20*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*o**5*t - 2114*o**4*t - o*t - 33*o + 483*t wrt o?\nAnswer: 1060*o**3*t - 25368*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + i = 0, -4*x + 6*i - i = 5. Suppose -28 = x*a - 9*a. Suppose a*t = 6*t + 254. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(171) + (-2 + sqrt(931))**2 + 5)*3.\nAnswer: -120*sqrt(19) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r**3 + 88*r**3 - 635647 + 112*r**3 + 635647.\nAnswer: 146*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11439 and 1377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/297)\/((-530)\/(-3816))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*f = -3, 3*w + 4*f = 11 - 0. Let g = w + 6. Let j = 2 + -2. Which is the nearest to -0.1? (a) g (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 11 = -2*o - 3, 0 = 4*v - 2*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -663 divided by -13\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000849013 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*4\/(-8) - ((-7 - -11) + -10). What is the closest to 28 in 0, i, -19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503719 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 1. Let n be (18 - 18)\/(9 - 14). Factor -d**i - 15\/4*d**5 + 0*d**2 + n - 4*d**4 + 0*d.\nAnswer: -d**3*(3*d + 2)*(5*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17957780231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -367 - -248. Let c be (-2 - (2 - 2)) + 178. Let v = j + c. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83ab (base 12) to base 7.\nAnswer: 56642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 10. Let o be s(-7). Suppose -n - 20 = -2*a - 2*n, -o*a - n = -36. Solve k - 3*k - a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112330300220 (base 4) in base 11?\nAnswer: 3439a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**3 + 43 - 5*f**4 + 61*f - 105 + 62 wrt f.\nAnswer: -60*f**2 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 3:59 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -71\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 315281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 - 1) - (-12 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-1)\/((-12)\/(-15)). Let m = z - 26. Let v = m + 32. Solve 4*s - v - 1 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44666 is divided by 7440.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 167 + (-45 - 51) + -37?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -168. Let f = -106 - -122. Calculate the highest common factor of f and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 (base 13) in base 11?\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2849008 and 7.2.\nAnswer: 2849015.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/(-46)*(-1 + -1). Let t = -26 - -29. Suppose 6 = -2*y + 5*u, -t*y + u = -u - 2. Solve 4*a + 12 = -h + 5*h, 5*a + y*h = -x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 419 or 1.7?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-4\/3)*b))*b)\/b*b*b**(-18)*(b**(4\/13))**(-41) assuming b is positive.\nAnswer: b**(-1168\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*y**3 + 818608*n*y**2 + 2*n*y - 74929*n - 3*y wrt y?\nAnswer: 12*n*y + 1637216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2*s**3 - s)*(15 + 3*s - 15) - 7910*s - 126 + s**4 + 7910*s.\nAnswer: 7*s**4 - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -0.2, 0.04, 10, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -113, -138, -175?\n\"Answer: -6*v**2 + 5*v - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -84 + (-3 - -4) + -2. Let i be f\/70 - 2\/7. Let c = -0.6 - -5.6. What is the third biggest value in c, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174402 * 3.\nAnswer: -523206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57667.3915 - 57894.4. Let d = 227 + f. Round d to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - -10?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(11 - 11 - 5*i)*(4*i**2 - 5*i**2 + 3*i**2)*(5 + 1 - 5)*(-1 + 1 - i**2).\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-18)\/n*n**(-2\/9)*(n\/n**(-7\/5))\/(n\/(n\/(n*n*(n\/((n*(n**(1\/26)*n)\/n*n*n)\/n))\/n*n)*n)) assuming n is positive.\nAnswer: n**(-18467\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11036011 (base 7) in base 9?\nAnswer: 1707707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 24622 = -5*m. What are the prime factors of m?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {d: 4, o: 2, a: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000222337 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -5, -17, -23, -17, 7, 55, 133?\n\"Answer: l**3 - 6*l**2 - l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 + 4*z - 3. Let x = -13 + 16. What are the prime factors of l(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4260*u**3 - 2*u**2 - 3*u + 7. What are the prime factors of h(1)?\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-3))\/((-3)\/9). Let s(x) be the second derivative of -1\/20*x**5 + x + 5\/12*x**4 + 0 + 5\/2*x**2 - 1\/6*x**3. Determine s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7344 and 16592?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/280 + g**6\/80 + g**5\/80 - g**4\/16 + g**2 + 22*g. Factor r(h).\nAnswer: -3*h*(h - 2)*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14446217809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6928 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3490308*s*v - 943040*s + 3 wrt v.\nAnswer: 3490308*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/774 and -13\/9288.\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 5*x - 5. Let m be q(5). Let v be m\/36*(-11)\/5. Let c = v - -53\/12. Is c smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24\/5, 7, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 624, 1421, 2536, 3969?\nAnswer: 5720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 273*s - 2030. Is q(70) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7652660 is divided by 856?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u. Suppose 5*i - 44 = -2*c + 3*i, u = c + 3*i - 16. Suppose 4*a - c = -a. Solve -21 = 4*d + w, 2*d = 4*w - a - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**28\/q))*q*q\/q**(-2) assuming q is positive.\nAnswer: q**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3735.78 - -3735.497763. Let f = -0.282 - p. What is f rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 46*t**2 + 150*t - 152. Give y(49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101202021 (base 3) to base 8.\nAnswer: -17235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + -27?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1021, -1, 0, -1335, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/23149 and -9\/8866067?\nAnswer: 8866067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.42 + 12. Let i = 521212.419942 + -521212. Let s = i + m. What is s rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/(-44)*4\/(-57). Which is the third biggest value? (a) -2\/3 (b) u (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-42) + (-14)\/(-6). Suppose z*a + 44 = 25*a. Solve -2*h + f = h - 5, 0 = a*h - f - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7333 - 4911. Suppose 5*h + 48*v - j = 51*v, -3*h - 5*v = -1460. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 94 = -h, 5*j + 2*h = 3*j - 52. Let x be (16\/j)\/(22\/33). What is the third biggest value in -0.04, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, 5, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14735 take away 2516.6291?\nAnswer: 12218.3709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7435, -29417, -66055, -117349, -183299, -263905, -359167?\n\"Answer: -7328*t**2 + 2*t - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5519.724 weeks?\nAnswer: 927313.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -592 + 597. Solve -v = -j*y - 15, -4*y - 9 = -y - 4*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417412 divided by 3.\nAnswer: 417412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(-4 + 5*(2 + (sqrt(468)*-2 + sqrt(468) - sqrt(468))) + -4))**2.\nAnswer: -6600*sqrt(13) + 1170121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.41 litres to millilitres.\nAnswer: 11410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 7*l**3\/6 - 3*l**2\/2 - 13*l. Let d be o(1). Suppose 1760004 = d*k - w, -w - 1 = 3. What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 4. Let t(k) be the second derivative of k**3\/2 + 3*k**2\/2 - 30*k + 7. Suppose 25*b - 27*b = -10. What is b*t(n) + 4*v(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-9) + 1)*(-6)\/2. Let z be 136 + 2*(x + 3)\/(-4). Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u*u)**8)**(-4\/9)*(u*u**1*u)**(-1)\/(u**(-2\/5))**(-2\/3) assuming u is positive.\nAnswer: u**(-49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -2030 (b) 5 (c) -3 (d) 2 (e) -0.8 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrlwmmmwmnmmrnmml. What is prob of picking 1 w and 1 m?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25406 + -381076\/15. Let -4\/5*b - q + 2\/15*b**2 = 0. Calculate b.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3192 divided by -38\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**3 + 2*g + 2. Let y be s(-1). Let n be y*(10\/4 - 3). Let x = n + -10. Put 5, x, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -db (base 14) to base 10\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.23 - -1.9. Let z = u - -0.36. What is z rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.94 + 6. Let n = c + -8.06. Let b = n - -3. What is the smallest value in 0.5, b, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -33*r**2\/2 - 5*r - 305. Let d(t) = t**2. What is u(d(a))?\nAnswer: -33*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:19 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 609, 1233, 1863, 2499, 3141, 3789, 4443?\n\"Answer: 3*l**2 + 615*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-334)\/(-835)*5\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 bigger than 33225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*o + 4, y = -o - 0*o + 2. Which is the nearest to 10? (a) 5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t**3 + 14*t**2 + 50*t + 6. Let q(s) = -32*s**3 + 30*s**2 + 99*s + 13. What is 13*l(c) - 6*q(c)?\nAnswer: 10*c**3 + 2*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186449 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/3 - 428*v**4\/3 + 4426*v**3\/3 - 12092*v**2\/3 + 976*v\/3 + 17920\/3 = 0. What is v?\nAnswer: -224, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 673638 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628887670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c = -2*y - 34*c + 8, -y - 5*c = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-8)*(-7)\/910*-15.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 - (-5 + -2). Suppose -3*o = -w + 6 + 26, 0 = 5*o + x. Suppose -5*z + 10 = 0, 2*j = z + z + w. Solve -4*f - j = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**3\/3 - 11*j**2\/2 + 4*j + 13. What is v(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by 8.\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 37*n**2 + 20742*n - 20742*n. Let c(z) = 2*z. What is c(s(d))?\nAnswer: 74*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 4, d: 2}. What is prob of sequence yy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 2.17. Let v = 102.93 - l. Let p = v - 103.86. Round p to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201422 (base 5) to base 13\nAnswer: -2c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1973 - 4090. Let o = -4267 - h. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, 30, 101, 174, 249, 326?\n\"Answer: f**2 + 66*f - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 46. Let y(t) = -3*t + 23. Let l(w) = -4*s(w) + 7*y(w). Let j = 28 + -10. Is 12 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (-3*sqrt(66) - sqrt(66)))*-3 + sqrt(66))\/sqrt(6).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*a - 5. Suppose p - j = -0 - 3, -2*j - a = 4*p. Let m = 52 + -53. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -18. Suppose 5*f = 4*k + 36, k + 36 = m*f - 4*k. Solve -5*i - 27 = -f*z, 2*z + 3 = i - 4*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 28.999981. What is g rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41*63476.9\nAnswer: 2602552.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7518, -15038, -22558, -30078?\nAnswer: -37598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 2*t**4 + 4*t**2 - 11*t + 11*t in the form a*t + g + l*t**4 + p*t**3 + j*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115 + (-65 - -161) - (-4 + (-1 + 0 - -4))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304.7578 + 304. Let k = l + 1.1467. Let c = 0.38 - k. Round c to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 270135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 30. Suppose h - 21 = 3*z - 2, -3*h + 33 = -3*z. Suppose 3*s = 3*s + h*s. Put s, -1, v in ascending order.\nAnswer: v, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g**2 - 5*g + 5. Let q be (-3 + 2)\/((-1)\/20). Let v(x) = x**2 + x - 1. Give q*v(i) + 4*f(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1788. Let c(s) = -s**2. Determine p(c(z)).\nAnswer: -z**2 - 1788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*1264\/(-12)*-6.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9456 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84628 to two decimal places.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 18 - 127*m - 7.\nAnswer: -127*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2*x + 1 - 1) + 22 + 854*x + 840*x - 1678*x.\nAnswer: 14*x + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 0*f + 2*f)*(-10 - 5 + 4) + (4*f - 4*f + 2*f)*(-1 + 2 + 0) to d*f + r and give d.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 10) + -1 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + (-2)\/3 + (-50)\/15. Suppose 0 = 5*m + 3*k - 28880, -11*k + x*k + 28890 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n**3 - 201*n**3 + 135*n**3.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and 81\/518384.\nAnswer: 3628688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-27)\/5)*2\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*l**3 + 2*l**2 + 289.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4 - 30*n**3 - 94*n**2 - 66*n = 0.\nAnswer: -11, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4488 and 4444.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5680502 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195596 by 34.\nAnswer: -97798\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126914 is divided by 913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 smaller than 254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10*b = -15. Solve -2 = -2*g - 2*s, -6 + b = 3*g + 5*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(45))\/(sqrt(9) - (sqrt(9) + sqrt(144))*-1).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304117666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3201.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -2\/7, -699, 1\/68 in decreasing order.\nAnswer: 1\/68, -2\/7, -115, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/2))**(3\/20)*(k**(-2\/9))**13 assuming k is positive.\nAnswer: k**(-959\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1670669?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44532 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141 - 180*a**2 - 1944*a**3 + 3788*a**3 - 4*a**4 - 1896*a**3 + 100*a + 859.\nAnswer: -4*(a - 2)*(a + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -434c - -7d8?\nAnswer: -3b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 92 + 52. Suppose -143*u = -150*u + 70. What is the remainder when v is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 38 = 30. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7477*q**2 - 3534*q**2 - 3418*q**2.\nAnswer: 525*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2 = -3*c + 3*x, 0 = 2*c - 5*x + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6.68, -9\/5, -5, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(245)*-2) - (-4 + -4 + sqrt(3) + 2))**2.\nAnswer: -90*sqrt(3)\/7 + 7731\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 33014084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -13. Which is the closest to 0.2? (a) -0.4 (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 89 = 3*w - 17, -n + 16 = w. Let a = 19 - n. Suppose 0 = -a*h + 3*h + 26. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 301, -0.1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204951683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*q - 11 = 0, 3 = -4*q + 15. Let l(a) = -2*a**2 - 2*a. Let w(d) = 2*d**2 + 3*d. Determine h*w(u) - 3*l(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 6*i**7\/7 - 2*i**3\/3 + 5. Find the third derivative of p(b) wrt b.\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0) + (-6 - -5 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 10*v - 31\/3.\nAnswer: (v - 1)*(v + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 2*q - 2. Let k be c(2). Let z be 3\/((k\/(-4))\/(-1)). Let t(x) = 1 - 4*x - 4*x - z. What is t(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*(4602\/(-1053))\/(-59)\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2066012 = 3*f + 45029 - 296101. Round f to the nearest one thousand.\nAnswer: -605000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -15, 6, -1\/6, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.043, 19.42, -400?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12745 - -11?\nAnswer: 12756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let p(h) = 71*h + 47. Let t(b) = -71*b - 32. Let u(a) = -2*p(a) - 3*t(a). What is u(i(z))?\nAnswer: 71*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 + (4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90361680 and 90361680?\nAnswer: 90361680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 74 = 2*m, -3*m - q = -2*q - 125. Suppose 0 = 5*b - 4*y, 0 = b - 4*b + 3*y. Calculate the remainder when m is divided by 16 - (-1 + b)*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.74146 + -2.74. Round s to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.26 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1043762*n + 10383408.\nAnswer: 1043762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7*i - 93042084 - 28779609, -2*z = i - 17403086. What is i rounded to the nearest one hundred thousand?\nAnswer: 17400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 26 in descending order.\nAnswer: 26, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4460 and 1226180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*i + 231*i + 60137 = -441*i for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3948*x + 13734 = 7577*x - 3847*x for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.68183274 to three dps.\nAnswer: -325.682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) + 28\/(-6). Suppose -2*u + 7*u + 5 = 0. Let v be (-28)\/35*6\/(12\/(-5)). What is the closest to u in -0.1, m, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 854, 4287, 7720, 11153, 14586, 18019?\n\"Answer: 3433*u - 2579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z + 2144 = 2950 + 2720 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjwjw. Give prob of sequence wjvj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**4\/48 + i**3\/6 - i**2\/2 - 201*i + 104. Let x(j) be the first derivative of y(j). Factor x(n).\nAnswer: -(n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 1, a: 2, o: 2}. What is prob of sequence oaab?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) - 1030\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(16)\/sqrt(8))**2*-2 + 5) - (4*sqrt(2)*-5 - 6*sqrt(20)\/sqrt(10))**2.\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + g - 4. Let z be t(-2). Let s(h) = 2*h**3 + h**2 + h - 4. Is s(z) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-2340)*3*(-4)\/8*-50?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 72 = 0. Suppose 6*w - 8*w = -p. Let z(x) = -w*x + 0*x + 10*x. Let i(d) = -d**2. Calculate z(i(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 109982.7cm?\nAnswer: 1099827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r - 4*r + 5*t, 2*r - 2 = -3*t. Let z = 2 + 0. Suppose -z*a - 4 = 2*i, 2*a - i - 4*i = 31. Solve -2*s + r - 9 = 4*h, 3*s - 3*h + a = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 6)*(3*w - 2*w + 0*w) + 1 - w - 1.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 66 (b) -0.03 (c) 1\/2 (d) 1 (e) 0.2 (f) -2 (g) -18\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2585696*w - 5171397*w + 2585699*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, b: 1, v: 1}. Give prob of sequence vb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(828\/8)*3\/1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11316 - -11317. Let z = -4.9 - -0.9. Let m = 0.25 + -0.2. Which is the second biggest value? (a) t (b) 4 (c) z (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 9967*x**2 + 436655*x - 426689.\nAnswer: (x - 9923)*(x - 43)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 8 - 13*s**2 + 44*s + 23*s**2 + 25*s**2 + s**2 = 0?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowttoydtodttwwto. What is prob of picking 2 w and 1 t?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3835825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*95.4.\nAnswer: 19.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026338 to four dps.\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 2}. What is prob of picking 1 f and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -9.9. Let p = 9 - y. Let m = 3 + p. Which is the nearest to 1? (a) -0.5 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -1, 3, -3, 91 in descending order.\nAnswer: 91, 3, -1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 67, 9, -97, -251, -453?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 2*m + 78 - 366, -2*m - 144 = -3*q. Calculate the highest common factor of q and 2256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 23*k - 25, -31*h = -28*h - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-2 - 3\/(-2)). Let x = 0 - t. Solve 2*q - 20 = -x*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 - 22*s + 65. Calculate h(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -1, 0 in decreasing order.\nAnswer: 6, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:44 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -7. Let l = 35 - q. Suppose -l = -2*b + 12. Calculate the smallest common multiple of b and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/54, -4, -2, 26, 2\/17 in decreasing order.\nAnswer: 26, 3, 2\/17, 1\/54, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 - 64*d**4 + 420*d**3 - 896*d**2 + 778*d - 240.\nAnswer: 2*(d - 24)*(d - 5)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*d**2 - 64 + 64)*(0 + 14 + 7)*(1 - 5*d - 3 + 4) + 0*d**3 + 5*d**3 - d**3 - 1 + 1 - d**3 as k*d**2 + m*d**3 + b*d + i and give m.\nAnswer: 1263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*r**3*x**2 + 54*r**3 + 5*r*x**3 wrt x?\nAnswer: 48*r**3*x + 15*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 22*t**2 + 153*t - 184. Let a(q) = 3*q**2 + 18*q - 23. What is 17*a(z) - 2*m(z)?\nAnswer: 2*z**3 + 7*z**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 2. Let v(i) be the third derivative of 44*i**2 + 0 + 1\/6*i**3 + 0*i. Calculate 3*d(u) - 7*v(u).\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28\/415 + -23716\/7055. Is -4 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2316 divided by 14\nAnswer: -1158\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -25. Solve 3 = 4*a - g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = f - 13, -5*f + 22*j + 185 = 27*j. Solve -35 = 15*l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 + 161732*q**2\/13 + 3281590290*q\/13 + 482139268776\/13.\nAnswer: 2*(q + 148)*(q + 40359)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, 29677, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 8*i - 4*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -3*a + 46, 2*a + 5*n = 48. Calculate the greatest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 25 = 2*u, 0 = -u + 157*j - 156*j - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 897437791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, p: 8, q: 4}. What is prob of picking 1 p and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(874*m**3 + 347*m**3 + 741*m**3) to r*m + h*m**2 + j + b*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22269 is divided by 2975.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131\/88 - 15\/11. Let x = -1\/2 - -13\/14. Sort 2, x, i.\nAnswer: i, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 821653 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x - 2*x)*(-3*x**3 + 4*x**3 - 3*x**3) + (0*x + 3*x**2 + 0*x)*(-1 - 2*x**2 + 1).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 2 = -8*t. Suppose 3*y = -t*y + 7295. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35379171 less than 35379171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -14. Let c = f + -8. Let z = c - 9.9. Are 2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -289029091.8000503 + 289029124. Let b = -32.2 + q. Round b to six dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 20*k - 45. Calculate l(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000108169351 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13246.\nAnswer: 2, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/139 (b) 1 (c) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from akaqqqqqfvkqkqqqql.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326646 and 4736367?\nAnswer: 9472734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(10\/3)\/w*w*w**12*(w**9)**(2\/5) assuming w is positive.\nAnswer: w**(284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -101, -154, -207, -260, -313?\n\"Answer: -53*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 3*o**2 - 5*o + 3. Calculate the remainder when 26\/3 + (-8)\/12 is divided by q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 6\/25, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + -2. Let c = -1456 - -1460. What is the closest to 0 in -1\/6, o, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-385)\/63 + 5 - (-40)\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/21)\/(-2*(-308)\/(-1320))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*d + 54*d - 9063 = -239*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 160267.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*g + 7*g**2 + 14*g - 6*g**2 as d*g**2 + m*g + a and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -866082 and -865713 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/996 and -41\/996.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176467672?\nAnswer: 2, 79, 279221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590.509192 rounded to the nearest 100?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5\/3 - 331*o**4\/3 - 7261*o**3\/3 - 16084*o**2\/3 + 30080*o\/3 - 6400\/3 = 0 for o.\nAnswer: -40, -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/3867 + 119899\/42537. What is the common denominator of -5*(284\/(-140) - -3) and v?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 565.3084 millilitres?\nAnswer: 0.5653084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 2 - 1)*(-4*i + 4*i + 2*i) + (-5 + 3 + 1)*(2*i + 0*i - i))*(23*i + 12*i - 7*i).\nAnswer: 308*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 189 - 181*t**3 + 183*t**3.\nAnswer: 2*t**3 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, n: 15}. What is prob of picking 2 n and 1 j?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*s**2 + 197474*s\/3 + 23510\/3.\nAnswer: -2*(s - 2351)*(42*s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3, 2*d + 1 = -3*f + 2. Let x(t) = 5*t**2 + 69*t - 9. Let g be x(-14). Suppose g*r - 3*r = -y + 89, 0 = -2*y - d*r + 178. Is 25 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 20662?\nAnswer: -3\/20662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 3*g. Suppose 6*x - 2*x + w - 21 = g, -3*x + 16 = w. Let t(z) = 7*z - x*z**2 - 8*z**2 + z**3 + 3*z**2 - 14 - 5*z. Calculate t(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 629*f**2 + 159*f - 19. Does 11 divide t(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 90 (b) -6\/5 (c) -0.5 (d) 0.09 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448679 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: Let g be (-391060)\/(-112) - 2\/8. Suppose 4*w - f + 0*f = 13952, -3*f - 6966 = -2*w. Let o = w - g. What is the common denominator of o and 43\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 18. Let a = z - 13. Suppose 9 + 3 = a*o. Solve s = o*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 606.2?\nAnswer: 606.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 7\/5*c**5 + 4\/3*c**3 + 0*c**4 + 0*c**2 + 0*c - 5. What is the third derivative of b(x) wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -10*z - 84. Let l = z - -28. Let i = -13 + l. Which is the biggest value? (a) i (b) 2\/7 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*j**2*p**3 + 5*j**2 - 26118*j - 464*p**3 wrt p.\nAnswer: -246*j**2*p**2 - 1392*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*l = 96*l - 75. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25716.8626 rounded to the nearest ten?\nAnswer: 25720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.04 + 3. What is the closest to 0 in q, -3\/2, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 17*z + 1. Find the common denominator of 56\/5 and h(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/3420 + u**5\/570 + 2*u**4\/57 + 11*u**3\/6 + u**2 + 5. Let n(w) be the first derivative of m(w). Let n(d) = 0. What is d?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 1, j: 2}. What is prob of sequence gm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 + 108*g**3 + 1596*g**2 + 2852*g + 1368 = 0.\nAnswer: -9, -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = -3*s, -5*s - 2 = -3*f + 3. Suppose f*y - 25 = -0*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24360 and 1682.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from hxuuhwuduuuuhwdxhhu.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.057 + 0.41. Let w = s - 0.867. Let v = 3.1 - 3. What is the nearest to v in 2\/3, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16595*k - 16480*k = 2152 + 3138 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6932880 by -72.\nAnswer: 96290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-11 - -7))\/(-2). Suppose 6*a - a = l - 49, x = 5*a - 10. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwz when three letters picked without replacement from zwwzzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -399 + 166*d - 4*d - 144*d as j*d + p and give p.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.85 and -0.063?\nAnswer: -0.05355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 1, z: 2, x: 1}. Give prob of picking 1 z and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -286, -277, -252, -205, -130, -21, 128?\n\"Answer: b**3 + 2*b**2 - 4*b - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 39*g - 37. Let s be 2\/(-5) - 22\/(-5). Suppose 0 = g*p - p - s. Calculate the least common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359 - 3227\/9. Let r = -54871\/32919 - -2\/10973. Which is the nearest to f? (a) r (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3448 in 3\/23, 1, -3, -2\/11, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-72) - ((-43)\/9 + 2). Let t(b) = 7*b**3 - 2*b - 3. Let f(l) = 15*l**3 - 5*l - 7. Suppose 550 = -10*q + 480. What is m*f(r) + q*t(r)?\nAnswer: -4*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -297, -399, -505, -615, -729, -847?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*q**6 + 500*q**4 - q**2 + 2379*q - 1 wrt q?\nAnswer: 1200*q**3 + 12000*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/15 (b) 37 (c) -0.5 (d) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(12\/(-9)*((35\/10)\/7)\/1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 11*s + 2 = 2. Determine p, given that 0 + s*p**2 + 0*p + 3\/4*p**4 - 1\/4*p**5 - 1\/2*p**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3*o - 15*k**3*x - 189*k**3 + 40582*k**2*o*x - k**2*o + 44*k - 2 wrt x?\nAnswer: -15*k**3 + 40582*k**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 230 - 29 - 99 = 0. Solve 4\/7 + 12\/7*d**t + 26\/7*d = 0.\nAnswer: -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m**3 + m. Let v be q(-1). Let o = v - -20. Suppose o*k = h - 28, -2*k = -h - k + 16. Calculate the least common multiple of h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(150)*-2*-2)\/(((-2*sqrt(108) + sqrt(108))*-1)\/sqrt(9)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/(4*1\/(-4))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 48\/5 of a minute?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - sqrt(252)*1)\/sqrt(12))\/(sqrt(3) - sqrt(12)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1802*x**2 - 7*x**3 + 1802*x**2 + 8*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Suppose 2*v - 82 - 34 = g. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:53 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850*q + 133*q - 112*q = -61841 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279201 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let f(t) = 669*t**2. Calculate f(r(u)).\nAnswer: 2676*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43350787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9 + 18\/(-81))*9\/24\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-2 + 1)*8) + 9496256\/3584. Do q and 2651 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, d: 1, n: 4}. What is prob of picking 1 d and 2 n?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.54660127 to two decimal places.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -1011?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1639*v**2 + 3290*v - 24.\nAnswer: -(v - 2)*(1639*v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-115)\/(-195)*-9 - -5. Do u and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 3. Let v be m(0). Suppose -3*j = -7*j + 52. Suppose 0 = -2*b + 3 + j. Solve -v*f - b = -4*y, -10*y = f - 5*y - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) -3 (d) 82 (e) -6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39946\/47 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137 + 3*f**5 - 137 + f**4.\nAnswer: f**4*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 66*b**3 + 147 + 143 - 453 + 88*b**3.\nAnswer: 154*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111110010 (base 2) to base 3.\nAnswer: 20022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2694692 or 2694688?\nAnswer: 2694688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 936\/26 + 2 + 7 + -12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24*t**2 + 853*t + 83. Calculate k(-36).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**2 + 12*t - 6. Calculate m(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 15. Let c = y - 7. Solve -w = q + 5, w + c*q = -0*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, -4\/29 in descending order.\nAnswer: -4\/29, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356460875 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3834 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 3247921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + a - 17 = -3*n, 5*a = 2*n + 17. Let y(d) = 3*d**3 + 2*d**2 - 23*d + 25*d + n - 6*d**2. Let p(w) = -w**3 + w**2 - w - 1. Give -4*p(x) - y(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - u + 241 = -10*x, 204 = 4*x - 2*u. Suppose x = 17*i - 19. Factor 0 + 0*t**2 + 0*t + 4\/3*t**i - 8\/3*t**3.\nAnswer: 4*t**3*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8488 - -110365\/13. What is the third biggest value in 3\/2, j, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 - d**2 + 0*d**2)*(-61 - 67 - 113 + 48) as g + c*d**2 + o*d and give c.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 37*p**4 + 18*p**4 - 4*p**2 - 13*p + 20*p**4 + p**3 to j*p**4 + q + o*p + k*p**2 + u*p**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*x + 829 = 2*x, 3*i + 4*x = 1218. Suppose 0 = 18*m - 8*m - i. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {y: 2, d: 3, w: 3, k: 2, p: 1, j: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36\/18139 - 1847303\/7690936. Find the common denominator of 5\/32 and b.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from jjyjwjwwujwjywujdj?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 2*n. Let t(c) be the first derivative of -2 + 3\/2*c**2 + 2*c**3 + 0*c. Let g be (-1 + 6\/24)\/(((-25)\/20)\/(-5)). What is g*o(b) - 2*t(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -180889451007 and -186.7.\nAnswer: -180889451193.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (110\/(-8) - -2)\/(6\/(-48)). Let d(o) = o + 13. Let r be d(-11). Suppose 0 = 4*m + 2*n - 179 - 39, r*m - 4*n - q = 0. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*u**2 + 142*u**2 - 59*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -176488?\nAnswer: -23\/176488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3775, 15228, 34355, 61156?\nAnswer: 95631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122430, -489856, -1102234, -1959564, -3061846, -4409080?\nAnswer: -6001266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 313130211 (base 5) to base 3\nAnswer: 2110010220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqq when four letters picked without replacement from {q: 5, v: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299311289 to the nearest integer?\nAnswer: 17301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 15773 (c) -5 (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, 2\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 316, 361, 442, 565, 736?\n\"Answer: o**3 + 12*o**2 + 2*o + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 k when four letters picked without replacement from kxkxkxkxkkkkkk.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = 14. Suppose -45 = -3*t - 4*j, 5*j + 25 + 4 = x*t. Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4388.172mg to grams.\nAnswer: 4.388172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200881 - 867119. What is u rounded to the nearest ten thousand?\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let x = 7 + m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*p + 492 = -3772 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199 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: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from {e: 4, u: 4, k: 1, o: 1, l: 2, d: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - 13508\/(-154). Suppose 284 = 14*i + n. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150891647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (3 + -4 + -2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000318377 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 13*f**8\/336 + f**5\/5 - 8*f**2. What is the third derivative of x(z) wrt z?\nAnswer: 780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f. Let j(h) = h. Determine -6*c(d) + 26*j(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 - 175 + 142*k**4 - 140*k**4 + 9 - 3*k**4 + k - k + (-1 + 1 + k)*(2*k**3 - 2*k**2 + 2*k**2).\nAnswer: k**4 + 2*k**3 - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(3) + sqrt(7) - sqrt(14)\/(sqrt(4)\/sqrt(2)))*6.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576 divided by 4?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 18. Let l be f(12). Let k be (-4)\/l + (-104)\/(-12). What are the prime factors of (2\/k)\/((-3)\/(-4944)*4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**3\/3 + k**2 - 74*k - 79. Let d(l) be the first derivative of q(l). Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 8 = -3*m. Suppose 3 = m*d - 1. Solve 0 = k - 3*k - d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 + 2 = 0. Solve 5 = -i*j + 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 5:47 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u + 7. Let s be t(-5). What is the second derivative of 6*m - 2*m**2 + 2*m**s + 5*m**5 wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -29, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*y + 142*y - 245*y - 836 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0450012 + 0.045. What is z rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -15\/4 (c) -5 (d) -7 (e) 5\/7 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4511847 from 44741.\nAnswer: 4556588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) -1\/5 (b) -5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 17\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(175) + sqrt(175))*-2 + sqrt(175) + -4*sqrt(175) + 0)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -217063 != -216921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -50842926 divided by 69\nAnswer: -736854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8*(-6)\/9. Let y = -11\/7 + 13\/7. Let d be ((-8)\/24)\/(2\/6). Which is the nearest to y? (a) n (b) d (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14582 = -422*o - 105*o - 5302 - 42829 for o.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 16*i - 5*j = 23*i + 177, -i - 39 = 19*j - 23*j for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34097 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d - 216 - 130 - 606 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let j = -0.6 - g. Let p = 2.7 - j. Which is the second smallest value? (a) 1\/2 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 4, r: 1, s: 5, z: 3, c: 1}. Give prob of sequence su.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1599*w = 151*w + 24037 - 52548 - 25065 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6602 - 4099. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/9*(-18)\/(-4). Which is smaller: y or 16\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -703248 divided by 147.\nAnswer: -4784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -13*z**4\/6 + 5*z**3\/6 + 12*z**2. Does 36 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282?\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126542044 (base 7) in base 9?\nAnswer: 16405837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 346446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 226.5? (a) -0.1 (b) 4 (c) -2\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197681.\nAnswer: 11, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5268*i**2*m**2*p**2 + i**2*m*p + 1618*i*m**2*p**2 - 4*i*m*p - 43*i*p**2 + 3*i*p - 27*m*p**2 - 3*p**2 wrt m.\nAnswer: 10536*i**2*p**2 + 3236*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let k(n) = -20*n + 166. Let u(a) = 26*a - 220. Let l(j) = 9*k(j) + 7*u(j). Calculate x(l(d)).\nAnswer: -4*d**2 + 184*d - 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146000, -145718, -145432, -145142?\n\"Answer: 2*x**2 + 276*x - 146278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3567126888 rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5167 = 22*w - 5388 - 40545. What is the highest common factor of 34 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 21*i + 30 - 11 - 11 as n*i + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let v(j) = 2*j - 3. Let c(i) = -7*h(i) - 4*v(i). Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2067246*q - 2069175*q = -111882 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 21. Let w be -4 + v + (-1072)\/(-16). Suppose 5*r - 4*h - w - 118 = 0, 4*r - h - 139 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148*g - 160 wrt g?\nAnswer: -148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.91 + -16. Let s = 31 + -30.84. Let o = t + s. Put 4\/9, o, -4\/3 in increasing order.\nAnswer: -4\/3, o, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53986*g*w + 27*g - 491*w**3 - 8976105 wrt w.\nAnswer: -53986*g - 1473*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -27\/64, -7308?\nAnswer: -7308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + k + 0 - 17 = 0, 4*q = k - 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2992376 divided by -1496188.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -34. Suppose 4*u = w + 58, -u - p*w = -4 - 6. Calculate the greatest common divisor of u and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:01 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:25 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v**2. Let f(g) = -g**2 + 14*g - 11. Let i be f(13). Let c(b) = 4*b**2 + 5 - 5 - 3*b**i. Calculate c(p(t)).\nAnswer: 225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 360195 to the power of 1\/2, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 729*k**2 - 40005*k + 635775.\nAnswer: -3*(k - 173)*(k - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**4\/8 + 15*l**3\/2 + 2*l**2 + 12*l. Let y be f(-13). Solve y*u = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + c**2 - 2*c**2 + c**2 - 2 + 2 + (-4*c - c + 3*c)*(-2*c + c + 4*c) - 2*c**2 + 5*c**2 - c**2 to q + o*c + v*c**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151.6 - 7.6. Let m = f - 100. Let b = 44.00037 - m. Round b to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 2*z + 43 = 0, -z = -5*i + 2*z - 39 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-215146)\/(-14784) - (-30)\/(-21) - 13 and -151\/54.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from {d: 3, v: 9, l: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -804 at least -804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -430\/9 - -869\/18. What is the second smallest value in -1\/2, z, 25, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 26\/10 - 21\/(-40)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaapap. Give prob of sequence aap.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*p = 3*c - 14, -3*p + 22 = -5*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkxmxfu. Give prob of picking 1 m and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649 rounded to the nearest ten?\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17563 is divided by 5822?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2666207?\nAnswer: 151, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*b**2 - 1 + (0*b**2 + b**2 - 2*b**2)*(2 + 3 + 3) + (-2*b + 8*b - 3*b)*(-1 + 1 - 2*b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q. Suppose 3*f - 9*t = -7*t + 185, -2*f + 98 = 5*t. Let d(l) = -31*l**2 - 29*l**2 + f*l**2. Calculate u(d(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 35. Let c(p) = p**3 - 7*p**2 + 9*p + 8. Let t be c(5). Suppose 0 = -t*x + x - 18. Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 25*b**2 + 48 - 7*b**2.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 166377*q - 6 - 166381*q - 121 - 40 - 35 in the form u*q + t and give t.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 11*i**2 + 6*i - 1. Let j(y) = -y**3 - 10*y**2 + 7*y - 2. Let c(k) = -3*j(k) + 2*r(k). What is the lowest common multiple of 14 and c(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -25, -23, -21, -19, -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144470 is divided by 1720.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 3)*(0*x + 4*x - x)*(0 - 1 + 3)*(6 + 3 + 2).\nAnswer: 462*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-25) - (-931)\/(-1165). Is 1 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.004 - -61.996. Let p = y - 61.7. What is the fourth biggest value in p, 5, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2 and 3*17\/12*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 6 = 3*l, 3*v + 19 = -5*l - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -445*x**3 + 445*x**3 + 1 + 8*x**4 - 2*x + 3*x**2 - 2*x**4 in the form r + v*x**4 + p*x + m*x**3 + w*x**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2*a - 833 = -796, -5*a = -5*i - 75 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.21737 and -0.1.\nAnswer: -0.31737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/40 + (-8*7254\/(-864))\/((-4)\/3).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2. Let k(i) = -5*i**2. Let b(q) = 8*g(q) + 5*k(q). Let n(u) be the first derivative of 0*u + 2 + 5\/3*u**3 + 0*u**2. What is b(n(w))?\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*h**2 + 570*h - 36844 wrt h?\nAnswer: -22*h + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-113 - -4)*(-3)\/3 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1736 - -25.\nAnswer: 25.1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 5*r**3\/3 - 5*r**2 + 1003*r - 66. What is the first derivative of q(d) wrt d?\nAnswer: 10*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4\/14441961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1853*g**2 + 1853*g**2 - 18214*g**3.\nAnswer: -18214*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 3. Let l = -177 - -181. Determine x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-1)\/2*2. Suppose o = 4*f + 2*a - 2, f + 13 = 3*f - 3*a. Solve -17 = -5*r + q, r + 2*r - 5 = -f*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 q, and 2 h when four letters picked without replacement from {r: 3, c: 1, o: 4, q: 4, h: 2}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 + 2*q**2)*(-40*q**2 - 143*q**2 + 5*q**2).\nAnswer: -534*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) + 2359\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2480 and 39184.\nAnswer: 195920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*a**4 + 3*a**2*g - a*g - 8*a - 20119*g wrt a?\nAnswer: 176*a**3 + 6*a*g - g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 41 + 515*g**3 + 516*g**3 - 1035*g**3.\nAnswer: -4*g**3 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -193288992.\nAnswer: 193288992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10967779 to the nearest integer?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*u**2 - 111*u**2 - 901*u**2.\nAnswer: -772*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(128) - (sqrt(128) + 0 + 1)) - (sqrt(128) - -5*2*sqrt(128))*3)**2.\nAnswer: -2112*sqrt(2) + 139408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 808*x - 14 = -814*x, -14 = -3*u - 5*x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**30)**(-2\/83) assuming n is positive.\nAnswer: n**(-60\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:24 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 6:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2019160?\nAnswer: 1\/504790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 1, i: 3}. What is prob of picking 1 i and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let g be (-4)\/12*4\/(-6). Let u = -2 - -1.9. Which is the nearest to u? (a) x (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-9*d + 18*d + 0*d + (-4 + 3 + 0)*(d - 2*d - 2*d)) as w + x*d and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*81\/(-4239)*42\/1071*17.\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1778, 32 in increasing order.\nAnswer: -1778, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.55318631472 - 0.08\nAnswer: 1.47318631472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 361 = -2*z, -4*t + 6*z - 5*z + 1423 = 0. Calculate the greatest common divisor of t and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524816092 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10750995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*l - 4*l. Solve -2*y + 4*w + 1 - 7 = 0, -y - 5*w + l = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 3*k + 2. Let z be u(0). Solve 0*b - z*b = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384644?\nAnswer: 2, 31, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*l = -12, -4*l - 134 + 125 = -3*c. Solve -2*w = 2*v - 3 + 7, 2*w + 9 = -c*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-3)*66795\/6570\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2442165367, -2442165366, -2442165365?\n\"Answer: l - 2442165368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27431 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 347631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -64. Suppose -m = 5*b + 10. Let c(o) = -o - 2. Let a be c(b). Solve -9 = s + 2*q + 3*q, 2*s + a = -q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.045 + 0.045. Let y = 5 - c. Let o = y - 51.31. What is o rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 767503011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 + 12*a - 2. Let r(k) = -4*k**2 + 6*k - 1. Calculate 11*r(f) - 6*s(f).\nAnswer: -2*f**2 - 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 - -5. Sort q, 4, 3 in descending order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 1 - 6\/4. Let a = 1.685 + 1.348. Let y = -0.033 + a. What is the second smallest value in y, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/26579 and -7\/216429.\nAnswer: 1515003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 28*z - 52. Let g be o(4). Let k be 10\/(-4)*(-16)\/60. Which is the nearest to k? (a) 5 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5, y - 359*z - 10 = -361*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*d, -8 = -z - 2*d + 2. Let c = 303 + -211. Let v be 42*(70\/455 - c\/(-78)). Calculate the highest common factor of v and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/34? (a) -3 (b) 0.105 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 125*d + 125*d + 6*d**3.\nAnswer: 6*d**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 1. Let z(v) = -2*v - a*v - 4*v**2 + 5*v**2 - 4. Let k = 4863 + -4857. Calculate z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -768*i**3*y - i**2*y - 9*i*k*y + 290*k*y + 2*y - 22 wrt i.\nAnswer: -2304*i**2*y - 2*i*y - 9*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 88867460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmnnnnnmnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, -98.8, 719 in decreasing order.\nAnswer: 719, 1\/5, -5, -98.8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -539331, -1078670, -1618021, -2157390, -2696783, -3236206?\n\"Answer: -j**3 - 539332*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = 0, 4*f + 13 = -3*m + 6*m. Let v(h) = -h**3 + h**2 + 1. Let u(g) = g**3 - 6*g**2. What is m*u(x) - 3*v(x)?\nAnswer: 2*x**3 + 3*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) 3\/7 (c) -29 (d) -1832.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:20 PM?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110120310 - 111?\nAnswer: 1110120133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9700616ng in milligrams?\nAnswer: 0.0000009700616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181175475.\nAnswer: 3, 5, 13, 185821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - o + 361, 3*w - 3*o - 18 = 234. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 25 - 63. Let l = g - -44. Suppose -59 = -u + 2*v + 47, l = 2*u + 5*v - 230. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207 < 4195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 - 1 - 30 = -30*n. Let i be (-8)\/32 + 5223\/12. What is the greatest common divisor of n and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -512 less than 51477445?\nAnswer: 51477957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115710 is divided by 989.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 17*t**2 - 60*t + 6. Let u be w(-20). Let m(l) = l**2 + 3*l + 2. Let s be m(4). What is the highest common factor of s and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 601 + -600.99806. What is d rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y**2 - 78064*y**3 + 39027*y**3 + 39049*y**3 + 50*y**2.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -178.387? (a) 4\/3 (b) -147\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 4, 0.05, 29\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142640 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 26081050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6860696 divided by 4?\nAnswer: -1715174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 1. Let n be g(1). Let j(b) = -17331 + b**2 - 17339 - 7*b + 34675. Determine j(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.25 + -1.25. Let k = p + -90. Sort k, 4, -0.1, 1 in descending order.\nAnswer: 4, 1, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 2*j + 2 + 0*j**2 + 1\/4*j**4 + 0*j**3. Differentiate z(t) wrt t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2 + 6 - b**2 + 2*b**2 - 6*b. Let a = -10 + 15. Let r be p(a). Solve -4*q - r*j = j + 4, -2*q + 3*j - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 - 29715*x**2 - 38547*x?\nAnswer: 20*x**3 - 59430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-19)\/c*c)\/c)\/(c**(3\/8)*c)*(c\/c**(-26))\/(c\/(c**(-2\/7)\/c)) assuming c is positive.\nAnswer: c**(299\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 10:51 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 + (0 - -5)*-502). Suppose -10*r + b = -4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - x**2 - 2*x - 5. Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 150648*d*o**2 + 2*d*o + 35631768*d - 90*o**2 + o wrt o.\nAnswer: 301296*d*o + 2*d - 180*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-910))\/((-3)\/(-16)*12\/(-18))*30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305.\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/7 - 153*s**2\/7 + 4549*s\/7 - 2685 = 0. What is s?\nAnswer: -179, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -58. Is -20 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115935097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r. Suppose -3*t + 59 - 20 = r. Let m = -75 + 75. Solve m = 4*j - 5*n + 5, 2*n = 2*j + 3*n + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 9*g**2 + 11*g - 12. Let s = -13 + 21. What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*p + 5*p. Which is bigger: p or -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 7 + 0*q + 0*q. List the prime factors of a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 235*c - 3109. Let q be t(19). Which is smaller: q or 4070\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.5 + -1.5. Let x = 13 - 7. Let y = x + k. Which is the nearest to 1\/3? (a) 3\/7 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3872*y**2 + 0 + 1\/2*y**4 + 88*y**3 + 0*y.\nAnswer: y**2*(y + 88)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 107. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 30*o - 1. Let r(d) = -1. Determine -a(k) + 3*r(k).\nAnswer: -k**2 + 30*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + 79. Let t = 148.99101 - b. What is t rounded to 4 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 14*r - 85. Suppose -4*b = -33 - 39. Let y = b - r. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v - 201*v**3 - v + 8631 - 8441 wrt v.\nAnswer: -603*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) + (-4)\/18. Solve 3*l - o = -8, j*l = -2*l - 5*o + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4724 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*b = 1441*b + 1030 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + ((-6910)\/420 - -31 - 2\/42)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 412 = 5*p - 663, y + 641 = 3*p. Suppose -26 = -4*n + p. Let w = 16 + -1. Calculate the greatest common factor of w and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 10*z**2 - z - 6*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -24*j. Let u(g) = -82811706*g. Calculate i(u(s)).\nAnswer: 1987480944*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rraa when four letters picked without replacement from {b: 4, r: 10, a: 2}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, 0.2, 12.7?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 0.04033?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 3 + 814*l**2 - 812*l**2 to u + p*l**2 + g*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885002059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -282103 at most as big as -282469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:20 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -59, 1, -0.2, 0.5, -2, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.091656 to two decimal places.\nAnswer: 5.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.31. Suppose -3*u + 2*p = 17, -2*p = 2*u - 4*u - 14. Let r be (-2)\/(-7) + u\/(-63). Which is the smallest value? (a) r (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(5\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4222, -14244, -30914, -54214, -84126?\nAnswer: -120632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (0 - (3 + -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 + 27018*u**2\/7 - 54027*u\/7 + 27012\/7.\nAnswer: -3*(u - 9004)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -369, -186, 119, 546, 1095, 1766?\n\"Answer: 61*s**2 - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -2.95. Let i = f + -2.5. Let k = 0 - -4. Sort k, i, 0.2.\nAnswer: 0.2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.4, -398, -83.801?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/19)*c\/(c\/(c**(2\/7)\/c))*(c**(-1\/3))**(2\/83)*c\/(c**(-6)*c)*c**(1\/6)*c**(1\/2)*c**(3\/7) assuming c is positive.\nAnswer: c**(207566\/33117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (1562 - -1)\/(46 - 43). Suppose -8*l = -d - 1914. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.1, 0.3, 3\/8, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 51 - 47. Calculate the remainder when 72 is divided by d - (-5 + 6 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.7. Suppose -b + 3*d + 35 = 0, -3*d = -2*b - 6*d + 52. Suppose 4*c + 3*y + b = 0, 7 = -c - 5*y - 13. Sort 2\/7, c, n in ascending order.\nAnswer: c, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + g**2 + 2*g + 2. Suppose -4*n - 3 - 1 = 0. Let w be c(n). What is t in w*t**3 - 3 - t**2 + 2*t**3 + 7 - 4*t - 5*t**3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 167565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.662mm in micrometers?\nAnswer: 960662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 47 = 3*c. Let h = -7 - c. Let v be (-5)\/(10\/h)*3. Which is smaller: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0909824 - -0.03497. Let g = 0.056 + t. What is g rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*l + 52. Which is the biggest value? (a) 2 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 26*v**2 - 69*v - 41. Calculate i(-10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:59 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 372 + -3?\nAnswer: 36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -27*r + 327. Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7018901131.\nAnswer: 11, 19, 149, 263, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 547925 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:07 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1957 + 2067. Are 109 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 3398*n + 449874. Calculate r(138).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 39*b**2 + 179*b + 1459. Determine h(43).\nAnswer: 1760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogdoidodoodoo. Give prob of sequence iod.\nAnswer: 7\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/(o*o*(((o*o\/o**(2\/7))\/o)\/o)\/o))\/(o**(2\/7)*o))\/((o\/o**(-3))\/(((o**6*o)\/o)\/o)))**(1\/40))**(3\/7) assuming o is positive.\nAnswer: o**(3\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -27 - (4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 7 + 8)*(3*t**3 - 2*t + 2*t).\nAnswer: 105*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -36*k. Let m(w) = -17280*w + 2. Give f(m(s)).\nAnswer: 622080*s - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121102 (base 4) in base 15?\nAnswer: 1a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*p = 1, -3*a - a + 5*p = -4. Let f = 79.883 + -74.883. What is the second biggest value in a, f, 0.4, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7 - 3*m**2 - 9*m**2 - 4*m**2 + 9*m**2. Let n(j) be the first derivative of 2*j**3\/3 - 2*j - 1. What is 6*c(u) + 22*n(u)?\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401869319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = 3*l - 9, -2*l = 2*u - 4. Let m be 1 + 5 + (3 - 7). Suppose w - m*w = u. Solve w = -5*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -3 - (sqrt(11) - sqrt(176))*-6)**2.\nAnswer: 78*sqrt(11) + 1868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (49\/((-5488)\/84))\/(6\/4). Is d greater than -3127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1974, 3705, 5446, 7203, 8982, 10789, 12630, 14511?\nAnswer: 16438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + (-117)\/(-15))\/(2\/(-10)). Let o = -9 + 5. Sort 2, i, o in descending order.\nAnswer: 2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1)\/(1\/6). Suppose -4*z = -u - 0. Suppose 2*n - 36 = -n. Calculate the highest common divisor of n and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*v, 0 = -3*y - v + 353 + 64. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 671427715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose -4*i - 32 = -3*d, 7 = d - n*i - 3. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 145 = 34*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 14*p + 15. Let j be m(-15). Suppose 0 = 3*y + 4*l - j - 4, -l = -y - 1. Solve 3*w - c + y*c = -1, 2*w - 3 = -3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (-2 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-19\/2)*x**(-20))\/((x*x**(2\/7)*x)\/(x**(-17)\/x)))**(-2\/149) assuming x is positive.\nAnswer: x**(697\/1043)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:57 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 27 + 45 = 0. Let a = b - 14. Calculate the least common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -316732745 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185203.6 + -185203. Let d = 20 - 19.91. What is the second biggest value in 1, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let c(f) = 86*f**3 - 2*f**2 + 2*f - 2. Let w be c(1). Let v(s) = -88*s - 2 + w*s - 4 + s**2 + 3. Give v(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 14*t**2 + 42*t - 41. Let y be l(1). Let p(w) = 23 + w**2 + 13*w - 25 + y + 0*w**2 + 2. Give p(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(2108 + -17)*1921*((-1 - 0) + 2).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624298 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 545, -1\/7, 13, -0.1, -2.6 in descending order.\nAnswer: 545, 13, -0.1, -1\/7, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12256, -49037, -110332, -196135, -306440, -441241, -600532?\nAnswer: -784307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/17))**(-19))**(-16) assuming f is positive.\nAnswer: f**(-912\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - -926. Does 39 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -322, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.96 - 13.96. Suppose 5*x = -3*u + 35, -3*x + u = 3*u - 22. Which is the third smallest value? (a) y (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:08 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -9, 1, -5, 3387 in ascending order.\nAnswer: -9, -5, -3, 0, 1, 3387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91923 is divided by 2418?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqqqqqqqbqqqqqqq.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 508602 times -0.6\nAnswer: -305161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 436556721?\nAnswer: -436556722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 3 + 0)\/(-4 - -3). Suppose -2*b + 11 - 5 = v. Suppose -2*o - b*k + 0*k - 1 = 0, -5*o = 4*k - 8. Solve h + o = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4)*(-13 + 7). Let t(f) = -f**2 + 15*f + 4. Let q be t(k). Calculate the highest common divisor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 826, 1582, 2258, 2854, 3370, 3806?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009613 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135760 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Let q be (-4)\/(1*m\/(-6)). Suppose -3 + q = f. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/3))**(-19\/4))**(-9\/10))**(-44) assuming l is positive.\nAnswer: l**(-627\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.1 + -4.08. Let l = f + -35.02. Let w = 35.00023 + l. Round w to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2556*p = 2497*p - 354 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*i = -12, 0 = -5*t + 3*t - 4*i - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30666016 (base 7) in base 16?\nAnswer: 277d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q**3 - 6*q*t**2 - 128*t**2 + t with respect to q.\nAnswer: -15*q**2 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a4 - -5?\nAnswer: 16a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*y**2 + 416025\/7 - 1290\/7*y = 0. Calculate y.\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 7. Let p be d(8). Calculate the least common multiple of 2 + p*(2 + 7) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -103322?\nAnswer: -103312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2691 + 2386. Which is greater: f or -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) 9\/5 (b) 4 (c) -87 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105090 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 9*s**2 - 10*s - 8. Calculate n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755248934 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/94 and ((-84)\/8 - 5)\/(-7)?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3516434 millennia in decades?\nAnswer: 35.16434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7377, 29497, 66327, 117867, 184117?\nAnswer: 265077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 4*t = -35*t - 1222 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - -428)\/(((-48)\/(-6))\/24). Calculate the greatest common divisor of l and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4905\/654*(1 - (-42)\/(-50)). What is the second smallest value in g, 8, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 3*z**3 + 8965*z**2 - 13250*z**2 + 2*z + 4285*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 39973*r**2 + 7*r - 9. Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11743*v - 182. Let r(y) = -7964690*y + 123438. What is -8817*b(d) - 13*r(d)?\nAnswer: 2939*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, r: 4, y: 8}. Give prob of sequence sysr.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 16 = 0. Let u(y) = y - 8. Let m be u(w). Let j(l) = l**2 - 6*l - 5. What is the tens digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 696*z**2 - 1. Let l(t) = -886*t. Calculate d(l(y)).\nAnswer: 546357216*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*y - 4 - 14 + 28*y)*(4 - 3 - 2).\nAnswer: -y + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/5)\/b*b*b*b*(b**12*b)\/b*(b\/(b*(b*b**(1\/3))\/b))\/(b**5*b))**42 assuming b is positive.\nAnswer: b**(1778\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {a: 5, v: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuujuujuu. What is prob of picking 1 u and 2 j?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, q: 4, z: 2, m: 1, v: 2, a: 3}. Give prob of sequence hhqm.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v. Let k = 150 - 138. What is the hundreds digit of z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164\/43 + 734\/215. What is the third biggest value in 3, 61, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + i - 1. Let t(p) = -5*p**2 + 2*p - 2. Let h(c) = 6*l(c) - 3*t(c). Calculate h(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from xoxxxox?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.4099 litres to millilitres.\nAnswer: 463409.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 - 134*g**2 - 32*g**2 + 16*g**2.\nAnswer: -176*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.303 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -69?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2530 and -7\/2454100.\nAnswer: 2454100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(2\/43))\/j*j*j*j\/(j\/(j*j*j*j\/(j*j**(-2\/7)*j)*j*j)))**(1\/16))**(-11) assuming j is positive.\nAnswer: j**(-10329\/2408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 + -9 + (0 - 1). Let t = n - 2. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*-40*35\/3360*8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f*f*f*f**(-3\/5)*f*f*f*f)\/(f*f**3)**41 assuming f is positive.\nAnswer: f**(-803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 37. Let c be j(10). Solve -3*x - c*n = 0, -2*x - 3*x - n = 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 41645348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45781 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.19*1.53.\nAnswer: -15.5907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*d + 58*d**2 - 29*d - 48 + 81*d - 2*d**5 - 34*d wrt d?\nAnswer: -40*d**3 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 50.22. Let c = -18808224 - -18808225.2199931. Let n = r - c. Round n to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 - -0.04. Let h be (-2)\/(-4)*(3 - 1). What is the nearest to n in h, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000000100100101101 (base 2) in base 16?\nAnswer: 8092d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2060 and 40?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116340 by 20.\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + d - 106 = 0, 2*o - 4*d - 37 = d. Calculate the highest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28839 - 113039. What is x rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q + 0 + 53 + 49 = 0. Suppose -4*r - a - 4*a = -108, 0 = 2*a. Calculate the remainder when r is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12939*j = 14223*j + 39804 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 724 = 581. Let m = 326 + y. What is the greatest common divisor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 22 + 22*z + 2*z**2 + 23 - 22 + 16 + 10. What is the tens digit of n(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -702*l + 65. Let r(f) = 703*f - 68. Let v(i) = 5*j(i) + 6*r(i). Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:19 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 - 778.\nAnswer: -777.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + k - 72 = 0, -2*h + 141 = -0*k - k. Suppose -4 - h = l. Calculate the common denominator of 2 + l\/42 - 3 and 101\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7520522567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 227030 to the nearest 100.\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001101001011010 - 10?\nAnswer: 10011001101001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 369.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = p - 29 - 37, -3*q + 150 = 3*p. Let c be ((-6)\/4)\/((-3)\/8). Solve -o = -x, -4*o = c*x - 14 + p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 637 divided by 1479\nAnswer: 637\/1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -0.2, 11\/2, -0.5, 0 in decreasing order.\nAnswer: 11\/2, 0, -0.2, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02393 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154279663 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 103120 = -5*u, 3*x - 82629 = -3*u - 20787. What are the prime factors of u?\nAnswer: 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590954494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 40 = 4*z, -2*q - 3*z + 23396 = 23400 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(((-532)\/(-6916))\/(1*(-6)\/39)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003573 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 3, g: 6, b: 2, i: 2, w: 4}. What is prob of picking 2 b and 1 w?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 884 and 520?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/20 + a**4\/12 - a**2 + 3*a + 6. Suppose v + 0*v + 4 = 0. Let z = -4 - v. Calculate r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4) + -2)*(-14)\/21. Let r(u) = 114*u + 2. List the prime factors of r(f).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 69*g**2 - 401*g + 723. Determine s(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -20.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 8*v - 18. Let l be k(10). Calculate the greatest common factor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(8\/7))**(11\/7)*(t\/(t\/t**(1\/11)))\/t**(2\/37) assuming t is positive.\nAnswer: t**(27597\/19943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h + 4. Let m be l(-1). Let i be 12\/(-2)*1\/(-2). Suppose 7*k - 2*k - m = -5*x, -2*k - 9 = -i*x. Solve -12 + x = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81 - 1 - -49) + 30\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1103725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 0*h)*(5*h + h + 5*h)*(-2 + 1 + 4) + (0*h + 0*h - h)*(16*h + 11*h - 63*h).\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = -g, 2*k - 31 = g + 4*g. Suppose -5*t - 110 = -k*q + q, 4*t = q - 55. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*v + 2*m + 57, -5*m = 2*v - 23. Let j = 6941\/2778 - -2\/1389. What is the third smallest value in j, -3, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33012 and 230298.\nAnswer: 9672516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*p**5\/7 + 321711*p**4\/7 + 3821886*p**3\/7 + 14949576*p**2\/7 + 18561696*p\/7 - 392832 = 0. Calculate p.\nAnswer: -4, 2\/15, 7161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*r - 7. Suppose -r*s = -4*s. Suppose -5*g - h + 7 = 0, -h - 5 = -0*g - g. Which is the third biggest value? (a) s (b) 3\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68223, -136296, -204363, -272424, -340479?\nAnswer: -408528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h = -27*h - 165. Suppose -3*k = 0, h*r - 6 = r - 4*k. Solve j**r - 1\/2*j**2 - j + 0 + 1\/2*j**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646615 is divided by 411651?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4056 - 17036. Round k to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*u + 1197*u - 406*u - 394*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15066 and 16306?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*11\/(5775\/20)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - 21 = 0. Let l(f) = -268886*f - 6 + f**3 - f**2 + 268870*f + f**2 + 5*f**2 + 1. Give l(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w + 2*x - 44, -3*w + 3*x = -48. Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1680, 1678, 1674, 1668, 1660, 1650, 1638?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -48*m - 45. Let i be f(2). Let q be i\/(-102) - 14\/(-119). Put 0.5, q, -0.5, 0 in decreasing order.\nAnswer: q, 0.5, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135107 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27130 times -498?\nAnswer: -13510740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**2 - 25*v + 41. Let c be x(11). Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 25. Let j(k) = 5*k + 7730 - 7734 + 0*k. Let x(g) = 6*g - 5. Calculate n*j(h) - 4*x(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8475\/32 or 265?\nAnswer: 8475\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 + 2*g. Let b(u) = 2*u**2 - 26*u + 12 + 0*u**2 - 15. Let x be b(13). Let o be y(x). Solve -3*q + o*n = -6*q + 6, -n - 7 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*-4*(-12)\/(-14). What is the units digit of ((-2)\/12)\/((-4)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 1\/6, 2, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109253791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4 - 7)*(-17*f**4 + 129*f**4 - 9*f**4).\nAnswer: 618*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156810 is divided by 13065?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 1. Let o(z) = -8*z**2 - 118. Determine -2*o(q) - 14*u(q).\nAnswer: 2*q**2 + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 40019 - 40019.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -1178218?\nAnswer: -1178218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-66)\/(-9))\/((-6)\/(-85077)). Let s = 157783 - k. Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7888\/17147 + -2\/1319. Let o = 269.2 - 269.1. Which is the closest to o? (a) j (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00559340455 rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*w + 20 = 0, w + w - 10 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - l**3 + 3*l + (-3*l**2 + 44 - 44)*(-292 + 290 + 483*l + 103*l) to w*l**3 + q + y*l**2 + f*l and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 4, 0.1 in increasing order.\nAnswer: 0.1, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -198 and -0.323.\nAnswer: 63.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 - -321. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*m = -5*m - 1160, -3*m = r - 303. What is the highest common factor of r and 2425?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*v + 3 = -l, 0 = 2*l + 2*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184190000 rounded to the nearest 1000000?\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 2*r - 1 - r**3 - 2*r. Let c(v) = 4*v**3 + 5*v + 5. Let q(s) = -2*c(s) - 10*d(s). Let q(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.766 - 1.266. What is the nearest to 1 in w, 2, 8, 63\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48716 is divided by 16094?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -748 + 747 - 19*y**2 - 2*y**2 - 39*y**3 to the form c*y**2 + a*y + l + k*y**3 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/107 and -93\/8.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**1*v))\/v*v**3)\/(v*v**(-2)*v*v\/(v\/(v*v*v**10*v))) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*w + 936*w - 1873*w + 27 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 4*t**2 - 4*t + 5. Let r be i(5). Suppose -r + 5 = -u + 4*j, 3*j = 0. Solve 8 = -q + u*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -89*y**7\/30 - 149*y**4\/24 - 66*y**2 + 4. Find the second derivative of f(r) wrt r.\nAnswer: -7476*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 12 - 5 - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 - 3*b + 1. Suppose 4*d + 2*h = 38, -5*h = d - 2*h - 12. Suppose 0 = -d*g + 10*g + 3. What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -495*r**3 - 10*r**2 + 6 - 4 - 65*r + 82*r. Let k be t(14). Round k to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*352.\nAnswer: 140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-344)\/774)\/(4\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 - (-3 - -4)). Suppose -2*h - r = -h. What is the biggest value in -2, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194907.\nAnswer: 3, 64969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 - 6*j\/5 - 216\/5 = 0.\nAnswer: -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*h**2 + h + 128 wrt h?\nAnswer: 74*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/1015901?\nAnswer: -1\/1015901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.8. Let q = 0.03616 + 0.96384. Which is the second biggest value? (a) -0.2 (b) q (c) 0.03 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v**(1\/2)\/v*v)\/v)\/v))\/(v**(-1)\/v)*v**(-2)*v**(-2\/13)*((v*v\/((v*(v*(v**(-2\/9)*v)\/v)\/v)\/v))\/v**4)**(-1\/2) assuming v is positive.\nAnswer: v**(757\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -36.04. Let w = -40.6 + m. Let g = 0.3 - w. Round g to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258432474*p**4 + 4*p**2 - 1098*p - 3231 wrt p.\nAnswer: 6202379376*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 233.\nAnswer: -5126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(117\/780).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*s - 1 = -0, -2*v = s - 1. Let g(r) = 6*r + 1. What is g(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0593214 * 16.\nAnswer: 0.9491424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 4*i**2 - 3*i - 2. Let s be r(-4). Suppose y - 3*y = -s. Suppose 0 = -0*q - 5*q + y. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*-1*(((2 + sqrt(112))*-4*4)**2 - ((5 + sqrt(112) + -1 - sqrt(112)) + sqrt(112) - (sqrt(112) - (5 + sqrt(112) + 0)))**2).\nAnswer: 12072*sqrt(7) + 88509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 2*r, 0 = -p - 3*r + 12. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 4, k: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436964835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2)*-1)**2 + -1.\nAnswer: 10*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 3:35 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4869*i - 4870*i - 1 + 1 + 103*i**3 to the form k*i + o + f*i**3 + u*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l**3 + l**3)*(2*l - 4*l + 3*l) + 6645 - 6645 - 136*l**4.\nAnswer: -134*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 150\/(-4)*36\/(-30). Let n be 684\/k - (-8)\/10. Suppose -3*j - n = -130. What is the remainder when j is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503759 is divided by 45795?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 121 = -44*j + 66. Let g(u) = -6*u**3 + 3*u**2 - 3*u. Let k(x) = 19*x**3 - 8*x**2 + 8*x. Calculate j*k(v) - 8*g(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -f + 36, -25*f = -29*f - 5*j + 76. Calculate the remainder when 82 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 307, 3, 2\/9, 5 in descending order.\nAnswer: 307, 5, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 375\/4. Is -0.05 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2955 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16886.\nAnswer: 2, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*a**3 - 81*a**3 + 200*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/285 and 74\/627.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33799 or 33797?\nAnswer: 33799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + 1)*50\/100)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + x - 1, x = 1. Suppose -2*i + 7*i - 15 = d. Solve -3*g = -i*c + 18, 2*g + 20 = 5*c - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 24\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-748)\/(-33))\/((-4)\/(-6)). Let m = r + -15. Suppose -5*q + 3*y = -m, -5*q + 5*y + 9 = -16. Solve q*g + 5 = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3708)\/(-22 - -125) + (-12 + -1 - -1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 237. Solve f = -5*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193623?\nAnswer: 3, 233, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88109 = -8*t - 33*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 26*f + 78. Let v be l(-24). Let y = v - -353. List the prime factors of y.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 217 + 35. Suppose 20*m - w*m = 32. Let d(q) = 3*q**2 + 10*q + 2. Calculate d(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -18. Let h(p) = 2*p**2 + 6*p + 3. What is h(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 13 - -6 - (0 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 32 = 3*i. Suppose v - 2*v = -2*r - i, -3*v + 4*r = -22. Solve 0*j + v = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + y + 1220*y**3 - 1219*y**3 + 14*y**2 + y**4 to t*y**4 + r*y + o*y**3 + c*y**2 + f and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khy when three letters picked without replacement from {h: 1, k: 2, l: 2, e: 5, y: 1, j: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y - 29*y - 49*y + 56*y - 127*y.\nAnswer: -226*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*x - 4 = 0, 143 = p - 4*x + 135 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**4 - 1405 + 2488 - 3*i**4 - 1286 - 54*i**2 wrt i?\nAnswer: 4*i**3 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -50*i + 272. List the prime factors of j(-18).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3\/((-24)\/(-722)). Let o = w - -7127\/76. Let m = o - -901\/57. Calculate the common denominator of m and -99\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (((2 + sqrt(5) - sqrt(5)) + 1)**2 - sqrt(5)) + sqrt(5) + -1*sqrt(5) + 1.\nAnswer: -sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + f = -2*f + 12, -4*i = 4*f - 32. Solve -2 = -i*w + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.94 + -3. Let z = v + 0.12. Let q = z - -0.44. Round q to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 544.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 4:54 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 4*q + 4. Suppose 2*u + 3*j + 11 = -0*j, -3 = 3*j. Let p be w(u). Let v be (-1)\/4 - 3\/p. Solve -4*t + 16 + 4 = v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 112 = 0. Suppose 4*i = -4*j + b, -j + 2*i - 16 = -3*i. Let y(h) = -j*h - 13*h + 21*h. Let x(c) = 2*c. Give y(x(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/3 equal to -59070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*f + 617*f - 12941 = -2630 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11458.\nAnswer: 2, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001100000100000 (base 2) to base 11.\nAnswer: 71552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/99552 and 8\/71553.\nAnswer: 2289696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -24 - -8 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k + 1. Let n(v) = -10*v**3 + 7*v**2 + 5*v - 3. Give -5*i(h) - n(h).\nAnswer: 5*h**3 - 7*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*y**3 + 13 + 2*y**2 - 13 + 4*y**3 wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19f (base 16) to base 3.\nAnswer: -120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 543 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -776.9?\nAnswer: -233.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-440)\/16*24\/45)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/9*10\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12 - 78458\/(-4). Suppose 3*t + o - 2815 = 0. What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-231)*45*154\/84?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462\/7623*6\/(-4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let r(g) = g**2 + 1. Let j(s) = 9*s**2 + 7. Let w = -4 - -19. Let v = -13 + w. Let d(h) = v*j(h) - 14*r(h). Give d(n(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.2 and 287.\nAnswer: 7806.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - t - 4*t - 9 - t**2 + 5*t. Let s be b(0). Is (-2 + 0)*(10143\/14)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71745081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 4*k**2 + 2*k**3 - 6*k**2)*(199 + 3114 - 189)*(-1 - k**2 + 1).\nAnswer: -6248*k**5 - 6248*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 2)*(-96*d**2 + 45*d - 45*d) to w + i*d + l*d**2 and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**24*q)**(-19\/5)\/(q**40\/q**27) assuming q is positive.\nAnswer: q**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/7 - 32*x**4\/7 - 464*x**3\/7 - 1444*x**2\/7 - 402*x\/7 + 2340\/7 = 0.\nAnswer: -5, -3, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5*f**3\/3 - 427*f - 346. Differentiate a(g) with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1173586 times -0.3\nAnswer: -0.03520758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8150985.\nAnswer: 3, 5, 31, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 384 = 49*n. What is the highest common factor of n and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0\/(-3))\/(-2) + -279)*1. Let q be 5\/(15\/(-103))*k. List the prime factors of 6\/45 + q\/45.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkllklkllll. Give prob of picking 2 l.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9773047, 9773045, 9773043, 9773041?\n\"Answer: -2*b + 9773049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -184*v - 729. Let d be a(-4). Solve -8 = -d*n - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 9 + 6, -2*k + 71 - 32 = -5*x for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:50 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/2 + 5465*m**3 + 32765*m**2\/2 - 87410*m + 65562 = 0 for m.\nAnswer: -10927, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.01 (b) 0.03 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159, -163, -169, -177, -187, -199?\n\"Answer: -h**2 - h - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 22 + (-5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 1038664?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 6. Suppose 5*y + 4 = 4*u, y + 2*u = 3*u. Give w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116783 (base 9) to base 7.\nAnswer: 412623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6067*w - 6067*w - 2366*w**2 - 1.\nAnswer: -2366*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 238963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8.57+4.4259094462\nAnswer: 12.9959094462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7052387019?\nAnswer: 3, 3019, 778667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1235270720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.746341 rounded to 2 decimal places?\nAnswer: -98.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 60. Let m be t(16). Suppose f + m - 389 = 5*z, 0 = f + 2*z - 406. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 24491701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(sqrt(19) + sqrt(76)\/sqrt(4) + 0 + 1*sqrt(171) - 4*(-1*sqrt(19)*6 - sqrt(19))))**2.\nAnswer: -528*sqrt(19) + 82780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*h + 40 = 3*h, q - 15 = -2*h. Solve -4*w + 10 = 4*m - q*m, m + 5*w = 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -34*d + 20*d. What is the highest common divisor of d and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 26. Let s = c + 34. Suppose 4*u = -0*u + s. What is the remainder when 32 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -575.326 - -576. Let m = 0.673998976 - r. Round m to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 + 266. Solve -4*o + i = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - ((-5940)\/(-16))\/(-11). Suppose 0 = 154*a - 156*a + l. Let q(x) = -x**3 - x - 1. Calculate the remainder when q(-4) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4171*a + 7343. List the prime factors of o(-9).\nAnswer: 2, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 688 divide 583546464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 11. Let g be n(-6). What is the common denominator of -91\/18 and (5\/2)\/g*29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -109cb9 + -337?\nAnswer: -10a212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -102599.23.\nAnswer: -410396.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25194 * 0.9.\nAnswer: -22674.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 - 2*d**4 - 63*d**3 + 21154*d**2.\nAnswer: 120*d**2 - 48*d - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 1, y: 3, i: 11}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*x + 943*x - 490*x.\nAnswer: -41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-19162)\/(-39))\/67 + (-11620)\/1560\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/15 + 1174352*h\/15.\nAnswer: -2*h*(h - 587176)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 14*j + 10. Let u(s) = -s + 1. Let i(y) = o(y) + 12*u(y). Let k be i(-10). Put -2, k, -3 in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*q**2 - 1028254*q + 1028254*q.\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 3*v, -5*q - 2*v = -32. Suppose 3*z + 5 = q. Let g(k) = -3*k - k + 3*k. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -368*p - 4952. Let h be z(-13). Which is smaller: -122 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1da - 45?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1481 = -4*p, 2*p - 1180 = -l - 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 - 37*n**3\/3 + 25*n**2\/2 - 47*n + 209. What are the prime factors of w(37)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -616, -836, -1002, -1096, -1100, -996?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {w: 1, h: 3, u: 1, g: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 29*i. Let f(n) be the first derivative of -3 + 2\/3*n**3 + 0*n**2 + i*n. Let y(b) = -3*b. What is y(f(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -28*a + 457. Give u(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(135))\/sqrt(5)*-3)\/((sqrt(9) + (sqrt(9) - sqrt(81))*6 + sqrt(9) + sqrt(9))*-3).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 8\/(-752)*-1469780 + (-14)\/(-329)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence app when three letters picked without replacement from xpxpaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29098 times 1.3\nAnswer: 37827.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1 + -4 - (-1*sqrt(110))\/sqrt(10)*4)*-5)**2.\nAnswer: -2800*sqrt(11) + 54300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*o - 2*o + 82, -2*q + 52 = 4*o. Let y(z) = 3 + 11*z + 13*z - q*z. Let x be 0*1\/2 + 2. Calculate y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 621993327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*j - 659 - 911, 5*b = -3*j - 1981. Let x = b + 1271. What are the prime factors of x?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 17*v**2 + 11*v - 3. Let x(o) = 3*o**3 + 25*o**2 + 16*o - 5. Let k(u) = -7*p(u) + 5*x(u). Is k(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000958 rounded to 7 dps?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 508473806 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71671015043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -3*(3 + sqrt(192)).\nAnswer: -24*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346864 and 6839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(2\/10*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -737 - -1020. What is the remainder when k is divided by 117?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 q when three letters picked without replacement from {c: 5, q: 3, y: 1}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.576 times 1?\nAnswer: 12.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*h + 4*b, 4*h - 31 = 4*b + 13. Let d = h - 15. Which is bigger: 3\/7 or d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 51911.98 milliseconds?\nAnswer: 51911980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -163 - -264. Let j = k + -98. Let b = -20 - -29. Solve j*f + w = -4*w - b, -3*f - 9 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1348 - 1345. Let s = -2.19 - -0.19. What is the closest to -16 in v, s, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.315 - -1.915. Which is the nearest to -2\/7? (a) -2 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464473 is divided by 428?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 1. Let c(r) = -6*r + 4. Determine -4*c(f) + 11*x(f).\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 30*n = 9. Sort -1, -3, n, 5 in descending order.\nAnswer: 5, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h = -50*h + 4*n - 3, -5*n + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 3\/4*w**2 + 9\/4*w.\nAnswer: -3*(w - 2)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-84)\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, x: 1, h: 1, c: 1, v: 1}. Give prob of sequence cv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5\/4 - 187*d**4\/4 - 1817*d**3\/4 + 36351*d**2\/4 - 5670*d - 2916 = 0.\nAnswer: -36, -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1579*r**2 + 9*r + 60. Let p be v(-5). Suppose 10*y - p = -0*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4029, 1\/2, -2\/181 in descending order.\nAnswer: 1\/2, 0, -2\/181, -4029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-44))\/(36\/(-264))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.85759ns in hours?\nAnswer: 0.000000000248293775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 2 - 2)*(0 + 3 + 3)*(1 + 1 + 1)*(1 - 4*t - 1).\nAnswer: 72*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wece when four letters picked without replacement from {e: 5, w: 7, c: 1, n: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41800 divided by 1287.\nAnswer: -3800\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -25, 7, 2, 3 in descending order.\nAnswer: 7, 3, 2, -25, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 3*t - 1. What is the remainder when w(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 889136.221 + -888774. Let c = -362 + v. Let x = -0.22099798 + c. What is x rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266819 + 67067 = -42*d. Calculate the highest common factor of d and 328.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13953 - -69764\/5. Let i = 0.19 - -0.01. Which is the closest to m? (a) -2.1 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + c = 2, 3*h - 4 = 5*c. Let l = 1.8 + -2. Let q = 0 + 3. What is the closest to h in l, 4, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 15.859\nAnswer: -15.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -4. Suppose 5*f - 22 = r - 195, -4*r + y*f = -632. Find the third derivative of -2*s - 23*s**2 - 161*s**4 + 2*s + r*s**4 wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4800 and 388887360.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/14 - 258\/(-602)*(2 - -65)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -34. Solve 5*m - 2*l + 7 = 40, -t*m + 4*l + 26 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42493919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-720) + 183\/(-2440).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r + 171 + 39*r + 24*r. Does 30 divide j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.369 + -40.869. Which is the biggest value? (a) m (b) 2\/25 (c) 1.9 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23 + 2)*(-18)\/63. What are the prime factors of (-4)\/p + (-74)\/12*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5425\/11 - 493. Let h = -5.8 - -4.1. Let l = h + 2. What is the third biggest value in 0.1, l, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**5\/5 + u**4\/2 + u**3\/2 - u**2\/2 - u\/2 - 3. Factor q(v).\nAnswer: -(v - 1)**2*(2*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 359 by -3521.\nAnswer: -359\/3521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1011101111?\nAnswer: -1011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = r. Let u be ((-2)\/5)\/((-1)\/5). Find the third derivative of 3*t**4 - 4*t**u - r*t**2 + 156*t**3 - 156*t**3 wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppcjppddcjjcpz. Give prob of sequence zp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114490546 is divided by 1956.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*n**2 + 45*n - 45*n + 48*n**2 + 53*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o + 7. Let r(t) = -7*t + 2. Let u(p) = -4*l(p) + 14*r(p). Let g(f) = 2. Let j(q) = 2*q - 4. Let z(m) = -4*g(m) - 2*j(m). What is u(z(b))?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-14\/5) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/141 > 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - p)*(-3794*p - 13321*p - 1398*p) to g + v*p + b*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -1 + sqrt(19) + 0 - (sqrt(171) + sqrt(171) + 0)*5))**2 + -4.\nAnswer: 928*sqrt(19) + 63976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/3*j**3 - 2\/3*j - 13\/3*j**2 + 0 = 0 for j.\nAnswer: -1\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 3, -1, 7, 116 in increasing order.\nAnswer: -70, -1, 3, 7, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) -8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 60*d**2 + 12*d - 46. Let p be m(9). Suppose -2*k + p = 3*n, -4*k - 2*n = -6*n - 9844. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 - -0.443. Let m = -4.967 - q. Which is the second smallest value? (a) m (b) -4\/7 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14680394, -14680400, -14680406, -14680412?\nAnswer: -14680418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -684, -5820, -19754, -46884, -91608, -158324?\n\"Answer: -733*t**3 - t**2 - 2*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 + -3 + (-523)\/(-156). Let v = c - -22\/39. What is x in -4\/3*x**2 + v + 2\/3*x**5 + 2\/3*x**4 - 4\/3*x**3 + 2\/3*x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/50*20\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h - h)*(-3 + 1 - 3).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 7*t**2 - 28*t + 154. Determine i(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 + 1 + (-115 - -107)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23990378 to the nearest integer?\nAnswer: 4898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((7 - (-7 + 12) - 7) + -21).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43425 + -7.107?\nAnswer: -43432.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 20*a - 16 = 0. Find the third derivative of -43*t**2 + 96*t**4 + a*t - 79*t**4 - 2*t wrt t.\nAnswer: 408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1216*d**2 - 226*d + 230. Determine s(1).\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(35\/70).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 222380305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - -0.8. Let c(i) = i + 4. Let k be c(-2). What is the closest to 0.1 in g, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35356 + 26327. Which is smaller: -9028 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/70 and 49\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030495 divided by -206099?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000249 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 257137 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/21 and -163\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/30429 and -45\/1748?\nAnswer: 2312604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 712715 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/3 + 656*j**2 - j\/3 - 656 = 0. What is j?\nAnswer: -1968, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4741675097\/154 + 30790245. Let j = 1045\/7 - f. Let v = 83\/4 + -41\/4. What is the common denominator of v and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43 times 5?\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 + 1641576*x**2 + 164127600*x + 4102940000 = 0. Calculate x.\nAnswer: -410294, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 2.5158.\nAnswer: 9.5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 22 + 8*o + 68 - 18.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 37 = -5*p + 32, 5*d = -25*p - 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142\/16257 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 2 i when four letters picked without replacement from idjhcth?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-20)\/(-6))*9. Let c be 9 - 1\/(j\/6). What is the units digit of c*1 + 4 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*((-1*sqrt(396)*1)**2 + (5 + (sqrt(396) - (sqrt(396) - (sqrt(396) + -1))))**2))*-4.\nAnswer: -3228 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369564 and 349232?\nAnswer: 107912688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11156 (base 7) to base 14\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23853 is divided by 367.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = -3*g, 2*a - 2*g - g - 17 = 0. Calculate the least common multiple of a and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + 64*u + 24. Let a(q) = q**2 + 24*q + 9. Let c(g) = -8*a(g) + 3*i(g). Let h(o) = 8*o**2 - 14*o. Calculate c(h(w)).\nAnswer: 64*w**4 - 224*w**3 + 196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:07 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i**3 + 14*i**2 + 0*i - 1\/24*i**4 - 1\/60*i**5 + 0. Determine t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 0.1. Let o = t + 0.26. Let c = -0.11 + o. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2514*x + 52827. What is t(21)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*h + 54*h = 10080 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1645.71 and 0?\nAnswer: 1645.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*s + 3*s + 12, -4*s = -f + 9. Let o be (2 + -3)\/1*f. Let t be o\/(2 - 38\/18). What is the highest common divisor of 18 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380 + 850153.7.\nAnswer: 850533.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2260.9 and -0.032.\nAnswer: -72.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*b - 7 = s, 5*b = 3*s + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-8)\/6)\/((-60)\/(-6390)))\/(-2). Suppose c = -5*f + 78, -m*c = -66*c + 4*f - 306. What is the remainder when c is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.303 times 1.854?\nAnswer: 13.539762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 - 68*a**3 - 131*a**2 + 68*a + 132 = 0.\nAnswer: -66, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 - 4*s**2 - 2. Let h(k) be the third derivative of 199*k**5\/60 + 24*k**2 - 1. Give h(m(a)).\nAnswer: 199*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -623, -3277, -10479, -24503, -47623, -82113, -130247, -194299?\n\"Answer: -379*o**3 - o - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 + -68. Let l = -30 + b. Let o = 46 + -27. Is o bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 + 12*l + 5. Give c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*y**2 + 21*y + 258?\nAnswer: 6*y + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d + 2. Let h(f) = -f**2 - 12*f - 22. Let p be h(-10). Calculate o(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948941.\nAnswer: 7, 31, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-288)\/(-40))\/(1\/(-5)). Let i = c + 12. Let l be (-2)\/4 + (-696012)\/i. What is l rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 3*y**2 - 2*y + 5. Let v be o(4). Suppose -600 = 5*b - 5*f, -f = -3*b + f - 355. Let d = v + b. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 404*b**2 - 37*b + 14850. Give f(404).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Suppose -2*k = w*y + k - 77, -4*y + 71 = k. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - 8 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 50 + 34 = 0. Calculate the greatest common factor of 126 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 72*k + 70*k - 2860. What is the closest to -2\/9 in k, 8, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254 = -2219*a + 2181*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 10300?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15813d + -3?\nAnswer: 15813a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 27 + 179 = 0. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7561 - 7246. Calculate the least common multiple of l and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in 0, 1\/43, 8, -4\/5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 734 + -714. What are the prime factors of (1236\/s)\/(3\/30)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + o + 456 = 0, -5*s + 2*o + 457 = 0. What is the greatest common divisor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(72)*5 - ((-3 + sqrt(72)*4)*-5)**2)*-6.\nAnswer: -20880*sqrt(2) + 174150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pda when three letters picked without replacement from bzppzabcbbcdbpbbzazb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 + 12870*b**2 - 786219*b - 799092 = 0.\nAnswer: -1, 63, 4228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3465440520 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) 1\/25 (c) -1439\/6 (d) 1\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (21 - (10 + -19)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2. Let b(u) = 12*u - 12. Let a be (-4 - 7)\/(-1)*(-4 - -3). Let j(c) = 35*c - 33. Let y(k) = a*b(k) + 4*j(k). Determine l(y(h)).\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x**3 - 6*x + 16. Let h(k) = -43*k**3 + k**2 - 18*k + 48. Let j(p) = -8*c(p) + 3*h(p). Calculate j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 126\/(-10) - 6*4\/(-40). Is (((-16)\/t)\/4)\/(3\/5283) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/88738 and -157\/102390.\nAnswer: 1331070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-445)\/(-285) + (-4)\/(-38))*339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 205 in 15, 8, 2\/11, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose -x*k = -1119 - 866. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2594514155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3\/3 + 83020*z**2 - 17555296*z + 2788910032\/3 = 0. What is z?\nAnswer: 106, 62053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2. Let o be -1*(-2)\/8*-4. Let n(w) = 6*w**3. Let m(g) = o*d(g) - n(g). What is the third derivative of m(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 3:17 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96454287049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 436561.44 hours in weeks?\nAnswer: 2598.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1063410, -2126392, -3189374, -4252356, -5315338, -6378320?\n\"Answer: -1062982*j - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -7901737.\nAnswer: -7901737, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 36614?\nAnswer: -7322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28978.07 - 3567101\nAnswer: -3596079.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - c = 34*b - 8, b - 2*c = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/12 - 7*l**3\/6 + l**2. Let z be ((-12)\/5 + 2)*-10. Let n be x(z). Which is smaller: 6\/19 or n?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.67 + 38.07. Which is the closest to -0.1? (a) -2 (b) p (c) 0.57 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + -0.77. Let t = f - 0.2. Let v(s) = s**2 - 6*s + 7. Let l be v(4). Which is the nearest to l? (a) 2 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7994715mm in meters?\nAnswer: 0.0007994715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*v**4 - 53*v**2 - 2094*v wrt v?\nAnswer: 120*v**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 13*q - 64. Suppose -5*f + q = a, -f + 2*a = -3*a - 12. What is the third derivative of 3*p**3 + 4*p**3 - 12*p**6 - 7*p**3 + 5*p**f wrt p?\nAnswer: -1440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2, -5, 0.4, -0.3 in ascending order.\nAnswer: -5, -2, -0.3, -2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24590 = -2*p + 2*z, 176*p - 2*z + 49162 = 180*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29966.3 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -16. Let d = j + -20. Solve 0 = -d*w - w + f - 9, -20 = -5*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732834.4 years to months.\nAnswer: 8794012.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.223283?\nAnswer: -2.223283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.6. Let v = -0.5 - r. What is the closest to v in -1, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Suppose 14*a - 9*a - 5*j - 40 = 0, 4*j - 3 = -3*a. Suppose 95 = a*s - 4*r, -t*r = 2*r. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17816 - 17815.6. Which is the third biggest value? (a) 63 (b) 0.04 (c) -2\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*b + 114 wrt b.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19574 (base 14) in base 9?\nAnswer: -107046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 62. Let n = -6914 + 6920. Let j be n\/x*(-2)\/(-1). Put -2, j, 0.4 in increasing order.\nAnswer: -2, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 31, 51, 71, 91, 111?\n\"Answer: 20*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 1\/40*d**6 + 0*d**4 + 1\/20*d**5 + 4*d**2 + 0 + 0*d + 0*d**3. What is the third derivative of r(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-775)\/403*-13*(-6)\/10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4568189*j**2 + 4566921*j**2 - 9134161*j**2.\nAnswer: 949*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683937657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3885 + 2*s**2 + 127*s + 3885 as k*s**2 + a + z*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 291.7937nm?\nAnswer: 0.0000000002917937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuumhd. Give prob of picking 1 u and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 6. Let j(i) = 2*i - 11. Let u(v) = 9*g(v) + 4*j(v). Let k be u(5). Suppose 4*d - 4*m = 7 + 41, k*m - 15 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 + 227 + -32 + -40\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26525391 - -2549.\nAnswer: -26522842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + f - 257 = 221, h - 3*f = 486. Suppose -3*x + h = 2*x. Let v = -187\/2 + x. What is the third smallest value in v, -3, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 14. Let c(s) = 3*s. What is the remainder when c(z) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 - -1?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**2\/2 - 20. Let m(g) = -3*g**2 - 13*g - 13. Let r(z) = 2*z**2 + 6*z + 6. Let p(c) = -6*m(c) - 13*r(c). Calculate w(p(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23370 and 2870.\nAnswer: 163590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 4*v + 5. Let i = 5749 - 5753. Calculate o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/12 - t**2\/2 + 1. Let f(y) be the second derivative of x(y). Let w(m) = m. Give w(f(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6428647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 108. Find the first derivative of 29 - 3 - 48*w**g + 5 wrt w.\nAnswer: -192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.889 - -0.111. Let w = o + -68.1. Which is the closest to w? (a) 3\/4 (b) -1\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/120*s**5 - 2*s**2 + 34 - 5\/48*s**4 + 0*s - 1\/2*s**3. Factor g(p).\nAnswer: (p - 6)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -1 + 0 + (0 - -1) + (-21631 - -21631)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583453347 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 4*s**3 + s**3 - 5*s**3 - 5 + 5 + (-3*s - 3*s + 2*s)*(2*s**2 + 4*s - 4*s) as o + u*s**3 + q*s**2 + j*s and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + 96. Let g = h - 145.9. Let v = g - -1.9. Sort -18, v, -2.\nAnswer: -18, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 1131, 1513, 2039, 2727, 3595, 4661, 5943?\nAnswer: 7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3367)\/(-481)*108\/(-28)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 v when four letters picked without replacement from {c: 2, r: 1, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 23. Is (q - -4)*787*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1672 + -1390. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2967927779 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**3 - 3704*i**2 - 438*i + 408. Calculate t(218).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + -95. Solve -w*q = -s + 7, 5*s + 3*q = -7 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2 - v**2 + 2*v**3 + 7 + 2 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/4 - 187\/12. Let g = -30 - h. Let i be (2\/3)\/1 + 0. Which is the second smallest value? (a) 0.5 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.91 + 13.91. Let r be (-2)\/6 + (-22)\/(-84). What is the closest to m in r, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 7*z**2 - 4*z**3 - 3*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:37 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/6 + 6\/9. Suppose -4*w - x = -w. Let y(n) = -n**3 - 5*n**2 - n - 2. Let p be y(w). Solve p*s - 3*f + 2 = -7, 3*f = -4*s - 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6834321 + -0.746921. Let y = u - -65.0632189. Let b = -65 + y. Round b to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11193331, -5 in increasing order.\nAnswer: -11193331, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3221 - -3223. Factor 3\/5*j**d - 3\/5*j**3 - 3\/5 + 3\/5*j.\nAnswer: -3*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2\/7*f**4 - 54\/7*f**2 - 16\/7 + 22\/7*f**3 + 50\/7*f = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1804, -1874, -2100, -2560, -3332, -4494, -6124?\nAnswer: -8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*x = -18*x + 1281753. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1124867506 and -8?\nAnswer: 1124867498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-5)*((-35)\/42)\/(44\/(-132))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/(n**(-1\/8)\/n))\/n)*n)**(-1\/24) assuming n is positive.\nAnswer: n**(1\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -445, -448, -453, -460, -469?\n\"Answer: -s**2 - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 - 51 = -27*d + 115. Solve -2*n = -2*s + 2*n + 18, 0 = -4*s - 5*n - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v - 29. Let z = -3 + v. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34589967, -69179932, -103769897, -138359862, -172949827?\nAnswer: -207539792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -456688, -913375, -1370062, -1826749, -2283436, -2740123?\n\"Answer: -456687*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 15*h**2 - 57*h - 12. Let p be a(-18). Suppose p = n + 2*m, -14*n + 10*n = 5*m - 168. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 1\/11, -26 in decreasing order.\nAnswer: 1.9, 1\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + -3 - (2 + -6 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477216 and 1800.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/39)\/(5\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5624124 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - 6*f - 7. Let h(b) = -7*b**2 - 13*b - 15. Let q = -29 + 35. Let p be -3 + 5 + 2 + -17. Give p*z(m) + q*h(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 765184 or 3?\nAnswer: 765184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvekvvkvvk. Give prob of picking 2 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*d + 6*d**2 + 2*d**4 - 2 + 10*d**3 - 8*d**3 - 4*d**2 - d**2 in the form t*d**3 + q*d**4 + x*d + f*d**2 + w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902348, 902365, 902382, 902399?\nAnswer: 902416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*c - 85 + 201*c + 308*c**2 - 414*c.\nAnswer: 308*c**2 - 5*c - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.92 * -178772.\nAnswer: -343242.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63765667 times -0.3?\nAnswer: 19129700.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/161310 and 13\/16074.\nAnswer: 22744710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 37167.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 3. Let p(x) = 14*x + 22. Suppose a = 4 - 10. Let v(o) = a*p(o) - 44*u(o). Let q(h) = 2*h. Calculate v(q(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t. Let x(k) = 4*k - 9*k - 3*k. Determine x(c(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 0 - c + 1018*c**2 - 922*c**2 + 0 + 2*c**4 - 4*c**4 in the form x*c**4 + t*c + m*c**3 + r*c**2 + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 2*j + 13*j - 17*j.\nAnswer: -2*j - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 410973, 821983, 1233013, 1644063, 2055133, 2466223?\n\"Answer: 10*u**2 + 410980*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*a = 5, 299*a = -4*d + 295*a + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s. Let o(d) = 26*d**2 + 39*d. Let n(q) = 39*a(q) + o(q). Let y(i) = i**2. Give y(n(w)).\nAnswer: 169*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5)*o*o*o\/(o*(o**(4\/3)\/o)\/o))\/(o**(-1\/3)\/((o*o**1*o)\/o)))\/((o*o*o\/(o*o**1*o*o)*o)**(-7\/8))**(3\/11) assuming o is positive.\nAnswer: o**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*y - 12, 5*y = 3*y - 5*g - 15. Suppose 8 = 3*x - x, a + 3*x - 16 = 0. Suppose y = -a*c + 444 + 296. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 4*h)*(-2*h**2 + h**2 + 3*h**2) - h**3 + 2*h**3 + h**3 + 42*h**3 - 10*h**3 - 2*h**3 - 6*h**3 + 0*h + 0*h.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:02 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.1, 0.2, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + a + 3*a + 18*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 12, 565?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -20. Let z = h + 31. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102450 is divided by 32975?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1503*c + 22118*c + 6030*c)*(-2 + 0 + 5) in the form j*c + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -18?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -34223010\/59 and -580051 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 19, 507, -14 in descending order.\nAnswer: 507, 19, 7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - 0.151.\nAnswer: -44.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1147282 or -1147284?\nAnswer: -1147282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1494848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0008 or 3621?\nAnswer: 3621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27696559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -4 - 3\/(-12)*0. Suppose -5*m + 5*g + 85 = 0, 2*m - a*g = 18 + 19. What is the least common multiple of m and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*sqrt(500))**2 + ((sqrt(560)\/sqrt(7) + -1*sqrt(245))*-1)**2 + -5.\nAnswer: 12540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 + 3*p**2 + 4*p + 7. Let v(l) = -l**3 + l**2 + l + 2. Suppose -5*t + 16 = -3*t + 4*r, -68 = -4*t + 4*r. What is t*v(h) - 4*y(h)?\nAnswer: 2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -546737 and 1.1.\nAnswer: -601410.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.34 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m + 1. Let z(w) = -29*w - 152. Determine 4*j(c) + z(c).\nAnswer: -5*c - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**5\/5 + 14*g**3\/3 - 12*g**2 + 33*g - 112. Let i(j) be the first derivative of t(j). Factor i(w).\nAnswer: -4*(w - 2)*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 9*x - 1 + 4*x**2 + 1\/3*x**3. What is the units digit of h(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1584) - (1 + sqrt(1584)*3)**2 - ((sqrt(1584) + sqrt(1584)*-4)*3)**2).\nAnswer: -142561 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = 49*b - 54*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 91?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h**2 + h - 4. Let z be g(2). Let t = -22 + z. Let l(u) = -3*u + 1. Let b be l(-1). What is the highest common factor of b and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 1\/3, 2, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2028\/(-5187) + 4\/38?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**6\/10 + 3*g**5\/5 - g**4 + 2*g + 5. Factor w(h).\nAnswer: -3*h**2*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 1)*4\/11. Solve -10\/11*r**2 - 2\/11*r**3 - 8\/11 - u*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-30))\/((-6)\/(-15)). Let p = -5.87835 - 0.12165. Which is the nearest to p? (a) -1 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 16715.\nAnswer: 16715.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 68945, 75 in descending order.\nAnswer: 68945, 75, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 + d**2)*(0*d - 4*d - d) + (-2*d + 6*d**2 + 2*d)*(d + 4*d - 6*d) + 2*d - 3*d**3 - 2*d.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (sqrt(200) + -2)*3*-5 + 0 + -3)*1)**2.\nAnswer: -46500*sqrt(2) + 229805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 246*w - 10781. What is b(-189)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -320, 11, 1 in decreasing order.\nAnswer: 11, 1, -3, -5, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186 or 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 36 - (-4 + 1). Let l = n + 242. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 578 + -340. Let y = x - 947\/4. Which is the nearest to 1? (a) y (b) -1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1592 + -854. Are 739 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88.4 or 442073?\nAnswer: 442073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 411 + -153. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 + 2*i**2 - 4*i + 7. Give r(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:45 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 327 - 1015 - 806)*(-2*j**2 + 2*j - 2*j).\nAnswer: 3086*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g + 6*g**2 + 7 - 6 + 1 + 48*g.\nAnswer: 6*g**2 + 77*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18849774 by -13.\nAnswer: -18849774\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 20\/4)\/(-10 - -6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 + 10\/6. Let k(f) = -4*f - 72. Let u be k(-17). What is the closest to y in 2\/7, u, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -1. Let k = 0.83 + q. Let p = 0.17 + k. Which is the closest to -1\/4? (a) -0.1 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (-374 + 430) - (-11 + 1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.033964 grams in milligrams?\nAnswer: 4033.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 1, y: 1, c: 1, j: 2, v: 1}. Give prob of sequence dvy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-14) + -6*(-4)\/42. Suppose -4*s + 2*b + 2*b = -19452, 4865 = s - j*b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1612*z - 68. Let g(l) = l. What is g(b(h))?\nAnswer: -1612*h - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 771732 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3740937 - 1516001 = -82*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 649648 (base 12) to base 9\nAnswer: 2886332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 137\/9 + 10\/(-45). Suppose -5*j + 19 = 5*d - 101, -4*d - j + 96 = 0. Let t = d - p. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*d - 6 = 0, 4*g + 5*d - 14 = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 4645*k**2 - 395472*k + 8341956.\nAnswer: (k - 42)**2*(k + 4729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 2, k: 1}. Give prob of sequence ooll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56178701*i**4 - i - 5744677 wrt i.\nAnswer: 674144412*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11509 and 1398682?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -78951518 bigger than -552660620\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 3*o - 1. Let t = 27 + -25. Suppose -t*l + 6 = -l. Calculate the remainder when l is divided by h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d (base 16) to base 6\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86587117.\nAnswer: 86587117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 10:02 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414*a*l*y**2 + a*l*y + 8*a*y**2 - 7*a*y - 6*y**2 with respect to l.\nAnswer: 414*a*y**2 + a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -340, -889, -1702, -2785?\nAnswer: -4144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, a: 2, u: 6, v: 4}. What is prob of picking 1 a and 2 i?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162338933 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v + 40. Let m be (-3)\/((-18)\/16)*12. What is the greatest common factor of m and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = 4*z, 4*z - 5 = -0*z + k. Suppose -10 = -2*s - 3*s. Suppose 2*f = 2 + s, -z*v - 14 = -2*f. Sort 0.4, v, 3\/8 in descending order.\nAnswer: 0.4, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13333013 divided by -13333013\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9534 and 27013?\nAnswer: 162078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*f + 1 - 254*f + 123*f - 1.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 227*d. Let s(y) = 2*y. What is i(s(x))?\nAnswer: 44*x**2 - 454*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1)\/2*2. Suppose 3*b + 2 = -5*i - 10, 4 = -b + f*i. Let w be 2 - (b - (-2 - 0)). Solve -3*q + 8*h + 35 = 3*h, -2*h - 28 = -w*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 2620*y + 2615.\nAnswer: 5*(y - 523)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. What is the second smallest value in 1, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 - 239316 + 239316.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101101 (base 2) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 1, z: 2, g: 1, d: 2}. What is prob of picking 1 j, 1 u, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - o - 97 + 3, -y + 3*o = -42. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let r(q) = -57*q - 77*q + 231*q - 53*q. Determine r(x(u)).\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628032963 or -628032964?\nAnswer: -628032964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 61. Let l be 26 + -2 - 9\/3. Let i = l - f. Let h(a) = a**2 + 3*a + 1. What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -944, 0, 6, 8 in descending order.\nAnswer: 8, 6, 0, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -3, 0.02, -1.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y + 937 - 464 - 473 to the form q*y + f and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 548d - -2a?\nAnswer: 54b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 o when four letters picked without replacement from kookkookkkkkkk.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o**2 + 6*o + 2. Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-234)\/(-24) - 10 - (-66)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 90. Suppose -f*a = -11*a + 112. Suppose -j + a = 7. Calculate the smallest common multiple of j and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -932.419\nAnswer: -11189.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -18*r - 57*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2268 (c) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from pfyemmv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from vkbvvkkovookoro?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96348000 = -13*j - 15*j + 7*j. What is j rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v**3 + 3*v**2 - 12. Let i(n) = -10*n**3 + n**2 + 6*n - 4. Let p(x) = x**3 - x. Let m(w) = -i(w) - 6*p(w). Give -3*j(c) - 8*m(c).\nAnswer: c**3 - c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 - 1878 = 0. Suppose 15 = -5*j, -3*j = t + 3*t - 27. What is the lowest common multiple of t and 2\/(-5) + a\/55?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (427\/((-108885)\/306))\/((-2)\/(-10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5 - 2*b**3*m - 819*b**2*m + 153*b*m + 6*b - 1 wrt b.\nAnswer: -80*b**3 - 12*b*m - 1638*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*j - 1709, -2*h - 3*j + 2*j + 847 = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 + 59. Sort -5\/16, z, 4\/7.\nAnswer: z, -5\/16, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -5.6. Let s = -11 - -6. Let k = 0.22 + -3.22. Put s, k, t in descending order.\nAnswer: k, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**4 + 30*u**2*z + 296*u + 107053*z wrt u.\nAnswer: -12*u**3 + 60*u*z + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 1000 = -2869 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 883 - 478. Suppose 4*o + 5*u - m = -0*o, -5*u + 90 = o. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**3 - 3*c - 3. Let b(f) = f - 2*f - 344 + 343 + 0*f. What is 3*b(a) - y(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*u**3)*(25 - 376 + 42 + (-1 + 0 + 3)*(-1 + 3 - 1) + 2 + 0 - 6).\nAnswer: 622*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - g**4\/3 + 11*g**3\/6 - 26*g**2. Calculate v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4172803605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = -4*b. Suppose -6*f - 2 = -b*f. Does 4 divide 21*(f\/(-3))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(4 - 1)\/(808 + -817)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 4*k = -b + 6, -3*k - 3 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from uutubbtttttu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 44*a. Let z(h) = h. Let w(g) = -2*s(g) - 88*z(g). Let n(x) = -x**2. Give n(w(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431151 (base 6) to base 5.\nAnswer: -2112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134665012 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1272.1698 + 1272. Let m = y + 0.1161. What is m rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 249 - 4?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 - 9) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - d + 20 = 0, d - 4*d = 2*v + 55. Let f = 25 + v. What is a in -8\/5*a**f - 2*a - 2\/5 = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17894879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10510 (base 12) to base 3.\nAnswer: -1002110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4173 and 230780703?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 + 21*c**2\/2 - 45*c + 54.\nAnswer: -3*(c - 6)**2*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39\/4 - -10. Which is the third smallest value? (a) 0.4 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 234*u + 553 wrt u.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -83 + 47. Let o(z) = 4*z - 6. What is o(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/36)\/(6 - -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2090410.\nAnswer: -1\/418082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noonoooionoonqo. Give prob of picking 1 n and 1 i.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -5*a. Suppose -z - a*v = 34 - 2, -z + 3*v - 42 = 0. Let r be 58\/18 + 8\/z. Solve r*i + 3*j - 10 = 2*i, -5*j + 20 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7546m in nanometers?\nAnswer: 17754600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*r = 49*r + 454034. Calculate the remainder when r is divided by 68.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 91 - 2*w**2 + w - 2*w - 1. Let n = 452 + -452. What are the prime factors of q(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 1 + 1 - 3*b**2 - b + b + (0 + 0 - 2*b)*(2*b - b - 3*b) + 13 - b**2 + 0*b**2 - 11.\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -16. Let r = 2.97 - -0.03. Let h = 2.5 - r. What is the third smallest value in b, -2\/17, h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -56. Let b be c\/39 + (-14)\/91. Solve b = 5*w - 4*u + 15, -3*u = 2*u - 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 103*n**2 - 90*n + 723. Let c be o(35). Solve -20*k + 21*k = -2*h + 11, -4*h = 3*k - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2. Let w(p) be the first derivative of -25*p**2\/2 - 197. Give w(f(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -601953, -601979, -602007, -602037, -602069?\nAnswer: -602103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**2. Suppose -31 - 89 = -2*l. Let o be l\/27 + (-8)\/36. Let a(g) = -g**2 + 0*g**2 + g**2 - o*g**2. Determine a(c(b)).\nAnswer: -722*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -96*r + 91*r. Which is the second smallest value? (a) 1 (b) 2\/21 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -11*k + 1063. Calculate the remainder when k is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 10:50 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 3*o)*(2 + 2 - 2) - o - 2*o + o - o + 3*o - o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25436, 23284, 21136, 18992, 16852?\nAnswer: 14716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 11*p + 4094 = -203*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221020021021 + 11?\nAnswer: 21221020021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503178252.\nAnswer: 2, 3, 41931521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzt. What is prob of sequence rz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*k = -3, -3*k - 2*k - 11 = -3*p. Suppose -80 = -p*q + 16. Suppose -663*d + 668*d = 135. Calculate the remainder when q is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40882409 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 88*o. Let j(m) = 3*m - 24 - 5*m + 58 - 34. Calculate y(j(k)).\nAnswer: -176*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1512\/60)\/(-21)*(-35)\/(-231)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1997, 6194, 10391, 14588, 18785, 22982?\n\"Answer: 4197*p - 2200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2. Let b(v) = -2*v**2 + 8*v + 8. Let x be 5*5\/(-50) + (-17)\/(-2). Let f(r) = 2*r + 0*r - 1 - 3*r. Let m(l) = x*f(l) + b(l). What is m(t(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 413*j + 668. What are the prime factors of v(0)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.03.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/5 - 195\/75)\/(-2). Let w(p) be the third derivative of p**4\/8 + p**3\/6 - p**2. What is w(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*o - 1855, -6*o = -3*o + 3*n - 1131. What is the highest common factor of 170 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 258 = 2*u, 3*z - 779 = 2*u - u. Suppose 0 = 28*w - 160 - z. Calculate the smallest common multiple of w and 396.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570415?\nAnswer: 5, 114083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(1216)*-2*2 + (sqrt(1216) - 3*sqrt(1216)*-2) - ((sqrt(1216) - 1*(sqrt(1216) + 0)) + sqrt(1216) + (sqrt(1216) + 1 + 5 + sqrt(1216))**2)).\nAnswer: -4891 - 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/21693440 and -123\/21693440.\nAnswer: 21693440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 - 3*k + 7. Let n be v(-4). Solve 0 = 5*t + n + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*z**2 + 11*z**2 - 23*z**2)*(-3 + 18 - 2) to the form b + s*z**2 + g*z and give s.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/2 - 76592*h**2 - 255313*h\/2 - 51063 = 0. What is h?\nAnswer: -1, -2\/3, 51063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654258 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1702\/3? (a) 2 (b) -1472 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181466915, -181466911, -181466905, -181466897, -181466887?\nAnswer: -181466875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11321100 (base 4) in base 6?\nAnswer: 303440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 3. Let o be v(8). Let l be -2*(1 - (-3)\/(-2)). Solve o*g + l = 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*4*(-2)\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(25)\/sqrt(5)*-1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.87 + -1.93. What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 4, 79 in ascending order.\nAnswer: 2, 4, 9, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - -31) + 0 + 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (5 + -3 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*p = 24, -58*s + 57*s - 21 = 4*p. Let q(k) be the first derivative of 24 - 4\/3*k**s + 0*k**2 + 0*k. Let m(y) = -2*y**2. Determine q(m(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -2656200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380888539 to the nearest integer?\nAnswer: 19516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 256\/(-640)*(-2 - 19*(-1)\/7). What is the closest to -3\/5 in a, 1\/5, -0.1, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*d + 35 = 2*d, -4*d = -4*j - 40. Let t = j + 12. Find the third derivative of -3*r**2 - 6*r**6 + t*r**6 + r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:12 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aafp when four letters picked without replacement from apapf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*k + 8, -2*k + 4*k = 3*t + 1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118 and -49561.8.\nAnswer: 5848292.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-650607)\/34)\/(42\/(-20) + 27\/45) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1364042432 + -4?\nAnswer: -1364042436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 10173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333078?\nAnswer: 2, 3, 43, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7552 and -99\/2360?\nAnswer: 37760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 280. Let r = d - 387. Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 144.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Suppose 5*t + 4 = -k, 3*t + 3*k + 12 = -2*t. Factor t*a**2 + 3*a**2 - 4*a**2 + a**3 + a**z - a.\nAnswer: a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8858.9 and -2.866.\nAnswer: 8856.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 41*m**4 - 30*m**2 + 3*m + 3. Let i(p) = -82*p**4 + 59*p**2 - 5*p - 5. Let w(k) = 3*i(k) + 5*x(k). Find the third derivative of w(t) wrt t.\nAnswer: -984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 19*f + 4. Let n be c(22). Calculate the remainder when 4 + (1 - 2 - (n - -37)) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110022\/185)\/(-66) - (-4 + -2 - 3)?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcggpfpcgpcgcgg. Give prob of sequence wf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -15)\/(-7)*(-8)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2919689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -20. Solve 4*s + l + b = 0, -4*s + 23 - 2 = -5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 135\/2*h**3 - 2 + 0*h + 3\/4*h**4 + 20*h**2 + 1\/300*h**5. Factor s(q).\nAnswer: (q + 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071308761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-138)*(-216)\/288.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40641 - 74294.\nAnswer: -114935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -g - 0*i + i, 0 = 2*g - i - 20. Calculate the remainder when 47 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = w - 0*w, 4*w - 2*g - 38 = 0. Let m be w*(-6)\/((-30)\/115). Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**4 + 550*h**3 + 11040*h**2 - 120960*h = 0.\nAnswer: -24, 0, 8, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276 + 309. Sort 1\/3, -3, u in decreasing order.\nAnswer: u, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 41. Let p be a(15). Suppose 2*x = -y + 87, -64 - 117 = -4*x + 5*y. Calculate the greatest common divisor of p and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*3*(-1*sqrt(192))\/(sqrt(20)\/(sqrt(20)\/sqrt(4)))*-3*-6.\nAnswer: -1 + 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/11*h**4 + 48\/11*h**2 - 4*h**3 - 18\/11*h - 2\/11*h**5.\nAnswer: -2*h*(h - 3)**2*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 o when three letters picked without replacement from jkrtikio?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 28. Let o be k(19). Let h be 9\/6*(-42)\/o. Let x(j) = -j + 6 - h + 3 - 4. Give x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -9. Let c = 33.6 - 31. Let f = t + c. Put 2, f, -3\/2 in descending order.\nAnswer: 2, f, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 39, -19, 104, -5 in ascending order.\nAnswer: -19, -5, -2, 39, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*a + 347*a + 142*a - 27645 = 1353*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631563 is divided by 210486.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 11*v**2 + 12*v + 12. Let c be r(12). Let b be (-39)\/(-6) - c\/8. Let d = b + -2. Solve -z = -d*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 2 (c) 3 (d) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - -2. Let g = 0 + v. What is the nearest to g in 4, -5\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 9*z**2 + 9*z + 15. Let k be o(10). What is v in -17*v**2 - 9*v + k*v**2 + v**2 + 8*v**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, 4, 56, 146, 286, 488, 764?\n\"Answer: 2*p**3 + p**2 + 9*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(300) - -1*sqrt(300)) + -5 - sqrt(300)) + -2 + sqrt(300) + 0)*3 + -3 + -5)**2.\nAnswer: -25560*sqrt(3) + 102241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jjk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 0\/(0 - -1). Let r(q) = -4 + 4*q + 0*q - 2*q - q. Let v be r(6). Are z and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a - 55. Let g = -34 - -28. Let j be t(g). Suppose 4*l - 7 = 2*p + 25, -l - j*p = -30. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22935 + -221.3.\nAnswer: 22713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/24)\/((t**(1\/31)*t)\/t) assuming t is positive.\nAnswer: t**(-55\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 15*p - 484. Let i(h) = -h**3 + 6*h - 242. Give 4*a(s) - 10*i(s).\nAnswer: 2*s**3 + 484","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -55. Suppose -b*v + 1071 - 381 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 18. Is (-4)\/(-6) - 134\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 18. What is the least common multiple of v and (-6)\/(3 - 45\/12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883582110 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-234)\/(-72) + 2\/(-8). Suppose -48 = -4*g - 4*y - 0*y, f*g - 26 = -y. Does g = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*r = -1805, -3*q + 36*r - 37*r - 1084 = 0. Let j = -357 - q. Let y(h) = -h + 7. Let v(f) = f - 6. What is j*y(o) + 5*v(o)?\nAnswer: -o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-1)\/(-4 - -3)). Let y = -1.33 - -0.75. Let f = y - -0.98. Which is the nearest to -1? (a) f (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71984 = -13*n + 225069 - 84503. Is n a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 + 4*w - 6. Let s be ((-9)\/((-9)\/62))\/1. Suppose 0 = -5*r - s + 167. Let p = r - 16. Give i(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-44)*(-4)\/1. Let l = 21.008 + -0.008. Let p = 20 - l. Sort -0.1, s, p in decreasing order.\nAnswer: s, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 19*t - 5 + 3 = -2*i, 0 = -7*i - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j**3 - j**3)*(2*j + j - 6*j) + 4*j**4 + 30*j**4 - 3*j**4 + (-4*j**3 - j**3 + 4*j**3)*(-35*j - 10*j + 72*j).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.203 rounded to 0 dps?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k**4 - 13*k**3 + k**2 + 8*k - 13. Let a(f) = 11*f**4 - 6*f**3 + 4*f - 6. Let i(t) = 13*a(t) - 6*z(t). Find the third derivative of i(u) wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1057*i + 1953*i + 6165*i to j*i + q and give j.\nAnswer: 7061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 129 = 5*a, 2*c - 3*a + 57 = 2*a. Let h = c + 44. Is -17*10\/h*2*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 468 = 5*v, 4*b + 1824 = 8*b - 4*v. Let w = -443 + b. Solve 3*z = a - 2 + 3, -5*a + 5*z = -w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47726 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*f + 1 + 54, 0 = 5*w - f + 43. Sort -3, w, 4 in decreasing order.\nAnswer: 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (4 - 28) - (-4 - (-16 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/536 and -49\/16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.25 (c) -27 (d) 1\/6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f - 1. Let a be d(-1). Suppose 3*o - 25 = -2*o. Let k(q) = -q**2 + 7*q - 8. Let c be k(o). Sort c, 5, a in descending order.\nAnswer: 5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 34 + -5 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**4 - n**4 + 42 + n - 3*n**4 - 90 + 45 - 3*n**2 + n**3 in the form s*n**4 + j*n**3 + a*n + c*n**2 + u and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263418*u + 263433*u + 263435*u - 1053757*u + 263445*u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 7 (b) -1 (c) -2 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Suppose -4*k - 16 = q, 0*k + 2*k = -4*c. Is (c - -307 - -1) + 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1212 + -465226?\nAnswer: -464014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-7)*(9\/(-27))\/(9\/1350)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1)\/t)\/((t\/(t*t**(-5))*t)\/t))**(-1\/63)*(t**4\/(t*t\/(t*t\/(((t\/t**(-3\/5))\/t)\/t)*t*t*t)*t))**(5\/3) assuming t is positive.\nAnswer: t**(676\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6*q - 5. Let p be t(-7). Factor -2\/11*s**3 + 2\/11*s + 0 - 2\/11*s**p + 2\/11*s**4.\nAnswer: 2*s*(s - 1)**2*(s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {v: 1, a: 1, x: 1, r: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/29 - (7986584\/(-232) + 18)?\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1752 - 36776\/21. Let l be (-1)\/3*1 - 221272\/51. Let z = 65137\/15 + l. Calculate the common denominator of z and t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.096 and -14?\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1132783 kilograms to nanograms.\nAnswer: 113278300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 + 7*c - 964. What is the thousands digit of n(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 8. List the prime factors of ((-43350)\/(-357))\/(x\/(-7) - 1).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 19*a**2 + 9*a + 12. Suppose 3*s = -0*q + 3*q - 105, -3*s = -5*q + 169. Calculate the least common multiple of p(-10) and q.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1639548 divided by -47\nAnswer: -34884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19835728 and 62436?\nAnswer: 654579024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4305\/(-41) + (-71572)\/(-696).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22183 is divided by 10625.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:28 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17612*c = 84401 + 813811 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h - 92 + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1768\/1105)\/(-15*8\/(-100))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0*h + 1 + 2*h)*(12 - 12 - 2*h) in the form c*h + w*h**2 + f and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + q = 4*q + 141, 0 = -3*x + 2*q + 105. Suppose -7*u - x = -411. What is the remainder when 161 is divided by u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*l + 41. Let p = 75 - l. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 - 46*k**2 - 83*k - 51. Let p(g) = 7*g**3 - 47*g**2 - 85*g - 51. Let w(f) = 10*n(f) - 11*p(f). Let w(c) = 0. What is c?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048 divided by -307?\nAnswer: -1048\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i - 138*i - 15*i)*(0 - i**2 + 0) + 2*i - 4*i**3 - 2*i.\nAnswer: 173*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*q = -y - 13, 4*y = -2*q + 42. Let u be -3*((-22)\/6 - -5). Is y smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/15 + 838*w\/15 = 0. What is w?\nAnswer: -419, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277 or -256?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (23\/115)\/((-21)\/30)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11011100010001000 (base 2) to base 12\nAnswer: -55320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o. Suppose 0 = -2*v - 3*p - 2*p + 115, -2*v = 2*p - 118. Suppose -56*y = -v*y - 20. Let z(i) = -6*i**2 - 5*i. What is y*n(k) - z(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**6\/90 + s**4\/24 + 29*s**3\/3 - 15. Let u(w) be the third derivative of x(w). Determine u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, 1, -2, 2, 4 in increasing order.\nAnswer: -2, -1, 1, 2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(242) + -1)**2 + -1 - ((-1 + sqrt(32))*-1*3)**2.\nAnswer: -55 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1254 + 1302 + (1 - 43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -59. Let f = 0.11 - 3.11. Which is the closest to f? (a) -0.5 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -978.\nAnswer: 65\/978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55444723?\nAnswer: 29, 1911887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467840 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 52. What is s(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c - 683. What is k(-72)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 899, 1358, 1833, 2330?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270517003, 270517002, 270517001, 270517000?\nAnswer: 270516999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 31*w**4\/12 + 75700*w. Let g(f) = f - f - 3*f**2. Determine o(g(p)).\nAnswer: 279*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2620, 2311, 1940, 1507?\n\"Answer: -31*y**2 - 216*y + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -9. Let n = u + 79. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 196. Let t(c) = 6 + 4 - 11 - 3 - h*c**2. Let o(y) = 7*y**2 + 7. Determine -3*o(n) - 5*t(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12193 + 3173 = 0. What is the tens digit of n\/(-6) - 1\/((-12)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = -3*l, 2*l - 8 = 2*f - 16. Let g(d) = -d + 1. Let s(r) = 4. Calculate f*g(n) - s(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4263325 (base 7) in base 9?\nAnswer: -872037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 69*x + 575. Does 46 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dngqnqqtznnqtt. What is prob of sequence zdgt?\nAnswer: 1\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50150700 not equal to 50150699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 7) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 41 = -33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4537, 9\/10, 2, -2, 5, -0.5, 4 in ascending order.\nAnswer: -2, -0.5, 9\/10, 2, 4, 5, 4537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 + 121986031 - 121986031 - 33*s**3.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/10 + (33 - 26). Put -1.2, b, 3 in increasing order.\nAnswer: -1.2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*b - 57*b - 1 + 2 to s + a*b and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1, 10 in decreasing order.\nAnswer: 10, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.053 - 1.147. Let g = 0.8 - 0.7. Let z = g + u. Round z to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 1, 21, 2\/397?\nAnswer: 2\/397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d03 - 1?\nAnswer: 6d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 643, 857, 1065, 1267, 1463?\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -2*(-5*((1 + sqrt(343) - sqrt(343)) + 5)*-2*3)**2).\nAnswer: -64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2 = c - 4*a, c + 5*a = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = 2*f. Let w = -6 + f. Calculate the common denominator of (-43)\/((0 + 9)\/w) and 20\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -5*a + 39, -o - a + 13 = 0. Solve 10 = -5*k + 5*g, 0 = -5*k + 2*g - 3 - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 51\/4 of a micrometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:10 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -22. Let u(z) = -56*z**2 + 1346*z + 9. Calculate the remainder when u(24) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1173)\/(-391)*10\/(-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 586607923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -t + 22, 1 + 5 = 3*t - 3*i. What is the lowest common multiple of 50\/6 + (-2)\/t and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*a + 21 - 1, 0 = -2*k - 4*a - 16. Suppose k = -2*c + 25 + 1. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 + 6*r + 9. Let y be p(-6). Let u = y - -9. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1689948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**3 - 2*x**2 + 2*x - 1. Let n be i(1). Suppose -n = -4*w + 3. Factor g**5 - 11*g**5 - w*g**5 - 3*g**4.\nAnswer: -3*g**4*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222 (base 5) in base 6?\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 8*r - 2. Let a be m(-3). Suppose -4*s = -u + 87, 0*s = 2*s + a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5196224.250507 - 5196222. Let m = -2.25 + b. What is m rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:47 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 117*p**2 + 46449*p + 39. Determine v(-397).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 2*l + 14. Let v be q(0). Let r be 2\/((-22)\/31) - -3. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 11. Let h(d) = -d - 2. Let o(p) = 11*h(p) + 2*u(p). Let w(v) = -4*v + 3*v - 3*v + 5*v. Calculate w(o(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78\/415 + -58409\/4980. Find the common denominator of r and 2\/(-35)*(13960\/384 - 20).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 15 + 5. Suppose 2*u + 3*y - 699995 = -2*y, -t*y - 2 = 0. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 86529.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73168 divided by 72?\nAnswer: 9146\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.558910668 minus -0.3?\nAnswer: -1.258910668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9*d - 1140 = 0. Let g be ((-3)\/4)\/((-19)\/d). Suppose -3*t + t = -3*n - 25, 2*t - n = g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 489*g**2 + 26*g - 13*g + 29 + 35*g - 486*g**2. What are the prime factors of n(-19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -706 and -7?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 2*i - 5. Let j be w(-4). Suppose f = -j*f + 176. Suppose -y = -3*y + f. Solve 5*u + 3*z = -y, 0*z = 2*u - 3*z + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*k + 8208, 30*k - 327 = -5*u + 26*k + 120 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189, 345, 503, 663?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15063576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90298 and 9568.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10340636 rounded to two dps?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 51851010?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11553317 and 53848.2.\nAnswer: 11607165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(sqrt(240) + sqrt(240)*-2 - sqrt(240)))\/((sqrt(50) + (sqrt(550)*2)\/sqrt(11))\/sqrt(10)).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 15*z = 32598. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 201*a**2 + 30 - 321*a**2 + 138*a**2 + 46*a + 2*a**3.\nAnswer: 2*(a + 1)*(a + 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*a - 779*a + 429*a - 1608*a - 3036*a in the form s + b*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5107? (a) 4 (b) -1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -1 (b) -0.08 (c) 5 (d) 2\/5 (e) -1229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23338 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let g(p) = -4*p - 3. Let n(v) = -3*v - 2. Suppose -5*c + 60 = 15*c. Let o(s) = c*n(s) - 2*g(s). Determine o(m(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 6. Let u be (-2)\/((-21)\/(-15) + -1). Let l = 1 + u. Does 13 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + h - 51, -4*x = -3*x - 4*h + 43. Let m = 29 - x. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*t, 3*i + 4*t + 4 = 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001144 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -9*p + 3*p. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 22*z + 1113. Let d be x(24). Let u be (-160)\/(-6) - 2\/(-6). What is the highest common factor of u and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 16}. What is prob of picking 4 w?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1554 and ((-114)\/(-30))\/(18\/(-5)).\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, -0.5, 6\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3355 - -3354.998549. Round r to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1174, -2, -24, 5 in descending order.\nAnswer: 1174, 5, 3, -1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 265. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(3\/5))**(-44)*(m\/(m*m**(2\/5)*m))**36 assuming m is positive.\nAnswer: m**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17633, -17625, -17617?\nAnswer: -17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {r: 1, q: 1, f: 2, i: 1, c: 4, e: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -100*v + 7. Let j(z) = 35*z - 2. What is 7*j(s) + 2*n(s)?\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -61. Which is the second biggest value? (a) 0.6 (b) -4 (c) -0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3445, 3146, 2641, 1924, 989, -170, -1559?\n\"Answer: -z**3 - 97*z**2 - z + 3544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/4 + -57\/28. Which is the second biggest value? (a) q (b) -1 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315257966 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78592.05 centuries in months?\nAnswer: 94310460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-5)\/45). Let b be (21 - 25) + (-168)\/g. Sort 5, b, 0 in ascending order.\nAnswer: 0, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v + 1. Let x be (-36)\/(-15) - 7\/((-210)\/(-12)). Let u be (-5)\/x + 4\/(-8). What is w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2\/11, -1156 in descending order.\nAnswer: 3\/5, 2\/11, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - h**4 + 2*h**4 + 2 - 2 + (0*h**2 + h**4 + 0*h**2)*(5 + 0 + 0) + 2*h**4 - h**3 + h**3 as t + p*h**3 + k*h**4 + x*h + c*h**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x - 27. What is u(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46020*n**4 - 2*n**3 - 3*n**2 - 557458*n wrt n?\nAnswer: -552240*n**2 - 12*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1166 + -661. Let h = c - 503. Factor 0 + 2\/7*b**5 - 6\/7*b**3 + 0*b + 0*b**4 + 4\/7*b**h.\nAnswer: 2*b**2*(b - 1)**2*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 25 = 11. What is the first derivative of -24 + 9*g + t*g + 15 wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130114 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/9)\/(31\/93))\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + ((-4 + (sqrt(162) - (sqrt(162) + -1)) + sqrt(162) + (sqrt(162) - (1 + sqrt(162) + 1)))*1)**2).\nAnswer: -180*sqrt(2) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oofu when four letters picked without replacement from {u: 1, w: 1, v: 2, o: 2, p: 2, f: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 - 83 = 88*m - 881 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2 - (-1 + 8)). Suppose -19 = -4*u - c. Suppose u*n - 15291 = -4*f + 10709, 3*f - 4*n - 19500 = 0. What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (721\/412 - (6 - 4))\/((-1)\/(-196)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455 + 459 - 910 + 140*b**3.\nAnswer: 140*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 2}. What is prob of picking 4 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7437 + 7418. Which is smaller: -17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 30*d + 3 - 147 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 453\/18 + 11\/(-264)*4. Solve c*h = 31*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-2)\/(-100))*144\/40*-1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 168 = 144 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*o**3 - 2*o**2 - 75*o wrt o.\nAnswer: 306*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 121 = 5*s + 5*m, 0 = -2*m + 8. Find the common denominator of 3\/s + (-6)\/(-14) and 77\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/17516 and 52\/453.\nAnswer: 52548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -0.1. Let r = -0.5 + 0.5. Let x be ((-9)\/15)\/1*280\/336. Which is the closest to d? (a) -0.3 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194d (base 14) in base 13?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v**2. Let d(m) = -m - 43969630. Calculate d(z(a)).\nAnswer: -6*a**2 - 43969630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*z = 111*z + 20015. List the prime factors of z.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23027.5 and -3?\nAnswer: -69082.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/8 - 333*w**2\/8 + 3*w\/8 + 333\/8.\nAnswer: -3*(w - 1)*(w + 1)*(w + 111)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 - (-408)\/(-56))\/((-6)\/7))\/((-2)\/114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 1064578524?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*t - 13 = -292*t + j, t = -j + 17. Let h = 186 + -21. Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*s - a**3*w + 2*a**2*s + 26*a*s + 38*s*w wrt w?\nAnswer: -a**3 + 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 5*w**8\/336 + 4*w**7\/105 - 19*w**6\/120 + w**5\/10 - 287*w**2. Factor s(f).\nAnswer: f**2*(f - 1)*(f + 3)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 155*x - 47*x + 22*x + 183*x as h*x + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 740*d - 376*d - 366*d - 6 + 3*d**2 as f + s*d + p*d**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.610138951 and 66.\nAnswer: 64.389861049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*d**2\/11 + 254*d\/11 - 28.\nAnswer: -2*(d - 7)*(15*d - 22)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -284 + 138 - 101 - 31*w. Let b be a(-8). Which is greater: b or -3\/62?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 1. Let q(j) = -2*j**3 - 3*j**2 + 2*j. Let t be q(v). Let o(d) = d + 5. Let h be (-1)\/5*20\/(-4). Let b(u) = 1. Calculate h*o(m) + t*b(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 28. Suppose p*b = 94 + 6. Suppose -u = 4*k - 31, 3*u - b = 4*k + 9. Calculate the greatest common divisor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*w - 4*w - 6*w + 0*w + 19 to v*w + a and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63964*l - 94*l**2 - 63964*l.\nAnswer: -94*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25348 + -2894. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let d be ((-20)\/14)\/((-16)\/112). Suppose 13*c = -d*c - 46. Let b(o) = o - 2. What is c*b(j) + 3*u(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29752 divided by 18409?\nAnswer: 29752\/18409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409.29554 rounded to one dp?\nAnswer: 1409.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33371, 33338, 33317, 33314, 33335, 33386, 33473?\n\"Answer: w**3 - 40*w + 33410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3\/4, -213513, -2 in descending order.\nAnswer: 3\/4, 2\/7, -2, -213513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**5 - 9*n**5 + 3*n**5)*(3 - 2 + 1) - 2*n**5 + n**5 + 2*n**5.\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -478*r**6\/15 + r**5\/20 - 209*r**4 - 2659*r. Find the third derivative of h(l) wrt l.\nAnswer: -22944*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -138, -466, -1102, -2148, -3706, -5878, -8766?\nAnswer: -12472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -18*w + 20. Let u(k) = k - 1. Let m(o) = j(o) + 12*u(o). Let d(s) = -2*s + 3. Let y be -3 + (87\/12 - (-4)\/(-16)). What is y*m(n) - 11*d(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 2*l**2 + 3*l + 3. Let n be c(3). Suppose 255 = -3*r - n*x, 4*r - 2*x + 158 = 2*r. Let h = -1 - r. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -1, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (24 - 171 - -13 - -22)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + 693. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = -0. Sort -1, 2, r.\nAnswer: r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - h = -3, -4*z - 17*h + 13 = -12*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59.4 and -27395101?\nAnswer: 27395041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blblbffffllfl. What is prob of picking 1 f and 1 l?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-368)\/(-72) + 2\/(-18). Suppose c*i - 70 = -2*o, 2*i - 49 = o - 12. Calculate the remainder when 78 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-94 - -95)\/(-1 + 1*12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 4.94. Let s be (((-8)\/14)\/(5 - 3))\/(-2). Let m = s - 13\/42. Which is the closest to -0.1? (a) v (b) m (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16493487 is divided by 3525?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.63 and 2.\nAnswer: -5.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/j**(-2))*j))**44\/((j**(-2\/27)\/j)\/j**4))\/((j**2\/j)**(-6\/5)*(j**(-2\/9)\/j)**(-16\/7)) assuming j is positive.\nAnswer: j**(44869\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-286)\/42826) - (-2)\/(-11). Let j = 150 + w. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*j - 304*j - 288 = -160*j - 4*x, 3*x = 2*j + 4*x - 144 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p - 20, 5*p = -5*c + 50. What is the common denominator of 29\/16 and 6\/c - 214\/60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439095, 439068, 439027, 438972?\nAnswer: 438903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 165, 333, 501, 669, 837, 1005?\n\"Answer: 168*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*y - 9 = -y, -a + 4*y = -12. Solve a*j - 8 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10040 and 314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104244, -104243, -104242, -104241?\n\"Answer: w - 104245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 10 = -5*c, -4*c + 3*w = -29 + 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313237038*m**4 - 37240685*m wrt m.\nAnswer: 3758844456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*j**6 - 146*j**4 - 4*j**3 + 46082*j**2 wrt j?\nAnswer: -2160*j**3 - 3504*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7 + 4*d**2 + 849033*d - 849035*d - 6*d**2. Determine z(-7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73142 and -36.\nAnswer: -2633112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, l: 1, g: 2}. What is prob of sequence cl?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 86. Let m = i - 18. Calculate the highest common factor of m and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from srrrrgrjjrgjjrjrjjr.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.2 (c) -5.28 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18033 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918494062.\nAnswer: 2, 89, 5160079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*h - 1, -142*h = -4*z - 139*h + 44 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*sqrt(110)*2 + sqrt(110))*-4)\/(-5*(sqrt(250) - -1*sqrt(250))).\nAnswer: 132*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2) + 4 + -5. Let y be 60\/l*(-3)\/2. Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 14*f + 259. Calculate the common denominator of 0 - -4 - (-335)\/f and 11*(34\/(-20) - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578067968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(28)) + 3.\nAnswer: 19 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**3 - 29*k**3 - 35*k**2 + 7*k**2 wrt k.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/5 + 158464*z**4\/5 + 2535096*z**3\/5 + 14576192*z**2\/5 + 35489152*z\/5 + 30418944\/5 = 0?\nAnswer: -79216, -6, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107441 is divided by 2365?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2499 + -2499.9. Let u be 46\/22 - 4\/2. What is the second biggest value in y, u, 0.2, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566816806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44145 - -4?\nAnswer: 44151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22504 + 22511. Let k(r) = 6*r - 24. Let a(t) = 9*t - 36. Calculate u*k(v) - 5*a(v).\nAnswer: -3*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r**4 - 1\/30*r**5 + 6*r**2 + 0*r**3 + 0*r + 0. Let a(z) = 2*z**2. Give a(x(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s - 35*s + 44 = 4*r, -4*r - 3*s - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*sqrt(78)*1 + sqrt(78))*-5)\/((1*sqrt(294)*2 + sqrt(294) - sqrt(294)) + -3*2*sqrt(294) + sqrt(294) + sqrt(294)).\nAnswer: 125*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3*c - 1050, -94*c + 288 = -u - 99*c. Which is smaller: u or -259?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:36 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6902, 27576, 62012, 110204, 172146?\nAnswer: 247832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2 of a microsecond in nanoseconds?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -9, -39, -81, -135, -201, -279?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -21*w + 111, -4*u + w - 52 = -3*w for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 2*b**2 - 3*b + 4. Let v be y(-3). Suppose 0 = 4*j + 5*i - 1 - 10, 0 = j - 2*i - 6. Let z(w) = -7*w - v + 0*w - 2 + j. Calculate z(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y**2. Let r = 0 + 2. Let z(l) = 88 - 88 - r*l. Determine k(z(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767111861 take away 1.966?\nAnswer: -5767111862.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 9*d**5\/20 + d**4\/12 - d**3\/6 - 3*d. Give c(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -2. Let f = 84 - y. Which is greater: 2\/5 or f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 27 = -2*a - 33, -5*a - 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7 - 17. Suppose 3*m - x = -0*m. Solve -7*c - 15 = -m*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let g(y) = -y**2 + 8*y + 17. Suppose 10 = -3*k + 4*k. Let l be g(k). Put 6, t, l in decreasing order.\nAnswer: 6, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -3*l + 4 - 16, 0 = 3*l - o + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 4*m - 180, -66*m - 31*m + 3848 = 6*p - 3*p - 517 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 13*p + 76*p.\nAnswer: 69*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**3 + 1\/20*n**5 - 2*n + 21*n**2 + 0*n**4 + 0. Let r be u(0). What is the highest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/9 + 3971741*q**4\/9 - 11915210*q**3\/9 - 15886952*q**2\/9 = 0.\nAnswer: -1, 0, 4, 3971738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*c + 8 = 0, -4*u + 28 = -4*c + c. Sort u, -3, 5.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 9*q = -9*q. Let f(g) be the third derivative of -1\/12*g**5 + q*g - 4*g**2 + 0 + 0*g**3 + 5\/24*g**4. Factor f(a).\nAnswer: -5*a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 + 627 + 381 = -66*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12518481 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393 not equal to 1396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*p - 144 = 143*p. What is the third derivative of -4*s + 0*s**2 - 14*s**3 - 57*s**3 - p*s - 6*s**2 + 3*s**2 wrt s?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/76845 and -48\/15275.\nAnswer: 4994925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 74?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507 + -496. What is the remainder when 248 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -470.8211.\nAnswer: 470.8211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*j*n*y**3 - 4489*j + n*y**3 + 240*n*y**2 + 5*n*y + 11*n + 58*y**2 with respect to j.\nAnswer: 159*n*y**3 - 4489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29271 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11416 and 3.\nAnswer: 34248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 8*q - 319. Put -3, 4, q in descending order.\nAnswer: q, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b - 82*b - 3*b**2 + 491 - 16*b - 11.\nAnswer: -3*(b - 4)*(b + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1553*l**5 + 5*l**4 - 4*l**3 + l + 21835 wrt l?\nAnswer: 31060*l**3 + 60*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.4656 rounded to zero decimal places?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27204 - 11?\nAnswer: -27215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198305, 396604, 594905, 793208, 991513, 1189820?\nAnswer: 1388129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v - 1. Let r(x) = -4*x**2 - 6*x - 6. Let y(g) = -g**2. Let q(o) = -r(o) - 6*y(o). Give 6*f(l) + q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3934173, 3934172, 3934169, 3934164, 3934157, 3934148?\n\"Answer: -l**2 + 2*l + 3934172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {i: 1, s: 7, r: 1}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -10. Let s be p\/8 - (-10)\/40. Solve -s*b - 10 = -j, b - 2*j = 3*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i - 4*i + 2*i)*(-1 + 6 + 2)*(1 - 3 + 4) + (4 + 0 - 3)*(4*i - 3*i - 3*i) - 4*i + 0*i + 3*i)*(-4*i - 7*i + 3*i).\nAnswer: -88*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 21. What is the remainder when 39 is divided by k(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39196.307 to the nearest ten.\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8310674 rounded to two dps?\nAnswer: 5.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10657536.\nAnswer: 2, 3, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.0531 rounded to 1 decimal place?\nAnswer: 148.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3*g**3 + 0*g**3 + (g**2 + 0*g**2 - 2*g**2)*(3 + g - 3) + 15*g**3 + 0*g**3 - 100*g**3.\nAnswer: -84*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 134023125 to the power of 1\/3, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 1\/4, -18.8, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199 - 3233 - (2 + -119)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 13*b - 385. Let s be (b\/33)\/(3\/(-9)). Let v(k) = k - 9. Calculate v(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 334 (c) -0.1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4+-2911.62\nAnswer: -2915.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 11\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -19 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 5378 = -2462. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 54*f - 1424. Give k(51).\nAnswer: -1577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Suppose a + c - 6 = 0. Let k = 13 - a. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:01 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/29)\/u**13*u**12*u*((u\/(u\/u**(-12)*u)*u)\/u)\/u)**(-1\/16))**24 assuming u is positive.\nAnswer: u**(606\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4\/r**(-2\/7))\/((r\/r**1)\/r)**(2\/13))\/(r*(r*r\/((r*((r\/r**(-3\/7))\/r)\/r)\/r*r))\/r*r**(2\/9)*r*r*r*r**(2\/15)*(r**3*r)\/r) assuming r is positive.\nAnswer: r**(-14281\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -24*s - 499. Let g be o(-21). Let w(y) = y**3 - 23*y - 6. Give w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, 50, -3, 0.3 in descending order.\nAnswer: 50, 0.3, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 154\/264*-12 + 3*1. Let v(p) = -2*p - 7. Let g(d) = -d - 3. What is u*v(y) + 9*g(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-2\/35)\/(((y*y*y*y\/(y**(-4)\/y)*y*y)\/y)\/(y*(y\/(y**(-1)\/y)*y*y*y)\/y))*(y**(1\/3))**(-12)\/(y**(-7)*(y*y**(1\/5))\/y) assuming y is positive.\nAnswer: y**(-214\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 + b**3 - 4*b**3 + (1 - 1 + b**2)*(-3*b + 3*b - 6*b) in the form g*b + o*b**3 + k + y*b**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -686 (base 10) to base 13\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - t + 6486, 6525 = -4*d + 2*t + 1335. Let v = d - -5241\/4. Find the common denominator of -31\/10 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22724 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose q = 4*a + p - 2 - 9, a + p = 5. What is the third derivative of -7*w**a + 5*w**3 + w**3 + w**3 - 4*w**3 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 + p**5\/5 + p**4\/3 - 13*p**3\/3 - 8*p**2. Suppose -3*k = 18 + 15. What are the prime factors of q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000103 (base 4) in base 5?\nAnswer: 343212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.37 - 8.576. Round a to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58 + 287.58. Let i = f + -321. What is the third biggest value in -0.1, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.8 + -18. Let y = 3043 - 3043.4. Put 2\/97, y, 0.1, l in ascending order.\nAnswer: y, l, 2\/97, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3101 + 3292. Solve 5*j + d = 206 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.236 and 494825.586.\nAnswer: 494818.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 6 - (1 + -5). Let r be (-1)\/(-10) - y\/(-2). Suppose 23 + 73 = 96*q. What is the smallest value in 2, 0.5, q, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 49 - 265 = 0. Is 23 a factor of (3 - (-15)\/(-6))*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = 0, 0 = -5*d + d - 2*o + 2. Suppose 0 = 3*h - 29 + d. Are h and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 650 = -15*b. Let d = b - -130. Sort 7, 4, 5, d in decreasing order.\nAnswer: 7, 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:08 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/96768 and -80\/231.\nAnswer: 1064448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t + 74. Let g be (0\/(-1) + -3)\/(87\/(-638)). What is the tens digit of v(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42137.21193 and 0.1463?\nAnswer: 42137.06563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/72*m**4 + 1\/1080*m**6 + 0*m + 0*m**5 + 0 - 55*m**2 - 1\/27*m**3. Suppose l(q) = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-2071)\/(-4))\/(63\/(-42)). Let t = -1087\/3 - g. What is the common denominator of 34\/(-36)*(-2)\/1 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/((-20)\/(-27150)). Suppose 0 = 2*i + 266 - z. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 510\/24 - (1\/6 - 4719\/2178). Solve u*n**3 + 0*n + 0 - 9\/2*n**4 - 15\/4*n**2 = 0.\nAnswer: 0, 1\/6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1498 by 3319.\nAnswer: 1498\/3319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 35*y - 310. Let h be o(10). Suppose -32400 = 16*t - h*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 1, m: 2}. Give prob of picking 2 m and 1 q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5193*o - 2587*o + 0 - 2607*o + 0.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 17*n. Calculate the remainder when 54 is divided by h(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007 = -8*j + 191. Let x = -269 - j. Let g = -108 - x. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1236*d**3 + 15*d**2 + 15*d. Let q(b) = 3*b**3 - b**2 - b. What is 3*f(p) + 45*q(p)?\nAnswer: 3843*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by -84\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -76*v**2 - 15*v - 84. Let c(k) = -75*k**2 - 13*k - 72. Let i(t) = 7*c(t) - 6*h(t). Let w(l) = 3*l - 5*l - 3*l + 4*l. Give w(i(o)).\nAnswer: 69*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038457 + -7.9242.\nAnswer: -7.885743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - x**2)*(2*x**2 - 2*x**2 + 2*x**2) + 1 - 1 + 81518*x**4 + 48341*x**4 - 43113*x**4.\nAnswer: 86744*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*n - 2*n + r, 4*n - 15 = r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*u + 3, 73*u - 76*u + 2*f = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4688998967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.1 + 77. Let w = f - 4.2. What is the third biggest value in 2, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 37*j - 28*j - 28*j.\nAnswer: -101*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1936)\/sqrt(2))\/(sqrt(12)\/(sqrt(15)\/sqrt(5))).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1402 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*p - 3188 = -2*l, 4*l - 2540 = -p. Let u(c) = l*c - 636*c - c**2. Let m(k) = k. What is m(u(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1a15 (base 16) to base 10\nAnswer: -6677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48769, -95912, -143055?\n\"Answer: -47143*p - 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 782, 1579, 2378, 3179?\n\"Answer: b**2 + 794*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 - 200*s**3 - 324268*s**2 - 12382624*s + 2944791360 = 0. Calculate s.\nAnswer: -172, 79, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 10*t + 12. Let v = 9 + 0. Let o be x(v). Suppose -o*q + 12 = q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 923*s - 30139 - 28010 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(560) - (sqrt(140)*1)\/sqrt(4))*4)\/(sqrt(30)\/sqrt(6)*-2 - sqrt(50)\/(sqrt(10)*2)).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o - 3*o)*((1 + 4 - 3)*(2 + 2 - 2) + 2 - 2 + 1 - 8 + 31 - 16) to x + n*o and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/255 and -67\/60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6746500 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/156808 and -49\/4.\nAnswer: 156808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.11815 (c) -5 (d) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 204*k - 1 - 3967*k + 1 to the form g*k + s and give g.\nAnswer: -3763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 12325 - 3001 = 0. Let g = -500 + v. What is the greatest common divisor of g and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/7 + 228310*s**2\/7 = 0. Calculate s.\nAnswer: 0, 114155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/3)\/((-12)\/(-1284)). Let f = z - -37. What is the common denominator of f and -97\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47883, 191532, 430937, 766092, 1196991, 1723628, 2345997, 3064092?\nAnswer: 3877907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11740684261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69416096.\nAnswer: 2, 59, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o = -780 + 972 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3090*o + 3. Let z be h(-3). Suppose -5*g = -z + 3133. Suppose -3*u - g = -7*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 + (-90)\/(-120)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026379 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + 109. Let g = -139.8 + v. What is the third smallest value in -3\/4, 0, g, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 404162*i**2 + 404165*i + 808326.\nAnswer: -(i - 2)*(i + 1)*(i + 404163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 6*u**3 + u**3 - u + u**3 + u + (0*u**2 - u**2 + 2*u**2)*(-1 + 1 + u) + 6*u**3 - 12*u + 12*u + u**3 - u**3 + 5*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13237 (base 10) to base 11\nAnswer: 9a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 5}. Give prob of sequence oss.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/261422 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*z + 264*z - 192*z + 2583*z as k + a*z and give a.\nAnswer: 2509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:12 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -3\/4 (b) 417 (c) -2\/1185 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 70.4. Let q = 0.2 + 4.8. Let g = q - 4. What is the nearest to 0.1 in -1, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458591860.\nAnswer: 2, 5, 173, 132541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21055.09 microseconds?\nAnswer: 21055090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -15*s. Suppose 7*n - 4*n - 105 = s. Calculate the remainder when 68 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 372, 381, 392, 405?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2200*n - 376199. Calculate g(-171).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of (9 - (-2012)\/(-12))*(5 - 65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 386*l**2 - 923*l**2 - 1148*l**2 + 249*l - 249*l in the form a*l**2 + v + y*l and give a.\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b - 33. Let n be g(10). What is the second derivative of -n*s + 2*s + 12*s**4 - 4*s wrt s?\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.8? (a) -2 (b) -1\/45 (c) 3 (d) -34\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 4*p**3\/3 + p**2\/2 + 6*p - 1. Let q(b) = b**2 - 15*b - 186. Let n be q(23). What are the prime factors of d(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-89)\/(-11) + 3012\/(-2761). Suppose 5*p - 3*p - 6 = 0. Factor -12*m + 15*m**p + 10*m**4 - 14*m**2 + 7*m**3 + m**4 - h*m**4.\nAnswer: 2*m*(m - 1)*(m + 6)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.39 + 3.39. Let m = -28246.5023 - -28207.5. Let z = m - r. Round z to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 1050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y - 7. Let u(d) = -8*d + 6. Calculate 5*r(b) + 6*u(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + 2*m**4 + 1 + 32*m - 22*m - 3 - 17*m to the form s*m**3 + v*m**4 + x*m + d*m**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -12 + 4 + 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(833) + 1) + -3*(sqrt(833) - (1 + sqrt(833))))**2.\nAnswer: 756*sqrt(17) + 30073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*p - 31. What is the least common multiple of 2*(0\/2 + 14) and p + ((7 - 4)\/1 - 1)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*g + 35, -844 + 689 = 3*y + 37*g for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 119. Suppose 0 = -0*n + 4*n - t. Solve -4*u - 4 = -4*m + m, 2*m - 4 = n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s**5 + 0*s**6 + 0*s**3 + 0*s + 5\/12*s**4 + 0 + 7*s**2 - 1\/14*s**7. Find the second derivative of w(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 4, t: 3, u: 2, x: 6, e: 1}. What is prob of picking 2 v, 1 q, and 1 e?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 13*r + 2. Calculate i(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -23*t**4\/12 - 574*t**3\/3 - 13*t**2 - t - 208. Calculate z(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/8 and -17\/308586.\nAnswer: 1234344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/21, 4, 28\/5, -13, -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -543 + -1530?\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 - h + 4. Let f be y(2). Let x = 33 - f. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 1. Let w = -28 - -18. What is the remainder when (-4 + 0)\/(w\/25) is divided by g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 0.484?\nAnswer: 1.3552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(13\/2))\/d**(7\/3) assuming d is positive.\nAnswer: d**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -5\/4, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1533 (base 10) to base 7.\nAnswer: -4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -44.1. Which is the nearest to l? (a) 2\/7 (b) 3 (c) -3\/2 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86301990?\nAnswer: 2, 3, 5, 19, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -166d912 (base 14) to base 11\nAnswer: -624a8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1976 - 1983. Let i(t) = 2*t**2 + 5*t - 10. Give i(x).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*1*24\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19536 - 1.515.\nAnswer: 19534.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.173*2\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9783\/1712 - 150\/107. Suppose 6*v = 3*v + 3192. Let y = v + -10627\/10. Find the common denominator of z and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*m**4 + 6*m**2 - 28*m**4 - 8*m**2 - 63*m wrt m.\nAnswer: -1608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 7*y**2 + 5 - 2 - 3 with respect to y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2184 = 5*a - 61. Suppose -5*b + 2200 = -5*n, -b + a = n + n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 3) + 0 + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 358. Let u = -390 + j. What is the nearest to 1 in -0.2, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 8050?\nAnswer: -8050.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(52) - sqrt(468)\/sqrt(9)) + sqrt(52))*5)\/(sqrt(196) + -3*sqrt(196))*3 + 1)**2.\nAnswer: -15*sqrt(13)\/7 + 3121\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -875171\/72 - -12156. Calculate the common denominator of g and 15\/368.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 68. Let r be f(7). Suppose -6*d + 255 = -d. Suppose -r*b + d = -1. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131809\/9 + 14646. Find the common denominator of 37\/122 and t.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k. What is the remainder when 19 is divided by l(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -123.6 and 0.08?\nAnswer: -9.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 58 = 2*v + 62, -40 = -2*j - 4*v. Let i = 86\/3 - j. Let y = -1.4 + 1.7. Which is the closest to -4\/5? (a) y (b) 1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a**6)\/a)))\/a*a*a\/(a*a**10)*a\/a**(-11\/5)*a*a\/a**19 assuming a is positive.\nAnswer: a**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 20.2. Let j be 54\/30 - (-4)\/(-2). Put z, 6, j in decreasing order.\nAnswer: 6, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 10. Let f(n) = -2*n + 9. Let b = -10 + 6. Let x(p) = b*f(p) + 5*l(p). Let v(o) = -o - 5. Calculate -11*v(r) - 4*x(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4094\/4541?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9186622 millilitres?\nAnswer: 0.0009186622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**5\/5 - m**4 + 2*m**3 + 4*m**2 - 8*m + 12. Factor c(q).\nAnswer: -2*(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17688 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (12\/(-21))\/(-4). Suppose -12*l + 16*l - h = -3, 5*l = 4*h - 1. Which is the nearest to f? (a) 1\/3 (b) l (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 39. Let d be 36\/6*h\/(-6). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*8\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.6, 1\/6, 5, 34\/9, 2\/15?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 2*g**3 - 3*g**3)*(-71*g**2 - 140*g + 137*g**2 - 70*g**2).\nAnswer: 8*g**5 + 280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289315176.\nAnswer: 2, 3, 12054799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 192 = -1292. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -843499*l**2 - 686041 wrt l.\nAnswer: -1686998*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1628 and 19\/14.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123311 + -113103?\nAnswer: -1303020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:25 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 327*w + 8521 - 3289 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 1834. Let f(n) = -2*n. What is i(f(k))?\nAnswer: 4*k + 1834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((14\/77)\/(-1)). Suppose l*p + 234 = 24*p. Calculate the remainder when 140 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128107 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 13. Let x be (y\/15)\/((-8)\/(-20)). Let d(p) = -3*p. Let m(j) = -12*j. Let i(r) = -9*d(r) + 2*m(r). Let f(v) = -3*v. Calculate x*f(z) + 2*i(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:23 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -k + 18, -18*q - 26 = -23*q - 3*k. Put q, -11, -1 in increasing order.\nAnswer: -11, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2 = 0, -27*i - j = -24*i - 25 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/5)\/(z\/((z*z**(8\/3))\/z))*(((z\/(z\/(z*z**(1\/2))*z))\/z)\/z)\/((z*z**(-13)*z)\/z) assuming z is positive.\nAnswer: z**(383\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71385816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-1)\/v)*v)\/v**(-2\/13))\/(v**(1\/2))**(-1\/6))\/((((v**(-4)\/v*v)\/v)\/(v**(1\/5)\/v))\/(v**(1\/2))**24) assuming v is positive.\nAnswer: v**(15941\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 62 = n + 11, -45 = -5*y + 5*n. Let o be -12*3\/y*-2. Let r(p) = 6*p - 3. Let f be r(3). Calculate the highest common factor of o and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -214 (b) 9 (c) -4 (d) -13 (e) -5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -151*v**2 - 2558*v - 8. Determine d(-17).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/2 - 119*s**4 - 608*s**3 + 119*s**2 + 1215*s\/2 = 0. Calculate s.\nAnswer: -5, -1, 0, 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -77980*y + 1. Let k(v) = v. Calculate k(g(c)).\nAnswer: -77980*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 362 + 52. Suppose 0 = 2*d - j - 1 - 8, j = -d. Suppose -5*a = 3*t - g, -2*a - d*t + 83 = -88. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (28\/(-25))\/((-62)\/(-155)) and 109\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36436 times -2\nAnswer: -72872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11764)\/986 - (-6)\/(-87)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/3081 - -343\/1027. Let k = 0.142 - -0.158. Which is the nearest to x? (a) 2 (b) -0.3 (c) 1\/4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63901469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 17 = 5*x - 0*w, 10 = -5*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**3 + 16630*m**2 + 105552*m + 33336 = 0 for m.\nAnswer: -6, -1\/3, 2778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - -88. Let m(g) = -g**3 - 6*g**2 - 6*g + 17. Calculate the remainder when j is divided by m(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 41. Let p = j - -27. Solve 0*r - r + p = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59d - 0?\nAnswer: -59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - v - 12*v + (-4*v + 6*v + v)*(2 - 2 + 2))*((-3 - 1 + 3)*(2*v - v - 2*v) + 5*v - 3*v + 0*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*g**2 + 49*g**2 + 2*g + 53*g**3 - 218*g**3.\nAnswer: -165*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 3538, 8235, 15166, 24541?\nAnswer: 36570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, 64, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5) + (5 - (8 - 8)). Solve 6*k + 0*k + 12 = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*l + 36 = 261*l. Let q be ((-135)\/81)\/((25\/l)\/(-5)). Let -81\/2*f**3 + 57\/2*f**2 + q*f**4 + 6*f**5 + 0 - 6*f = 0. Calculate f.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(1 - 4))\/(118\/354)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let w(o) = 841*o**2. Give m(w(b)).\nAnswer: 841*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -27, -39, -39, -21, 21?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**2 + 66*y**2 + 51*y**2 + 11*y**3.\nAnswer: 11*y**3 + 80*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 6. Let z = o - 4. Suppose -r - m + 31 = m, 118 = 4*r + z*m. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 + -18)*1*67. Let d = n - 269\/4. Which is bigger: d or 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtttqtt. What is prob of sequence qt?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:18 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126 - 122 + 16*t - 33*t - 68*t - 49*t to l*t + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2052 and 1530.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 4 + 6)*(55*z**3 + 30*z**3 + 6*z**3) as s + a*z**2 + t*z**3 + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 29*n = -29 - 41. Solve 0 = n*m + 392 - 420 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (27372\/(-68))\/((-7)\/119) is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 934 + -1376. Let g = x + 2212\/5. What is a in 4\/5*a - g*a**2 - 2\/5 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*r + 2*r**2 - 11 - 92*r + 6 + 5*r**2.\nAnswer: 7*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17a + 311e0?\nAnswer: 31065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 876 - -398?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/(-16)*(-2)\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1112012012120 (base 3) to base 6\nAnswer: 25213410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -21. Let t = -2 + 2. Let r(q) = -q**2 - q + 25. Let h be r(t). Calculate the greatest common factor of d and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 426587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r. Suppose h = 3*h + 2, r = -p + h + 146. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9815*l**2*p**2 + 2532*l**2*p - 45*l*p wrt p?\nAnswer: 19630*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 50*m + 288. What is the remainder when 234 is divided by y(-45)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + u + 1. Let r(c) = -4*c**2 - c - 2. Let j(g) = -2*r(g) - 3*t(g). Calculate j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - k - 2*k - 21, 23 = 3*a + 5*k. Suppose 4*y = y + 63. Calculate the remainder when 656\/(-24)*a\/(-4) is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 22*f**2 + 23*f + 2. Let a be p(23). Let y be (a - 1)\/((-18)\/72). Put y, 1, -82, 3 in ascending order.\nAnswer: -82, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.8 and -1.5296432.\nAnswer: -4.3296432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onnj when four letters picked without replacement from jnnjnjjjjonononoj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57625798 to the nearest integer?\nAnswer: 7591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 29*y = 7228. Let d(z) = 278 - y - 5*z + 13*z**3. Let f(u) = 13*u**3 - 4*u. Determine -4*d(o) + 5*f(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/(16\/(-3) + 5). Solve -4*l - f + t*f + 16 = 0, 2*l - 5*f - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(150)*-3)\/((sqrt(3) - (sqrt(3) + ((sqrt(18) - sqrt(450)) + sqrt(18))\/sqrt(6)))*-4).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -6)\/((-7)\/1176). Calculate the greatest common divisor of v and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12501*q**2*v*z**2 - 2*q*v*z - 3*q*v + 12*q*z**2 - v*z**2 wrt q.\nAnswer: 25002*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*t - 0*t. Let y(q) = 27*q - 9. Does 12 divide y(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5) - (-32)\/(-5). Is ((-60884)\/12 + h)*(-3)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00173 - -0.49827. Let z be 1 + -1 + 4\/14. Is z at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**3 - 6*s + 4. Let d(l) = 52*l**3 - 30*l + 20. Let r(x) = -6*d(x) + 28*n(x). Let r(b) = 0. What is b?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h = -55. Let v(r) = -63*r - 7. Let a be v(-5). Suppose 0 = -6*t - 50 + a. Calculate the remainder when t is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -4) + -4 + 21. Solve 0 = -3*u + i - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 5. Let m(u) = -u**2 + 7. Let g(h) = -5*m(h) + 7*o(h). Let y(i) = -2*i**2. Let c(b) = 3*g(b) - 2*y(b). Solve c(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kjkjjjkkkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/15 - 1282368*r\/5 - 3847094\/3.\nAnswer: -2*(r + 5)*(r + 1923547)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 - 5*l - 3. Let b be o(3). Solve -2*f = -f - j + 7, b = f + 2*j - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = 65*u - 67*u. Let i be (577 + 5)\/3 + 1. Calculate the highest common factor of u and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 10 - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:53 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(208) - ((1 + sqrt(208) - sqrt(208))**2*1 - sqrt(208)) - (6*(2 + sqrt(208) + 2))**2.\nAnswer: -8065 - 1156*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/77? (a) -16 (b) -1 (c) 3 (d) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4362 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, -2.3, 0.5 in decreasing order.\nAnswer: 0.5, -0.2, -2.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-57)\/6 - 0)*-10. Let p = f + -63. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Suppose -3*w = -f*w + 9. Let h be (-2)\/w - 5280\/(-54). Round h to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -19. Suppose k - 3*k = -10. Let b = k + t. Solve 4 - b = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6288)\/(-25))\/(-12) - -2) + -13 + 32?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1657*n - 3310*n + 1653*n + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 13*k**2 - 13*k + 5. Determine c(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n - 25*n**3 + 21*n**3 + 2*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1 + 20 = 0. Find the second derivative of 38*d**3 - 27*d**3 - 24*d - 10*d**3 + 38*d**k + 32*d**3 wrt d.\nAnswer: 426*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/2 (b) -0.4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480410140 divided by 84490.\nAnswer: 5686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 2*h**2 - h + 1. Let z be v(-3). What is the highest common divisor of z and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2988987, 2989003, 2989019?\n\"Answer: 16*h + 2988971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 + 22*k**3 - 2*k**3 + 112.\nAnswer: 2*k**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w + 909 = 35. Solve w*g - 11 = -2*n + 20*g, 4*g - 18 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x + 4. Let o(m) = -13*m + 7. Calculate 11*h(f) - 6*o(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10) + 5*115\/125?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253113?\nAnswer: 31, 40423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*w + 144*w - 20 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/29 in -16, -3\/5, -2, -5\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2196682 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 6)*72\/(-20). Let b = 34 + c. Suppose 4*v - z - 54 + b = 0, -2*v + 10 = 4*z. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three tenths of a meter?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:31 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(343) - (sqrt(294)\/sqrt(6))\/sqrt(7)) + (-1 + (sqrt(42)\/(sqrt(6) - sqrt(150)) - sqrt(7)))*-6)**2.\nAnswer: -342*sqrt(7) + 22887\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b1e (base 16) to base 6.\nAnswer: -3044514","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(-1 + sqrt(117)) - (sqrt(117) - (3 + 2*sqrt(117)))) + -4)*-5)**2.\nAnswer: -3750*sqrt(13) + 73750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 9. Is 2 a factor of k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6911\/1738 + -657\/158. Let n = 0.3 - 1.3. What is the closest to -2\/27 in l, 0.2, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + k**3 + 4 - 2 - 9*k + (7 - 3 - 2)*(-k**2 - 2*k**3 + k**2) - k**3 + 3*k**2 - 3*k**2 as o + f*k**3 + b*k + y*k**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 3*h + 20 + h - 5. Let z be r(-11). Suppose 0 = z*d - 16, -2*a + 5*d = 9 - 29. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15196848*m**3*q**4 - 2*m**3 - 2*m**2*q - 42*m*q - 2772*q**2 wrt q.\nAnswer: -364724352*m**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028228 divided by -34?\nAnswer: -30242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 5 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3431 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*v + 1285*v - 3796*v = 3887*v + 506688 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 29*q - 220. Let p(n) = 13*n - 109. Let a(s) = 2*b(s) - 5*p(s). What is a(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r + 3. Calculate the remainder when 67 is divided by f(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5967 - -0.5367. What is the closest to 0 in -1\/6, m, 0.12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 (base 10) in base 9?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*g - 11, -10 + 27 = -4*j - 5*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**9\/504 - j**5\/30 + 4*j**2. What is the third derivative of s(z) wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 13095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 9*z**2 - 1 - 4 - 2. Suppose -4*t + 10 = 2. Let b(j) = -3 - 21*j - 4*j**2 + 20*j + 0*j**t. Determine -5*b(h) + 2*w(h).\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114 times -1.4\nAnswer: 159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/4264 and 8\/16523.\nAnswer: 132184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 661*t**2 + 20*t - 78. Is l(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/11 + 678*j**3\/11 - 26068*j**2\/11 + 179568*j\/11 + 42624 = 0. What is j?\nAnswer: -2, 12, 33, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4074354276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1029, 3, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -4.06. Let j = -3.1 + w. Let d = 0.9048 - j. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1363615 and -1363641 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16597 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: Rearrange 9*u**2 - 9*u**2 - 37*u**2 to m*u + f*u**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 2*f. Let c be 105\/6 + (-2)\/f. Let b = 33 - c. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/18 and -157\/870.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 612 - 610. Let g = 4 + 0. Suppose -c*v = -g*v + 42. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -2 (c) 0.64 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2778*c - 2777*c + 34 + 5565*c.\nAnswer: 10*c + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 25*u**3 - u**2 - 4*u - 3. Let m be x(-1). Let q = m + 58. What is the greatest common divisor of 66 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21546 divided by 1090?\nAnswer: -10773\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 17. Suppose -5*u + 22 = 3*w, -4*w + 6 = -5*u - 0*u. Solve w*h - z + 14 = -j*z, h + 3*z - 4 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v**2 + 1. Let m be q(1). Let h be 4*2\/40 - 48\/m. Suppose h*t + 377 = 4*j, 2*j = 3*t - t + 186. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.1346 kilograms in grams?\nAnswer: 316134.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:00 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:06 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-13)\/(-11) - 217\/(-77). Factor -2*n**w + 2*n + 0*n - 1 + 0*n + n**4.\nAnswer: (n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9770 and 67413?\nAnswer: 674130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 971206 - 99?\nAnswer: 971107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.937 * 0.16\nAnswer: -0.30992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1336 and -14\/2171.\nAnswer: 17368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 20e50d?\nAnswer: 20e511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose 2*g + 9 = 3*n - 7, -5*n - 3*g - 5 = t. Suppose 5*o - 3*o - 204 = -4*y, -198 = -n*o - 2*y. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:55 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11468 + -11463. Solve 2*s + 8 = 4*m, m - 13 = -k*s - 0*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/41 (b) -5 (c) 22\/12907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13885872 divided by 143?\nAnswer: -97104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - 15 - l**2 + 5)*(0*l - 7*l + 4*l) to the form g + c*l + t*l**2 + i*l**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*-0.13.\nAnswer: 5.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = -5. Is x at most as big as 2\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100117867 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/8*(-17 - -14). What is the fourth biggest value in l, -1\/12, 23, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)*((t\/t**(-2\/17))\/t)\/t)**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (190\/(-12))\/(80\/(-144))*2\/24. Let p(f) be the first derivative of 2 + 17\/12*f**3 - k*f**2 + 1\/2*f. Factor p(n).\nAnswer: (n - 1)*(17*n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -41*g - 3. Let p(c) = 123*c + 8. What is -8*f(z) - 3*p(z)?\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294118000 rounded to the nearest one million?\nAnswer: 1294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-29 + 49) - 20 - 29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63 - (-2 + -2 - -4). Suppose 0 = -s + 117 + p. Let m = s - 58. What is the remainder when m is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 3*q**5\/40 + 145*q**4\/8 + 2*q + 157. Let i(c) = 0. What is c?\nAnswer: -145, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/6 - 31*d**3\/2 + d**2 - 3. Let q be l(-24). Solve 1 = -q*f + 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353*q**2 + 405*q**2 - 85*q**2 to k*q**2 + p*q + h and give k.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4890 - -9086. List the prime factors of z.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + h - 2, -h = 2*w - 2. Suppose -4*q + w = -8, 5*q + 10 = 5*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27421 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let p = -29 + 27. Let o be 2\/(-4)*p + 2. Sort 1, o, v in descending order.\nAnswer: o, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 p, and 1 h when four letters picked without replacement from qphwpqwqpqqyhwqopw.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1043*v + 71. Let g(f) = 9*f + 7. Let m(u) = 3*g(u) - s(u). Let k(o) = 63*o - 3. Calculate -50*k(a) + 3*m(a).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 33*b**2 - 9*b - 15. Calculate u(-10).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8355*a**2 - 2. Let b(q) = -4*q + 25. Determine b(k(g)).\nAnswer: -33420*g**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1054 + -2107\/2. Sort -0.2, -311, l in decreasing order.\nAnswer: l, -0.2, -311","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13907 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/19 - 10138*z**3\/19 - 242544*z**2\/19 - 102016*z - 5166080\/19.\nAnswer: -2*(z + 8)**3*(z + 5045)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-6)\/9). Calculate the smallest common multiple of 2 and (19 + 1)*s\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 15, -720*x + 7 = -721*x - f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvnt when four letters picked without replacement from {r: 9, v: 6, n: 2, t: 1, j: 1}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24 - -33 - (-15)\/(2 + -7). Let b(r) be the second derivative of -24*r - 1\/10*r**5 + 1\/45*r**p + 1\/6*r**4 + 0*r**2 - 1\/9*r**3 + 0. Factor b(i).\nAnswer: 2*i*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 11*d - 8. Let z be m(-8). Let a be (z\/32)\/(2\/20). Suppose 2*k = -2*p + 6, 4*p + 0*p - 3*k - 19 = 0. Sort -7, p, a in ascending order.\nAnswer: -7, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 128.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 * 292\nAnswer: -2861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, 1 x, and 1 o when four letters picked without replacement from {m: 1, o: 2, p: 2, r: 1, x: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((g**13\/g)\/g)\/g)\/g)\/g)\/g)\/g*g\/g**(-5\/8))**(-30) assuming g is positive.\nAnswer: g**(-915\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 - 42 = -h, 4*u - h = -121. Let v = 45 + u. Suppose -o = -5*f - 16, -5*o - 2*f + 3*f + 80 = 0. Calculate the least common multiple of v and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + (-15)\/18. Let w be (-98)\/(-105) - 2\/6. Which is the third smallest value? (a) w (b) q (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2332 (b) -0.3 (c) 1 (d) -2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, -3, 1, 5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:52 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(1\/2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -99. Suppose 5*v - 734 = -z*u + u, 1488 = 4*u + 5*v. Suppose -y - 42 = -u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296 - 68 - 215*m - 92*m + 82*m - 95 wrt m?\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from czczcczczcczzzcczz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 279*w - 285*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317392 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 94*k**2 - 498*k - 297. What is q(-99)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15980962 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 35976 = -8*x - 2*u, u = 4*x + 28773. Let k = x + 18937. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**3 + 0 + 1\/30*u**5 - 10*u**2 - 1\/3*u**4 + 0*u. Factor r(g).\nAnswer: 2*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a = 84*a + 81*a - 600. What is the smallest common multiple of a and 1078?\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 158, 171, 170, 149, 102, 23, -94, -255?\n\"Answer: -g**3 - g**2 + 23*g + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + (-6*(2*sqrt(512) - sqrt(512)) - sqrt(512) - (sqrt(512) + sqrt(512)*-2*-4)))*-3)**2.\nAnswer: -368640*sqrt(2) + 18877968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggl when three letters picked without replacement from {k: 2, l: 2, e: 6, g: 3, y: 1, q: 6}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 338406931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + ((-4)\/(-6))\/(10 - 196\/21).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 500995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = -5*s - 6, -96 = -5*k + 3*s. Let j(o) = -905*o**2 - 657*o**2 + 1563*o**2 - 6 - 8 - 20*o. Calculate j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2257*m**4*x**2 + 21*m**3*x**2 + 175*x**2 - x - 24 wrt m?\nAnswer: 9028*m**3*x**2 + 63*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 4. Suppose -9*o + 24 = -o. Suppose g = o*v + 6, -3*g + 4*v = 2*g - 30. Give f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/7*h**4 - 537\/7 + 228*h**3 + 2682\/7*h**2 + 540\/7*h = 0. Calculate h.\nAnswer: -1, 1\/3, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 24*z**2 - 215033*z + 5160790. Give g(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - 5 + 5)*(-11 + 16 - 16) - 138*j**2 + 220*j**2 - 139*j**2 to the form y*j + h + v*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -317, 3, 2 in decreasing order.\nAnswer: 4, 3, 2, -10, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9496 - -9517 - (1 + 18 + (4 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 501*l + 4. Let m(i) = -1369235*i - 10934. Let w(k) = 2*m(k) + 5467*y(k). Let g(t) = -t. Calculate g(w(x)).\nAnswer: -497*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-25)*-1 - -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -77*h**2 - 5*h + 5. Let c(y) = 372*y**2 + 24*y - 24. Let v(i) = 5*c(i) + 24*o(i). Let w(q) = 4*q - 12. Give v(w(x)).\nAnswer: 192*x**2 - 1152*x + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 132351719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9232 + -9232.86. Let i = 38 + -36.96. Let v = t + i. Which is the biggest value? (a) 3 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 5, c: 1, y: 3}. Give prob of sequence nenc.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -50*c - 5. Let g be h(-5). Let u be (-1196)\/(-69) - 16 - (-2622)\/18. What is the greatest common divisor of g and u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/3 + 9*r**2\/2 - r. Suppose 4*u + 0*b - 84 = 3*b, -2*u + 40 = -2*b. Suppose 0 - u = 4*k. Determine o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0.4, -5, -1\/33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4476)\/54831 + 1254\/4557?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(117) - sqrt(117)*3)\/sqrt(9) + sqrt(104)\/(sqrt(64)\/sqrt(8) + sqrt(8)) + 1.\nAnswer: -3*sqrt(13)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 1)*(0 - 2 + 4)*(-4*a + 2*a - 2*a).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**4\/9 - 3020*b**3\/9 - 15188*b**2\/9 - 3052*b\/3 + 3040 = 0.\nAnswer: -3, 1, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 0.08. What is the nearest to j in 5, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(20)*3*-2)\/(3*(sqrt(640) - (sqrt(640) + sqrt(640)*2) - sqrt(10))).\nAnswer: -10*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = -y + 16, 4*y - 4*q + 4 = 0. Let j be y\/(0 + -1) - 32\/(-14). Is 0.5 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56009 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 4*k - 18*k + 3 + 2*k + 2*k.\nAnswer: -18*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-28))\/((-28)\/(-49))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-6)\/21)\/(40\/(-105))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = k + 157 + 3, -4*v = -3*k + 640. What is the tens digit of -33*(v\/15)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1184 divide 2262624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:40 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628713307?\nAnswer: 71, 1567, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 14. Let n = -2 - x. Suppose 0 = -5*f + n*g, g = 3 - 1. Solve -3*b = -m - 2*b, f*b = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2227\/5 - -187723\/420. Find the common denominator of 1\/63 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21929, 21935, 21929, 21905, 21857, 21779, 21665?\nAnswer: 21509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 5. Which is the closest to -0.1? (a) w (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80661 + 333*x**2 + 80661 in the form o + u*x**2 + z*x and give u.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 4*v + 3*v + (2 + 2 - 2)*(1 + 3*v - 1) + 54*v - 23*v + 32*v to the form r + n*v and give n.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17334*b + 2. Let u(m) = -2*m**2. What is u(o(z))?\nAnswer: -600935112*z**2 - 138672*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18\/11 - -76\/33. Let d be -3 - (309\/(-44) + 3). Let s = d + -3\/11. Which is the second biggest value? (a) 0 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 260*j - 2043. List the prime factors of t(39).\nAnswer: 3, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1052 (base 7) to base 4.\nAnswer: -11330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t**(-23)\/t)*t*t**(-16)\/t assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 4, 15, 28?\n\"Answer: o**2 + 6*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19153*p - 27250.\nAnswer: 19153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-24) + 34\/8. Find the third derivative of 5*c - 6*c**a - c**2 - 5*c + 3*c**5 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2525, -47, 2\/5, -6, 3 in ascending order.\nAnswer: -47, -6, -4, 2\/5, 3, 2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 + 819*u**2 - 223587*u\/2.\nAnswer: -3*u*(u - 273)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1439884.971 seconds to weeks.\nAnswer: 2.3807621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18481361 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 10.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/((-39)\/(-416))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhjfxfxnxfxjhnnxf. Give prob of picking 1 n and 1 x.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/14)\/((-450)\/525).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*b**(-9)*(b\/(b*(b*b*b\/((b*b*b**(7\/2))\/b))\/b*b*b))\/b*b**(1\/7)*b)**(-19) assuming b is positive.\nAnswer: b**(-969\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 - (1 + (-2 - 1)). Let x = b + 6. Let d be -9 - x - (-1 - -580000). What is d rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7\/72*q**4 + 1\/120*q**6 + 1\/9*q**3 + 0*q + 0 + 2\/45*q**5 - 8*q**2. Solve f(i) = 0 for i.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 37, -4, -2, 5, 27 in increasing order.\nAnswer: -4, -2, 1, 5, 27, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2272 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 - 8*h + 0 + 7*h. Determine x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {d: 11, e: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2041 times -0.4\nAnswer: 816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 84, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktbtmttkbmtbtmmkkbm. What is prob of picking 3 b and 1 m?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = p + 1826. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 0*w - 4 + 63*w**2 - 65*w**2 + 5*w**3 - w. Let d be f(3). Suppose d = 4*j + 42. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/158646 and -47\/1956634.\nAnswer: 5869902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*z + 7 - 2 = 0, m = -3*z - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27694\/23 - ((-2502)\/(-207) - 12)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -7*b + 2*b. Let z be 6\/7*b\/5. Is ((-222)\/z)\/((-2)\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:44 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18160255*n**2 - 18160255*n**2 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 751467 and 3411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1128.03 - 1175. Let o = y + 46.9. Which is the closest to 6? (a) -5 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85816.1 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*r - k - 11, r - 1 = 3*k. What is the greatest common factor of r and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from pwpgnpkppkk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, -1\/5, 4.5 in decreasing order.\nAnswer: 175, 4.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -97*q + 298080. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.104 + 0.104. Let m be (41\/82)\/(1\/(-4)). What is the third biggest value in m, z, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -2 + 1\/30*u**5 - 3*u**2 - u**4 + 10\/3*u**3 + 0*u. What is the first derivative of a(h) wrt h?\nAnswer: 4*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 105*j + 826. Give w(9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**3 + r**3 - 23*r**3 + 3*r**3 - 14*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 477?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 + 1000010000111100011?\nAnswer: 1000010001000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 6) to base 11.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/20 + 8*l**4\/3 + 17*l**3\/3 - 23*l**2\/2 - 1436*l. Give z(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15\/(l*(l**11\/l)\/l)*l**(-7)*l*l\/(l**15*l) assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*g + 370, 0 = 2*d + 4*g - 16 + 266. Let o = d + 264. Suppose 3*f = 46 + o. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 29*h - 76. Let t be w(26). What is the third derivative of -53*g**2 - 5*g**2 - 152*g**3 + 33*g**t - 2*g**3 - 64*g**2 wrt g?\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 80 = -28*f. Let m(u) = 12*u - 9. Let d be m(f). Let c = d - 88. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157154 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12\/((-24)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*w - 9*w + 7*w + 12 - 15 to p*w + m and give p.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-51)\/(-105). Suppose 0*i = -2*i. Suppose 363*z - 367*z + 41 = -a, 0 = 4*a + 3*z - 26. Sort a, i, 0.2, c in increasing order.\nAnswer: a, c, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 - 5*a - 42. Let f be n(-6). Let m = 10 + -6. What is the remainder when f\/(3*(-4)\/8) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-2 - (-2 + 4). Let k(d) = -d**2 - 1. Let a(y) = -4*y**2 + 10*y - 17. Let g(j) = a(j) - 6*k(j). Does 20 divide g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 12*l**2 + 13*l - 16. Suppose 9*o = 7*o + 22. Determine k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10768 + -10726 + 6632\/(-158)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 159*x**2 + 43*x + 169. Let z be k(-4). What is the greatest common factor of 42 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 1.98. Let g = 181 - 58. Let n = -1352\/11 + g. What is the closest to 1\/3 in n, x, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, 14, 44, 74?\n\"Answer: 30*o - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 2, k: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545300 + 0?\nAnswer: 545300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + s = w + 14, -4*s + 4*w - 24 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9300*f**2 - 155*f - 155. Let d(c) = 179*c**2 - 3*c - 3. Let v(m) = 155*d(m) - 3*t(m). Let x(g) = -2*g. Give x(v(w)).\nAnswer: 310*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9*-945923\nAnswer: -8513307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g**2 - 109*g**2 + 1492*g**2 + 228*g**2.\nAnswer: 1744*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 53*s - 2928 = 0. Suppose -729*r = -s*r. Is 318 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 3\/7, 3\/5, 131, 0, 2\/5, 0.26?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -27*l**3 - 36*l**2 - 36*l. Let o(x) = -x**3 - x**2 - x. Calculate f(d) - 36*o(d).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.11216*-114\nAnswer: -12.78624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 - 8 = 2*d, -j + 3*d - 3 = 0. Let b = j + -3. Calculate the least common multiple of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*c + 6. Calculate the remainder when 89 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + 8*z - 10*z)*(2 - 2 - z)*(-2 - 7*z + 2) - 12*z**3 - 100*z + 100*z.\nAnswer: -124*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15235 + 15235. Let o(w) be the third derivative of 1\/12*w**5 - 15\/2*w**3 + 25*w**2 + 0 + 0*w + p*w**4. Factor o(f).\nAnswer: 5*(f - 3)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14. Suppose -3*n + 4*z - 8 = -15, 2*z + 21 = 5*n. Sort m, n, 3 in ascending order.\nAnswer: 3, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 11*i**2 + 27*i + 12. Give x(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -4267962 and -157914588\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 + 7*w**3 - 7*w**2 - 16227*w wrt w.\nAnswer: -12*w**2 + 42*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 4*x - 4*x)*(x - 3*x + 0*x) + 4 + x**2 - 4 as l*x + q + o*x**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8) - (-54)\/24)*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 = 33*c - 991 + 408 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + i + 16 = -x, -3*i + 165 = -x - 9*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 318*l**3 - 13*l**2 + 2*l - 6. What is the units digit of n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -409 from -2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 51*p**2 + 4924*p + 6086094. Let q(f) = -10*f**2 + 2*f - 1. Let j(x) = -10*q(x) - 2*t(x). Factor j(n).\nAnswer: -2*(n + 2467)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 11223?\nAnswer: 123453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 19*j - 601. Calculate s(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 0.21188?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-25) + -4)\/((-4)\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (5 - 2)) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29118775?\nAnswer: 5, 7, 166393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 - 672*c + 1350.\nAnswer: -3*(c - 2)*(c + 450)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 1952518802?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.5 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1470 = -4*k, 0 = -5*d + k - 0*k + 2450. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -3. Let p = 0.03 - -0.27. Let x = 6 + -5.6. Put x, p, o in descending order.\nAnswer: x, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30350 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -4223?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f*u*v**3*x - 167*f*u*v**3 - 42*u*v**3 + u*v**2*x + u + 2*v**3*x - v**2*x wrt f.\nAnswer: -10*u*v**3*x - 167*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from {u: 12, m: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsdsedsdeszsed. What is prob of picking 1 d and 1 s?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -32*d**2 + 7*d + 1. Let v = -10046 - -10059. Let a(c) = 64*c**2 - 15*c - 2. What is v*q(r) + 6*a(r)?\nAnswer: -32*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2 - 8*k - 4. Determine h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -380969\/5333028 - -79\/1244. What is the common denominator of -50\/33 and i?\nAnswer: 47157","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928003.\nAnswer: 3, 13, 193, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2233 and 447558769.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -291.0117 + 291. Round a to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 2, o: 4, q: 9, i: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390 + 390.11. What is the nearest to -2\/7 in -7\/2, g, -5, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1208 and -17\/302871874.\nAnswer: 1211487496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*z - 24, 3*z - 18 = 4*o + 20. What is the remainder when 15 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1222271.64 milliseconds?\nAnswer: 0.0141466625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 382 = 3*o, 4*o - 937 = 4*c + 591. Let r = c - -915. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 64535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23829.57 months in decades?\nAnswer: 198.57975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14755378 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -54. Suppose i*a = -s - s + 298, -155 = -a - 4*s. Let c = -44 + a. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(15561\/76))\/((-4)\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -1, -1\/2, -478?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2. Suppose -2*q - u = q - 5, 2*u = 2*q - 14. Let v(i) = q*i - i - 2*i - i. Calculate m(v(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 1095*b + 98084. Determine y(99).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 88, 55, -52, -275, -656, -1237, -2060, -3167?\n\"Answer: -7*l**3 + 5*l**2 + l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*v**5 - 11*v**3 + 5360*v**2 wrt v?\nAnswer: -1260*v**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.02 + 2.22. What is b rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*r - 5*c, -5*r - 2 = -5*c + 3*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3\/6 - 9*y**2\/2 - 2*y. Let h be v(-8). Which is bigger: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/9 + 29872*m**2\/9 + 55771024*m\/9.\nAnswer: 4*m*(m + 3734)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1608 divided by -4\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o**2 - 2*o**3 + 51*o**2 + 59*o**2 - 191*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2*x + 2*x + (-4 + 4 + 2)*(3*x - x + 0*x) + (1 + 0 + 1)*(-2 + 2 + 3*x) + x + 0*x - 2*x - 3*x + 2*x - x in the form o*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -3710?\nAnswer: -3709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 441790 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 103 + 115 = -2*y + 29 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1 (c) -45 (d) -22 (e) -5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -632*u**2 + 1274*u**2 - 641*u**2. Let q(b) = -227*b - 1. Give q(x(y)).\nAnswer: -227*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyuyyuuyyyyuuy?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/4 + 7*z**2\/2 + 2*z. Let b be (1 - -3)*3\/4. Suppose -b*l = 3 - 18. Let i(y) = -4*y**2 + 8. Give l*m(o) - 4*i(o).\nAnswer: o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3 + 406*r**2 + 386*r - 2?\nAnswer: -18*r + 812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 82*j + 90*j**2 + 145*j + 313*j + 1080.\nAnswer: 5*(j + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o**2. Let z(c) = 6*c**2. Calculate z(b(m)).\nAnswer: 600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 126*i + 20402. Let n(l) = 76*l + 10201. What is 5*n(a) - 3*z(a)?\nAnswer: 2*a - 10201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 14*k + 570 = 0. Suppose -90 = -4*t + 3*l, 2*t - 3*l - k = -3*t. Let a be 498\/t + 9\/(-12). Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 g when four letters picked without replacement from {n: 3, g: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 7*p - 5. Let t = -5 - 3. Let u be s(t). Find the second derivative of 3*q**2 - 2*q + u*q**3 - 2*q**2 - q**2 wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28362*r**2 + 684*r - 343*r - 4786*r**2 - 341*r.\nAnswer: -33148*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -118 (b) 22.9 (c) -187 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 16. What is r(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 17*g**2 - g + 9. Is w(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x + 5. Suppose m - 4*d = -3*d - 3, -3*d - 9 = 0. Let i be h(m). Solve 1 + i = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6223183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.8569 and -13.1?\nAnswer: -76.72539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -7*b**5 - 3725*b**4 + 11395*b**3 - 11765*b**2 + 4280*b - 569. Let o(a) = 0. What is a?\nAnswer: -428, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 3 = 0. Let q(x) = -x**2 + 2*x - 9. Let m be q(5). Let s be (z\/2)\/((-1)\/m). Solve 4 = -4*b - s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 549.0396 decades?\nAnswer: 65884.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(-3 + (-5 + (sqrt(475) + -1)**2 - -1*(sqrt(475) - (2*sqrt(475) - sqrt(475)))**2) + -1).\nAnswer: -2802 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6506, 1\/11, -16 in ascending order.\nAnswer: -6506, -16, 1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 16*j - 2*r = -13, 1 = j + 2*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 42391*y - 635642. What is k(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5295 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8320)\/(-896)*(-63)\/105?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -43*y**3\/3 - 3*y**2\/2 - y - 56. Differentiate x(p) wrt p.\nAnswer: -86*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*w = -i - 4900, i - w = 2460. Let l = i - 277. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05399952 - -0.054. Round m to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -5944.7761.\nAnswer: -1783.43283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -1 + 55. Which is the smallest value? (a) -3\/5 (b) h (c) -1 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riggrgrgrgirgg. Give prob of sequence rrgi.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 3*u**3 - 29 + 30 - 2*u**3 to n*u + y*u**3 + r*u**2 + x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 78. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -181*y + 9. Let w be u(7). Let b be -2*26582\/42 - (-266)\/2793. Let t = w - b. Find the common denominator of -9\/4 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0533486 (b) 3 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1370, 2173, 3512, 5387, 7798, 10745?\n\"Answer: 268*x**2 - x + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 693*v**2 - 93 - 209*v**2 + 50 + 46 to the form i*v + g*v**2 + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - z**2 - z - 4. Let p be v(-3). Let k be 8\/p - (-3606)\/11. Let g = -231 + k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 98\/5. Let z = 11.22 - 0.22. Let f = -18 - -17. Which is the third smallest value? (a) f (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -78, 2, -3 in ascending order.\nAnswer: -78, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*s - 157*s + 3 + 52*s + 40*s - 3.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/10 + 6*k**2. Let l(o) = 3*o. Calculate x(l(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-66)\/44*23\/(6072\/55)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 719, 3081, 7371, 13877, 22887?\n\"Answer: 48*t**3 + 676*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96847*h**3 - 174 + 174 + 96787*h**3.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkckcfyrkckc. What is prob of sequence fyck?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 56.16795?\nAnswer: -112.3359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g. Let f(u) = u + 6. Determine f(b(x)).\nAnswer: -9*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9883 divided by 5.\nAnswer: -9883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/155 and 25\/613831.\nAnswer: 3069155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 5}. What is prob of sequence uur?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 6*a + 9. What is the remainder when y(-5) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 15*x + 14. Let p = 76 - 90. List the prime factors of t(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 130 = 105, 0 = -200*i - 3*g + 15959 - 2974 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {d: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 127504696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 15\/(-21)) + (-2087)\/(-7084). Let n = j + -2731\/1265. What is the common denominator of n and 81\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327182751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 6*y + 7. Let l be v(10). Let o(p) = -p**3 - 34*p**2 - 31*p + 80. Let g be o(l). Which is smaller: g or 20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17321893163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-8))\/(-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -58197540*k**2 + 18693*k + 56079. Let i(p) = 12454*p**2 - 4*p - 12. Give -4*d(b) - 18693*i(b).\nAnswer: -12462*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**3 + 6*a**2 - 8*a - 6. Let l(p) = -p**2 + p - 1. Let q(h) = b(h) + 2*l(h). Let u(g) = 14*g**3 + 11*g**2 - 17*g - 23. What is 17*q(n) - 6*u(n)?\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*u + 3 + 6.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 2. Let t = -13 + 17. Let s(j) = 6*j - 11. Let w(b) = t*s(b) + 22*q(b). Let v(x) = -4*x. Give v(w(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00540161 to four dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67 + 21*v**3 + 6*v**3 + 15*v**3 + 17*v**3 wrt v?\nAnswer: 177*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(15 - 5 - 7) - 10 + 22 - 4)*(-y + y + 3*y**2)*(y**2 - 4*y**2 + 2*y**2).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l**2 + l**2 - 3*l**2 + 3*l**2 - 4. Is q(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568035997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0 + 1\/30*t**4 - 1\/75*t**6 + 0*t**2 - 1\/50*t**5 + 0*t**3 + t + 1\/105*t**7. Let r(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 6*o - 2 - 18*o**2 - o to v + k*o**2 + n*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 46. Let n be d(-17). Solve -5*z = -n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484 + 166*o - 48 - 396 - 41.\nAnswer: 166*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.536 - -6.252. What is s rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -605 divided by -1\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 16 - 11 - o**3)*(-2 - 4*o + 4 - 41) to the form n*o + w + p*o**2 + z*o**4 + k*o**3 and give w.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/40949 and 23\/5.\nAnswer: 204745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -128080 (base 11) in base 7?\nAnswer: -1465131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2480 + -2046. What is the remainder when x is divided by 75?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23758, 23757, 23756?\nAnswer: 23755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233 + -1. Calculate the least common multiple of 8 and a.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + r = -8, -r + 0*r + 10 = 5*c. Calculate the greatest common factor of 16 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-9)*h*h)\/h))\/((h**(3\/4)\/h)\/h) assuming h is positive.\nAnswer: h**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14144303)\/(-287) - 6\/21.\nAnswer: 13, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let n be (-1)\/(-2) - 9\/z. What is the remainder when 16 is divided by (-17)\/(-2) + (-2)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -14a?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1738879965.0000538 + -1738880141. Let r = 176 + a. What is r rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 21*z + 10*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 342.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*h. Let t = -85 + 77. Let z be (4\/(-6))\/((-22)\/165). Put z, h, 3, t in increasing order.\nAnswer: t, h, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*x**2 + 552*x**2 - 921*x**3 - 275*x**2.\nAnswer: -921*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 1\/7 (c) -4 (d) 14100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5511*f - 4135*f + 6280 + 418*f - 2952*f + 1067*f wrt f?\nAnswer: -11113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 520\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/3 + (-1 - (-132)\/99). Let a(j) be the first derivative of c*j + 4\/3*j**3 + 0*j**2 - 29. What is the first derivative of a(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1563457 - 3?\nAnswer: -1563462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 423.04. Let l = j + 367. Let z = -59 - l. What is the biggest value in -3, 1\/4, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-2 + -1 - -3*sqrt(2299)*5) + (0 + 5 + 2*sqrt(2299))*5)**2.\nAnswer: 12144*sqrt(19) + 1216747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from zuaajzdgdduuuaa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493977993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520260960 take away 58666?\nAnswer: -1520319626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1167 and 100322322.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001629072069 rounded to 7 decimal places?\nAnswer: 0.0016291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1341 + 2326. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*m**3*v - 22*m**2*v + 3*m*v wrt m.\nAnswer: 516*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -4. Let z = y - 3. Let f be ((-2)\/13 - (-3775)\/1300)\/((-3)\/(-48)). Calculate the greatest common factor of z and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose 0*l - x - 54 = -m*l, l - 34 = 4*x. Calculate the remainder when 50 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.01983502\nAnswer: -0.007934008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 4, w: 3, e: 8}. What is prob of picking 1 w and 1 n?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let h be j(-6). Let c be -1*(h - (2 - 3)). Suppose -c*b + p + 33 = 0, -b + 15 = 2*p + 2*p. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -2. What is the third derivative of 12*v**2 - a*v**5 - 10*v**2 - 3*v + 3*v wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:33 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 36*r**2 - 42*r - 23. List the prime factors of a(-35).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2291 = 3443*g - 1694*g - 1670*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 2\/7 (b) 2 (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Let o = -2 - 0. Let t = 7 + -2. Put h, t, o in descending order.\nAnswer: t, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + -21) - (-7 - -5 - -8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpbbbbb. What is prob of picking 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 1. Let l be k(4). Let h be l\/(-7)*(-7)\/4. Let y = 783.7 + -784. Which is the second smallest value? (a) y (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88\/7 + -954\/77. Suppose 2*s - 3 = 6*s - 5*h, -2*s + 4*h = 0. Which is the closest to s? (a) 1 (b) 2\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1\/20 (b) 1 (c) -6\/1567 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 103, 210, 351, 526, 735?\n\"Answer: 17*i**2 + 22*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 9*s - 7. Let x(o) = -4*o**2 - 14*o - 10. Let y(k) = -7*v(k) + 5*x(k). What is y(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3)*2)\/((-8)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 72*o - 123. Let d be w(-15). What is d rounded to the nearest ten?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-338*w**2 + 945*w**2 - 382*w**2) to the form d*w + f + z*w**2 and give z.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from exxkkekeekkxkxexxee?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 23 + (39 - 68).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(5\/2)*p))\/(p*p**(-3)*p*p))\/((p\/p**(-1\/7))\/p*p*p**(-1\/63)) assuming p is positive.\nAnswer: p**(-457\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:58 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/3, -4190854\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -4, 2\/3, -0.5, 53.\nAnswer: -4, -0.5, 1\/11, 2\/3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.1, 3\/8, -0.05, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = 270. Let l be (14\/2 - 2)*(-78)\/(-30). Suppose -14*g = -l*g. Is c equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*q**2 - 34*q**3 - 4*q + 73*q**3 + 7*q**2 wrt q.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*((-304)\/10)\/(-2). Let c = 130 - x. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -0*s - s + 3, -3*q = 6. Let x = 15 - s. Find the third derivative of 2*o**x + 7*o**2 + o**6 - 10*o**2 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.8 - 12.1. Let l = p + -10. Sort 1\/6, 1, l in ascending order.\nAnswer: l, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 260?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -44*g. Let c(b) = 143*b + 141*b - 293*b. Let k(l) = 5*a(l) - 24*c(l). Let q(y) = -5*y**2 - 2. Calculate k(q(f)).\nAnswer: 20*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*0.18.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 1. Suppose -2*k = 4 - 0. Let i = -1 - -3. Suppose -i*m = 2 - 4. Let z(n) = -n + 4. What is k*x(c) + m*z(c)?\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -6*o - b, -25 = 4*o - 3*b + 44 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 847088180 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3\/4 - 2253*w**2\/4 + 1516311*w\/4 - 263275083\/4 = 0.\nAnswer: 267, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024040 a multiple of 1212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16665024 + -3?\nAnswer: -16665030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.5, -2\/9 in increasing order.\nAnswer: -16, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 3}. What is prob of sequence cmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/11 + 15930*z**2\/11 - 60323292*z\/11 - 25132356648\/11.\nAnswer: -(z - 8154)**2*(z + 378)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3332621 (base 10) to base 2.\nAnswer: -1100101101101000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 2*w + w + 3*w - 15. Let z(j) = 2*j - 4. Give -6*k(h) + 22*z(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -73, 2, 2712519 in ascending order.\nAnswer: -73, -5, 2, 2712519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 2, e: 1}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -55, -126, -225, -352, -507?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 23. Which is the smallest value? (a) 6 (b) 0.2 (c) 3\/2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -91 - 61. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*u + 473*u = 239*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, 0 = 5*g + 5*i - 2439 - 6576. Suppose c - g = -2*c - 3*t, -t + 2394 = 4*c. Is c a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-22)\/d*d**(-7)*(d**17*d*d*d)\/d*d\/(d\/(d\/d**(-4\/5))) assuming d is positive.\nAnswer: d**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3245945 and 365.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 21 = -8484*q + 8483*q, 5*q - 3*r - 133 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -154. Solve o*b = 4*u - 1, -5*b - 4*u = -2*u + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203 - 136. Let t = 136 - k. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3400 and 167\/334050.\nAnswer: 1336200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 23*c**5\/60 - c**4\/12 - c**3\/6 + 8*c**2 + 786*c. Suppose -o + 4 - 5 = 0. Determine d(o).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2 + 32. Find the third derivative of -1 + 7 + 3*o**t - 3*o**2 - 6 wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631353 to the power of 1\/2, to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 - -257. Let s be (-544)\/756 + n\/84. Sort s, 4, -2\/3 in ascending order.\nAnswer: -2\/3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 14 + 20 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 308?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6948.224 meters in kilometers?\nAnswer: 6.948224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 + -325. Which is greater: -51 or v?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*v + 28 + 27 = 0, -v = 0. Let w(z) = z**3 + 2*z**2 + 5*z + 1. Let j be w(-2). Let k = j + f. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - v + 3*v)*(4 - 3 - 3) + 2 - 2 + v)*(-4 + 2*v + 4)*(-3*v**2 + 3*v**2 - 2*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12) - 9\/54 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -x + 4, -61*x = -60*x - 3*l - 4. Solve 3*a = -x*c + 24, 0*c + 3 = c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8899*y**4 - 11123*y?\nAnswer: 106788*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -958825*k + 6711740. What is a(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6493995 to the power of 1\/2, to the nearest integer?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 4\/3 - 0. Let g = -0.047 - -0.018. Let l = g + -0.371. Which is the smallest value? (a) 9 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:36 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2917, -2817, -2707, -2581, -2433, -2257?\nAnswer: -2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -851\/40 + 175\/8. What is the second smallest value in 1\/3, 1\/2, -1.2, x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58257\/52 smaller than 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 6105, 1 in decreasing order.\nAnswer: 6105, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28470, 56982, 85494, 114006, 142518?\n\"Answer: 28512*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14008569?\nAnswer: 3, 4669523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 6579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.9\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + d = -9*c + 7, -26 = -c + 4*d. Let w be 26\/117 - (-376)\/9. Calculate the highest common factor of c and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490095 is divided by 10210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/5 - 29\/87*3\/5. Solve 0 = -2*f - 6*x + x - 3, -h*f - 2*x = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -43*k + 73\/3*k**3 + 0*k**2 - 75. Differentiate u(z) with respect to z.\nAnswer: 146*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-38))\/(q*q\/(q*q**25)) assuming q is positive.\nAnswer: q**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 121887402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 386*m**3\/9 + 5276*m**2\/3 + 46862*m\/3 + 728\/9 = 0.\nAnswer: -28, -13, -1\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/435)\/((-18)\/(-80))*(-135)\/(-1500)\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -1, 1, -15 in descending order.\nAnswer: 1, 0.01, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 66563*m**2 + 5*m.\nAnswer: -66563*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 12*s - 38. Give a(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*z = -3*i, -z = -3*i. Sort 3, 73, i in decreasing order.\nAnswer: 73, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 12*s**2 - s - 14. Let j(l) be the second derivative of -l**4\/4 + l**2\/2 + 41*l - 1. Let u(y) = 6*j(y) + n(y). Determine u(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171547*n**2 - 171547*n**2 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 36. Let y(n) = 4*n + 26. Let q be y(f). Let g = 64 + q. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38560352 or -38560353?\nAnswer: -38560353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = u - 27, 5*d + 5*u - 35 = 0. Find the second derivative of 5*i + d*i**3 - 8*i**3 + i - 12*i**3 wrt i.\nAnswer: -90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20751\/2 + 10379. Let n(g) be the second derivative of -1\/2*g**4 - 3\/20*g**5 + v*g**3 - 32*g + 0 - 6*g**2. Let n(u) = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*l**2 - 184*l**2 - 171*l**2 + 558*l**2.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 15. Determine z(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44266, -44267, -44268, -44269, -44270, -44271?\nAnswer: -44272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-180) + 2\/(-5))\/((-6)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + n)*(-7 - 19 - 25 - 6 + 1 + 3 + (4 + 1 - 3)*(-2 + 1 + 2))*(-4*n + 12 - 12).\nAnswer: -204*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, 47, 175, 355, 587, 871, 1207?\nAnswer: 1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 56 + (55 - 126)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzzfzqzzzqqfzzqfq. Give prob of picking 2 z.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 35, 38, 21, -22, -97, -210, -367?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 0*i + 531 - 525 + 2*i**3 to the form m*i**2 + t*i + h + l*i**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20012*o**3 - 20*o**2 - 249622*o.\nAnswer: 120072*o - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6025775, -6025789, -6025803, -6025817?\n\"Answer: -14*k - 6025761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 - 23*v**3 + 1 - v**2 + 4556*v - 4554*v to d + n*v**3 + q*v**2 + y*v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0153 - 0.3153. Put -14, 3, o, -4\/9 in descending order.\nAnswer: 3, o, -4\/9, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 0*z + 0*z)*(4 + 186 + 283) to the form r + c*z and give c.\nAnswer: -946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:26 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9*h + 1. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00661 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 39 + 12)*(0*y + 3*y - 4*y) to c + u*y and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 8*m + 3. Suppose -4 = 7*l - 8*l. Let w be v(l). Suppose -5*r + 20 = w*c - 3, -3*c + 15 = 3*r. Solve 0*f - f + r = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*u + 176*u + 3*y - 2, 0 = -11*u - 5*y - 54 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 3, z: 2, t: 4}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 4*y + 15, 3 = -3*g + 3*y - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541.\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + (-1392 - -1409)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*h**3*w**2 - 2*f**2*h**2*i*w + 4*f**2*h + 24*f**2*i + 2*f*i + h**3 + 8744*h**2*i*w**2 wrt w?\nAnswer: -4*f**2*h**3 + 17488*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 16. Let w(p) = -5*p + 80. Determine 2*w(s) - 11*y(s).\nAnswer: s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 4*m. Let f(p) = -11*p - 2*p**2 + 5*p + 2*p. Let x(k) = -2*f(k) + 3*l(k). Determine q so that x(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 175703, 702836, 1581391, 2811368, 4392767?\n\"Answer: 175711*y**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91\/15 - -32\/5. What is the fourth smallest value in -0.4, -13, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -10*y + 544. Solve -26*a = -6*a + y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = r + 4*z, 4*z + 8 = -r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1f (base 16) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) - 2*sqrt(1584) - sqrt(1584))**2 - sqrt(1584))*5 - ((-6*(1 + sqrt(1584)))**2 - sqrt(1584)))*-3.\nAnswer: 2736*sqrt(11) + 76140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**2\/5 + 86*s\/5 + 176\/5 = 0.\nAnswer: -2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 468542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.9. Is k > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -51509.\nAnswer: -2\/51509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14c - -1?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:22 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9.26 times -1\nAnswer: 9.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12054032 (base 6) in base 11?\nAnswer: -23aa61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 21*o - 7. Let v be p(-10). Suppose -115 = -2*y - v*y. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 31 = 39*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. Let m(u) = -u**2 - 2*u + 4. Let v be m(c). Suppose -7 - 3 = 5*g. Are v and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*g - 96 = -337*g. Suppose u = -2*y + 9, 0*y + 3*y - 24 = 2*u. What is the least common multiple of y and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*r**(-1)\/r)**(-5\/8)*r**(-2)\/(r**(-1)*r)*(r**(-2\/7))**(-2\/53) assuming r is positive.\nAnswer: r**(3371\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 1, w: 3, e: 3}. What is prob of picking 1 e and 2 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 14\/28*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 170 = 50. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 31*x\/3.\nAnswer: -x*(x + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -160, -239, -316?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 - 189*v\/2 - 272646.\nAnswer: 3*(v - 459)*(v + 396)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h. Let d(t) be the first derivative of 0*t + 0*t**4 - 3\/2*t**2 + 0*t**3 - 3 + 1\/15*t**5. Let k(a) be the second derivative of d(a). What is k(o(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q**2 - q. Let u(w) = 32*w - 12. Let l(r) = 13*r - 5. Let x(o) = 12*l(o) - 5*u(o). What is x(a(j))?\nAnswer: 40*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from yuuuyuouuuyouuouuu?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -123*y - 378. Let h be v(-4). What is the highest common divisor of 1824 and h?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, x: 1, l: 6, w: 1, o: 1}. Give prob of sequence wz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, 226, 339, 428, 481, 486, 431?\n\"Answer: -2*s**3 + 6*s**2 + 121*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -17. Is 6\/53 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j + 1456 = -172*j + 18*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and 494.393?\nAnswer: 518.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = -120. Suppose 4*a = i - 6. Let l(x) = -x**2 + 11*x + 11. Let g be l(10). Solve 2*z = -a, z = -5*c + 3*z + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.84, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 12*z**2 + 15*z - 9. Let y(i) = 3*i**3 - 18*i**2 - 23*i + 14. Let d(c) = -7*g(c) - 5*y(c). What are the prime factors of d(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -0.02. Let v = 65968.4 + -65968. Which is the smallest value? (a) 3\/5 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32 + 29)\/((0 - -6)\/2). What is the second biggest value in 11, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 119*u**7\/30 + u**5\/5 - 3*u**3 + 2427*u**2. What is the third derivative of c(a) wrt a?\nAnswer: 19992*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3 + 22*y**2 - 4*y.\nAnswer: -2*y*(y - 2)*(5*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 + -368. Is (177\/15*u)\/((-4)\/20) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)*m*m*m**(-4)*m**(3\/5)*m*(m**(-4\/7)\/m)\/m*m assuming m is positive.\nAnswer: m**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2470, 2469, 2468?\nAnswer: 2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 669\/2*m + 149187\/4 + 3\/4*m**2 = 0. What is m?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*q = 2 + 23, -4*t - 12*q = -28. Let v = -3 + 20. Which is the fourth biggest value? (a) -0.5 (b) v (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -532*d + 9107. Calculate m(15).\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.5, 8, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 6) + 98 + -54)*1\/2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106977 = -95*s + 47208. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 25. Let s be h(16). Let k(y) = -y**2 - 12*y - 12. Let o be k(s). Suppose 7*d - 57 = -o. Solve d*p - 2*p + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -15789, 71?\nAnswer: -15789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*z + 36199 - 35335 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.4 - -112.27. Let m = i - 4.67. What is the nearest to 2 in m, -2.2, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*v + y, -15 + 10 = -5*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -2*m**3\/3 - 172*m + 2. Let h(k) = 135*k - 2. Calculate h(b(i)).\nAnswer: -540*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -161*(2 + (-56)\/49). Let h be z\/(5 - 11) - (-1 + 4). Solve h = -6*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - -10?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(16) + sqrt(32)\/sqrt(2)))\/(sqrt(32) + sqrt(32) + sqrt(96)\/sqrt(3) + sqrt(32) + sqrt(32) + sqrt(8)))**2 + -2.\nAnswer: -114\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 247 or 242?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454850821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/27 - 8\/135. Let c(y) be the first derivative of -o*y**5 + 0*y**3 + 0*y**4 + 3\/2*y**2 + 0*y + 1. Find the second derivative of c(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/3 + 170020*l**2 + 680096*l + 2040304\/3.\nAnswer: -4*(l - 127519)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and -34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 13 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106 or -947988?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/8*3\/24)\/(1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2. Suppose -2*z - 4 = -2. Let v be 1 + 1 + z + 1. Let m(i) = -2*i**2 + 6*i**2 - v*i**2. Calculate m(h(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.414 + 4.414. Which is greater: -0.094 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384023877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, u: 4}. Give prob of sequence uu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2075749 + 234762 = 110*g - 1100149. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*n + 10449 = -936*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/12 and -44\/189.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -22. Suppose 10 = -l + 2*h + 2*h, 5*h = 4*l - t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5\/7 + 448*g**4 - 176510*g**3 + 4907836*g**2\/7 - 6121496*g\/7 + 2446096\/7 = 0.\nAnswer: 1, 2, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17)\/(-68) + (1 - 126\/(-8)). What is the greatest common divisor of 238 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.103, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -830.063 - -827. Let u = h + 3.063001991. What is u rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {o: 1, s: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 13*g + 173. Let m be u(-13). Let n be (-1)\/(1*(-2)\/4). What is the third derivative of 2*i**2 - m*i**4 - 19*i**n + 10*i**4 + 20*i**4 wrt i?\nAnswer: 624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 159 = -5*t - 109, -o = t + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 138.6, -3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 136. Which is the nearest to 2? (a) 0.2 (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 17, d: 1}. Give prob of picking 1 i and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139510 and 77770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {u: 4, v: 1, p: 1, t: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**4 - 4*m + 2*m - 2 - 10*m**3 + 4 - 2 in the form d*m**4 + v + a*m**3 + k*m + n*m**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 1163 - 2963 = 109*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r - 2*r + 15*r - 4*r + r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*1 + -2)**2 - ((2 + sqrt(700)*-2)**2 + sqrt(700))) + 1*(-3*(-1 + sqrt(700)) - -1*sqrt(700)*-3)**2.\nAnswer: -330*sqrt(7) + 23109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -2191\/174?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {v: 5, j: 3, a: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.123?\nAnswer: 0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*q - 25, -7*a + 14 = -3*a + 2*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1 + sqrt(44))\/sqrt(4) + sqrt(22)\/sqrt(2) + sqrt(11) + -5 + -1 - (-2*1*sqrt(88))\/(sqrt(8) + (sqrt(216) - sqrt(24))\/sqrt(3)).\nAnswer: -6 + 14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 5, -4\/5, -2\/35405?\nAnswer: -2\/35405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-34604.\nAnswer: 173020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/115 and -48\/161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**27*(k**(2\/53))**(-5\/12) assuming k is positive.\nAnswer: k**(-17177\/318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -304520355 (base 6) in base 8?\nAnswer: -24057217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -3.5504.\nAnswer: -3.7504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3213?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 6*h - 6. Let i(p) = p**2 - 2*p - 1. Let x be (-1813)\/(-148) - (0 + 1\/4). Let w(z) = x*i(z) - 2*y(z). Find t, given that w(t) = 0.\nAnswer: 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-1)\/4*-8. Which is the second biggest value? (a) 3 (b) r (c) 2\/13 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2312010130 (base 4) to base 5.\nAnswer: -142331011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225468*m = 1225500*m - 1568 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 42*g + 16. Let v be b(13). Let m = v + -92. Let r = m + -42. Solve -r = -0*l - 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -92. Suppose 0 = i*b - 0*b + 3*z + 285, 5*b + 4*z + 280 = 0. Let s be ((-4)\/(-10))\/((-4)\/b). Solve -s*x = -x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - 172\/(-12). Let s be (-6)\/n + 6\/14. Let y = s + 7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 3.3. What is the third biggest value in d, -2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*sqrt(117)*-2 + sqrt(117) - 1*sqrt(117)*-4))\/(sqrt(144) + sqrt(144)*1*-4 - sqrt(144) - (sqrt(144) + (2*sqrt(144)*-1 - sqrt(144)))).\nAnswer: 17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126064673 + 126064566.105869. Let c = -0.899431 - l. Let f = 106 - c. Round f to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -145. Let l = 64 + c. Which is greater: l or 0.099?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/5 in -4, 0.1, 2\/9, -1\/35, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 165, 511, 1163, 2223, 3793, 5975, 8871?\n\"Answer: 17*j**3 + 23*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**3 - 24*s**2 + 22*s + 54. Calculate g(2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 56*d**2 - 75*d - 424. What is m(-55)?\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-80)\/24))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s + 0*s**2 - 2*s + s**4 - 2*s**3 + 4*s as v*s**4 + b*s**2 + r + l*s + p*s**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3189 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003924 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 23. What is the third derivative of -3*a**5 - 8*a**2 - 5*a**2 + 5*a**n wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*h - 2600 = 3393*h - 1181*h - 1134*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 + 1)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 + 64*f**4 - 208*f**3 - 312*f**2 + 2196*f - 2376 = 0. Calculate f.\nAnswer: -3, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 3*o - 84. Suppose 16 = o*j - 12. Suppose -2*n - 5*d + 417 = 0, -3*n = -0*d + j*d - 608. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 2*d + 24. Suppose -7*f = -d*f - 331. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -169995, -339988, -509981, -679974, -849967?\n\"Answer: -169993*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 1 + 7*r**3 + 1 - 5*r**3 + (1 + 2*r - 1)*(2*r**2 - r + r) + r**3 + 0*r**3 + 0*r**3.\nAnswer: 7*r**3 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 42*y**2 + y - 66. What is s(42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -99450 in decreasing order.\nAnswer: 2, -4, -99450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 18 = -8. Let s(u) = u**3 + u - 5 - u**z + 7 - 1. Let f be s(0). Is f != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6224934*k**2 + 6224936*k**2 + 1486 - 9958 to r*k + x*k**2 + i and give i.\nAnswer: -8472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 2, m: 2, r: 3}. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (120\/18 + -7)*-6. Suppose 0 = -0*u - 2*u - 5*x - 142, -5*x + 102 = -s*u. Is -63 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 29748090 - 29749282 for a.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (6 - -23) - -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x - 10. Solve 3*m = -x*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b47 + 478bc?\nAnswer: 4a736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 69*y**2 + y - 3. Let l(s) = s**3 - 71*s**2 + 3. Determine 4*j(r) + 3*l(r).\nAnswer: -r**3 + 63*r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0364 + 2.0364. What is the nearest to -7 in -4\/7, 5, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, -288, -1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5 + 1. Let g be 2\/24 + q\/12. Which is the nearest to g? (a) 3 (b) -2\/7 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r\/r**(-24))*r))\/r**(-4) assuming r is positive.\nAnswer: r**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 78 = 5*t - 592, 0 = 5*m - 10. Calculate the greatest common divisor of t and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4639 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by 1?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1843*p - 664*p - 10865 - 24505 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99157, -198317, -297477?\n\"Answer: -99160*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 - 3. Suppose 0 = -15*r - 18 + 48. What is the closest to c in r, -3, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 3*p**2 - p + 1. Let j be h(-2). Suppose 6*m - 36 = 2*m. Let c = m - j. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.500563305 rounded to four dps?\nAnswer: -1.5006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002673827 to 7 decimal places.\nAnswer: 0.0002674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(15\/4) + 4\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12e9dc2 - 1?\nAnswer: -12e9dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 - 2\/15*z**3 - 1\/5*z**2 - 1\/30*z**4 + 3*z. Factor j(y).\nAnswer: -2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + 3*v)*(-v + 3*v - 3*v) + v**2 + 0*v**2 - 5*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 8*o + 64.\nAnswer: -2*(o - 8)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 + -41561?\nAnswer: -41641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 558 - -1537. What are the prime factors of w?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 5*b - 3. Let n be 76\/(-28) + (-2)\/7. Let i be w(n). Suppose i*p - y = -0*p + 58, -2*p + 57 = 3*y. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67211*d**2 - 22414*d**2 - 22399*d**2 - 22402*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j - 1 - 1 + 7. Let b be (-1)\/(-1) + 1 + -4. Let u(c) = -5*c - 2. Let y(x) = b*r(x) - 5*u(x). Let z(h) = -2*h**2. Give y(z(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 - 746*n**3\/3 + 963*n + 134. Differentiate y(q) with respect to q.\nAnswer: 3*q**2 - 1492*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4603 + 6703. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 8*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9) + 71923\/9117 - (0 - (-556)\/70).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.9 (c) -2\/9 (d) -1 (e) 0 (f) -1233 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**4 - n**2 - 1. Let x = -113 - -111. Let m(h) = -51*h**4 - 53*h**2 - 2. Let u(v) = x*c(v) + m(v). Find the third derivative of u(o) wrt o.\nAnswer: -1272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 - -12 - 8\/2. Let i be (m - -2 - -4) + -2. Suppose -5*t + 782 = i*y - 695, -1002 = -2*y + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 7*b - 12. Let k be a(5). Let l = k - 94. Suppose -l*z = -5*z - 5*z. Solve z = 4*y + 1 - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8570 divided by -3\nAnswer: -8570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -74*z**2 - 5*z - 4. Let w(d) = 334*d**2 + 20*d + 17. What is 9*q(t) + 2*w(t)?\nAnswer: 2*t**2 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uoouuuuuuv?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-30)\/60\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(5\/(-80))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -18*z - 164. Let n be f(-10). Let y be 59\/3 + 2\/6. Let q = y - n. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 + -231. What is the least common multiple of 85 and r?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551979661 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (212\/(-530))\/(8\/10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (96*o + 99*o - 87*o)*(-1 + 3 + 0)*(41 - 123 - 73) in the form m + j*o and give j.\nAnswer: -33480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/(3\/(-72)). Calculate the highest common factor of k and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 2:37 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812666979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q - 121. Let j be b(-10). Let o(a) = 218*a - 219. List the prime factors of o(j).\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -3, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 315, 316, 317, 318, 319?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6 + 4. Let o(w) = -10 + 17 + 8*w**2 - w**2 - b*w**3 + 9*w + 3*w**3. Let j = 14 + -20. Determine o(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (7 + (7 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0982895375 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2038673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025932 is divided by 1832.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454809 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 1, v: 1}. What is prob of sequence pbv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 239*k**2 - 132*k - 27574. Determine i(240).\nAnswer: -1654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -34*r**3 + 2*r + 1. Suppose 5*n - 6 = -4*b, -2*b = -4*b - 2*n + 2. Does 11 divide y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.09 - -55.329225584?\nAnswer: 57.419225584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by (18\/8)\/(1 + 77\/(-80))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 3, -0.3 in decreasing order.\nAnswer: 3, 0, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 682434 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: Convert 2a (base 14) to base 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 17 = -946*t + 948*t, t + 5*a = 28 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52246 and -6202.85.\nAnswer: -58448.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -0.893\nAnswer: 14.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5637 + -28521.4363. Is w at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27434 is divided by 1055.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 29 - (-22 - (-2 - -3)) - 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 314*o - 153*o - 160*o + 5.\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 125?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -3 + 24 + -22. Suppose 4*l = -2*o + o + 70, -2*o = l - 161. Sort v, -5, o in ascending order.\nAnswer: -5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from dceeeued.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**3 + 217*p**2 + 855*p + 716. Let c(x) = -3*x**3 - 54*x**2 - 213*x - 180. Let s(d) = 11*c(d) + 3*t(d). Factor s(v).\nAnswer: 3*(v + 1)*(v + 4)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -54 + 0*g**2 - 53\/5*g**5 + 96*g + 2\/3*g**3 - 1\/4*g**4. Find the third derivative of b(y) wrt y.\nAnswer: -1272*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y + 4446 = -74*y. What are the prime factors of y?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-3)\/(-12)*-1*-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0591603 kilometers?\nAnswer: 59160300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + -4 + 45 - -78?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 13*a**2 - 14*a - 9. List the prime factors of b(-12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*s + 12 = 0, -10 = -4*d + 2*s - 4. Let h(m) = -m - 3. Let v(t) be the third derivative of t**4\/12 + t**3\/3 + 3*t**2. What is d*v(l) + 2*h(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 8*l - 4. Let x be z(-9). Suppose -x*a - 5*f + 11 = 1, 19 = 5*a - 4*f. Suppose 5*b - 3*t - 156 = 26, a*t + 108 = 3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1128226 (base 10) to base 4\nAnswer: 10103130202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose -a*p + 96 - 36 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29678 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.8 + -23.12. Let i = a - 0.6800197. Round i to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/18 + 10. Suppose z(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 32*v**2 + 43*v - 10. Let s be p(-35). Suppose s = 19*u - 13*u. Is 40 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from btjmbjjcjbjmtbbjjc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3 = 0, -13*n - 3*v = -12*n - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16352 and 116032.\nAnswer: 8470336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -234 and -4?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpem when four letters picked without replacement from {p: 1, m: 2, e: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/162 - 61100\/1800.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - 84\/(-70)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91074360 and 11297?\nAnswer: 1001817960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229143341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15179191 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o - 1. Let b(a) = -5*a**3 + a**2 + 4*a - 4. Let u(l) = b(l) - 4*i(l). What is the third derivative of u(t) wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:05 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859754793.\nAnswer: 3, 29, 9882239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x + 2528899 = 52*x - 353519. List the prime factors of x.\nAnswer: 2, 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 5. Let q be l(3). Suppose 260 = q*g + 2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.0649 (c) 1 (d) 2 (e) 0.03 (f) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -70*s**3 - 9*s**2 - 4*s - 14. Let a(m) = -36*m**3 - 5*m**2 - 2*m - 8. What is 7*a(n) - 4*k(n)?\nAnswer: 28*n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9 = i, 0*i - b = -5*i + 21. Let r = -2 + i. What is the remainder when (2\/(-4))\/((-2)\/16) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625105865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 7*d - 2. Let i be w(-4). Let c = i - 5. Let b be 0\/(63\/(-27) - (-1)\/3). Solve b = -c*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143913533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-1)\/(-3)). Let p be 0\/(-25)*(0 + z). Factor 0 + p*u**4 + 4\/7*u**3 - 2\/7*u**5 + 0*u**2 - 2\/7*u.\nAnswer: -2*u*(u - 1)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1778*k + 8893. Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432451 divided by -89?\nAnswer: -4859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 2 + 2)*(-9*d - 10*d + 50*d) to the form c*d + v*d**2 + s and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 46*n**2 + 1. Let r be l(-2). Suppose 0*p = 5*p - r. Is p 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 -6014, -9248, -12482, -15716, -18950, -22184?\nAnswer: -25418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 39, -1\/8, 6, 0.3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3287872 and 728?\nAnswer: 42742336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -469*a**3\/3 + 2269*a**2 - 3100. Find the second derivative of m(q) wrt q.\nAnswer: -938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42780.5 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v - 145. What is the remainder when q(14) is divided by 59?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 527\/9 - 175\/3. Let t = -70 - -70. Let -8\/3*z**2 - 16\/9*z**3 + r*z**4 + 0 + 2\/9*z**5 + t*z = 0. Calculate z.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.311 + -1.811. Let u = -19 + 28. Let t = u + -5. Which is the nearest to 1\/4? (a) t (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - 2 - (132\/(-352) + (-106)\/16).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w + 16 + 13 - 34. Let z(x) = 2*x + 3. Let h(s) = 3*q(s) + 5*z(s). Let v(y) = -2*y**2 + 19. Determine h(v(p)).\nAnswer: 4*p**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -3*d, 7*d - 5*d - 1 = -m. Suppose -2*y - 252 = -4*l, l + 146 = 3*l + 4*y. Suppose -x + 6*x - l = 0. Solve m - x = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + y)*(3 - 2 + 0)*(-289*y**2 + 131*y**2 + 153*y**2 + 48).\nAnswer: -10*y**3 + 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -91. Let x = 190 + -186. Which is the nearest to 0.1? (a) x (b) -5\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -4 (c) 4 (d) 1\/4 (e) -2\/235\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4500 and 36.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x**2 - 8763 + 17521 - 8764 in the form u*x + n*x**2 + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 48 + 136 + 1304206*a - 45 - 1304206*a + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 7*i + 1262. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((143\/(-22))\/13)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-29\/5)*m*m*m))**19\/((m*m*m\/(m*m**(-3\/17)))\/(m\/(m\/(m**(-1\/14)\/m)))) assuming m is positive.\nAnswer: m**(59443\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245.29969 - 210.699864. Let l = n - 34.6. Round l to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**9\/7560 + t**6\/720 + t**4\/12 - 4*t. Let h(r) be the third derivative of z(r). Find the second derivative of h(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 12) in base 6?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/6)*(111 - 87)\/2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*f - j, -22*f + 5*j = -19*f - 205. What is the highest common divisor of f and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -1242?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 615*y**2 - 69*y - 38. What is the ten thousands digit of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.2981 days in seconds?\nAnswer: 35536155.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/83981 and 43\/4291.\nAnswer: 587867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, -8443, 3, -4 in descending order.\nAnswer: 3, 1, -2, -3, -4, -8443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**3 + 4*b**2 + 10*b. Let k(h) = h**2 + h. Give -f(u) + 3*k(u).\nAnswer: -7*u**3 - u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21\/(-42) + (-394)\/(-4) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*y + 2*y. Let f(h) = -231*h + 34. List the prime factors of f(y).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooouoeee. Give prob of picking 2 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-16)*8\/(144\/3).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 26593*b\/5 - 13297\/5.\nAnswer: (b + 13297)*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/105 and 1\/3822.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 + 7*w - 3. Let q(m) = -m**2 - m. Let p(z) = -d(z) - 4*q(z). Suppose -20*l + 2 = -58. Let a(x) = -3*x**2 - 4*x + 4. Give l*a(o) - 4*p(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 81. Solve -2 = -2*t + i*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 11*f + 9*f = -3*l, -4*f = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-123)\/6*22\/(-3) + (-803)\/2409 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-12)\/532*(-4389)\/(-1881).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*a - 3*p, p + 51 = 2*a - 4*p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 8*f**2 + 3*f. Let x(l) = 4*l**3 - 10*l**2 + 3*l + 1. Let u(c) = -3*a(c) + 2*x(c). Calculate u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*(-6)\/1)\/(602\/2236))\/(140\/(-490))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/30 and 22\/261669245.\nAnswer: 1570015470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*m + 2*z, 4 = 3*m - 4*z - 3. Suppose -617*j = -620*j. Solve j*i + m = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**5 + 4*b**5 + 3*b**5)*(-3 + 2 + 2 + (1 - 2 - 7)*(-2 - 1 + 1)).\nAnswer: 34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 6:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:46 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3433324?\nAnswer: 2, 61, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-328)\/6)\/((-31)\/6 - -5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38253648 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 38*u**2 + 152*u - 168 = 0. What is u?\nAnswer: 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/120 - t**5\/12 - 5*t**4\/24 - 19*t**3\/6 - t**2 - 2*t - 401. What is d(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14144 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4874*v - 4095 = 146249 - 20420 + 206382 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -20 - -22 - (-45 - -38).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i. Let o(w) = -3*w. Let p = 5 - 9. Let s(l) = -10*l. Let z(v) = 5*v. Let m(t) = 3*s(t) + 5*z(t). Let y(g) = p*m(g) + 7*o(g). Determine n(y(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -81, 2, 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.132 times -657.34\nAnswer: -86.76888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137015747*c**4 - 199129782*c**2?\nAnswer: 3288377928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209 + -303. Let i = -95 - b. What is the closest to 1 in i, 0.2, -1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.387 - 125.\nAnswer: -141.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3335*h + 4146*h - 5677 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -50. Suppose -4*r = -2*l - h*r - 6, 0 = 5*r - 15. Suppose 0 = l*b - 5*p + 269 - 880, -3*b + 605 = p. List the prime factors of b.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nffxinuxxxnnmxxnm. What is prob of sequence fif?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2 + 2)*1. Suppose 0 = 5*t - 3*r + 15, -10 = w*t - 5*r + 3*r. Suppose 0 = -t*o + 3*o. Solve o = 4*c + c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 792 and 184162.\nAnswer: 6629832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 less than -98897574?\nAnswer: -98897553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Suppose 0 = -2*f + q, -3*f + 5 = -8*f + a*q. Let k(g) = 7*g + 1. Determine k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2241864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {o: 12, s: 2, n: 5}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1392530358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368130*b**2 + 0 - 735957*b**2 + 0 + 368136*b**2.\nAnswer: 309*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**2 + 25*s + 19. Let x be u(4). Suppose -3*j = -8*d + 4*d - 32, -4*d - 40 = -5*j. Let r(m) = -j + m - 1 + 18. What is r(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*y = 127 - 13, 440 = 4*u - 4*y. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 + z - 1. Let d(a) = 15*a**2 + 15*a - 42. Let g be d(7). Let t = -794 + g. Let j(n) = 4*n**3 - 4*n**2 + 2*n - 4. Determine t*s(h) - j(h).\nAnswer: -8*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -b5?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/(-40)*(-8)\/(-75890). Is -1 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u + 13. Let y be c(-7). Suppose -y = -3*s + 143. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2 - 4. Let f(d) be the first derivative of -8*d**3\/3 - 5*d - 143. Give 4*a(b) - 3*f(b).\nAnswer: -12*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/406392 and -117\/948248.\nAnswer: 2844744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**8\/3360 + z**5\/20 + 4*z**2. Let i(t) be the third derivative of j(t). Let h(c) = c. Determine i(h(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 310 = 24*d - 79*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 8*n + 18. Suppose 3*q - 8 = -2, -2*a + q = -n. Suppose a*l - 3623 = -4*m - l, 0 = 4*m - 5*l - 3633. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, 0.3, 389 in decreasing order.\nAnswer: 389, 0.3, 0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - x + 3)*(8*x**3 + x**3 - 5*x**3).\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -3*h - 56. What is the second smallest value in -3, h, 2\/3, -6\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7957, -15918, -23879, -31840, -39801, -47762?\n\"Answer: -7961*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 + 2. Let y be j(9). What is the second derivative of -3*q - q**2 + q**y + 2*q + 2*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 16) in base 11?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1974, -1803, -1630, -1455?\n\"Answer: z**2 + 168*z - 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 20862.\nAnswer: 62586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*156\/(-48) + -9. Solve -2*x - 3*m = -w*m + 5, 0 = 2*m + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*w + 475*w - 609 = 0. Let k be (55\/(-10))\/(2\/(-48)). Let d = k - 76. Calculate the remainder when d is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3)*(9168*m**4 + 484*m**5 - 9168*m**4) - 2*m + 2*m - 2*m**5.\nAnswer: 2418*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1 - 1. Suppose 440274 - 148758 = 17*g. Let n(k) = g - k**2 - 17148. Give h(n(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(54)\/sqrt(3))\/sqrt(6).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1500 divided by 6\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, 159 in increasing order.\nAnswer: 1, 2, 3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 9.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -21.91. Let j = v + 2.09. Let s = 0.6 + 4.4. Put 0.4, s, j in ascending order.\nAnswer: 0.4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l - 36 = 0. Let i(o) = 35*o**2 - 9. Let s(v) = -9*v**2 + 2. Let r(h) = l*s(h) - 2*i(h). Let z(q) = -8 - 7 + 2*q + 15. Give z(r(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 + -68. Suppose f + f - 2*h = 160, 3*f + 3*h - c = 0. Suppose 0 = -a + 5*g + f, 4*g - 265 = -4*a + a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 13*v - 5*s - 40, 5*v + 4*s = 79. Calculate the remainder when 193 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7093, 27188, 60285, 106384, 165485?\n\"Answer: 6501*p**2 + 592*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*v - 52. Let j = 15 - v. Find the common denominator of -69\/8 and ((-1530)\/(-80))\/(3\/j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 7. Let s be p(0). Suppose s*w - 4*w - 4*j = 514, 5*j = -3*w + 532. Is w a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/18)\/(-8)*6\/4. Let a(m) = 4*m**3 + m**2 - m - 1. Let x(h) = 19*h**3 - 2*h**2 - 9*h + 8. Let b(y) = j*x(y) + 5*a(y). Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7110 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -29*q**2 + 2989*q - 213. What is n(103)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -1522?\nAnswer: -1522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.27 - -10.73. Let y = p - 10. Which is the closest to y? (a) -4\/7 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328412.\nAnswer: 2, 7, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214302.\nAnswer: 2, 3, 11, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16.036. Let c = t + 0.246. Let v = c + 0.09. What is the smallest value in 2, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 - 88*n**4\/3 + 227*n**3\/3 - 154*n**2\/3 + 8*n = 0. What is n?\nAnswer: -12, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)*b*b*b**(-1\/7)*b\/((b**2\/b*b)\/b)*(b**(1\/7)*b)\/b)**10)**(3\/2) assuming b is positive.\nAnswer: b**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/5*t**2 - 3\/5 - 24\/5*t - 18\/5*t**3.\nAnswer: -3*(t + 1)**2*(6*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21276931079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*k**3 + 32315*g**3*k**2*m**2 - 3*g**2*k**3*m - 4282*g**2*k*m + 62*g*k**3*m**2 - 10*g*k**3 + 97*g*m wrt m?\nAnswer: 64630*g**3*k**2 + 124*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3)\/(-1*1). Let x be (2 + 0 + w)*5. Let b be (x\/(-3))\/(1\/(-3)). Solve i = b*c + 10, 0*c - 11 = -4*c - 3*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 7. Let r be t(-3). Let g be (-27 - 1)*r\/(-44). Solve 0 = -2*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 15. Suppose o*a + 3*v - 144 = 0, 7*a - 2*a - 4*v = 231. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1404*o + 1439. Give u(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3919951\/144 - -27221. Find the common denominator of -23\/64 and v.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -100. Suppose 3*i - z = 28. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (6\/8)\/(2\/(-8)). What is the third derivative of -3*h**5 - 7*h - 6*h**6 - 57*h**2 + f*h + h wrt h?\nAnswer: -720*h**3 - 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 times 48.634?\nAnswer: 7975.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -5 (c) 10 (d) -623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008768 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3744 + -0.9194. What is l rounded to 2 dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45cb5b + -c?\nAnswer: -45cb69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 360 - 25. Let y = 80 - o. Solve -y*r = -a - 17, a - 15 = 4*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1806 - -3383. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 4*v. Let w(s) = s**2 + 6 + 1 - 6*s - 2 + 0*s**2. Let b be w(4). Give t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4.2. Let u = -1 + p. Which is the second biggest value? (a) -4 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0\/((-6)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12749300*m**2 + 142625010*m wrt m.\nAnswer: -25498600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (276\/(-4))\/((-2 - 5) + 4). Solve 5*x = -m - g, 4*x - 2*m + 9 = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*r + 185 = 7*o, 72 = 2*o - 3*r. Calculate the highest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 12402877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2518*x**3 - 23*x**2 - 42*x + 2.\nAnswer: 15108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15027?\nAnswer: 3, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1820*v + 77*v**2 - 1820*v)*(-158*v - 92*v + 160*v).\nAnswer: -6930*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:48 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-6 - -11) - 20.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22408 is divided by 7456.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6833 - -11649. Which is smaller: 4815 or n?\nAnswer: 4815","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -90, -5, 2 in ascending order.\nAnswer: -90, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.489\nAnswer: 1.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. Let g(a) be the third derivative of -3*a**5\/20 - 22*a**2. Determine q(g(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 + 4*m - 2. Let z be k(3). Let s be (-6 + 7)\/((-2)\/8). Which is the closest to -1? (a) s (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.484 - 0.094. Let r = -0.26 - x. Round r to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7\/11)\/(11010\/(-20185))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32052 is divided by 444?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 - v - 1. Let m be z(-1). Suppose -37*n + 39*n + 3*j - 88 = 0, -3*j = -12. Let k be ((-57)\/n)\/((-6)\/8). Solve m = w + k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 15, 3*q + 0*q + 62 = f. Solve -f*u = -78*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4103711 to 2 dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let u = 1862 - 1319. Let x = 543.1 - u. What is the third biggest value in 3\/4, x, n, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*5)*6 - sqrt(15)\/(sqrt(3) - ((sqrt(3) - -4*-1*sqrt(3)) + sqrt(3))).\nAnswer: 13*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44313666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from occsfowxwoc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5789 + 5794. Sort 28, g, 1.\nAnswer: 1, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-3) - 20\/12 - -18418 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5007544 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -80)*-1*1. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*a = -1225 - 1372 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q**4 - 1\/30*q**5 + 0*q**3 + 0*q**2 + 2*q + 1. Let c(j) be the first derivative of a(j). Factor c(h).\nAnswer: -2*h**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Suppose x = 4*q - q - 56, -48 = -2*q - a*x. Let d(z) = -z**2 + 6*z - 3. Let h be d(4). Solve -h*t = -0*t - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -2 + 7 - 15 - -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 75*h + 10. Let a be z(3). Let y be (-10)\/1*2000*a. What is y rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsztt. What is prob of sequence jz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(220))\/sqrt(10) + sqrt(110)\/sqrt(20))\/(((sqrt(2)*-1 + sqrt(2))*-1 + sqrt(242)*2)*-5).\nAnswer: -3*sqrt(11)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 469924.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 = a - 13*q, -4*q = 2*a + q - 116 + 336 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/5 + 104*p**4\/5 + 1346*p**3\/5 - 308*p**2\/5 - 3848*p\/5 + 2704\/5 = 0 for p.\nAnswer: -26, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001000111000 (base 2) to base 10.\nAnswer: -29240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54527 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 5, u: 3, g: 6, b: 3}. Give prob of sequence dq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -88511 divided by -88511\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 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 comes next: -3207220, -3207213, -3207204, -3207193, -3207180?\nAnswer: -3207165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 30*x. Let n be q(1). Suppose -m = u - 8, n = 3*u + m + 12. Suppose -u*s + 15 = -45. Calculate the highest common divisor of 8 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 2\/13 (c) 162 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (0\/(-3) - -2). Suppose -2*v + 3 = -d. Solve -v + 6 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3*(-90)\/(-20). Suppose -d - z + 24 = y*z, d + z = 9. Suppose d*b - 3*n = 20, -3*n - 8 = -2*b - n. What is the highest common divisor of 64 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (250\/(-5750))\/((-468)\/92)?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.38023 rounded to two dps?\nAnswer: 37.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.7. Which is the nearest to 0? (a) p (b) -2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 3213 = 1513. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s - 19*s + 46*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 - n**2 - 11*n + 57. Let w = -13 - -21. Does 37 divide v(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 151*g + 53. Determine i(-2).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8071401.\nAnswer: 3, 13, 43, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 0*b + 11\/2*b**2 - 20 - 11\/4*b**4 + 0*b**3. Find the second derivative of u(n) wrt n.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -29, -0.03, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -2, 21 in descending order.\nAnswer: 21, 11, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 447 = 92*y. Solve 0 = -x + 3*l, -y*l = 2*x - 2*l - 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13404593428 and -1.\nAnswer: -13404593429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042009481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-18)*(70\/(-55) - 2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**3*g**2*s**2 + f**3*g*s + 4*f**3*g + 529*f*g**2*s**2 - 1086*g**2*s wrt s.\nAnswer: 16*f**3*g**2 + 1058*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309438, 309448, 309472, 309516, 309586, 309688, 309828?\nAnswer: 310012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (-7 - (-5 - (-5 + -5)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 134\/3 + 0 + 6. Which is smaller: q or 52?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298 + 582. Let p = -284.4 + f. What is the biggest value in p, -1\/6, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i. Suppose -c - 2*j = 8, -5*c + i*j = 4*j + 70. Let r = c - -33. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let h(p) = -16*p - 283. Let t be h(-18). Calculate f(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17953 + -718.\nAnswer: -18671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168232 is divided by 84100?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, 118, -3, 5 in descending order.\nAnswer: 118, 5, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2683.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.329 + 4.229. Let i = 4.2 - v. Put i, 4, -5\/6, -0.3 in descending order.\nAnswer: 4, i, -0.3, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 14*r**2 - 14*r - 12. Let l be m(-13). Let d be -1 + (20 - (-11 + 23)). Put l, 2, d in ascending order.\nAnswer: l, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 5 - 2) + -2. Let i(f) = -f**2 - 2*f - 3. Let d be i(0). Is d greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10280, 22182, 34084?\nAnswer: 45986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/57 and -17\/10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 divided by -56?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12364 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 1)*(101586*a**2 + 14*a**4 - 101584*a**2 + 11*a + 4*a**4) to r*a**4 + l*a + j*a**3 + t*a**2 + d and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**3 - 8*j**2 + 7*j - 33. What are the prime factors of t(-11)?\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Let z = m + -2. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4930 - -4932. Solve 0 = 4*a - v*l, -9*a + 10 = -10*a + 3*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1580 and 800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*r**2 - 2 - 49*r**2 - 47*r**2 + 125*r**3 wrt r.\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 3. Suppose -11 = 3*b - 5*a, -93*a - 8 = -89*a. Let v(n) = 1 + 3*n**2 - 12*n**2 + 10*n**2. Calculate b*v(o) - 2*d(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -4*m + 116, -2*m + 56 = 2*q. Suppose 29*c - m*c - 1625 = 0. What is the greatest common factor of c and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 16173977568?\nAnswer: -16173977567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*((f**6\/f)\/f)\/f*f**(3\/17) assuming f is positive.\nAnswer: f**(71\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + sqrt(1377) + -3*(sqrt(1377) + 0))*2 - (3 + -4 + 1 + sqrt(1377)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -7. Which is greater: -4\/5 or s?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -828*o + 64. Let k be z(-12). What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.52, 4, 0.5, 0 in decreasing order.\nAnswer: 4, 2.52, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3*r - 49, 1986*r - 1987*r + 595 = -146*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*t**4 + 0*t**4 - 38*t + t**4 + t**4 wrt t.\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-14)*(2 + 0). Suppose -t*v = -v + 270. Let y = v + 195. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 106. Let v be n(-36). Solve 6*o - 5*o = v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 + 52461*d + 11329*d.\nAnswer: 63790*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -870, 0, -5, -6 in increasing order.\nAnswer: -870, -6, -5, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(255\/45 + (-12)\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - (-60)\/14. Suppose t*f - f - 21 = 0. Suppose 0 = -3*y + f*y. Which is bigger: 1\/3 or y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -731*f**4 - 753*f - 1827. What is the derivative of a(z) wrt z?\nAnswer: -8772*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-4)\/2 - -13. Suppose 5*s - t = 4*b, 5 = s - 5*b + 2*b. Let o be (s\/4)\/((-1)\/10). Sort -3\/7, o, 5 in decreasing order.\nAnswer: 5, -3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 97. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -o + 2, 8 = 4*b + 2*o - 4*o. Suppose 3*u = -b*g - g + 21, -8 = -2*g. Differentiate 6 - u + 1 - 5*k**3 wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 45*c - 25*c - 112*c + 34*c + c**3.\nAnswer: -c**3 - 148*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436ca (base 13) to base 2.\nAnswer: 11101110010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/60 - 4*h**2. Let n(i) be the second derivative of 6*i**3 - 30*i. What is n(k(r))?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - 55. Let d = 23 - o. Let n be (d + 7)\/6*(-6)\/(-4). Solve -b + n*x - 8*x = 13, 0 = -4*b - 2*x - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*f - 40*f + 2*c + 6, 0 = -f - 5*c - 24 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p**3 + 3 + 427 - 24*p**3 - 430.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -337918.23 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 140. Calculate the greatest common factor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y - 3. Let s be a(0). Let r = 244 + -1721\/7. Is s bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 4*v - 5. Give w(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let t(r) = r**2 + 17*r + 2. What is t(o) + 3*x(o)?\nAnswer: o**2 + 14*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-2691) + (-865985)\/32085\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + k + 10*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 8. Suppose -3*j = 5*k - 40, -j + 2*k - i = -0*j. Suppose -2*w - 7 = 3*u, -20 = -4*w + j*u + 21. Calculate the lowest common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/8*i + 0 - 9\/4*i**2 = 0. Calculate i.\nAnswer: -5\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5)*265\/(-159). What is the biggest value in v, 45, -3, 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33121113 (base 4) to base 14.\nAnswer: 18da7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3956680 and 910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.49 + -0.69. What is s rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 663851107 and 0.11.\nAnswer: 663851107.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/33)\/(6\/(-860)). Let j = p - 78. Let m = 0.43 + -0.03. Put j, m, -5 in decreasing order.\nAnswer: m, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129355.\nAnswer: 5, 41, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Let r(t) = -t**2 + 7*t - 10. Let v be r(5). Suppose v = 12*z - 10*z + 2. Put n, 3, z in increasing order.\nAnswer: z, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12783 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*l + 18*l = 440. Let x(a) be the second derivative of -a**5\/20 + a**4\/12 + a**3\/6 - a**2\/2 + a. Give x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5082, 14\/33 in decreasing order.\nAnswer: 14\/33, 1\/3, -5082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -740452?\nAnswer: -740451.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5843808 by 3546.\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 62*c**2 + 7*c - 56. What are the prime factors of j(-33)?\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8282384 and 79\/128376952.\nAnswer: 256753904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*a - 2 = 2*t - 485*a, -2*t + 3*a = 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 43. Suppose 6*j + g = 3*m + 5*j, -4*j = -3*m + 23. Calculate the greatest common factor of 153 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 246440 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*d + 4, 4*d = -16. Solve 0 = -6*x + u*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 3*y**2 + 5*y**2 - y - y**2 + y + (0 - 2*y + 0)*(2*y - 5*y + 0*y) - 3*y**2 + 3*y**2 + 3*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2123)\/21 + ((-680)\/5712)\/(15\/(-12)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 19620 = -3*u, 617 = -n + 4*u + 4518. Suppose -n = 44*d - 23633. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 1694.\nAnswer: 20\/847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14656589 and -0.3.\nAnswer: 14656588.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/9 - 16*n\/9 + 4\/3 = 0 for n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 136?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/(259\/7560) + -10 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 176 + j + 11\/2*j**2 - 20*j**3. Factor r(a).\nAnswer: -(4*a - 1)*(15*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - -23. Is 39 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 9*v. Suppose -6*i + 45 = 27. Let f be z(i). Suppose 12*k - 8*k - 1240 = f. Is 48 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*w + 12, -18 = -5*w + 2*b - 6. Let m = 11 + w. What is the remainder when 38 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1518 (base 14) to base 7\nAnswer: -13631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14078950511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 151*s**2 + 99*s**2.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 376?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 725 - 3?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (65007\/(1 - -92))\/((-310)\/313 + 1).\nAnswer: 233, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390585 divided by -10015\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 2 + 12*b - 12*b in the form t*b**2 + k*b + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2315*r - 94918. Determine z(-41).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 0*q**3 - 3*q**3 + (3 - 6 + 2)*(-4 + 4 + 3*q**3) to w*q**3 + x + t*q + f*q**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5625?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17, -98, -217, -362, -521, -682?\n\"Answer: 2*t**3 - 31*t**2 - 2*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:01 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 110, 120, 108, 68, -6, -120, -280?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646519563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 242\/66*(-2)\/11\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by 30098.\nAnswer: 34\/15049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8281 + -2772. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/7)*i)\/i*i*i)\/i*i)**(-4))**(4\/31) assuming i is positive.\nAnswer: i**(-192\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 937056 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 863*t**2 + 34869*t\/2 + 44523.\nAnswer: -(t - 1746)*(t + 3)*(t + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9971 and 32\/2783261?\nAnswer: 164212399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 133, -5, 165, 124, -1, 2 in descending order.\nAnswer: 165, 133, 124, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let c(k) = -7*k + 4. Let q(i) = c(i) - 4*v(i). What are the prime factors of q(-12)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/72 and 121\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 3.93. Suppose -3*c + 118 = 4*r, -4*c = -6*c - 2*r + 76. Let n = -63\/2 + c. Sort n, 2, w in descending order.\nAnswer: n, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-45))\/(-4) - 24\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - 1)\/3)\/1. Suppose -a + 4*z = -14, -2*a - 3*z - 4 - 1 = n. Let d(l) = -2*l - 4. Let k(p) = -2*p - 3. Let u(q) = 2*d(q) - 3*k(q). Give u(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(28)\/(sqrt(21)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 156475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -1734*u + 3504*u - 60*u**2 - 1716*u + 161 - 45 + 2*u**3 = 0.\nAnswer: -1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/209 or -1\/3?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(-2 + 1 + 0)*(2 - 4 + 0)*(-6 + 2 - c - 2*c) as u*c + s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -2.03. Is 1 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)*(-7 + 220\/33). Is -7\/22 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + 3)*(29 + 2). Let g = -217 + v. Sort -3, -12, g in descending order.\nAnswer: g, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*m + 468*m - 88*m.\nAnswer: 686*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*k - 473*k = -20. Suppose 179*o**4 + o**5 - 182*o**k + 4*o**2 - 2*o**5 = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304+253\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 28822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkvdqkdvvvk. What is prob of picking 1 q, 2 k, and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*(-1)\/((-3)\/12)*(-20250)\/(-4000).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5264*r + 5265*r = -3*n + 20, -3*n + 22 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64878*s**2 + 64878*s**2 - s**3 + 6*s**3 + 3*s**3 - 12*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 6511*l**4\/24 + 400*l**3\/3 + 7385*l**2. Differentiate s(q) with respect to q.\nAnswer: 6511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3035431176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 749929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (14 + 18 + -18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 133 - 12 = 4*j, 45 = -j + 3*a. Let r = -25 - j. Suppose -r*d - 44 + 224 = 0. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692 = 16*d - 12*d + 4*c, -d = -2*c - 429. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 + 8*d**2 + 575310 + 8*d**2 - 7*d**2.\nAnswer: 9*d**2 + 575705","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 + 4*a**3\/9 - 8*a**2\/9 - 16*a\/9.\nAnswer: 2*a*(a - 2)*(a + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449380 and 43300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62166.1 rounded to the nearest one hundred?\nAnswer: -62200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -3. Calculate the lowest common multiple of 22 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109473503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*b + 1)*(2 + 3 - 4)*(0*b + 3*b - b) + 266*b - 266*b + 112*b**2 + 2*b**2 + 0*b**2 - 4*b**2 to v*b**2 + q*b + c and give v.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/7, 6, 17\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*s**2 - 4*s**2 - 5*s**5 - 3*s**2 wrt s?\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + (sqrt(1872)*3)**2*6 + 0 - (((3 + sqrt(1872))*4)**2 + -5).\nAnswer: -1140*sqrt(13) + 70997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306901227 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(170)\/sqrt(10) + 5 + 0))**2.\nAnswer: 2250*sqrt(17) + 9450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1102 + 982. List the prime factors of c.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20469, 42938, 65407, 87876?\n\"Answer: 22469*n - 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9769 - 294?\nAnswer: -10063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3198*b**2 + 3198*b**2 - 80*b**3 + (2*b - 2 + 2)*(0*b**2 + 4*b**2 - 2*b**2) + 2*b**3 + 4 - 4 + 710*b**2 - 192*b**3 - 710*b**2 + b**3 - b**2 + b**2.\nAnswer: -265*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 x when four letters picked without replacement from gaagmxux.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**2 - 6*z - 15. Let k(s) = 90*s**2 - 30*s - 74. Give 11*f(h) - 2*k(h).\nAnswer: 7*h**2 - 6*h - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -323204 by 476.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 1. Suppose 3*i - 3*q + 15 = 3, 5*i + 5*q - 30 = 0. Suppose -22 = -5*t + 8. Let l(o) = 3 - t + 2 + 2. Give i*g(f) - l(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 108*j**3 - 172*j**2 + 197*j - 26. Determine u(1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 55. Find the third derivative of 2772*o**2 + 2774*o**2 - 5548*o**f - 157*o**3 - 53*o wrt o.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 2*q**2 - 50*q**3 - 12*q + 4*q.\nAnswer: -53*q**3 - 2*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3945)\/(-2)*(8 + (-288)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 89.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - x - 4*x = 39, 4*x = 5*z - 42. Let l(o) = o - 4. Let t be l(z). Let b be (2 - 3)\/((-1)\/5). Put t, b, 1 in increasing order.\nAnswer: 1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/6)*(((d**(-2\/3)\/d*d)\/d)\/d)\/d*d)**(-13)*(d**(2\/13)\/(d\/d**0))**(-9) assuming d is positive.\nAnswer: d**(705\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -8 + (1 - 3) + 2 + 20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -0.9. Let t = -6 - w. What is the smallest value in 2\/23, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 194606, 194536, 194466, 194396?\n\"Answer: -70*z + 194676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 19*f + 1. Let r be w(-19). Let h be (0 - 1)\/(-1) + 2. Factor -4*a**2 + 7\/2*a + 3\/2*a**h - r.\nAnswer: (a - 1)**2*(3*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/39 + 137\/156. Let g be ((-10)\/(-25))\/((-1)\/(-65)). Suppose -2*h - 2*m + 8 = -6, -3*h - 4*m = -g. Which is the biggest value? (a) i (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955471111 to the nearest integer?\nAnswer: 30911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1337999744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from pdk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 31*v**2 - 33*v - 90. Let q be y(-30). Solve q + 4\/3*r**5 + 0*r**2 + 0*r + 0*r**3 + 0*r**4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j + 11*h - 7*h, 0 = -4*j + 4*h + 24. Suppose j*x - 66070 = -7*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/2940*-28)\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366527.\nAnswer: 7, 52361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 26*b + 1 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 2*x + 1. Let d = 180 + -175. Suppose 5*z - 31 = 9. Suppose 3*n + d = r - 5, 3*n + z = -r. Calculate c(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4 + v - 4*v + v**2 - v + v. Let k be b(2). Solve t = -3*z + 8, -k*t + 2 + 6 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24410, 46728, 69046, 91364, 113682, 136000?\n\"Answer: 22318*c + 2092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h**2 - 118 + 118)*(2 + 1 + 0).\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*f = 12, -2*t + 4*f = -0*t + 6. What is the smallest common multiple of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) 2\/9 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 721*d - 818 = 708*d, 0 = -45*d + 2745 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -505 + 4?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2355546 divided by 6\nAnswer: 392591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 - 23*t + 5. Let w(b) = -3*b**3 + 11*b - 2. What is 2*u(l) + 5*w(l)?\nAnswer: -l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9100 times -4\nAnswer: 36400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) - (sqrt(1872) - (sqrt(1872) + sqrt(1872)*2 + 3))) - (sqrt(1872)*4 + 3)*-3)**2*2.\nAnswer: 38880*sqrt(13) + 3371058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, -5, 3 in descending order.\nAnswer: 3, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*k**3 - 141*k**3 - 133*k**3 - 144*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 75395.\nAnswer: -3\/75395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*a - 142, g + 3*a - 9 - 24 = 0. Let y be ((-16)\/(-2))\/(4\/6). Calculate the highest common factor of y and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -1.2001.\nAnswer: -3.2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 21 - 39. Suppose -14 + 11 = -2*o - 5*k, -5*o - 7 = -p*k. What is the fourth biggest value in o, 2\/5, 0.8, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110060 - 8780. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from mhfhacc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 15598832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 4*b**3 - 371392 - 8*b**2 + 4*b**3 + 6*b + 371395 as h*b**2 + v*b + i*b**3 + n and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s = -59*s + 76*s - 1206 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 172190000 to the nearest one million.\nAnswer: 172000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 358, 360, 360, 358, 354, 348?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y + 1. Let c be m(-3). Let k = c - 8. Calculate the highest common factor of 121 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.644 and -0.5?\nAnswer: -13.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, 2\/9405 in ascending order.\nAnswer: -4, -0.1, 2\/9405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/3, 18, -0.13, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, -15, 3, -2, -120 in descending order.\nAnswer: 5, 3, 2, 1, -2, -15, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -60*n + 78 + 723 + 1307 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9525 + -1084818.\nAnswer: -1075293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/7 + 16*h**3\/7 - 26*h**2\/7 + 12*h\/7 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(336\/(-20)))\/(1\/(-2))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8468819 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - 1001011000100111110111?\nAnswer: -1001011000101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 2 - 1\/3*t**3 - 2*t**2 + 0*t. Find the second derivative of m(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*n + 3 - 98*n - 227*n.\nAnswer: -769*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 8. Let r be g(-6). Let p be 8\/(-10)*30\/(-4). Let k be (161\/49 + -3)\/(-3*(-8)\/28). Which is the closest to p? (a) 2\/9 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14755065 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 17.841?\nAnswer: 7.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000011100000101 + -10010101?\nAnswer: -10100000011110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/j**(-2\/13))**(-13))**(4\/17) assuming j is positive.\nAnswer: j**(-268\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 181*x**2 + x. Let y be p(-2). Suppose -12084 = -19*a - y. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142039 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.32, 5, -5?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**2 + 9*k + 37. Let x(w) = -3*w**2 - w - 1. Let r(c) = -3*j(c) - 15*x(c). Solve r(o) = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.1 (b) 6 (c) -2 (d) -2\/13 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123\/1432 + -37709\/93080. Find the common denominator of 13\/140 and x.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -y = 6*a + 9. What is the units digit of ((-3)\/a)\/(12\/296)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:56 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4011*i**2 + 2367 wrt i.\nAnswer: -8022*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y - 76. Let l(p) = 2*p + 15. Let v(u) = -2*g(u) - 11*l(u). Is v(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107700 and 35900.\nAnswer: 107700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 4.4\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*z + 140*z + 10010 = -171*z - 270*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117061398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(99) - -2*sqrt(99)) + -2 + -1 + sqrt(99) + 3 + -1).\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -113. What is the third biggest value in j, 1, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-7) - 424\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 4) to base 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 - 69*p**3\/2 - 720*p**2 - 4736*p.\nAnswer: -p*(p + 16)**2*(p + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-3) + 0)\/(-1). Let u = 27 - 26. Suppose 8*d = -9 + u. Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -285, -265, -227, -165, -73, 55?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jfxjxfzzffzxfxx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883525970.\nAnswer: 2, 5, 13, 29, 587, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9688, -8224, -6764, -5308, -3856, -2408?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, n: 4, r: 1, b: 2}. Give prob of picking 1 a and 1 b.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -505 + 520. Let m be -3*3 - (-4 + 1). What is the remainder when (-3)\/(-6) - 351\/m is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8130 * 30\nAnswer: -243900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.9 plus 3?\nAnswer: 297.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 (base 6) in base 8?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34772 is divided by 17370.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12735 and 0.36?\nAnswer: 4584.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237.999903 + -238. Round g to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/80 + 1948\/5. Is o greater than 390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -128, 6, -3, -25, -4, 3 in ascending order.\nAnswer: -128, -25, -4, -3, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-600)\/201 + (-1 - -2) + 2. Let j = 76\/603 - f. Which is the third smallest value? (a) j (b) 2\/11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92 + 20*g + 64 + 107*g - 150 - 89 with respect to g.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + a - 6 = 3*j, 0 = 3*j + 4*a - 22. Suppose 0*n + 2*n + 8 = -j*s, -4*n - 17 = 3*s. Let i(g) = g + 5. Determine i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.7 from 0.045.\nAnswer: -11.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25\/162 - 1399\/405. Calculate the common denominator of -23\/51 and v.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m + 0*m - m - 7 - m wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 364.6\nAnswer: 364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5. Let h = 626 - 631. What is the nearest to i in -2, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1365*s**3 - 1443*s**3 + 4*s**2 + 6*s**2 as z*s + k + h*s**2 + i*s**3 and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b\/b**(-2\/3))*b)\/b)**9\/(b**(-4)\/(b*b*b\/(b\/(b\/(b*(b*b\/(b\/(b*b**6\/b*b)))\/b))))) assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.041 + -2.941. Let n = 3 + h. Let o = 224.7 + -225. What is the second biggest value in n, o, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/7560 - 7*s**6\/720 - s**4\/6 + 5*s**3\/6 + 28*s**2. Let x(l) be the second derivative of y(l). Find h such that x(h) = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - -3*(sqrt(2688) - (sqrt(2688) - (sqrt(2688) + 1*sqrt(2688)) - sqrt(2688))))\/((sqrt(150) + 2*sqrt(150))*-1 + sqrt(150)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 + -0.01. Let s = u + -0.03. What is s rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -18*r. Suppose 3*k = k + 4. Suppose -24 - k = -2*v. What is the remainder when l(-2) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 80 = -16*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345 and 39.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-11852151.\nAnswer: -47408604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-3 + 2)*(-2)\/(-3). Solve -2*h = -c*h + 4*o - 4, -o + 1 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67\/2 - 33. Let n be (-1)\/(3\/((-6)\/25)). Suppose -7*f + 7 = -0*f. Which is the nearest to f? (a) -3 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d + 2 = -w, 2*d = -4*w + 32. What is the third derivative of 2*t**2 - t + 32*t**w - 30*t**6 + t + 19 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.69 - 0.31. Let m = r + 69. What is the closest to m in 3, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50542 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61042659 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233*u**2 + 40*u**3 + 2*u**4 - u**4 - 99*u**2 + 353*u**2 wrt u.\nAnswer: 24*u + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*r - 2796, 158*v - 2803 = 2*r + 153*v. Is r greater than or equal to -1399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7393 - -1.7393. What is the fourth smallest value in a, 2\/7, 4, 5, 10\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521135 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2887*f = -2891*f + 202, 2*h - 5*f + 130 = 0 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737899993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 24. Let u = -21 + 21.2. What is the smallest value in -1\/10, u, 4\/7, j?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 6*f + 3*f)*(-1051 - 935 - 326).\nAnswer: 6936*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*z + 15, -2*z + 5*q = z - 20. Let x(j) be the third derivative of 1\/6*j**3 + 0*j + 1\/60*j**z - 1\/120*j**6 + 0 + 2*j**2 + 0*j**4. Give x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*i*p - 198841*i + 93*p**2 - 2*p - 2 wrt p.\nAnswer: 24*i + 186*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31905 and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 679500.\nAnswer: 10872000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5581958 or 5581831?\nAnswer: 5581831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22487*o = 22123*o + 20078 - 1878 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-302)\/(-13590))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -191\/2 (c) 183 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) + ((-98)\/(-4) - 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875 divided by 29?\nAnswer: -1875\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8471 divided by -36\nAnswer: -8471\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 2476?\nAnswer: 2476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlrl when four letters picked without replacement from rlrrrrlrlrrrrrrrlr?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose -d*a = 49 + 71. Let s be 1*(1\/(-3) + (-550)\/a). Solve -s = -2*o - 3*m, o + 2*o + 3*m - 21 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3697 divided by 7.\nAnswer: 3697\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90\/135*(153\/1 - 0) is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -7, 5, -1, 1, -1345, -2.\nAnswer: -1345, -17, -7, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27487418 divided by 4.\nAnswer: -13743709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 399 - 370. Solve 56 + 31 = n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4293329008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 14*m**2 - 14*m - 16. Calculate f(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(6\/1800*-9). Suppose l = -t + 245. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -3*v + l - 73, -281 = -5*v + 3*l. What is the remainder when v is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.1 (c) 1\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1593 and 1498 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 6*c**2 + c + 8. Suppose 3*r + z - 23 = 0, 3*r + 3 + 4 = 5*z. Let t be u(r). What is the highest common divisor of t and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 167, 197, 229, 263?\n\"Answer: j**2 + 27*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, -52\/9, 2\/11, 111?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160410 + -147737624\/921. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2170 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 + s**3\/3 + 14*s**2. Let m(f) = -f - 1. Determine -m(y) + x(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 3063406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 42 = 5*k, -5*k - 70 = 4*m - 161. Solve t - m*t = 90 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43346000 to the nearest 100000.\nAnswer: 43300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*s - 13928, -4*s + 3*y - 7147 + 25706 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 57 - y + 12 + 42 + 30 in the form d + v*y and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-10) - (-2 + 0) and -69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 1:41 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4039.\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 4, i: 2, c: 9}. Give prob of picking 3 d.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -267\/231877?\nAnswer: -267\/231877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x = 24 + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 + -110101?\nAnswer: -1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 309 = -r, 0 = r + 5*y - 155 - 154. Let w = 437 - r. What is w rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y - 90483 = -2*u - 42*y, 0 = y + 7. What is the highest common divisor of 82 and u?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 10*b + 38. Give o(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - t**2 + 13*t. Let b(y) = 8427*y**3 - 4*y**2 + 52*y. What is b(u) - 4*j(u)?\nAnswer: 8423*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 = -5*i, 3*z + 2*i - 4 = -0*i. Suppose -2*l - z = 2*l. Is ((-84)\/(-20))\/(l\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.582 + -685?\nAnswer: -720.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:31 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 626, 1184, 1642, 1946, 2042, 1876, 1394?\n\"Answer: -9*d**3 + 4*d**2 + 609*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -42 + 56 - 57\/(-3). What is the greatest common factor of x and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*u = -4*u + 76, o - 2*u - 38 = 0. What is the least common multiple of o and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 27 = 5*b, -b + 4*b - 13 = -2*j. Suppose 3*o = -0*o + b*v, -4*o + 4*v = -8. Let i(q) = q**2 - 2*q - 7. What is the units digit of i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 421324, 421352, 421380, 421408, 421436?\nAnswer: 421464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 8*a - 11. Let m be t(3). Suppose -4*q - m*q = -1432. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t**3 + 3*t**2 + t + 215. Let n(c) = -21*c**3 - 6*c**2 - 2*c - 435. Calculate -17*b(h) - 8*n(h).\nAnswer: -2*h**3 - 3*h**2 - h - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8306 = -4*g, -185*g + 188*g + 3 = 0. What is the remainder when d is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 = 5*j, -4*f + 6 = 4*j - 6. Suppose 4*g + 0*m - 103 = -3*m, 135 = 5*g + 5*m. Let q(l) = -g + l - 2*l + 51 - 31. Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 5947730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47184 by 7864.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 16. Calculate m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759 + 672 = 187*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -319699844*n*x**3 - 8*n - 4228880*x**2 wrt x.\nAnswer: -1918199064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 94, 184, 294, 418, 550, 684?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5460 - 4386. Is 40 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {y: 1, s: 1, b: 1, f: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2 + 20*s - 84. Let a(o) = -23*o**2 - 57*o + 251. Give 6*a(r) + 17*w(r).\nAnswer: -2*r**2 - 2*r + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-8)\/4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/((-9)\/(-6)). Let p be 2*(o + -3 + 3). Solve -6*d = -5*l - 2*d - 20, 20 = p*l + 4*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -26*k - 34. List the prime factors of f(-6).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 13*q - 2. Let a be r(12). Let n be 392\/70 + (-6)\/a. Factor -3*l**4 + 2*l**5 + l**2 + 2*l**4 - 4*l**5 + l**n + l**3.\nAnswer: -l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 1. Suppose -2 = 2*b - 4. Suppose -b = 2*w - s, 2*w - s = 4*w + 3. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4736 + -2792. Suppose -8*y - i + 424 = 0. Let n = 72 - y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czps when four letters picked without replacement from {j: 1, t: 1, c: 1, p: 2, s: 2, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microsecond in nanoseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l**3 - 2*l**2 - l. Let s be o(-1). Let q = 3 + s. Let a = 41 - 7. What is the remainder when a is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x = -350377 + 350713 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -342000, -342001, -342002, -342003, -342004, -342005?\n\"Answer: -t - 341999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*l + 33*k**3*r**2 - 7*k**2*r**2 - 2*l*r**2 + 8*l wrt k.\nAnswer: -6*l + 198*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, b: 8}. What is prob of sequence bj?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090816368 to 6 decimal places.\nAnswer: 0.009082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3140 and 1570.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/9 (b) -2\/9 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-176 - (-159 - -63))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 3) to base 11\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63685 - -63684.9872015. What is a rounded to four dps?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676 a factor of 3745322004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let t(z) = 4*z + 2. Let j be (2 - 3)\/(3 + -2). Let k be (-3)\/(((-9)\/6)\/j). Let f(n) = k*t(n) - 6*u(n). What is the derivative of f(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -12*k**2 + 21*k**3 + 25*k**2 - 3*k**5 - k**2 + 6*k**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113\/99 - -15\/11. What is the nearest to 1 in -5\/11, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:14 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545, -729, -1053, -1523, -2145, -2925, -3869?\nAnswer: -4983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441879341.\nAnswer: 2851, 154991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -97. What is the fourth biggest value in 2\/19, l, -2\/23, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x - 8. Let w be v(6). Let n be 2 - 2 - (-85)\/(-68). Which is the fourth smallest value? (a) w (b) n (c) 0.2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -348. Let t = 298 - r. Suppose 2*g = -g - 4*s + 22, -3*s = -g + 16. What is the remainder when t is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8 + 2*z**3 - 23*z - 12*z + 39*z + 20*z**2. What is the units digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9 and 93\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = 2*f - 703. Calculate the remainder when 1776 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 + 195. Let j(x) = x**3 - 6*x**2 + 10*x - 6. What is the remainder when j(6) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1671666989 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 412956, 825911, 1238868, 1651827, 2064788, 2477751, 2890716?\n\"Answer: w**2 + 412952*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 130a?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3809 = -3*n + 4*c - 1347, 2*n - 1647 = -3*c. What is the greatest common factor of n and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = 2*y - 3*x, 4*y = 5*x - 7. Solve 14*q + 35 + 4*q**2 - 11 + 2*q - 2*q**y = 0 for q.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -775104*k - 21702920. Calculate u(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2090.301453 rounded to the nearest integer?\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102630231 rounded to four decimal places?\nAnswer: 0.1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 1061050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:52 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35+-0.24\nAnswer: -35.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-13 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 792 by -2533.\nAnswer: -792\/2533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1862 or -840?\nAnswer: -840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 16 - 11. Are x and 9 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2736)*-1 + -3 + sqrt(2736)) + 0 + -4 + 1*sqrt(2736)*4 + -2)**2 + 5.\nAnswer: -864*sqrt(19) + 43862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1017408)\/72 - (-1)\/(9\/(-3)). Let z = h + 24392. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.6805ms to seconds.\nAnswer: 0.7266805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 557\/6. Let z = a + 0. Is z smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*j - 24 = -314*j. Which is the closest to 1? (a) 2\/15 (b) -9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1832 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000176832 to six decimal places.\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/7134 and -23\/33524.\nAnswer: 4123452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -a + 15, -4*m + 0*a = 3*a - 23. Let p = -4 + 10. Calculate the lowest common multiple of p and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (157\/(-471))\/(3\/(-99))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -16.4. Which is the nearest to 0.1? (a) -4 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22821, 22819, 22817, 22815, 22813?\n\"Answer: -2*y + 22823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 2929144.71167.\nAnswer: 2929140.71167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 9 + 4 = -5*g, 5*b + g - 13 = 0. Let s(w) be the first derivative of 2\/3*w**3 + 1 - 2*w**2 + b*w. Factor s(i).\nAnswer: 2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((2\/(-20))\/((-15)\/30))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7) - sqrt(49)\/(sqrt(7) + 2*sqrt(7)) - (0 + -1 + sqrt(7)) - sqrt(63)\/(sqrt(27)\/(sqrt(9)\/sqrt(3)))))**2.\nAnswer: -32*sqrt(7)\/3 + 484\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5603\/240 - 1\/80. Let r = -831\/4 - -224. Find the common denominator of t and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761232?\nAnswer: 2, 3, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 4. Let i be v(-2). Let n be (-22 + 6)\/(-3 + 1). Differentiate -13 + n*z + 1 - i - 2 wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 3, s: 3, v: 3, c: 1, o: 1}. What is prob of sequence so?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-1 - 44\/(-32)). Calculate the greatest common factor of 32 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -10*q + 9*q. Suppose 28*w = q*w + 4. List the prime factors of ((-56)\/8)\/(w\/(-22)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:28 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = 14, 0 = -3*u + 4*r + 32. Find the common denominator of u\/1 - (-68)\/(-28) and 71\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 171*i - 1932. Let g(u) = 2*u. Give a(g(s)).\nAnswer: 342*s - 1932","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 86*q**2 + 3583*q - 23. What are the prime factors of g(-46)?\nAnswer: 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 11793.\nAnswer: 11792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*o**2 - 326*h**2*o + 2541*h*o + 92104*o**2 wrt o?\nAnswer: -22*h**2 + 184208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:18 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 271108 - -193734601.\nAnswer: 194005709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25538630.4 milliseconds to days.\nAnswer: 0.295586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 71064*i**2 + 213156*i.\nAnswer: 4*i*(i + 3)*(i + 17763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 230.53075 and -269.79.\nAnswer: -39.25925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**3 + 2*d**2 - 2*d + 3. Let c(g) = 21*g**3 - 4*g**2 + 4*g - 6. Let s(q) = 6*c(q) + 11*u(q). Is s(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 265 = g - 581, 2*s = -2*g - 418. Let k = s + 884. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 + 14*u - 40. What is j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 2, -25588, -1, 1 in descending order.\nAnswer: 2, 1, -1, -232, -25588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -8, 5, -2, 1, 7.\nAnswer: -13, -8, -2, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.3867 years in months?\nAnswer: 1036.6404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3457 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-36)\/8)\/((-9)\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(304) + sqrt(76)\/(-1*sqrt(4))) + -1 + -5*sqrt(2736)*-6)*1.\nAnswer: -1 + 367*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839446 is divided by 346.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*c + 0*c = 19, 4*o + 3*c - 18 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(76)*1 - sqrt(76)) + sqrt(76)*-2*2)\/(-4*sqrt(12)\/sqrt(3) + sqrt(4) + (sqrt(144) + (sqrt(144)*1 - sqrt(144)) - sqrt(144))).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -7\/6*q**3 - 4*q**2 - 1\/60*q**5 + 0*q**4 + 0 + 0*q. Let u(p) = p**3 - 3*p**2 - 21*p. Let s be u(0). Give b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/2 + 55*d + 339\/2 = 0. Calculate d.\nAnswer: -3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**4 - 2*v**3)*(1 + 0 - 3)*(-587*v - 28879*v + 4183*v)*(0 + 1 - 2).\nAnswer: -101132*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 28 (b) 1\/7 (c) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 7*q**2 - 14*q**2 - 2.\nAnswer: -15*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r + 16 = 0. Suppose -65 = 3*i - 4*i - 4*s, -4*i - 2*s = -218. Let y = i + r. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23586 minus 5.2?\nAnswer: -4.96414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 510 = -2*c, -4*i - 660 = i + 5*c. Let h = -27 - i. Let d = 59 + h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 - 7*j - 10. Let p be x(-5). Suppose -3*z + 6*o - 3*o = p, -o = 2*z. Suppose -i = 3*i - 20. Solve 0 = i*y - 5 - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -145563, -3?\nAnswer: -145563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a - 2. Let o = 51 + -50. What is the remainder when j(4) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19392278 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 + l**3 + 7*l - 15*l**2 - 4*l - 4 + l**3. Does 43 divide o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r - 13. Calculate p(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 3. Let h(c) = c + 5. Let w be 0\/(1 + -4) + -4. Calculate the least common multiple of y(-3) and h(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:04 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544\/(-408))\/(4\/72).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 25\/7)*(-14)\/4. Suppose -18481 = c - 5*b, -4*b - 36973 = t*c - 3*b. Is (c\/(-36))\/(2\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 - 0.05. Let y = t - -0.06. Let x = -7 + 4. Which is the biggest value? (a) 0.3 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 149524314 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/200 and -143\/114.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 346324 divided by 86581?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueuvruurueuurueurue. What is prob of picking 1 v, 1 r, and 1 e?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883147657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 6*v.\nAnswer: -2*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32115197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*k = -284*k - 231 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let p(k) = 3*k + 1. Let i(j) = -2*p(j) + 7*w(j). Determine i(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124635?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 11077228*n\/11 - 15338122520498\/11.\nAnswer: -2*(n - 2769307)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**6\/15 + y**5\/6 + 7*y**4\/54 + y**3\/27 - 8*y. What is x in v(x) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/12 + 5*o**4\/6 + 10*o**3\/3 + 141*o**2. Solve j(s) = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -16. Find the third derivative of -28*c**4 - h*c**3 + 9*c**3 + 30*c**2 - 2*c**3 wrt c.\nAnswer: -672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 6, 4\/2967?\nAnswer: 4\/2967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5\/4 + 2295*d**4\/4 - 1086651*d**3\/4 + 103779921*d**2\/4 + 2444904*d - 233551296 = 0.\nAnswer: -1117, -3, 3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106152?\nAnswer: 2, 513269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -3*r - 37 + 224, -5*r + 34 = -12*w + 14*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z**3 + 4*z**2 + 4. Let r(s) = 49*s**3 + 7*s**2 + 7. Calculate -7*k(d) + 4*r(d).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -26*y**2 - 2*y. Let q(v) = -581*v + 3. Give h(q(z)).\nAnswer: -8776586*z**2 + 91798*z - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38256 is divided by 782?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 41*o**2 - 40*o + 228. Let z be g(17). Solve -1578*v - 7 = -z*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -r + 2*r, 0 = -3*r + 12. What are the prime factors of -4 + s - 608\/((-20)\/5)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 6*c**2 - 2. Let l be n(-4). Let v = l + 143. Calculate the highest common divisor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 46*t**2 - 237*t + 919. What is i(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - p + 0)*(11*p - 4*p + 4*p + p - 2*p - 3*p + (3*p - p - 3*p)*(3 - 1 - 4) - 1 + 1 - 2*p) in the form r*p**2 + u*p + n and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41478292?\nAnswer: 2, 19, 23, 61, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**4 - 6*q**2 + 5*q. Let g be (10\/4)\/(3\/6). Let f(d) = -d**4 + 5*d**2 - 4*d. Let u(y) = g*p(y) + 6*f(y). What is the second derivative of u(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 175 = 31*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*j**4 - 65*j*v**2 - 4049*v**2 wrt j.\nAnswer: 16*j**3 - 65*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 19. Let o(p) be the first derivative of -p**2\/2 - 2. Let y = 1 - 2. Let h(v) = -2*v**2 + 5*v + 2. What is i*o(d) + y*h(d)?\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -61\/2. Which is smaller: x or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21075?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.034 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3745 and -25\/91.\nAnswer: 48685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -9. Let m be 2*3\/(-3) + z. Suppose 2*t + 1 = m*q, -3*t - q + 41 = -0*q. What is the least common multiple of 10 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07095 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 + q**3)*(-3*q + 0*q + q) + 0*q - q**4 + 0*q + 2*q**4 - q**2 + q**2 + 105*q**3 - 26*q**4 - 105*q**3.\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 1 - 1 + 124*c**2.\nAnswer: 124*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3005a1 - 2a?\nAnswer: 300573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 + 7*c + 7. Suppose u + 9*s = 4*s - 26, 4*u - 2*s + 16 = 0. What is the units digit of g(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5800919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 31019.743 to the nearest one hundred.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 667 + -303. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1233\/2 (b) 1\/6 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:03 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - 92.9. Sort -3, -9, i in descending order.\nAnswer: i, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/10)\/((-2574)\/(-165)). Let d = -40 + 58. Let o = d - 15. Which is the nearest to -2\/5? (a) o (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -5*y**6 - 28*y**3\/3 + 29. What is the third derivative of o(u) wrt u?\nAnswer: -1800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 28 = -4*g, -19 = -4*p - 2*g + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2856 and 6426357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -201. What is the smallest common multiple of 11 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.580956 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 6, a: 2, i: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 51*h + 3870. Calculate q(-53).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2*((-686595)\/42 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**46\/((u\/(u*u*u**(-5\/9)))\/u)*u**50*u*(u**(3\/38)\/u)\/u assuming u is positive.\nAnswer: u**(33011\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -459*x + 6646 + 3370 + 28999 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8993\/4 + -2248. What is the nearest to q in -0.09, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = 5*z, 0 = -5*z + 3*g + 7 - 0. Solve z*o + 4 = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:49 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 4*y + 2. Let l(j) = -8*j**2 - 7*j + 33. Let n(q) = 6*q**2 + 7*q - 28. Let k(t) = 5*l(t) + 6*n(t). Give 3*k(b) + 5*s(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460470 or -460469?\nAnswer: -460470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 + o + 8. Suppose -6*l - l = 0. Let x be d(l). Let h(y) = y**2 + 2*y + 4. Let z be h(-3). Solve 2*a + x = 4*q - 2*a, q - z = 2*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 727*p*w**3*x + p*w*x + 7*w**3 + 2*w**2*x - 43*x - 2 wrt p?\nAnswer: 727*w**3*x + w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 92580 and 142086616?\nAnswer: 141994036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9402964*d**5 + d**3*n**2 - 1193*d**2*n + 889*n**2 wrt d?\nAnswer: 564177840*d**2 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -0.1, 1\/3, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + 1 + (26 - (70 + -51)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggiggigggg. Give prob of sequence gi.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*f. Suppose 4*k + 16 = 0, f = 3*i + i - 2*k - 24. Suppose 1 + 4 = w, -i*w = -5*g + 2765. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1095718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 5*z + 4*z + (-2 - 2 + 5)*(34*z + 9*z + 5*z).\nAnswer: 44*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-4)\/5)\/(1984\/(-90) + 22)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1453)\/(-4359))\/((-86)\/(-87) - 1). What is the closest to z in -3\/2, 0.3, 3\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*n**2 + 2*n - 6*n**2 - 129 - 2*n**2)*(-5*n + 622 - 257 - 313) in the form q*n**3 + u*n**2 + p*n + i and give i.\nAnswer: -6708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -18, 5\/3, 2 in decreasing order.\nAnswer: 2, 5\/3, 2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*u + 23, -5*y - u = -5*u - 35. Suppose g - 3*l + 0*l - 14 = 0, -g - y*l - 10 = 0. Let w(f) = 5*f - 3. What is the units digit of w(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 5*p**4\/8 - 3*p**2. Let f(t) = t. Determine f(g(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:18 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439.513 + -2.313. Let l = w - 478. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/14)\/(-1)*7. Suppose -c*w - 10 = 3*w. Let j = 12 + w. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.66 + -0.06. Let c = 4.1 - q. Sort -4\/3, c, 2\/5 in decreasing order.\nAnswer: c, 2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/(-2)*(2\/(-7))\/((-228)\/(-266))*-5?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4624208709 to the nearest integer?\nAnswer: 68002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*u - 17550 = -87*u - 372*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 8*c**2 + 8*c - 32.\nAnswer: -2*(c - 4)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(187) - (-1*sqrt(187) - sqrt(187)) - sqrt(187)) - (sqrt(187) + sqrt(187)*1*-4))\/(2*sqrt(275)*-2))**2.\nAnswer: 2873\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzz when four letters picked without replacement from {z: 5, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from wwfwwfwffwwqff?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46181 (base 10) in base 5?\nAnswer: 2434211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19875235 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: What is the greatest common divisor of 15497616 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 281672768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-111))\/(2\/6759). Let b = -2\/37 + x. Calculate the common denominator of b and -103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -0.1. Let j = 0.27 - 60.27. Let z = -60 - j. What is the third biggest value in z, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12512 and 1780036.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 + 619*v - 616. Let k be q(1). Put k, 7, 14, 0 in increasing order.\nAnswer: k, 0, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 99?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3\/5)*y)\/y*y*y*y*y**(-5)*(y**0\/y*y)\/y*y*y**(-3))**(-1\/10) assuming y is positive.\nAnswer: y**(17\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2 + v. Let m(s) = -2*s**2 + 2*s. Let z be 4\/(-6)*45\/30. What is z*m(f) + 2*x(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155126850 divided by -25854475.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 61. Suppose 0 = -z*s + 21*s - 40. Solve -5*b - s + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985499707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -84, 0.0534, -0.6?\nAnswer: 0.0534","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*c*f*g**2 + 2*c*f + c*g**3 - 222*f*g**3 - 2*f*g**2 - 2*g**3 wrt c.\nAnswer: 40*f*g**2 + 2*f + g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -254, -419?\n\"Answer: -165*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 23.3. Let q = 2 + -2. Let z = 1744\/9 - 194. What is the closest to q in z, 1\/3, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 6\/5*i**2 - 2\/5*i**3 + 0 = 0. What is i?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*c + 77*c - 27347 = 98*c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.1, -16 in ascending order.\nAnswer: -16, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((9 + -4)\/(-5))\/5. Let u = j - -13\/15. Which is the closest to u? (a) 1 (b) -1\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 9, i: 2, v: 3, r: 2}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:53 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 953 by -104212.\nAnswer: -953\/104212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*q**3 - 3936*q - 420*q + 102*q - 95*q**3 to the form y*q**3 + v*q**2 + o + n*q and give n.\nAnswer: -4254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 12 = -4*z, -16*z + 12 = -4*u - 12*z. Suppose 3*x + 5*t - 37 = 0, -2*x + u*t - t + 13 = 0. What is the least common multiple of 50 and x?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.3. Let x = 4378.9 + -4400.9. Which is the smallest value? (a) f (b) 3\/2 (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*v**2 - 2*v + 0*v**2 - v**2 - 3*v**4 to the form q*v**4 + y + t*v**3 + z*v**2 + c*v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-996)\/(-581))\/((-414)\/(-14973)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y + 6. Let c(b) = 10*b - 7. Give 4*c(i) + 5*t(i).\nAnswer: -5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 + 6387*w + 141966 = 0?\nAnswer: -22, 2151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5370*i**3*v**3 - 2*i**3*v*y + 1713*i**2*v**3*y - 4*v**2*y wrt i.\nAnswer: 32220*v**3 - 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*z - 66, -4*t - 5*z - 55 = 18. Let y = 14 + t. Let f(k) = -k + 4. What are the prime factors of f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 - 240*t**3 - 2828*t**2 + 21312*t + 149760 = 0 for t.\nAnswer: -39, -24, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 + m**2. Suppose 2*c + c = 24. Let z = c + -14. Let s(w) = -w**3 - 6*w**2 + 1. Let t be s(z). Determine q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1244, -2492, -3740, -4988?\n\"Answer: -1248*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2. Let c(r) = -35*r**2. Give a(c(k)).\nAnswer: -4900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 16*s**2 + 20*s + 18. Is 37 a factor of c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6200 - c?\nAnswer: -620c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254255039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 7046*l - 56. Determine a(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + 3 + (28 - 17) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 7 - (10 + -15) - 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57138990?\nAnswer: 2, 3, 5, 29, 65677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2. Let i(p) = -4*p**2 + 3*p + 10. Let r(g) = -9*g**2 + 7*g + 23. Let v(t) = -7*i(t) + 3*r(t). Calculate h(v(q)).\nAnswer: 4*q**4 - 8*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 35 + 61. Let t be v\/(-5) + 22\/(-55). Find the second derivative of -4*k**5 + 2*k - 2*k**5 - 6 + t wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 5, s: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-1225)*-5*-5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3*y**4 + 5*j**3*y**3 - 2*j**3*y**2 + 573*j**2*y**2 + 2*y**4 wrt y?\nAnswer: 144*j**3*y + 30*j**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -6*r - 20. Let z be (-42 + r + 0)\/((-4)\/6). Suppose 148*h = 151*h - z. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102729\/253)\/(-11) - ((-2466)\/207 - -12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from ylollloy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13272912 divided by -6.\nAnswer: 2212152","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 6*m + 60 - 42, 2*m + 28 = -5*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1240*k**2 - 4*k. Let p(w) = 2*w - 7. Calculate p(l(d)).\nAnswer: -2480*d**2 - 8*d - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*l + 20, 4*l = -n - 1510 + 2994 - 1563 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675633 + 149*p + 675633.\nAnswer: 149*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32653 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176635572 and 1462215?\nAnswer: 883177860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.20578\nAnswer: 5.20578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (2\/(-6) - 65\/(-60)). Solve 27\/4 + a*r**2 - 1\/4*r**3 - 27\/4*r = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2421*f. Let r(s) = s. What is r(m(t))?\nAnswer: -2421*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 13*j - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -34, -2\/55, -2?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + 110\/3. Suppose p = -0*s + 4*s. Calculate the highest common divisor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 50. Let i = -67 + 24. Let d = i - -42. Which is the nearest to 1? (a) 4 (b) l (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2*y + 7*y)*(-2 + 3 - 2) + 50*y + 55*y - 77*y to the form c + g*y and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142599.366ms in weeks?\nAnswer: 0.000235779375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 4*q - 11 + 0*q + 6*q as o*q + x and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-nine fifths of a century?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (3 - 4) - 19\/6. Which is the second biggest value? (a) 0.1 (b) 2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 55049437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-4)\/32)\/(((-18)\/6)\/12).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 30. Let h = z - -96. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 533 divided by 1.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-2)\/3 - (-6)\/8. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -88\/9, 20, -2\/13.\nAnswer: -88\/9, -3, -2\/13, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 10*o = -1. Let i(h) = h + 7. Let u be i(-4). Factor -1\/2*w + o + 1\/2*w**u - w**2.\nAnswer: (w - 2)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 13 - 13 + 0*s**2 - 3*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 25. Suppose -l = -5*i - 4*l + 185, 0 = i - 3*l - 37. Let x = i - p. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21449540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -4\/3*v**3 + 22*v - v**2 + 117\/10*v**5 + 0*v**4 - 1. What is the second derivative of l(u) wrt u?\nAnswer: 1404*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 76999 - 387605 = 0. Suppose z + 1131432 = -k. Let t = -1126036 - z. What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -41*h**2. Let t(a) be the third derivative of -a**4\/24 - 14*a**2. Give t(i(y)).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/24*4)\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090512 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*d - 3*d**2 + 5*d**2 + 20*d to the form m*d + v + n*d**2 and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14677*o - 44007. Determine s(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1 - 100\/8). Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31670296*d**4 - 10405414 wrt d?\nAnswer: 126681184*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 265, 858, 2007, 3898?\nAnswer: 6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25501 + 115?\nAnswer: -25353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 7, -611, -3, 3 in descending order.\nAnswer: 12, 7, 3, 2, -3, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5249368, 5249370, 5249372, 5249374, 5249376, 5249378?\nAnswer: 5249380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y + 2. Let w(j) = -11*j + 1. Calculate -3*i(n) + 2*w(n).\nAnswer: 17*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) -2.3 (c) -0.2 (d) 5\/157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-3)\/(36\/4)). Let p = 14 - l. Suppose -p*w = -19*w - 10. Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*r = 9, 4768*r = -v + 4763*r - 3. Let 0 - 7\/5*j**3 - j + 2\/5*j**4 - 14\/5*j**v = 0. What is j?\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/23428 and -71\/86472748?\nAnswer: 86472748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 38. Suppose 0*y = 4*y - 4*r - 20, 2*r - 35 = -t*y. Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*s - 22270 = -6650 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*l*p*u - 16*l*p - 249*p*u**2 - 5*p + u**2 - 50 wrt u.\nAnswer: -18*l*p - 498*p*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(720) + -3))**2.\nAnswer: -2592*sqrt(5) + 26244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 113031028.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 2*q**3 + 1 - 6*q**2 - 6 - 7*q. Let z(p) = -4*p**3 + 6*p**2 + 7*p + 4. Let r(d) = 3*c(d) + 4*z(d). What is the units digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 13. Let r = n - -10. Do r and -3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuvntpp. What is prob of picking 1 u, 1 t, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55295534 to the nearest integer?\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-43 - -11) + -23?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 1:18 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 21. Suppose -d + 1129 = 3*s, -9*s + 5*s + 1514 = -k*d. What are the prime factors of s?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -5*l**3\/2 - 2*l - 63. Let v(z) = -z**2 + 27*z. Calculate w(v(h)).\nAnswer: 15*h**2 - 405*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from iaiiiiiiaiiaia?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*p = -25840 + 25663, 0 = -h + p + 30 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -7, -2, 5, -5, -0.1, 2\/201?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from hhahahaaaahah.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 7*t + 1. What is z(10)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j + 9. Let c be z(-3). Let m(u) = 12*u**2 - u + 19. Let a be m(c). Suppose 1 - 4 = 3*t, 3*t - a = -4*n. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 3:05 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d**2. Let a(t) = -14*t**2. Let m(w) = -13*a(w) + 6*s(w). Let r(z) = z. Give m(r(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -121.1 times 43\nAnswer: -5207.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*y - 23 - 3, 5*q - 3*y = 113. Let w = -7 + 10. Suppose -6*c + w*c + 39 = 3*h, h - 11 = c. Calculate the remainder when q is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3)\/(476\/(-119))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -711 + -43?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74700, 149410, 224106, 298782, 373432, 448050, 522630, 597166?\nAnswer: 671652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -823.83048 - 22.\nAnswer: -845.83048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 4*j + 1096, -2*s - j = -428. Suppose 3*h + 4*b = 381, -2*h = 3*b - s - 38. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {z: 4, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from puc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 - 1 = 21*b. Is (-64 + 2)*(-8 - 45\/b) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.01834 and 0.09.\nAnswer: -0.4516506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 minus -60746927?\nAnswer: 60746924.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4493 - -4812. Let y(s) = 12*s**2 - 9*s - 1. Let v be y(2). What is the highest common factor of j and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 299 = 1941. Let k(i) = -2*i**3 + 18*i**2 - 25*i - 41. Let g be k(9). Let j = g - c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7107689 micrograms to nanograms.\nAnswer: 710.7689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzf when three letters picked without replacement from zzzzzfzffzzff?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 + 160. Let d be x(0). Let f be 4*(d\/3 - (-2)\/3). Suppose 5*c - 10 = 0, -c - 136 = -3*r + f. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369.5 + -370. Which is the closest to 1\/3? (a) -0.45 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1140*l**3 - 3911 wrt l.\nAnswer: -3420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i + 8 - 5 - 3.\nAnswer: -46*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29680 and -6168.\nAnswer: 183066240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 15. Let q be r(9). Let k be (-5 - 16)\/(q\/(-50)). Calculate the greatest common divisor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -323 - 133. Calculate the smallest common multiple of 380 and z.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1853 in -0.1, -2\/3, -16\/7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let y(k) = 2554252*k. What is y(n(z))?\nAnswer: -5108504*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-13)*26\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2. Let v(z) = 2067*z**2 - 35*z - 10. Let t(i) = -1033*i**2 + 14*i + 4. Let k(r) = 5*t(r) + 2*v(r). Determine k(x(n)).\nAnswer: -4124*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 10*w**2 - 2*w + 27. Let b(l) = -l**3 + 10*l**2 - 2*l + 24. Let d(i) = 4*b(i) - 3*c(i). What is d(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:03 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + 10*d + 2. Let k be r(5). Suppose y = f - 74, 2*f + 3*y - 160 = 2*y. What is the remainder when f is divided by 41\/k + (-9)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(272) + -2 + (2*sqrt(17)*2 - sqrt(17)))**2).\nAnswer: -56*sqrt(17) + 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2337 - -2774. What is the highest common factor of y and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 139*u**2 + 3*u - 3. Let i be r(1). Let f = 159 - i. Solve -f = g - 3*v, 3*g - 5*v + 20 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(((-144)\/(-128))\/(6\/8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31*2)\/(((-8)\/86)\/2 + 279552\/(-143104)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39553*j**2 - 13589*j**3 + 39553*j**2)*(-3 + 3 + 2*j) to h*j + q*j**4 + z + i*j**3 + a*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**7\/2520 + g**5\/30 + 2*g**2. Let c(k) be the third derivative of z(k). Let d(u) = -7 + 7 + 3*u. What is d(c(r))?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-244453.\nAnswer: -977812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 542724668 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931)*-3 + sqrt(931) + -1 + 0.\nAnswer: -14*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6324 divided by -372.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:53 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7 - 4 + 63*z**2.\nAnswer: 63*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 36 - o**3 + 38 - o**2 - 5*o - 71 to k + c*o**2 + u*o**3 + w*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 263856*c - 263852.\nAnswer: -4*(c - 65963)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-28))\/g**(-12) assuming g is positive.\nAnswer: g**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 320428399?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b - 1388 + 19616 = 0. Suppose -b = -101*t + 87*t. Calculate the lowest common multiple of 26 and t.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.85986 millilitres to litres.\nAnswer: 0.07085986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8899 - 0.1101. What is the closest to j in -2\/9, 3\/8, 0.3, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003 - -1331?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 + 20*z**2 + 19*z - 128. Determine b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1582 + 1749. Calculate the remainder when z is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*q + 140*q = 9. Suppose 6*d + 2*x = 2*d + 1062, 4*x - 1064 = -4*d. Suppose d = 4*v + l, q*v = v + l + 125. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510304 (base 7) to base 4\nAnswer: -111020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*120420\nAnswer: 240840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.3. Let m = -3.2 + 0.2. Let d = -2 + 5\/3. What is the closest to l in 0.3, d, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93 + 99. Let c be (4\/b)\/((-18)\/(-27)). Is c > -2\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Suppose -2*a + 0*a + m = 0. What is the remainder when a is divided by 2\/(-4) - 33\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*o = -4 + 349, 3*u - 345 = -2*o. Let p = 122 - 72. Let v = u - p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + g - 1433 - 596, b = -3*g + 671. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let f(m) = -13*m**2 + 10*m + 9. Let h(a) = -f(a) - 6*x(a). Is h(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259150.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7200775*h*t**3 + 2*t**3 + 2*t**2 - 274359*t + 1 with respect to h.\nAnswer: 7200775*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6045058 take away 0.05?\nAnswer: 6045057.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.21 (b) -4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2. Let u(n) = -782*n**2 - 887*n**2 - 14508*n + 14508*n. Calculate o(u(s)).\nAnswer: -13927805*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(30) + (2*sqrt(210))\/sqrt(7))\/sqrt(10).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 63*d - 2. Let z(r) = -2*r. What is g(v) + 2*z(v)?\nAnswer: 59*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-6)\/702)\/(16\/18)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -6 + 16. Let z(x) = 0*x + 4*x**u - 5*x**2 + 0*x. Let l(k) = k**2. Determine z(l(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3432\/(-2574)*(-234)\/16)\/(((-6)\/20)\/1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(100)\/sqrt(2)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Suppose 3*a = -n + 3*n + 8, 0 = -a - r*n - 2. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.136 (c) -59\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-98)\/(-21))*(-48432)\/(-7063)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -116*m + 621. Let o(i) = -372*i + 1864. Calculate -16*n(u) + 5*o(u).\nAnswer: -4*u - 616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81624576 by -132.\nAnswer: -618368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -1.1875108.\nAnswer: -4.8124892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -8 + -1 + 6 + (-16 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owu when three letters picked without replacement from {o: 1, u: 3, w: 6, x: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*l + 322*l = -35500. Calculate the greatest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 5903353?\nAnswer: -5903353.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1 - 3*h**2 + h**3 - 5*h**3 + 3 - 2*h - 5. Let v be a(-2). Suppose 2*p - v = 3*d + 4, -2*d + 58 = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 6 + 42)*(4*t**4 - 5*t**2 + 5*t**2).\nAnswer: 264*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**6))*t\/(t*t**3*t*t)*(t\/(t\/(t*(t*t**(2\/11)\/t)\/t)*t)*t)\/t*t**(2\/7)\/t)\/((t*t\/(t\/(t\/(t**(-2\/11)*t))))\/(t**(1\/6)*t))**4 assuming t is positive.\nAnswer: t**(-2678\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -6.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 535 + 1079. What are the prime factors of b?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34542 - 11022. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-132)*4*(-63 - 0). Solve -f*h + 21 = -14*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549906 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-11)\/(33\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -0.8 in ascending order.\nAnswer: -0.8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 2, n: 2, p: 3}. What is prob of sequence sp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 133. Let q = 57 - 61. Let n(s) = 2*s + 27. Let y be n(q). What is the highest common factor of z and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 39 - 530*c**2 + 520*c**2 to x*c + y + p*c**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7915, 7895, 7877, 7861?\nAnswer: 7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r*z**3 - 31*r*z + 30*z**4 - z**3 + 2*z wrt z.\nAnswer: 18*r*z + 360*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -2\/11 (c) 0 (d) -6 (e) 5 (f) 0.74 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -14*i + 19. Suppose -5*w - 13 = 4*j, -5*j + 2*w = -w + 44. Let g be t(j). Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49716*a**2 + 32914*a?\nAnswer: 99432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 3*p**2 - 2*p - 3. Give n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*91\/(-126) + 4400\/(-240)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 91*j - 2 + 35*j**3 - 36*j**3 + (-11*j**3 + 5*j**3 - 7*j**3)*(-4 + 0 + 2) - 2*j**3 - 2*j**3 + 2*j**3 to s*j**3 + f*j**2 + k*j + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1866609 kilograms?\nAnswer: 186660.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 10. Suppose -n = 3*d - 14, f*d + 5*n - 35 = n. List the prime factors of 4 + 3*1\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -220*g**2 - 11*g + 95. Let p(b) = b. What is p(j(x))?\nAnswer: -220*x**2 - 11*x + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8727 divided by 3.\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7386, -7547, -7718, -7893, -8066, -8231, -8382, -8513?\n\"Answer: o**3 - 11*o**2 - 135*o - 7241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -69*n**6\/5 - n**3 + 9*n**2\/2 - 3*n - 6. What is the second derivative of s(y) wrt y?\nAnswer: -4968*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -44*p**4 + 94*p**4 + 4*p**2 - 44*p**4. Let j(c) = 29*c**4 + 20*c**2. Let s(q) = 6*j(q) - 33*k(q). What is the third derivative of s(a) wrt a?\nAnswer: -576*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 at least as big as -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) 0.2 (c) -0.5 (d) 60.94 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4792, -5113, -5648, -6397, -7360?\nAnswer: -8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3003 divided by 1001.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*l + 8, 5*l - 16 = -663*w + 667*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (10 - 7) + 1 - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 366285908238.00043 + -366284312400. Let i = m + -1595783. Let p = 55 - i. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012446 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2351 - 12233 = 549*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -1, -2, -3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let d = 3 - o. Suppose b = d*b - 20. What is the remainder when 10 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 2*m - 5, 5*m = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 9*a**2 - 6 + 2*a**2 + 5*a**2 + 3*a**2 - 4. Let v(l) = l**2 - 9. Let h(m) = -3*c(m) + 4*v(m). Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3896347*t + 1695622?\nAnswer: -3896347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875878569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b - 120. Let q = 1799\/30 + b. Suppose -15*u = -12*u - 3. Is q at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 + o - 3*o**2 + o**2 - o**2. Let u be t(-2). Solve -5*j = -0*l - 2*l - 23, -j = u*l + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 157*i + 804. Calculate the remainder when j(-5) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1950.8 + 23\nAnswer: -1927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 2. Let h be j(5). Let o = h - 4. Suppose -2*u + 0 = 3*k - 10, 5*k - 19 = -u. Calculate the greatest common factor of k and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (323\/(-95))\/((-1)\/965) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 340?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.8456\nAnswer: -3.3824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzmzxbsbzmzmzjmsxmxm. What is prob of sequence zms?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**2\/2 + 19. Let i(c) be the second derivative of 2*c**3\/3 - 3*c. Give i(r(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/5 - 1564*m**2\/5 + 3116*m\/5 - 1556\/5.\nAnswer: 4*(m - 389)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -12*y + 8*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 789486*x**3 + 151*x - 5860 wrt x?\nAnswer: 4736916*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zza. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/14*4\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -3*q + 1\/6*q**3 - 32*q**2 + 0 - 55\/24*q**4 - 43\/20*q**5. Find the second derivative of k(c) wrt c.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -8. What is the second derivative of 2*s + 9*s - 7*s**3 - m*s wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1251139 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/q**(1\/3))*q**(2\/53)*q*((q\/(q**(8\/5)\/q*q))\/q)\/(q\/(q**24\/q)) assuming q is positive.\nAnswer: q**(18103\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30 from 462841.\nAnswer: 462871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44746 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 31*q**2 - 2*q + 77. Calculate the least common multiple of p(31) and (-1)\/(-2) - (-10)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5053 is divided by 267.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4050 and 153608550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2224*n - 3758. Let k be h(-8). What is k rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -3)\/(-3)*-89. Let k = d - -79. Let v(p) = -3*p - 10. Is 2 a factor of v(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 6*s**7\/7 - 29*s**6\/6 - 613*s**3\/3 + 406. Find the third derivative of r(d) wrt d.\nAnswer: 720*d**3 - 1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 34*j - 308 = 7*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -986*p**5\/5 + 3*p**4\/4 + 1212*p**2 + 2428. Find the second derivative of g(x) wrt x.\nAnswer: -11832*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*c + 2 = 0, 10*m + 3*c - 16 = -43 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - -7) - 11 - (-3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -23*c. What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 38. Let d(g) = -30*g - 4. Let o(z) be the second derivative of -z**3 - z**2\/2 + 17*z. What is r*o(v) + 3*d(v)?\nAnswer: -6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -1620897.095 rounded to the nearest 10000?\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 954, -445, -1844?\n\"Answer: -1399*q + 2353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/(-7) + 0 + -6. Suppose -3*c + 39 - 39 = z. Put 38, -2, 1, c in descending order.\nAnswer: 38, 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 36544*o + 166932992 = 0. What is o?\nAnswer: -9136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3130437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -3 in ascending order.\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 31, 95, 207, 379, 623, 951?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -4*p, -3*p + 9*t - 4*t = -29. Suppose 1002 = 4*f + p*n, 5*n - 679 = -3*f + 67. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqi when three letters picked without replacement from {q: 3, r: 2, w: 8, i: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 414 - 115?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/25)\/(3\/160*2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/7 + 2365*m**4\/7 + 265444*m**3\/7 + 10318976*m**2\/7 + 143002208*m\/7 + 246814256\/7 = 0. Calculate m.\nAnswer: -2249, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 2785 = 5*o, -554 = -f + 2*o. Suppose 0 = 2*n + 3*v + f, 2*n - 64 = -5*v - 624. Let j = -130 - n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/13, 1, -2\/9, 0.33 in decreasing order.\nAnswer: 2, 1, 0.33, 2\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b534 (base 12) to base 4.\nAnswer: 32330320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (81\/225)\/(66\/220)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 101*s**2 - 292*s + 197. Determine f(-98).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-1)\/(-1)))\/(16\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019280417 to seven decimal places.\nAnswer: -0.001928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 780*i**3*j**3*u + 9*i**3*j*u - i**2*j**3*u - 5*i**2*j**3 - 45*i*j*u - 14*j**3*u wrt i?\nAnswer: 4680*j**3*u + 54*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1873 in 2\/11, 3\/2, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 10. Let g be j(-33). Suppose 0 = -8*p + g - 92. Calculate the smallest common multiple of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3 = -2*s, 1480 = -12*s + 2*k + 1490 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Let h be 2*(-5 + 4)*1. Put -4\/3, h, g in descending order.\nAnswer: -4\/3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6 + 1718*d**3 + 1387*d**3 + 3197*d**3 + 126*d**2 + 1447*d**3 wrt d?\nAnswer: 46494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z + 279 = 867 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64, -10, 2, -2.\nAnswer: -64, -10, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + 21 - 30\/(-2))*(-604)\/453?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, u: 2, t: 3, e: 4, n: 2}. What is prob of sequence ect?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*a + a + 40, 3*i + a - 4 = 0. Find the third derivative of -2*u**2 + 2*u**3 - 2*u**i + 4*u**2 + 2*u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -4)*12\/(-16). Let p be ((-16)\/(-4) - -1) + -4. Sort -4, -1, b, p.\nAnswer: -4, -1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-10) - ((-121443)\/15 + 2 + -8)?\nAnswer: 3, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 38*t**5\/3 - 5*t**2 - 24*t. Let z(w) = -3*w. What is f(z(h))?\nAnswer: 6840*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**3 - 7*s**2 - 4*s - 4. Let c be 4\/(-6)*(-36)\/8. Let i(r) = -2*r**2 + r + 2 + 3*r**2 + r**2 - 3*r**c - 1. What is 4*f(k) + 14*i(k)?\nAnswer: -2*k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 40 = 16. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)\/(o\/o**16))\/(o**(-1\/2)*o**(2\/13)) assuming o is positive.\nAnswer: o**(87\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3480)\/(-195) - (-2)\/13. Suppose -8*g - 7*g = -v*g. Do g and -5\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 7:01 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2 + k**2 - 6*k + 5 + 2*k + k + k**3. Let r be z(-3). Which is greater: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.13 - -0.13. Let j = u + 20. Sort j, 1.1, -3 in decreasing order.\nAnswer: 1.1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y*y)**(-3)\/(y**(-1\/2)*y\/y**(1\/8)*y))\/((y**(2\/9)*y**(-1\/2)*y*y*y)\/((((y**(-1)\/y)\/y)\/y)\/y*y)**27) assuming y is positive.\nAnswer: y**(-8503\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255227?\nAnswer: 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4)**(-25))**34 assuming k is positive.\nAnswer: k**(-3400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253532385*d**3 - d**2 - 3402057*d + 24 wrt d.\nAnswer: -1521194310*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6389.06 and -0.5.\nAnswer: 3194.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 21*g - 9 = 0. Let k be g\/(-12) + 9\/4. Let j = -0.046 + 5.046. Put -1, j, k, 4 in descending order.\nAnswer: j, 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 220 - 200 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - -180. What are the prime factors of (g\/2)\/(-4 + 76\/16)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 6. Suppose -j*q + 3*q = 0. What is the closest to -1\/2 in 1\/4, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 + 6?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*b + 2)*(0*b - b - b) - 107*b**2 - 808*b + 38012*b + 206*b**2 - 97*b**2 to h + m*b + s*b**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*p**2*v**2 + 387228*b*p*v**2 - 5*b*p - 2*p**2*v**2 - 11775*p**2 + p - 8*v wrt v?\nAnswer: 4*b*p**2 + 774456*b*p - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133182.1 rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -60994807.\nAnswer: 17\/60994807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 65530*m. Let j(a) = 63*a**2. Give x(j(u)).\nAnswer: 4128390*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 16?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -28361?\nAnswer: -28358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/13 - 1232*f**4\/13 - 410448*f**3\/13 - 15473728*f**2\/13 - 139689440*f\/13 + 344577024\/13 = 0. What is f?\nAnswer: -206, -22, 2, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 13*a**2. Let u(q) = -2*q - 328. Calculate u(n(h)).\nAnswer: -26*h**2 - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 25 = 0. Let a(p) = p**2 + 12*p - 11. Let s be a(-13). Let j = s + d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/14 in 3, 199.3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 5*a**5\/12 - 65*a**3\/3 + 204*a**2. Differentiate v(x) wrt x.\nAnswer: 50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-17)\/(c*c*c\/c**(-12)))\/((c*c\/(c\/(c**(5\/6)\/c))*c)\/c*(c\/(c\/c**(-2\/17)))\/c*c))**(-8\/5) assuming c is positive.\nAnswer: c**(13348\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53848704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 29*o - 57. Let q be l(-36). Let f = 192 - q. Let m(j) be the third derivative of j**5\/60 + 5*j**4\/24 + 2*j**3\/3 + j**2. What is m(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*j - 2*j - 115, 3*j - 15 = 0. Sort w, 1, -29 in descending order.\nAnswer: 1, w, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -9*p - 37 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86036472 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136750200.\nAnswer: 2, 3, 5, 59, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 14500015 = q, 2*q + 2*a = 4*a + 28999994. What is q rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o. Suppose -3*t = -3*c + 45, t + o*t + 59 = 5*c. Let g(q) = 264*q**2 + 7*q - 21. Let n be g(c). Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**1)\/v**(2\/5))\/((v\/(v*v**2*v)*v)\/(v**(4\/3)*v)))**32 assuming v is positive.\nAnswer: v**(1888\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 = 3*d - s - 256, -5*d - 21 = -4*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 7*f - 4. Let p be l(-12). Let c = p + 194\/3. Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*l + 166 = -134, 5*t = -4*l + 732. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0665726mm in nanometers?\nAnswer: 66572.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbbbbobbibiobob. What is prob of picking 2 b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -110, -250, -450?\n\"Answer: -30*k**2 + 10*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -69. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5 + 17*u**4 + u - 190 wrt u.\nAnswer: 80*u**3 + 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1153*u - 8. Let l(d) = -6900*d + 50. Determine 8*l(v) + 50*z(v).\nAnswer: 2450*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*g**2 + 24 - 5 + 501*g**2 - 9 - 12.\nAnswer: 7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*n - 6 = -2*x, -n - 1 = 0. Put -1, x, -9, 3 in decreasing order.\nAnswer: 3, x, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2459*m**2 + 833*m**2 + 800*m**2 + 824*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 590256*y**4 - 155*y**3 + 232981370*y?\nAnswer: 7083072*y**2 - 930*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -1\/6, -2\/3.\nAnswer: -2\/3, -1\/6, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -41763237 to the nearest 100000.\nAnswer: -41800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -543\/1577 + -32934998\/11039. Let h = c - -3972233\/1330. Let u = -139\/19 - h. Calculate the common denominator of u and -17\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2)\/(0 + -2). Suppose l*z = -3*z + 25. Let -2*y**3 - 4*y**3 + 2*y**2 - 4*y**z - y + 3*y**5 + 4*y**4 + 2*y**2 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:42 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.08 (c) 2\/2765 (d) -2\/21 (e) 1\/6 (f) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287\/40 - -14\/5. Let k be 1*-1 - 150\/75. Are m and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((7764\/(-167573))\/((-16)\/14))?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1320 + -996. Calculate the greatest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) - ((-3)\/(-1) - 43). Let t = k - 39. What is the third derivative of -a**3 - 12 - 17 + 19*a**t + 29 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + g**2 - g + 8. Let o be n(0). Let z = -4 + o. Suppose 0 = -5*p + 24 - 9. Solve -k + p - z = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 1404*v + 2820 = 0 for v.\nAnswer: -470, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a93526 + 7?\nAnswer: -4a9351c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-3*sqrt(88)*1)\/(sqrt(48)\/(-1*sqrt(864))))**2.\nAnswer: 128304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 218*j**2 + 1960*j + 225. Give g(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -236*d**6 - 14102*d**4 + 62*d**2 + 746744 wrt d.\nAnswer: -28320*d**3 - 338448*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -233, -472, -713, -956, -1201, -1448, -1697?\n\"Answer: -k**2 - 236*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15855?\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/95 and -19\/22.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/25 + 22\/5. Suppose -4*h = 2*o - 72, 5*o - p*h - 148 - 107 = 0. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 15*z**2 + 29*z + 8. Let t be 25\/6*2\/10 - (-98)\/12. What is w(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l + 31*l - 158*l = 364 - 526 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from jubjguj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 703 = -67*p - 358 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -36. Solve w = n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 15) in base 6?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63270 (base 9) to base 13.\nAnswer: -16029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6504 + 4627 - 48874 = -2537*f + 22822 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302*q**3\/3 + 5387074*q**2\/9 - 3964*q\/3.\nAnswer: 2*q*(q + 5946)*(453*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.62 + -0.38. Let w = 886.03 + -886. What is the fourth smallest value in 1, w, v, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2. Let s(l) = 867*l**2 - l. Calculate s(h(i)).\nAnswer: 7803*i**4 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 + 10 = -3*k, q = 5*k - 11. Let s be (-2)\/2 + (-3 - 38). Calculate the lowest common multiple of (-1)\/2 - s\/q and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1094*w**2 - 133082*w + 594828.\nAnswer: 2*(w - 117)*(547*w - 2542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 36*p - 1. Let k be c(-1). Let y = k + 22. Let v = y - -25. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/18)\/j)**(-14)\/((j*j**(3\/5)*j)\/j)**(14\/9))**(-26) assuming j is positive.\nAnswer: j**(-14378\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 11\/735 (b) -1\/3 (c) 9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*j - 98. Let u = j - 2. Suppose 10*y + 25 = 5*y, 4*k - 4*y - 20 = 0. Solve k = -5*t + u + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69, -270, -609, -1086, -1701?\n\"Answer: -69*y**2 + 6*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 5*v**2 - 21*v - 10. What is the units digit of h(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20551?\nAnswer: 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -319431 and -319469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4499185*z**4 + 7360*z**2 + z + 57 wrt z.\nAnswer: -107980440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 4. Let i = -1099 + 1102. Let o(j) = 1. Suppose 0*f = f + 4*z - 7, 2*f = z - 4. Give f*y(c) + i*o(c).\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-120)\/(-28) + (-4)\/14. What is the derivative of 5*f**c + 0 + 6 + f**4 wrt f?\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(8) - (sqrt(800) + sqrt(800)*1))\/(sqrt(32)\/sqrt(8)*-3) + 0)**2.\nAnswer: 722\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-9)\/(-84))\/(4\/(-4)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137798?\nAnswer: 2, 68899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2 + c + 1)*(-5 + 3 - 1)*(0 + 2 + 1).\nAnswer: 18*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 154\/182 + ((-4)\/(-26) - 0). What is the tens digit of (h + 137)*(-38)\/(-57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 869353 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61780, -492005, -1659750, -3933775, -7682840?\nAnswer: -13275705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -68. Let c(h) be the third derivative of 0 + 0*h**5 + 3*h**2 + 0*h + 0*h**4 + 1\/3*h**n - 1\/24*h**6. What is the derivative of c(t) wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.062 from 0.100161504678.\nAnswer: 0.038161504678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, -4, 12, 0.236982 in increasing order.\nAnswer: -4, 0.236982, 9\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2960 and 2825616.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10443 (base 7) to base 4.\nAnswer: -221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**2 + 3*q**2 - 1 + 13*q**2 - 3*q**2 to v*q + k + w*q**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.481 and -85?\nAnswer: 210.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 8*k - 5*k)*(-k**2 + k**2 + k**3) - 21*k**4 + 5*k**4 - 2*k + 10*k**4 as z*k + l*k**3 + d + t*k**2 + r*k**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 2.2. Let s = i - -1.4. What is the closest to -0.1 in 3, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12541\/133 + -1357\/19. Let a = m + 166. Factor 0 - a*y**2 + 2\/7*y.\nAnswer: -2*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 582, -715, -2\/7 in ascending order.\nAnswer: -715, -2\/7, 0.4, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5018.3053 + -5018. Round r to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-111)\/(-148))\/(((-21)\/(-16))\/(-1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-26)*4 + (-1 - -1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -9 + (10 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -18*m + 17*m. Let u = -99 + m. Solve -o - u = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3980566 and -19\/2582810.\nAnswer: 338348110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89016509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-6) - 9\/27. Solve 0 = -o - 5 + h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 99*m**2 - 5*m + 1. Let h be q(-4). Suppose -j + 3*j - c - h = 0, 3*j - 2406 = c. Is 2\/(-2 - 0) - (-3 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 784?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -74. What is the second derivative of -t*q + 10*q**4 - 4 - q**3 + 2*q**3 - q + 22*q wrt q?\nAnswer: 120*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150063 divided by 4.\nAnswer: 150063\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 2540464*t + 15242820.\nAnswer: -(t - 2540470)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434833920 to the nearest integer?\nAnswer: 20853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015489145 to the power of 1\/2, to the nearest integer?\nAnswer: 31867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 5. Let p(n) = 5*n + 52. What is 3*p(a) + 6*q(a)?\nAnswer: 3*a + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 293 = -5*t - 4*w, -3*t = -4*w + 163. Let q be (-2)\/10 + t\/15. Which is the closest to -0.1? (a) -1 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*j**2 - 79*j - 1.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g - 556*g - 307*g - 4949 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*a = 8, -2*x - 4 = 3*x - a. Let i = -4 + x. Let f be (-2)\/5 + i\/(-10). Solve -3*t - b + f*b = -5, -2*b = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(-5*sqrt(54)\/sqrt(2) + -4 + sqrt(972)))**2*-2.\nAnswer: -77400 + 43200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*f + 5*z, f = -2*z + 18 + 4. Let p = 12 + -4. Suppose 4 = 2*q - p. What is the least common multiple of f and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134822786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 1)*(-35)\/21*-5. What is the units digit of 516\/10 - (-20)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - ((-3)\/6)\/(4\/8). Solve 5*c - 2*t - 11 = 0, -n*t + 8 = 4*c - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 30392354?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 90*g + 1191. What is i(-18)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*k**2*v**3 + 139*b**3*k*v**3 + 9*b**3*k*v - 4*b**2*v**2 + 3*b**2*v + 2*b*k**2 wrt v?\nAnswer: -18*b**3*k**2 + 834*b**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/199725372 and 173\/54470556.\nAnswer: 599176116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w - 4*j + 1, 4*j - 64 = -4*w. What is the smallest common multiple of w and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 5*q + 7. Let u = -19 + 15. Calculate the remainder when x(-5) is divided by (10\/u - -1)*50\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60.346 - 60. Let m = a - 0.346066. Round m to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 11498, 3, 5, 7 in descending order.\nAnswer: 11498, 92, 7, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/5 - 46*d\/5 - 47\/5 = 0. What is d?\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -229*g**3 + 14*g**2 + 5*g + 30. Let w(v) = -686*v**3 + 41*v**2 + 14*v + 85. Give 17*n(z) - 6*w(z).\nAnswer: 223*z**3 - 8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 11) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*j + 202*j - 4*n = -201*j - 28, 3*n = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 276*o + 837. Let a be k(-3). Calculate the greatest common factor of 4167 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -26. Suppose -5*r = -3*h + 2 + a, -4*h - 4*r = 16. Let g(b) = -b**2 - b - 1. Let t be g(h). Which is smaller: t or 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38692249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*c - 290*c = 3450 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10075 - 9980. What is the closest to -0.1 in w, -0.04, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/210)\/(2920\/(-224) - -13).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.4, 0.1, 3, 5, -6.4 in increasing order.\nAnswer: -6.4, -0.4, -0.3, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1500*j**3*k - 16*j**2*k - 2*j*k - 39612*k wrt j.\nAnswer: 9000*j*k - 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1070964 to the nearest ten thousand.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 1278.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-90))\/(-1*2\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 272867268 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*j**3 + 6*j**2 - 6127*j + 2738471 wrt j.\nAnswer: -33*j**2 + 12*j - 6127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680*d + 1527 - 1473 - 4134 = 0. Let v(y) = -2*y**3 + 3*y**2 + 4*y - 6. Let f(p) = p**3 - p**2 - p + 1. What is d*f(h) - v(h)?\nAnswer: -4*h**3 + 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + -1 + (-1 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*k**2 - 115*k**2 - 349*k**2 - 275*k**2.\nAnswer: -428*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/150 and -93\/20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 105533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 7*r - 28. Let m be x(-3). What is the tens digit of (-13 - 3)*m\/6*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 17a?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.8 - -1.8. Let s = r - -150. Let o = s - 128.46. What is o rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/439691 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303615650 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -733727 - 1?\nAnswer: -733728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1370, -5293, -9218, -13145, -17074?\n\"Answer: -s**2 - 3920*s + 2551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 42*j**3 + 63*j**2 + 63*j + 63. Let q(d) = -d**3 - d**2 - d - 1. Let f(o) = -302*o + 300. Let r be f(1). Determine r*s(b) - 126*q(b).\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 2. Let k(x) = -2*x - 2 - 5*x + 5*x - 3. What is -4*k(c) - 9*r(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18977428 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1574820969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 0*b + 6. Which is greater: b or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 20 = -12*m, -4*m = -5*p + 2601. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8.4. Let q = h - 6. Suppose 8 = 3*n - 4. What is the closest to 1\/2 in n, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3631991*p**3 + 2*p**2 + 4131*p - 26 wrt p?\nAnswer: 21791946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/765)\/(1\/119)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 3. Let m be b(5). Let h(o) = -o - 5. Let x be h(m). Suppose 15 - 75 = -x*u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190981 is divided by 1078?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/(-36))\/4)\/((-120)\/144)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 7*v**2 - 10*v + 8. Let y(h) = -h**3 - h**2 - h - 1. Let f(r) = w(r) - y(r). Let g be f(6). Calculate the highest common factor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 164\/(-20))*((-5)\/(-4))\/(-1). Which is the fifth smallest value? (a) 1 (b) q (c) 1\/22 (d) 2\/15 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 64, 155, 292, 481, 728, 1039?\n\"Answer: g**3 + 14*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**4 + 84*i + 253?\nAnswer: 8*i**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 + -2.07896185022.\nAnswer: -175.07896185022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44119237987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -11, -2\/67, 1, -0.5 in increasing order.\nAnswer: -11, -0.5, -2\/67, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 + 8*f - 8. Let x(w) = -w + 1. Let v(h) = -2*i(h) - 18*x(h). Factor v(k).\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15188)\/80)\/((-5577)\/(-16)). Let h = -2\/2535 + d. Let k = -0.8 - -0.5. What is the third smallest value in 3, h, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3952.034596 and 3.8.\nAnswer: 3955.834596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4\/5 - 15\/50?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117126 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -2 (b) 1 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 49*p**2 + 48*p - 117. What is i(48)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 8*w**2 - 14*w + 5. Let d be g(10). Is d\/2*42\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w + 2093359 - 2093359 + 0*w. Let h = -13 - -23. Let d(i) = -2*i. Calculate h*d(z) + 3*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -683, -885?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 - ((-19)\/(-21) + (-9)\/12). What is the fifth biggest value in 5, 0.08, 1\/26, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175018 and 2372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.09. Let m = -4 - a. What is the second biggest value in -3, m, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 20 - 6. Let v = z + -12. Let m = -0.03 + 0.23. What is the third smallest value in m, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50778 divided by -5642\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*n = 551*n - 132 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 13 + 6 + (2 - 3 - 1)*(2 + 0 + 0) + 2 + 1 - 4 - 2 - 2 + 2)*(32 - 83 - 97)*(-o + 3*o - 3*o) to r + q*o and give q.\nAnswer: -3404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1954082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 731 + 2?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z + 8 = 0. Let t = 5 - 3. Calculate the smallest common multiple of (21\/z)\/(6\/(-16)) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396 and 2280?\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -12 + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/21 - 7016*b\/21 + 16265176\/21 = 0. What is b?\nAnswer: -5102, 1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*c - 238*c**3 - 226*c**3 + 59*c + 131*c**3 - 125*c.\nAnswer: -333*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 31*q**3 - 2*q**2 + q + 1. What is r(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 3*c + 63, -4*c + 485 = 138*g - 158*g + 65 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10519332 is divided by 380?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 4*r - 1. Let v be b(-7). Find the common denominator of -17\/9 and (-12)\/(-15)*105\/v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -525493\/342, 3?\nAnswer: -525493\/342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2063406344 and 1.\nAnswer: 2063406345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20475, 81814, 184023, 327102, 511051?\n\"Answer: 20435*s**2 + 34*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, j: 3}. What is prob of sequence jj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 47*u = 196 + 84 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120212 - -20?\nAnswer: 121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2. Let l(i) be the first derivative of 6*i**2 + 80*i - 3056. What is l(p(z))?\nAnswer: 36*z**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214047 is divided by 1648?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, l: 1, m: 1, r: 1}. Give prob of picking 1 r, 1 x, and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*w**2 - 53*w - 62*w**2 + 834*w + 81*w - 62*w**2 as h*w + d*w**2 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3)*((n**(-2\/7)\/n)\/n)\/n)\/((n**(-3\/8)\/n*n)\/(n\/(n*n**8*n*n)*n)) assuming n is positive.\nAnswer: n**(-779\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 17044575?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-9 - 12) - (-18 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*i + i. Suppose 0 = b - 0 - i. Let o = b - 5. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (0 - -1) + -2 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2915667.83406\nAnswer: -2915667.83406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 - 8. Let f be r(-6). What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 45. Let o = f - 8. Suppose 4*t + 0*t + b - 17 = 0, 2*b + 2 = 4*t. Calculate the remainder when t is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -817, -4232, -13573, -31822, -61961, -106972?\nAnswer: -169837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*r - 354*r = 138*r - 20*r + 28035 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13788*a - 542*a + 1730*a + 920*a.\nAnswer: 15896*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357803.6 hours to microseconds.\nAnswer: 1288092960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2904)\/(-847)*(-12 - 1397\/(-110))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, e: 3, p: 1, l: 2, n: 4}. What is prob of sequence enp?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -37524 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -221?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.061537 in 2\/7, 1, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13377299*z**4 - 175*z**2 + 24*z - 218 wrt z?\nAnswer: 321055176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/(-28)*8\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 - 5. Let x(u) = 2*u**3 + 7*u**2 + 11. Determine -7*p(v) - 3*x(v).\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4082, -22348, -71932, -168494, -327694?\nAnswer: -565192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Let w be -2*(-1)\/(-2) + -125. Let l be 0 + -1 - (w\/8)\/9. What is the nearest to -2\/9 in l, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10457076.\nAnswer: 2, 3, 7, 124489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.225 - 5.225. What is the smallest value in 13, j, -0.4, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*u + 31*u + 402876 = 0. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25444784?\nAnswer: 2, 17, 139, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**(-1\/6)))*u**(2\/5))\/(u**1)**43*((u**(6\/7)*u)\/u*u*(u\/u**(-1\/4))\/u)**(8\/7) assuming u is positive.\nAnswer: u**(-57857\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, h: 1, w: 3, f: 1, g: 2, z: 1}. Give prob of sequence fgwh.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18950 - 11071. Suppose -3*c - 2*h = -m, 5*c - 7*c + 4*h = -5274. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22+5374\nAnswer: 5373.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 19 = -4*g, -5*g - 4 = -3*g + 4*c. Suppose 4*m = 13 - 69. Let h be (8\/m)\/(4\/(-14)). Put -3, g, h in ascending order.\nAnswer: g, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 129, -5.\nAnswer: -5, 6, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25 = -3*r + 3*w, -4*r - 4*w + 36 = 0. Suppose -r = y + 3*y + 3*m, 4*m + 20 = 0. Let d = 46 + -24. What is the greatest common factor of d and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*w = w + 1, 3*m + w + 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -928*a**6 - 15*a**5 - 2*a**2 + 29774?\nAnswer: -111360*a**3 - 900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + 347. Let f = 519 - n. Calculate the smallest common multiple of 123 and f.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9863496 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 828.9, 1, 17 in decreasing order.\nAnswer: 828.9, 17, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let p(h) = 4*h - 4. Let g(m) = 4*m - 5. Let i(w) = 4*g(w) - 5*p(w). Give -i(a) - 5*k(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/22 and 69\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*h - 1019208 = 30*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*m + 23*m - 12*m - 25*m**2 - 8*m.\nAnswer: -5*m*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*q + 2*r + 547, -r - 1049 = -4*q. Calculate the remainder when q is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 1 - 1)*(1 - 5 - 3)*(236*z - 241*z + 0 - 5).\nAnswer: 35*z**2 + 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 685885 = 4*j, 3*q + 152*j - 411531 = 149*j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -10111?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 406.2018 and -0.02.\nAnswer: -8.124036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 7:31 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*c - 10, -l - 177*c = -179*c + 2. Find p, given that 0 - p + 1\/2*p**l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**8\/10080 + m**5\/30 + 5*m**2. Let h(x) be the third derivative of s(x). Solve h(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) - 5*2*sqrt(2000))*-5)\/((2*sqrt(2450))\/sqrt(5)*2).\nAnswer: 225*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 188, 432, 774, 1214, 1752, 2388?\n\"Answer: 49*y**2 - y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-20 - 23) + 64 + -66.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 14. Suppose -8*u + m = -5*u - 31, s*u - 33 = 3*m. Let d(j) = j**3 - 13*j**2 + 12*j - 7. What is d(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-540)\/(-144)*40\/(-1745). Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 + 16 = 0. Which is the nearest to 0? (a) -1\/9 (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**6 - 83*z**5 + 4*z**3 - z**2 + 819?\nAnswer: 360*z**3 - 4980*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251235 is divided by 1013?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 5, 0.03, -35?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/4 + 44673*g**3\/2 - 1365150*g**2 + 9982911*g\/2 + 25515765\/4 = 0.\nAnswer: -29843, -1, 5, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8.5. Let o = 3 - z. Which is the second smallest value? (a) 2 (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2 + 47590*p + 190328 = 0.\nAnswer: -23791, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 - 23*i + 205)*(-2 + 6 - 2)*(-26*i - 17*i + 49*i).\nAnswer: -276*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 + 30*h - 33. What is f(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/133 + 10\/35. What is the nearest to 2 in 2, -0.2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Let u(r) = -2*r**3 - 23*r**2 + 11*r - 9. Let w be u(-12). Suppose -5*n + 5*s - 14 = -2*n, 0 = 3*n + s - 10. Sort n, w, x.\nAnswer: n, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 40. Solve 17 = b*p - 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258 + 262 + (1 - 20) + -14\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-154))\/(54\/99).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t + 2928. List the prime factors of s(0).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*x - x - 3*x to the form a + m*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150220*p**2 - 2 + 151346*p**2 + 2 to q + u*p + h*p**2 and give h.\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180)*1)**2 - (sqrt(45) + -1)*1)*2.\nAnswer: -6*sqrt(5) + 1442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 10715?\nAnswer: 75005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176723661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-11 + -21 - (-30 + 3))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2. Let t(d) be the third derivative of -d**4\/12 - 2*d**2. Calculate t(l(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/7, 2, 1, -725?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 724052 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hnhfnbthhnhhb.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let q(z) = -3*z**2 - a + 2. Let y(r) = -r**3 + 7*r**2 - 11*r + 9. Let j be y(5). Let o(i) = i**2. Determine j*q(k) + 15*o(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-6)*1544\/12. Let j = i + -187. Let z(u) = -2*u**2 + 8*u + 5. What is z(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178403\/5352 + -100\/3. Is 0 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46054 is divided by 329.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-36)\/8)\/(-1))\/(-12). Let m = -0.088 + -0.212. Let y be ((-2)\/5)\/(8\/(-20)). Sort y, 1\/7, m, c.\nAnswer: c, m, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2969 = 5*s + 3*t, -t = 5*s - 2967. Let v = s - 379. Let z = 400 - v. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -29*d - 25. What is the third derivative of 21*q**3 - 5*q**4 + d*q - 2*q**2 - 43*q**3 + 0*q**2 + 16*q**3 + 32*q wrt q?\nAnswer: -120*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -26. Let k = -11 - y. Let r = 0.3 - 0.8. Which is the second smallest value? (a) -4 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -155, -201, -277, -389, -543, -745, -1001?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r + 206. Calculate the remainder when 93 is divided by d(26).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27591416.\nAnswer: 2, 277, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - -3. Let m = -1438 + 1384.68. Let f = z + m. Round f to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*t. What is the remainder when 50 is divided by (0 - t - -1) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 36587 = 22684. List the prime factors of n.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 18*w**2 - w - 1. Let y(m) = -33*m**2 - 557*m + 2. Calculate -2*g(i) - y(i).\nAnswer: -3*i**2 + 559*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50996*g**2*w**2 + 246865*g**2*w wrt w?\nAnswer: 101992*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 740*g - 1056*g - 3*g**2 - 1413 - 1100*g.\nAnswer: -3*(g + 1)*(g + 471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g**2 + g + (0*g**2 + 0*g**2 + g**2)*(-3 + 2 + 5))*(4*g - g - g) as z*g**2 + b*g + r*g**3 + n and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 + -237. Suppose -3*p - 12 = y*o - 4*o, 5*o = 2*p + 8. Solve 2*j - 6 + 0 = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.4 - 1.4. Let r = 9.1 + -2.1. Let k = r - d. Which is the nearest to 0? (a) 1\/5 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 13*w - 10. Let i be 10\/55 + 390\/33. Let t be h(i). Factor -4\/3*o + o**t + 1\/3.\nAnswer: (o - 1)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -12*n**3\/7 + 159*n**2 + 3942*n\/7 - 19008\/7 = 0.\nAnswer: -6, 11\/4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39095894 to the power of 1\/2, to the nearest integer?\nAnswer: 6253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 37*f + 5282. Let b be w(-10). What is the highest common factor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72*(-2813)\/2328 - 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 488 + -482. Let p = 21 + -45\/2. What is the second biggest value in 0, p, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2998*l - 3000*l - 8 = 0, f + 4*l = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/22*428\/963.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 + 1219\/5. Let w = -226\/3 + 76. Which is the third biggest value? (a) o (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/30 and 37\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 3. Let o be w(-2). What is the third derivative of -7*z**2 - o*z**2 + 3*z**2 - 2*z**4 + 3*z**2 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25372221, 25372223, 25372225, 25372227, 25372229, 25372231?\nAnswer: 25372233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(170\/15*-3)*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200121112 (base 3) to base 2.\nAnswer: -11010100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1. Let x(p) = -p - 13. Let r(l) = -6*j(l) - x(l). Let u be r(-3). What is the derivative of -v**3 + 4*v**3 - 2 - 5*v**3 + u*v**3 wrt v?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -116?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4100240 - 0?\nAnswer: 4100240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(245)*2))**2.\nAnswer: 11\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*s**3 - 398*s - 169*s**3 - 263*s as b*s**2 + v + j*s**3 + w*s and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126113)\/5668)\/((6\/(-2))\/12)*-1?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let y(a) = 55*a**2 + a + 1. Let s be y(v). Let x = s + -2. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 34708.\nAnswer: -5553.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 2*x + 3. Let v(i) = -6*i**3 + 5*i + 5. Let p(m) = 5*q(m) - 2*v(m). Differentiate p(b) with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 33 = -2*y - 6, -4*y + u = -59. Solve -6*t = -t + y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u**4 + 3*u**4 + (0*u - 2*u + 3*u)*(2*u**3 - u**3 + u**3) + (0*u + u**2 + 0*u)*(2*u**2 + u**2 - 5*u**2).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:08 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let t(m) = -14*m**2 - 38. Determine y(t(r)).\nAnswer: 14*r**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -4 - (47 + -31)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 42*u + 40*u**2 - 78*u + 31*u**2 + 36*u.\nAnswer: -2*u**3 + 71*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 4a501c?\nAnswer: -4a5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 + 678*a**2 - 20520*a = 0?\nAnswer: 0, 36, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxxixe. Give prob of sequence exe.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 5*h + 21. Let c(b) = 3*b - 10. Let y(w) = -9*c(w) - 4*m(w). Let k = -420 - -426. Let u(v) = -11*v**3 + 20*v - 17. Determine k*u(i) + 17*y(i).\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) -2 (c) 3 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 - 4417*o**5 - 4*o**4 - 1802660*o**2.\nAnswer: -240*o**3 - 265020*o**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 5*r**2 + 1 + 2*r**3 + 2*r**4 - 3*r**3 as z*r**4 + k*r**2 + t*r + p + w*r**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -70. Let z be 14999\/(-42) + (-40)\/n + 1. Let k = 374 + z. Calculate the common denominator of k and -121\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 26 = -a. Let d(x) = -x**3 - 8*x**2 - 6*x + 9. Let v be d(-7). Suppose -v*w = 4 - 30. Calculate the remainder when a is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*o + 5*p, -21*p + 26*p + 1 = -2*o. Let k(r) = 7 + 10 - r - 22. Let w be k(-3). Sort 5, o, w, 4 in decreasing order.\nAnswer: 5, 4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 9*a + 15. Suppose -v + 2*f + 72 = 0, 2*v - 3*f - 43 = 102. What is the remainder when v is divided by u(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 178. Let t = -85 + r. What is the units digit of (79\/t)\/(-1)*(-110)\/(-55)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 2:49 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/36*9\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {x: 2, a: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f - 13*f + 4*f - 1 - 31*f - 2 to u*f + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -501, -500, -499, -498, -497?\n\"Answer: i - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 1 (c) -2\/11 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**3 + 1354*w**2 + 268*w + 817. Determine c(271).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 497280 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*z**3 + 191*z**3 - 20*z**4 - 336*z**3 + (0*z**2 + 0*z**2 + 2*z**3)*(-2*z + 0*z - z) - 6*z**4 + 2*z**4 + 3*z**4 + 3*z**4 - 2*z**4 - 5*z**4.\nAnswer: -31*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 22*z**2 + 27*z + 58. Let f be b(18). Let w = f - -6169. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65373\/5273 + -3677010952\/279469. Let d = y + 13144. What is the common denominator of (-2)\/2 + (-34)\/7 and d?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115996 and 23199200.\nAnswer: 23199200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2088984 and 107\/276.\nAnswer: 48046632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22399\/10 - 2236. Find the common denominator of -73\/22 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255111 + 30252?\nAnswer: -224415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the closest to 0.1 in 71, 4\/9, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -8. Suppose 0 = -3*u, 2*y + u - 62 = -u. Let a = y + v. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 3043506086.\nAnswer: 3043506085.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 4. Let d(m) = -5*m + 3. Let s be 2 + 8\/3*18\/24. Suppose 0 = -s*g - 0*g - 12. Give g*a(v) + 4*d(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 1609*z**2 - 6458*z - 60996. What is l(-1605)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24106893 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/420 - 48*o**5\/7 + 43200*o**4\/7 - 630*o**2. Solve t(j) = 0.\nAnswer: 0, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98813 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00364449 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 3*(-49)\/(-21). Suppose -5*w - 20 = 0, w = -c + h*w + 30. Suppose -5*m = -c*m + 10. Solve -5*n = -m*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*i - 192*i - 5*t + 76 = -3*t, -11*t = 3*i - 401 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 11*p**2 + 5*p. Let g be o(-5). Is -46\/273 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(133)*-1 + sqrt(133) - sqrt(133))\/sqrt(7) + sqrt(19) - sqrt(133)\/(sqrt(21)\/sqrt(3)))**2 - sqrt(38)\/(sqrt(14)\/(-2*sqrt(7))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 66 + 4. Let i be (-72)\/(-42) + (-4)\/v. Suppose 203 = 5*a - 3*g, -32 = i*a + g - 122. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5\/3 - 6328*h**4\/3 + 930412*h**3\/3 - 32730368*h**2\/3 - 1240528*h + 43674240 = 0. Calculate h.\nAnswer: -1720, -2, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(10\/(-4)) - -8. Let w(a) = 8*a - 14. Does 17 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*b + 36 = 0, b = -2*l + 3*l + 20. Let n be 1475\/(98\/l - -4). Round n to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = 6. Suppose x - 19 = j. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.367 (b) -353 (c) 2 (d) 18\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 5*m**4\/12 - 5*m**3\/6 - 15*m + 3. Let t(p) be the first derivative of r(p). Find z such that t(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 + 109 + 136 - 764*q**2 + 769*q**2 + 133.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0*u + 0*u**6 + 1\/12*u**4 + 0 + 0*u**3 + 1\/35*u**7 + 0*u**5 + 4*u**2. What is the second derivative of i(q) wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105750 is divided by 121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 7 (c) -12\/61 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 547 = -5*u - 207, 4*q + 304 = 5*u. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (-1)\/(-4)*8. Suppose 5*b = 5*a - 3515, b + 2809 = -a + i*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -5*u + 3*c, 104 = 5*u - 4*c - 46. Let q = -23 + u. Suppose 0 = s - 32 + q. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -109, -225, -385, -589?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2517 or -15107\/6?\nAnswer: -2517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398136824 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.357 - 2016.643. Let p = d - -2016.6182. What is p rounded to 2 decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 7}. Give prob of sequence cc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 2*q - 3*q. Let o(p) = p**3. Let y be o(q). Solve y = 2*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d, m - d + 3*d = 3. Let j = -11 - -17. Solve -z + 2*t - 3*t = 0, m*z = t - j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*y + 26, 5*m + 2*y + 0*y = -23. Let q be 14\/((-3)\/m) + 0. What are the prime factors of q\/2 + (4 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let c(d) = d**2 - 5*d - 8. Let r be c(6). Let p be g(r). Suppose -p*k = -k - 8. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*((sqrt(5) - sqrt(180)\/sqrt(9)) + sqrt(5)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10311 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*q - 8, -1800*z = 31*q - 1803*z - 124 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*t**3 - 31*t**3 - 57*t - 68*t**3 - 104*t - 294*t.\nAnswer: 2*t**3 - 455*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387686.1 months to decades.\nAnswer: 3230.7175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 520, 573, 610, 625, 612?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**2\/2 - 172. Let j(s) = 699*s**2. What is j(o(t))?\nAnswer: 699*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1942745 = 8*t. Suppose -30*n = -149141 - t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-3)\/(-9))\/(6\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 - 2) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -3, 5, -2 in descending order.\nAnswer: 5, -2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t)\/t)**(-1\/2) assuming t is positive.\nAnswer: sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70 + 95 - 85)*(3*n - 3*n + 2*n) - 3*n + 2*n + 0*n + (-1 + 0 + 2)*(0*n - n - n) + 1 - 1 - 2*n to the form j*n + g and give j.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.063 - -0.063. What is the fourth smallest value in 3\/7, 1\/3, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281252746 is divided by 7010.\nAnswer: 7006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/82? (a) 1\/118 (b) -1\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 28, 47?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + 8*d + 1. Let h be c(-5). Let r be (-3)\/2*(-110)\/15. Suppose r*a = 117 + h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/12 + 5*u**3\/3 - 7*u**2. Suppose 40 = 503*s - 498*s. What is n(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 8*z + 3 = f, z + 3 = f. Suppose z = 6*t + 3*t - 2655. Does 41 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 73. Let r be -3 - l\/(-3)*3\/(-9). Let y(h) be the first derivative of -h**3\/3 + h**2\/2 - 4*h - 3. Calculate y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -658, -3, 0.05, 1\/6, -4?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73007561 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1436667097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 43 + 12. What is the lowest common multiple of 1 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**7\/168 + t**6\/60 - t**5\/80 - t**4\/24 - 22*t. Solve q(u) = 0 for u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 + 7*s**4\/12 - s**3 + 2*s**2 - s. Let g(a) = -4*a + 42. Let b be g(9). Determine l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-33))\/(((-14)\/24)\/(-53 + 46))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913400.9 kilograms in tonnes?\nAnswer: 913.4009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141100243 (base 5) in base 11?\nAnswer: 453457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2 - c - 4)*(0*c - 4*c + 2*c)*(0 - 1 + 0 + (-2 + 2 - 1)*(-1 + 1 + 3) + 3 - 3 - 1 - 4 + 2 + 1) as x*c + b*c**2 + k and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-176)\/80)\/((-2)\/10). Let v = -7 + c. Suppose s - 3*x + 10 = 0, -v*s - x + 8 = -4. Solve 0 = -n - s + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1226*k - 5*k**2 - 788*k - 4*k**2 - 797*k + 2811*k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 9\/8 (b) 1 (c) -1 (d) 0.5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 2*a - a**2)*(-4 - 25 + 0).\nAnswer: 29*a**2 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -14 + 38 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(-2\/5))**(2\/3) assuming t is positive.\nAnswer: t**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40535 - 253660?\nAnswer: -213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81384317, -81384318, -81384319, -81384320, -81384321, -81384322?\n\"Answer: -k - 81384316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0699 + -1.0899. Which is the smallest value? (a) -2 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135*c**4 + 451*c**4 - 210*c**4 + (-2*c**3 - 2*c**3 + 2*c**3)*(-3 - c + 3).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 51 - 0 - (3469 + -3456)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -148 - -d707?\nAnswer: d59d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 98*h + 97. Give l(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:03 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6\/5, -2 in decreasing order.\nAnswer: 6\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**3 + 4*b**2 + 16*b - 51. Calculate h(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 12*y**2 - 9*y - 6. Let q be r(11). Solve -k - 2*k + 2*v = 13, 2*k = 5*v - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 31801613?\nAnswer: -3\/31801613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/187, -2\/3, 1 in decreasing order.\nAnswer: 1, 24\/187, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -7, -1, 2, 1 in descending order.\nAnswer: 2, 1, -1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*r - 5*o, 6*o - 3*o - 15 = 0. Let z = 7 - r. Let d be z\/18*2*0. Solve d*c - 5*c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196490 and 50?\nAnswer: 982450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8516267, 8516263, 8516259, 8516255, 8516251, 8516247?\n\"Answer: -4*w + 8516271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*q + 134*q - 8*q)*(2*q**2 - 3*q**2 + 2*q**2) - q**3 + 2*q**3 - 3*q**3 + (q**3 + q**2 - q**2)*(-3 + 1 + 3).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*d - 3*n, 13*d = 8*d - 5*n + 25. Which is bigger: d or 4\/329?\nAnswer: 4\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*c - 19, y - 12 + 29 = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1348127700 divided by 67406385\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 181, 683, 1679, 3337, 5825, 9311, 13963?\n\"Answer: 28*g**3 - 5*g**2 - 5*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, 1, 14 in decreasing order.\nAnswer: 37, 14, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, k: 3, n: 4}. What is prob of picking 3 k?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x + 3. Suppose 0*s + 2*s = 4. Let w be p(s). Does 3 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) -11 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7684)\/(-388)*(-2)\/(-32). Let j be (-2)\/(-4) - (-315)\/(-970). Let h = j - u. Calculate the common denominator of -49\/22 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - 10020?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = v + 7*d + 15, -v - d = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**4 + 2*c**2)*(2 - 6 + 2)*(28*c + 114*c - 73*c).\nAnswer: -138*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(50) + (1*sqrt(200) + sqrt(200))\/sqrt(5))\/(sqrt(48)\/(sqrt(6) + (sqrt(6) + 5*sqrt(6) + sqrt(6))*3)).\nAnswer: 242*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/24 + 0 + 1544\/6 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 + 23*v - 8. Determine q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 n, and 1 q when four letters picked without replacement from pcnngcuqq.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 94\/(-235) - (-51)\/15. Let z(b) be the first derivative of 9*b**3 + 1. Let o be z(-1). Calculate the greatest common divisor of g and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j + 327. Suppose 0 = -57*v + 41*v - 384. Let y be t(v). Calculate the highest common factor of y and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 11. Calculate s(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/(-10)*-1)\/((-2)\/4). Suppose -4*n - a*z + 65 = n, -4*n = 2*z - 42. Solve -n = 22*w - 20*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101002020 + -10?\nAnswer: -101002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 29494.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) + (sqrt(882) - (sqrt(882)*1 + sqrt(882) + sqrt(882))))\/(-2*sqrt(441)) - ((sqrt(96) + sqrt(96)*-2)\/sqrt(6))\/(sqrt(200)*2))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 3) to base 16\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u**2 + 15*u**2 + 3*u**4 - u**3 - 2*u**4 + 36*u - 33*u + 3*u**4 - 13 in the form q*u**2 + m + w*u**4 + n*u + v*u**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31074064 rounded to the nearest ten thousand?\nAnswer: -31070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from {a: 8, q: 1, r: 1, z: 2, x: 5, m: 3}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 289?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 4. Let l be a(-2). Factor 2*b**3 - b**4 + 2*b + l*b - 11*b**3 + 7*b**3 + b**2.\nAnswer: -b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*f = -459*f. Is f at least -1\/5664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(1\/2))*u*u)**(14\/9)\/((u\/((u\/(u*(u*((u*u**(-1\/5))\/u)\/u)\/u))\/u))\/u)**30 assuming u is positive.\nAnswer: u**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-5))\/((-469459)\/78218 - (-1 - 5)). Calculate the greatest common factor of q and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 4.7. Let j = -1.05 - -0.05. Let n = 3 + j. What is the nearest to n in 1, s, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13104 = -96*f + 45936. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = 5*f, 0 + 5 + 2 = -5*b + 3*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - s**2 + 1. Let z(p) = -5*p**3 + 5*p**2 + 9*p - 2. Let h(j) = 6*y(j) - z(j). Let f be h(-10). Let w be f\/(-4) + 52\/8. Are w and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 311*j**3 - 3*j**4 - 4 - 312*j**3 + 2*j - j**4 + 2*j**4 to v*j + q*j**3 + k + t*j**2 + u*j**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1704)\/16*4\/3. Let f be (-1 + 0)*d\/(-1). Let w = f + 285. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 614?\nAnswer: -613.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 1:01 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v - 401. Calculate r(-39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 19 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4004*q - 4004*q + 5*q**3 - 2*q**2 to d*q + a*q**2 + j + i*q**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -6. Let k = 200032 + -200013. Which is the closest to -1? (a) n (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(637) + 1 + 4 - (-1*sqrt(637) + -4)**2) + 4.\nAnswer: 294*sqrt(13) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 430. Suppose 885 = 301*u - 8145. What is the remainder when i is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) -1 (c) -2 (d) -0.03 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (3 + 42 - 52)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-15)*(0 - -2). Let m = -2.38 - -6.38. What is the fourth smallest value in 5, n, m, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c - 15 = 0. Suppose 0*h = c*h - 15. Suppose -3*w + f = -75, -w = -0*w + h*f - 25. Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15537 and 209.\nAnswer: 15746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6013762 minus -7?\nAnswer: -6013755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + -0.4. Let y(u) = -u**2 - 16*u - 32. Let m be y(-6). Let v be -8 + (105\/m - -4). What is the nearest to v in -3\/4, -1\/15, z?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*v**4 - v - 5*v**2 - 3 + v**2 + 269*v**4 to t*v**4 + g*v + h*v**2 + p*v**3 + q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -88. Is ((-150)\/(-4))\/(t\/(-72)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.124677233*0.1\nAnswer: 0.0124677233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyn when three letters picked without replacement from dyododdwddpnpd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w**2 + 10*w + 5. Let h be j(8). Let v = h - 415. Suppose 5*o - v = 61. What is the remainder when o is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2345 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**6\/9 - 8*p**5\/5 - 2*p**4\/3 + 128*p**3\/3 - 256*p**2\/3 - 132. Let x(m) = 0. What is m?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2988480 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -35, 4, 467 in increasing order.\nAnswer: -35, -7, 2, 4, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.08, -16\/6453 in decreasing order.\nAnswer: 1, 0.08, -16\/6453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, a: 1, s: 1}. Give prob of picking 1 x and 1 s.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79596 is divided by 1153.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03413 * 793\nAnswer: 27.06509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1681 - 1154. List the prime factors of t.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l**3 + 2*l**3)*(0 + 0 - 2*l) + 0*l**4 - 2*l**4 - 3*l**4 - 8*l**4 + l**4 - 7*l**4.\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, l: 2}. What is prob of picking 3 s?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*w**3 - 2*w**2 + 6*w**2 + 5*w**2 + 249*w**3 wrt w.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 50.5215 meters?\nAnswer: 0.0505215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t + 12*t + 3*t to the form l*t + w and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -57*o**2 - 623*o - 15. Let y be z(-11). Let s(t) = t**3 + 5*t**2 - 7*t - 4. Let m be s(-6). Let p = m - y. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6433*p**3 - 12168*p**3 - 6729*p**3 - 9058*p**3.\nAnswer: -21522*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:25 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -36, 13, -2, 5 in descending order.\nAnswer: 13, 5, -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2050449.\nAnswer: 3, 683483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*2*2*-6)\/(5*sqrt(16)\/(sqrt(14)\/sqrt(112))).\nAnswer: -36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138.31 + 140. What is n rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 3. Suppose 0 = -4*y + 9*y - 70. Let b = y - -1. Let t(p) = p - 6. Let z be t(b). Let d(j) = -13*j + 7. Determine z*s(i) - 4*d(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 6 (c) 2\/2775 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = 3*m + 7, -5*m - 2*c = 19. Is (-7 - m - -3)*(2 + 1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 8938?\nAnswer: 18769.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226 - -2936\/13. Let g = -53.6 + 54. Which is the third biggest value? (a) o (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/20 + (-36)\/(-10)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 7)*2\/8*-8*(-126690)\/(-16892)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104.5 - 105. What is the smallest value in 0.2, x, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 5. Suppose 3*n = -2 - 13. What is the nearest to -1\/4 in q, 2, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 869 + -343. Let m = d - 418. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5259403 equal to -5259400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/440 and 53\/176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let q(r) = -244*r - 27. Let w(h) = 121*h + 12. Let a(o) = -4*q(o) - 9*w(o). Determine m(a(l)).\nAnswer: 113*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgoommtmombooo. What is prob of picking 1 m and 1 b?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - p + 12 = -0*o, o + 4 = 4*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/7 + (-1)\/(-7). Suppose -2*g - x = -t + 3*g, 2*g + 17 = 5*t. Suppose 2*a - 25 = 7. Solve a = -t*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2 + -2 - 0. Let f = -19 + 27. Let s = d + f. Solve 2*m + n + 0 = -4, n + s = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 2*h - 9*h**4 + h**3 + 12*h + 11*h**4 + 4*h**3 + 0 - 1 to o*h**3 + g + x*h + z*h**2 + n*h**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63119 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2505 + 0.1495. What is the fifth smallest value in -0.2, -2\/9, -0.3, i, 0.31?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 23229 = 5*i, 3*i - 4*i + 3*k = 4639. What is i rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 - 152*c - 150 = 0.\nAnswer: -75, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162926 is divided by 438.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 4*l, -5*l + 14 = -0*l + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5494186\/123 - -44668. Find the common denominator of -2 - ((-3)\/7 + -2) and f.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 2, j: 1}. Give prob of sequence ut.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 - 3*v + 3. Let k be w(7). Let a(o) = o**3 - o**2 - 6. Let s be a(5). Let j = s - k. Is j 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 -1.6657, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.662 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 + (-4 - -10) - 10 - 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136596462 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t**2 - 5*t + 3. Let h be (-8)\/6*(-27)\/6. Let w be u(h). Let g = 12 - w. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27 and -9.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 38641878.\nAnswer: 231851268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - (-10 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 352\/(-33)*30\/(-8). What is the hundreds digit of (4 + -1)*y\/(-6)*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 - 1590*m\/13 - 1592\/13.\nAnswer: 2*(m - 796)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/8 + 88571*n**3\/2 + 31379642445*n**2\/8 + 31378933881*n\/4.\nAnswer: n*(n + 2)*(n + 177141)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 7. Suppose -o + u = 2. Solve 2*w + 4 = o*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 206\/(-1442)*126\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 11.7. Let g = -11932 - -11931.2. Is g < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -7. Suppose n = 2*r + 3*r. Solve -10 = 2*b, 8 = r*u + 2*b + 38 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37664, 75339, 113030, 150737?\nAnswer: 188460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654 or -6506?\nAnswer: -6506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/18 (b) -32\/5 (c) 0.5 (d) 2\/31 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/18)*w*w*w\/(((w\/(w\/(w\/(w**(-8\/5)\/w)*w*w)*w*w*w))\/w)\/w) assuming w is positive.\nAnswer: w**(211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) 84 (c) -4 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*(0 + -6). Find the second derivative of 0*d**3 - 2*d**3 - 2 + k - 8*d wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97742.\nAnswer: 2, 48871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 413\/28)\/((-24)\/(-5472))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - h - 147 = 2*h, -5*h + 107 = x. Let b be -1 + 4 - (1 - x). Is (5\/10)\/(1\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:51 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*f**3*g**3 + 416*f**3 + 9*f**2*g**3 + 17*f*g**3 + 334*g**2 + g wrt f?\nAnswer: -348*g**3 + 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 3, h: 4}. Give prob of picking 2 m and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*n = 5*u - 35, -3*u + 14 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 40, 45, 64, 103, 168?\n\"Answer: l**3 - 2*l**2 - 4*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 107*x + 975. Let w be y(10). Sort -24, -4, -2, w.\nAnswer: -24, -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 34*c + 17*c + 16*c)*(-2*c**4 + 3*c**4 + 5*c**4).\nAnswer: -6*c**5 + 270*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = k + 3*k. Let l = 2820 + -2819. Calculate the least common multiple of l and (48\/(-18))\/(2\/k).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**15*f*f)\/f**(1\/21))\/(f\/((f*(f*f**(-4\/7))\/f)\/f*f))**(-7\/6) assuming f is positive.\nAnswer: f**(370\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 43 + -42 + 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**6\/120 + h**5\/20 - h**4\/6 + h**3\/3 + 2*h**2. Let m be d(2). Let n be m\/4 - 9\/6. Put 4, 3, n in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 18*x - 2*x + 150 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003658 is divided by 4888.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911 is divided by 735?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n**2 + 9*n - 10. Let u be p(-9). Is 2 + (4 - 3) + u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 183 = 67*x - 297 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1060 + 6432. Let r = 47492 - w. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 0.0397.\nAnswer: 0.001588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 6.1. Let f be ((-38)\/(-4))\/(9\/18). Suppose -16 = f*j - 15*j. Which is the third biggest value? (a) h (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.095*1.\nAnswer: -2.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -60*m. Let t(s) = 2*s - 70. Determine t(j(z)).\nAnswer: -120*z - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + m + 1. Suppose -7*k + 15 = -2*k. Let v(p) = 13*p + 1 - k*p + 1 - 8*p. Give 2*c(b) - v(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0034 from -22.\nAnswer: -21.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 9*d**3 + 7*d**3 + d**2 + 2*d + d**3 - 7 - 2*d**4 as l + n*d**4 + h*d**3 + i*d**2 + x*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212537.42 to the nearest 1000.\nAnswer: 1213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 + 133\/(-14))*62*1. What is the third smallest value in 4, r, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -40739 in descending order.\nAnswer: 4, 0.5, -40739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**4\/4 + q**3\/2 - 3*q**2. What is the units digit of r(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + r. Let u(b) = -b**2 + 11522*b**3 + 3*b**2 - 4*b - 11515*b**3 + 0*b**2. What is 5*n(p) + u(p)?\nAnswer: 2*p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -144*p + 74. Determine b(5).\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/693)\/(32\/(-112))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 7. Let d be p(12). Solve -3*z + 0 = -2*g + 3, 5*z + g + d = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 1. What is b(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/31559068 and -49\/7889767?\nAnswer: 31559068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45111496 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**5\/60 - 5*j**4\/24 + j**3\/3 - 5. Let w(l) be the third derivative of u(l). Differentiate w(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 5, -5*m - 14 = u. Let i be ((-3)\/(-6))\/((-2)\/(-4)). Is i less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31001 - 3?\nAnswer: -31004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a + 4\/5*a**4 + 0*a**2 + 4\/25*a**5 - 5 + 4\/5*a**3. Suppose d(f) = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 1:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1771*m**2 + 1746*m**2 - 3475*m**2.\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13800079391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:12 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 = 2*c, 3*h - 26 = -2*h - c. Let r(x) = -x**3 + 5*x**2 + 5*x - 7. Let y be r(h). Find the common denominator of -109\/22 and (4\/y)\/((-24)\/1143).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4668.3 to the nearest 10.\nAnswer: 4670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 + 59989*m\/7 - 1427182.\nAnswer: -(m - 59822)*(m - 167)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 27, 726, -1.\nAnswer: -13, -1, 27, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.44 + -16. Let o = a - 0.5. Let r = -0.04 + o. What is the nearest to -1 in 0.3, 2\/17, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 182*x**3 + 56 - 16 - 20.\nAnswer: 182*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944110, -944194, -944278?\nAnswer: -944362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 minus 170507.6?\nAnswer: -171320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 5*p**3 - p - 4*p**3 - p**4 + (-146*p**2 + 9*p**3 + 146*p**2)*(2 - 2 + p).\nAnswer: 8*p**4 + p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/2 - (-1)\/2. Solve -8*u - 4*y = -3*u - 6, 5 = x*u + 5*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 - 151?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.17283, -3, 4\/3, 5?\nAnswer: -0.17283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -155.\nAnswer: -6\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 6*w - 6. Suppose -7 - 33 = 10*y. Determine n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-29)\/r*r**(-3\/8)*r assuming r is positive.\nAnswer: r**(-235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -19 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q - 5. Let h be v(0). Suppose 0 = -2*s - 2*s + 8. Let i be 4\/10 + (-18)\/(-5). Put h, i, s in decreasing order.\nAnswer: i, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 7 + 16. Suppose -y - 2*d = -24, 4*d + 90 - 18 = v*y. What is the lowest common multiple of y and (-35)\/(-21) + (-134)\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69048 + -131331478?\nAnswer: -131331478.69048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n - 70. Let g(b) = -5*b - 2. Let s(x) = c(x) + 4*g(x). What is s(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5113 rounded to four dps?\nAnswer: -0.5113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 9*t - 12. Give w(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 91. Suppose 6 = 3*s - h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 54*i**2 - 2*i**3 + 0*i**3.\nAnswer: -3*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (15 + 6) - -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(744\/(-22320))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 1. Let a be (6\/(-2))\/(9\/(-6)). Suppose -a*x + 4 = -0*x. What is the units digit of b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 + o + 10. Let d be w(0). Suppose d*y = 8*y - 14. Let g(b) be the first derivative of b**4\/4 + 2*b**3 - 7*b**2\/2 + 4*b + 36. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*((-3 + 3 - 2)*(-33*p**2 + 39*p**2 + 38*p**2) + 2 - p**2 - 2).\nAnswer: -267*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2\/3 + 122*y\/3 - 104\/3.\nAnswer: 2*(y + 13)*(5*y - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a5 (base 14) in base 10?\nAnswer: 8769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -345, -353, -367, -387, -413, -445, -483?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from hebhbhaahwhxaahb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/(-5)*90\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)*-5 - -1*sqrt(315))\/(sqrt(7) - (sqrt(567) + -2*sqrt(567) + sqrt(567)) - (4*sqrt(28)\/sqrt(4) + sqrt(7))) + -1.\nAnswer: -1 + 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 7791*c - 46749. Determine a(6).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 - 9*b - 5. Let y(i) = -3*i**2 + 4*i + 3. What is 2*l(v) + 5*y(v)?\nAnswer: -3*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 208057.\nAnswer: -23\/208057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z + 2. Let r(f) = -21*f - 2. Calculate -4*d(j) - 5*r(j).\nAnswer: 25*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-12)\/8 - -2) + -1)*120. What is k rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 9*c + 5. Let f be a(4). Suppose 111*z + f = 112*z. What is the greatest common factor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 110*w**2 - 2803*w - 6659. What is q(66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from {u: 1, v: 2, y: 3, x: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18894641 is divided by 2793.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltcmccccqlbllllbm. What is prob of picking 1 t, 1 m, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2078764 to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3 and ((-59)\/44 - -1) + (-12)\/16.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*l + 1485 = 477*l. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 + 403. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -601 - -600.9. Let a = -1.8 + -0.7. Let i = a - -1.4. What is the second biggest value in i, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 22*r + 5*r - 2247358. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 992*w - 1161*w - 1183 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/17 + 16*i**2 - 5720*i\/17 - 27104\/17 = 0. What is i?\nAnswer: -154, -4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9572 is divided by 252.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2111)\/3*42\/140. Let f = 211 + t. Sort 2\/17, 0, -2, f in decreasing order.\nAnswer: 2\/17, 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7000 and 4801000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, i: 4, n: 3, v: 2}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) - 48\/(-27). Let l(h) = 57*h**3 - 3*h + 21 + 4*h**2 - 5 - 15. Is l(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 2, -7, -24, -49, -82?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100101010 (base 2) to base 5.\nAnswer: -33341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose -8 = -v*o + o - 3*w, 0 = -4*w - 4. What is the common denominator of -30\/7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2337 = -5*p, 769 = h - 2*p - 398. Let w = h - 64. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/43, 5, -0.4 in ascending order.\nAnswer: -0.4, 2\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1686, -1.6, 2\/329, 19 in increasing order.\nAnswer: -1686, -1.6, 2\/329, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + 2*b - 1 + b + 0 + 0 + 2*b + b - b + (3*b + 3*b - 5*b)*(0 - 2 + 3) + 4*b - 2*b + 0*b + b + 0*b + 0*b - 6*b - b - 4*b)*(-21*b - 35*b + 15*b).\nAnswer: 205*b**2 + 41*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19138?\nAnswer: 2, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21585 is divided by 188?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-16)\/72*-1*9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 a factor of 424781581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11412687 or 11412702?\nAnswer: 11412687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-120)\/50 - -1)*(-9)\/(-21). Which is the smallest value? (a) -0.2 (b) 0.38 (c) 5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Let u = -6.96 - 0.04. Let k = u - -2. Sort w, k, -2 in descending order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 11*u**4\/12 - u**3\/3 + 56*u**2 - 23*u + 2. Differentiate a(x) with respect to x.\nAnswer: 22*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 0*c**2)*(17 - 48 + 22 - 2*c + c**2).\nAnswer: -2*c**4 + 4*c**3 + 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -962189.55 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*x = 178, 4*i + 5*x = 56 + 102. Let j = i - -21. Calculate the greatest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 58 = -2*f, 50*f = 53*f - 3*o - 57. Calculate the smallest common multiple of 27 and f.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/(-1134)*(-9)\/3*9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 7*x - 2. Let r be o(-6). Suppose -2*l - 6 = r*v, l + 11 = -l - 5*v. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 646 in -4, -2\/5, 4, -3, -3\/8, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27216 and 7952.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, s: 1, c: 2, k: 2, e: 2, q: 2}. Give prob of sequence ec.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 90 (b) -7\/6 (c) -2491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/44 + 23\/4. Suppose -3*p + 2*i = -p + 6604, 0 = -4*p + r*i - 13210. Round p to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68106838?\nAnswer: 2, 797, 42727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2*h + h**3 + 56*h**2 + 0*h - 48*h**2 to the form u*h**2 + p*h**3 + w + n*h and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqvvfvqvvxvqvxvvvqf. Give prob of picking 1 x and 3 v.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -1.9. Let n = 0 - h. What is the closest to 0.1 in n, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 54. Let y = 22 + k. List the prime factors of -5*(-3 - (-2)\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9097 and 262.\nAnswer: -238.3414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -42\/23, 408 in descending order.\nAnswer: 408, 3, -42\/23, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a8a15b - -3?\nAnswer: 4a8a161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (865\/346)\/(20\/224)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 34*h - 9. Let p(s) = -39*s + 12. Let b(w) = 6*p(w) + 7*r(w). What is b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1032954073\/5980 - -863674\/5. Find the common denominator of n and -41\/598.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -o - 2*r, -2*r - 10 = 3*o + 26. Let h be 3*(32\/(-120))\/(2\/o). Sort -3, h, -6 in descending order.\nAnswer: h, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3 - 10*t**2 - 2*t + 10 = 0. What is t?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - r = 248 - 1336, 2*w + 5*r = 449. Let a be (10\/7)\/(62\/w). Let p = 0 + 0. Sort p, -3, a, 2.\nAnswer: -3, p, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)*t**(1\/4))\/(t\/t**(-2\/9))**47 assuming t is positive.\nAnswer: t**(-2107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4179*m**3*w - 147983*m**3 - 4*m**2*w + 2*m**2 - m - 2*w + 2 wrt w.\nAnswer: 4179*m**3 - 4*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {s: 4, z: 4, u: 3, n: 3, o: 6}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - f - 2)*(1 + 1 - 8) + 23*f + 5*f - 6*f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1120 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46893 and 39556?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9820490023.\nAnswer: 29, 338637587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w - 4*w + 3520. Suppose 0 = -24*u - 76 + w. Solve u*v + 8 = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101 (base 2) to base 14.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*s + 3*f, 2*f = s - 2*f - 3. Let p(a) = -3. Let w(n) = 5. Let u(l) = 8*p(l) + 5*w(l). Let x(o) = -o + 3. Determine s*u(c) + 2*x(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.32 (b) 0.2 (c) 2 (d) 1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -321 + 1?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:50 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -2*l**5\/5 + 29*l**4 - 112*l**3\/3 - 58*l**2 + 114*l - 1700. Solve i(p) = 0.\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 738 + 1870. Suppose 2*a - 439 = -5*y + f, 551 = a - 3*y. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159 and 4955814.97.\nAnswer: 4955973.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 5*k**4\/24 - 424*k**2 + k. Let m(h) = 2*h**2 + 42*h. Give m(l(g)).\nAnswer: 50*g**2 + 210*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*26\/(-6) - 14\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10.22855+-105\nAnswer: -94.77145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 1, -15\/101, 0.3, 2 in increasing order.\nAnswer: -15\/101, 2\/17, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*g + 10758 + 2530 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q - 10 = 0, q = f + 11. Let l(b) = -b**3 - 10*b**2 - 11*b - 11. Calculate l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*1 + sqrt(1188) - (sqrt(33) - sqrt(132)*-1))\/(-1*sqrt(1728) - -4*sqrt(54)\/sqrt(2)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39778.8563 rounded to the nearest ten?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -7*u**4\/4 + 2*u**2 + 8. What is the second derivative of w(a) wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -433\/12 - 19151\/156. Let o = u - -159. Factor -o + 2\/13*g**3 + 6\/13*g - 6\/13*g**2.\nAnswer: 2*(g - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.41383 months in centuries?\nAnswer: 0.019511525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 29*i - 138. Let k be q(23). Let c(m) = m**3 + 2*m**2 - 2*m - 1. Let z be c(-3). Let s be (k - 3 - -2)*z. Solve s*h - 12 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-615)\/164 - 27\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 8. Let s be 326\/22 - n\/33. Let l be 4\/20 + 16799997\/s. What is l rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10758, 21516, 32274?\n\"Answer: 10758*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.8 - -149.5. Let l = -84 + g. Which is bigger: -0.11 or l?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 24.63592432.\nAnswer: 22.63592432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/((-270)\/(-126)))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*s + 235 = 222*s. Solve -8*p + s*p - 35 = -5*g, -3*g + 3*p = -27 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7761, -31000, -69721, -123918, -193585, -278716?\nAnswer: -379305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18853926, -18853938, -18853950?\n\"Answer: -12*a - 18853914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/3)\/(6\/18). Let n(r) = 5*r - 2. Give n(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.454 - -0.2711. Let f = -0.192 - y. What is f rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 53. What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + 3 + -4 - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71129769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153216 and 7297976.\nAnswer: 1050908544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 + 1642 = 7*s. Which is greater: 177 or s?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + -5964618\nAnswer: -5964617.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3, 568*d - 26 = 573*d - 3*y for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 128*y + 768.\nAnswer: 4*(y - 24)*(y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00044817 + -3780967.00044817. Let x = n - -3780971.9999925. Let j = x + -5. Round j to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, x: 1, i: 4, k: 1, w: 3, o: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - 3 - 1) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 3903, 8810, 15673, 24486, 35243, 47938, 62565?\nAnswer: 79118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + -1*(sqrt(612) - 2*sqrt(612)).\nAnswer: 8 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 - 3\/(-4). Let v(h) = h + 3. Let x be v(8). Let j = 20 - x. Calculate the highest common divisor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 348*w**2 - 10*w - 5. Let k(j) = -2*j - 1. Calculate i(x) - 5*k(x).\nAnswer: -x**3 + 348*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 344\/(-56) + (180\/80)\/(63\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/24)\/(889\/5334).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 312.76586\nAnswer: 3127.6586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1649 - 1651.538. Let v = -73.6 - -76. Let u = v + g. What is u rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(162)*-1 + 2 + (sqrt(2)*-1*3 - (2*sqrt(288))**2)).\nAnswer: 36*sqrt(2) + 3450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56*12\/(-40320)*(-25)\/(-80).\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, n: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14816, -14814, -14812, -14810, -14808, -14806?\nAnswer: -14804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -17*z**2 + 14*z**2 + 6*z**2. Let k(m) be the second derivative of m**4\/12 + 5*m**2\/2 + 5*m. Let s(h) be the first derivative of k(h). Give s(d(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**6\/15 + 256*h**5\/25 - 1983*h**4\/5 - 3328*h**3\/3 - 845*h**2 - 186. Factor y(p).\nAnswer: -2*p*(p - 65)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 788*i - 43. What is the tens digit of g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 1060.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/8)\/((-140)\/(-224)). What is the closest to 33 in -0.2, w, 2, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*b + 158828 = 158822, -n - 4*b - 9 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31.2, 3\/2 in increasing order.\nAnswer: -31.2, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 2*s + 7. Let h be k(0). Suppose 42 = h*g - 0*g. Let p be 8*3\/(-6)*-2. Solve -g*q = -2*q + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117424862, -117424863, -117424864, -117424865, -117424866?\n\"Answer: -q - 117424861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -16277406?\nAnswer: -19\/16277406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.3 + -12. Let f = 0.3 + 0.1. Let h = c + f. What is the third biggest value in 1, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 113151 and 113151.\nAnswer: 113151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 22610.6ng?\nAnswer: 0.0000226106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1861917, 3723863, 5585809, 7447755, 9309701?\nAnswer: 11171647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4170, -54\/5, 0?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4712 divided by -1?\nAnswer: 4712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/177 in -1\/2, 0.298, 1\/17, -3, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*16 + 16*304\/(-320).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 2 w when four letters picked without replacement from {v: 4, u: 1, t: 1, z: 2, w: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4099 divide 202037413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {u: 4, b: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2.4. Which is the third smallest value? (a) h (b) -21 (c) -7 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5133 + -5057. What is the remainder when 2735 is divided by a?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 35*k**3\/6 - k**2 + 55*k + 11. Let j(t) = t**2. Determine j(o(b)).\nAnswer: 1225*b**2 - 140*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 189? (a) 11 (b) 0.2 (c) -1.2 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -624243905.2 and 13.\nAnswer: -624243892.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t**2 - 5*t**2 - 20 - 13*t**2 - 4*t**2 + 22*t**2 in the form n + q*t**2 + m*t and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(2 - (27\/6 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**5 - 625*r**4 - 86765*r**3 + 90445*r**2 + 438660*r + 262080 = 0?\nAnswer: -84, -1, 3, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 0)\/(0 + -1). Let q be 5*(2 + (-12)\/w). Let j = q - -5. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*sqrt(100)\/((sqrt(64)\/sqrt(4) + sqrt(16) + sqrt(16))\/sqrt(8)) + sqrt(800) + (sqrt(800) - (1 + sqrt(800) + 2)) + 1))**2.\nAnswer: -8500*sqrt(2)\/3 + 362150\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-3 + 5) - 0\/(-2). Let y(f) be the second derivative of 17\/6*f**4 - f + 10\/3*f**3 + z - 21\/20*f**5 - 4*f**2. Factor y(v).\nAnswer: -(v - 2)*(3*v + 2)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6796166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*l**4 - 15*l**3 - 11*l**2 - 3*l + 33099963.\nAnswer: -88*l**3 - 45*l**2 - 22*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103711\/69 - -1503. What is the common denominator of a and (1 - 850\/72) + (2 - 40\/(-8))?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/91 + 4171\/4368. Calculate the common denominator of 17\/6 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(6*(sqrt(1088) + sqrt(1088)*1 + sqrt(1088)) + -2 + -2)*-3.\nAnswer: -4320*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -12 + 12 + q**2. Let p(c) be the third derivative of 0*c**3 + 0*c - 11*c**2 + 0*c**4 - 1\/30*c**5 + 0. Give x(p(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 3*z + 9, 0 = -u - 2. Let o(f) = 86*f + 5. Let h be o(3). Let g = -5259\/20 + h. Is z > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*u + 2*q, -4*u + 45 = -0*u + 3*q. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -33210131?\nAnswer: 33210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1097 + 20831\/19. Let l = 77\/152 + h. Which is the third biggest value? (a) 9 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19\/(-57))\/((-50)\/24 + 2). Let d = -111 - -997\/9. What is the smallest value in 2, -2\/3, a, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265421214?\nAnswer: 2, 3, 14745623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -2*n**3\/21 - 10*n**2\/7 - 50*n\/7 - 9. Determine q, given that i(q) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 5*d - 2*d + 10 - 3*d. Let w be a(3). Suppose -w + 2 = -c. Solve b - 2 = 0, 4 = -c*g - 5*b + 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 950196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -242217470 to the nearest one hundred thousand.\nAnswer: -242200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87649401 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 405 - 404.875. Let k = 0.425 - z. What is the closest to 0.2 in -2\/15, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -55*o**3 + 11*o**2 - 11*o - 5. Let d(w) = 11*w**3 - 2*w**2 + 2*w + 1. Let f(j) = -4*c(j) - 22*d(j). Differentiate f(r) wrt r.\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(18)\/((sqrt(24)*-2)\/sqrt(4))*-6.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 662992\/141 or 4701?\nAnswer: 4701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2969.\nAnswer: -5\/2969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**5\/5 + 12*w**4\/5 - 48*w**3\/5 + 6*w**2\/5 + 39*w\/5 - 18\/5 = 0.\nAnswer: -3, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3205221 divided by 3.\nAnswer: -1068407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47856 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 130*u**3 - 2*u + 1. What is the tens digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 2125?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + 17*f - 13. Let r be m(8). Calculate the common denominator of 89\/15*r\/(-2) and (-411)\/42 - (-2)\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(16\/10 + -1). Let d be 1 - -1 - (5 + -7). Suppose 0 = d*n - 2*n - u + 10, 3*n + u = -15. Which is the third biggest value? (a) -3\/5 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1389 and 18?\nAnswer: 8334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*t = 18, -8*t = 4*c - 9*t - 24. Sort -2, 2, c in decreasing order.\nAnswer: c, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*n**2 - 456*n**2 - 458*n**2 - 455*n**2 + 2279*n**2 - 450*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - -3 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 + -73. Let t be 5\/r - (-122)\/4. Let d = 119 + t. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2495 divide 58269421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421.2003 nanometers to centimeters.\nAnswer: 0.00004212003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 353 - 166 - 154 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -3 - (0 + -8). Suppose 0 = -z + 5*z - 16. Solve -z*c = -5*w - s, -4 = -c + 4*w + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 10. Let z = -34 - -16. Let j be l(z). Let v(t) = 10 + j*t**2 + 24*t - t**3 - 10*t - 15*t - 9*t. Calculate v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 + 32.\nAnswer: 31.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 4) + (-1 - 1) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -811*u + 1045 - 223 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1260\/7)\/18*2\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r + 20. Suppose r - 15 = -2*g. Suppose -2*d + 2*s - 3*s - g = 0, 2*s + 10 = 0. Solve -3*c + d = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 55, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 13*j = 0. Let g be (3\/(-4))\/(3\/12). Sort j, 3, g in ascending order.\nAnswer: g, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-45)\/(-6). Put 0.3, 1\/7, x in ascending order.\nAnswer: x, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrnggrgrr. Give prob of sequence rd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, x: 6, d: 2, v: 2}. What is prob of picking 1 v and 2 y?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10646435 (base 7) to base 13\nAnswer: 26a209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41168 and 134128?\nAnswer: 4157968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 33 + 16*b)*(1 - 1 - b**2).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -11. Let n(a) = -5*a + 4. Let m(d) = -7*d + 3. Let g(b) = -4*b + 2. Let o(c) = -5*g(c) + 2*m(c). Let l(z) = p*n(z) - 4*o(z). Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/134904 and 43\/236082.\nAnswer: 944328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10296 and 3552912?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2170 - -2170.4. What is the second smallest value in -0.5, 26, -4\/7, -2\/15, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*b - 31 = 0, 5*b = 3*y - 4*y + 33. Solve -2*w - 3 = -y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 110 = 20*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x + 22*x - 9*x - 15*x + 21*x.\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let v = 2.22 + -0.02. Let f = v + p. Round f to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12854 divided by -6427\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*o - 28*o + 88*o**3 - 108*o + 3*o**2 - 4*o**2 - 41*o wrt o?\nAnswer: 528*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -1, -321, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800227593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + t + 7. Let q(m) = -2*m**2 - m - 5. Calculate 5*k(w) + 7*q(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 + 305. Put 0, b, -2, -1 in increasing order.\nAnswer: b, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omx when three letters picked without replacement from xxoim.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-63) - 20\/30*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 19 + -21 - ((65 - -1) + -9).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/15)*y*(y\/y**13*y)\/y)**(-40) assuming y is positive.\nAnswer: y**(1312\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 365870*z**2 - 365871*z**2 + 0*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:34 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/346287 (b) -1 (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17916*m**2 - 302*m - 17913*m**2 - 523*m + 1170 + 61*m + 173*m.\nAnswer: 3*(m - 195)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -322 - -324. Solve 11*h + a - 17 = 15*h, -1 = i*h + a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 23*b - 22*b + 43*b + 2*b**2 - 93*b**3 as n*b**2 + h*b**4 + j*b**3 + t + w*b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 25446095.4 to the nearest one hundred thousand.\nAnswer: 25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -30, -38, -30, 0, 58?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, 2\/5, -3\/4, 1\/8, 1\/5.\nAnswer: -549, -3\/4, 1\/8, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/20)\/((-6)\/(-40)). Let s be v\/40 - 1052\/(-5). Suppose 0 = -5*y - 5*y + s. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 5941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 15*g**2 + 2030*g - 16177. Give a(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013520*b + 2013522*b + 12*g - 82 = 0, -3*b + 32 = 5*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdhhddzdhhdz. Give prob of picking 1 d and 3 z.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)*x**10\/x)**(16\/11)*x**5\/(((x\/(x\/x**(-2\/9))*x)\/x)\/x)*x**(-4)*x*x**(-6) assuming x is positive.\nAnswer: x**(-419\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57941 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2171\/128353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 695325140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q - 2. Let g be t(-3). Let w be (-5 - -11 - 10)*((-247)\/2 + -3). What is the highest common divisor of w and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 9*k**2 - 3*k - 17. Let g be h(-9). Let q be g\/4 - (-7)\/14. Put -3, q, -1 in decreasing order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 + 42\/(-63). Let p be ((-22)\/(-4))\/(-11)*d. Suppose 2*v - 15 = 15. Solve p*r + r = 5, -5*r = -5*g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.45 (b) 0.1 (c) 1 (d) 0.0131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80741537 is divided by 10092690?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(45) + sqrt(45))*3.\nAnswer: -3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -3 + 2.\nAnswer: -1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 249 + 26. Let u = p - 272. Let s(z) = -2*z. Let d(h) = -h**2 + h. Calculate u*d(k) + s(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*4*(sqrt(1300) - (0 + sqrt(1300)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -591 + 4?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5 - 16*a**4 + 4*a**3 + 32*a**2 - 2*a - 16 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2244291 or -24687216\/11?\nAnswer: -2244291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 6*k**5 + 3*k**5 + 0*k**4 + 0*k**4 + 2*k**5 + (-3*k**2 + 3*k**2 - k**2)*(-k**3 + 2*k**3 + 3*k**3).\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2))\/(2\/10). Suppose -u - 18*u + 16 + 41 = 0. Suppose -q*g + 113 = -u*i + 3125, -4*i + 3*g + 4027 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 y when four letters picked without replacement from {u: 3, y: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45\/27*7\/(35\/24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 4.7.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-448)\/(-21))\/16)\/(6\/9). Let s(w) = 8*w**2 - w + 3. Determine s(z).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166563304?\nAnswer: 2, 20820413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -40*c - 374. Give h(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 2. Let j be q(-2). Suppose j*d = 2 + 2. Suppose 4*l + 5*a = 22, d*l - l + 3*a - 9 = 0. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lndgnnnnn. What is prob of picking 2 n and 1 d?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248.1045605 - -66.1045496. Let h = 4.38 + 177.62. Let o = h + w. Round o to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 140. Suppose -10*z + 4*z + i = 0. Solve 0 = -3*b + r - 6 + 2, 2*b + z = 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1579 = h - 259, 5*l + 9100 = 5*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*r**2 - 12*r**2 - 34*r**2 + (0*r + 2*r + 0*r)*(r - r - 2*r) + (-8 + r + 6 + 16*r)*(2*r - 5 + 5).\nAnswer: r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-10) + (408\/170)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 112731910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561 - 570. Put 3, 5, y, 2\/5 in ascending order.\nAnswer: y, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*n + 12*n + 3 - 5.\nAnswer: 9*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33\/1330 in 85\/4, 3\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7051*z**3 - z**2 - 2*z - 32. Let h be i(8). What is h rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = n + 5*s + 35, -63*n + 4*s = -70*n - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754*i**2\/5 + 64096*i\/5 + 102 = 0. Calculate i.\nAnswer: -85, -3\/377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2545*s - 30540. Let j(o) = -20. What is 1527*j(m) - q(m)?\nAnswer: -2545*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q. Let v be w(-3). Suppose 0*b - 3*b = 3*y - v, 2*b - 3*y = -19. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3140240 is divided by 628047.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2694096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3 + 121*h**2 - 268*h + 76 = 0.\nAnswer: 1\/3, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 643*s**3 - 242*s**2 - 628*s**3 + 236*s**2 + 2*s - 4. Let f(w) = -31*w**3 + 13*w**2 - 4*w + 9. Determine -4*f(t) - 9*k(t).\nAnswer: -11*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -4*s, s = 4*z + 6*s - 1. What are the prime factors of (-17*(-3 - -4))\/z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-1) + 5 + -5. Suppose -5*w + 4*w = -5. Suppose b + 2*b - w = c, -2*c + 5*b - 7 = 0. What is the greatest common factor of y and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 66 - 190. Let s = f + 49. Let w = 149 - s. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57771616 by -14.\nAnswer: 4126544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -1 - (sqrt(187)*-2)\/sqrt(11))**2.\nAnswer: -20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/5120 and 59\/6346.\nAnswer: 16245760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215185251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 253*o**5\/30 - o**4\/8 + 137*o**3\/2 - 2707*o**2. Find the first derivative of n(b) wrt b.\nAnswer: 1012*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 25 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1340626*s**2 + 5*s - 4. Let w be v(4). Round w to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (13 + 0)) + -264 + 319 + (0 - -13).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, -2, 1, 7 in decreasing order.\nAnswer: 7, 1, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2398)\/9156*3\/11.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 55 = 2*g, 0 = -5*i + g + 230. Let c = 49 - i. Let b(o) = o**2 - 3*o - 4. Give b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596797.\nAnswer: 43, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2130 (base 6) to base 2\nAnswer: 111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 161*r + 1496. Give s(-10).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*g**2 - 2 + 10 + 21*g**2 + 0 as o*g**2 + l*g + v and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 295.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480085327 - 0.66?\nAnswer: 480085326.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + 2 + -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 2*a**2 - 3*a - 2. Suppose -325 = -22*o + 9*o. Suppose 27 - o = -h. Calculate l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -20?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11436274.5 rounded to the nearest one hundred thousand?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/((m\/((m\/(m\/m**12)*m)\/m))\/m)*((m*m\/(m\/m**(3\/4)))\/m)\/(m**6\/m) assuming m is positive.\nAnswer: m**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-684*t**2 + 684*t**2 + 20*t**3) - 3*t**3 + 4*t**3 - 3*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147720?\nAnswer: 2, 3, 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4617 = 2*d + 4625 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/(2\/3). Suppose -5*m = -n*m - 6. Let s be (-3)\/1*2\/(-9). What is the smallest value in 5, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 562*s - 60*s + 315 - 742 - 56*s wrt s?\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-45) + (-8)\/(-6). What is the second derivative of i*f**2 + f**2 + 10*f - 4*f**2 wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(20)\/(-6*2*sqrt(4)) - ((-1*sqrt(25))\/sqrt(5) + -2*sqrt(500)))**2.\nAnswer: 1575025\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (8 + (-2 - 3 - 0))) + -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:09 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/21*(-7)\/((-70)\/75). Let w be 792\/220 - 4\/v. Let b(o) = o + 1. Let c be b(3). Is w < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t - 2. Let a be h(2). Let o be 15\/a*(-3)\/2. What is the closest to -1 in -1\/10, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**3\/3 + 3*n**2 - 8*n + 28. Suppose 0 = 3*y + 9, 0*p + p = -2*y. Let q be (1 - 2)*p - 1. Give a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(567) + -4*sqrt(567)*-6) + 4)**2.\nAnswer: 9000*sqrt(7) + 8859391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266029, -532066, -798103, -1064140, -1330177, -1596214?\nAnswer: -1862251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvpkzkbkbzvzkbvkvvph. What is prob of sequence vb?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.018 - -21.018. Let g = 21.2 - f. What is the third biggest value in 1, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 20 = 4*n, n - 64*w = -67*w + 9 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9551.\nAnswer: 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u + 4*p = 7, 0 = 5*u - p - 27. Suppose -a + 1 = -u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6706459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 + -148. Solve 2*x - 1 = -0*x + t, 0 = -4*x - 3*t + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j**2 + 0)*(-3*j**3 + 0*j**3 + j**3) + (5*j + 0*j - 3*j)*(299*j**4 + 416*j**4 - 251*j**4) + 0 + 0 - j**5.\nAnswer: 931*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1\/6, 81, 7\/6, 38, 2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 50256.460313479?\nAnswer: -50260.460313479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4265 divide 1136605440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 37*o - 293. Calculate u(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83a9 - -220?\nAnswer: -8189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2430*k**3 - 3*k + 68 + 2*k**2 - 1209*k**3 + 3*k - 1203*k**3 as m*k**2 + d*k**3 + x + a*k and give x.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 7789?\nAnswer: -8\/7789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 + 5*s**4\/4 + 9*s**3 - 4*s**2 + 164*s. Let l be n(-8). Solve -6*a = 2*a + l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 10:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxzbpzp. What is prob of sequence zx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**6\/6 - 3*o**5 - 5*o**4\/2 + 20*o**3 - 20*o**2 + 85. Find i, given that q(i) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3303 = -a - 3291, -4*m = -109*a + 1324 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8) + ((-1491)\/(-168) - 24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -257 (b) -0.4 (c) 4\/3 (d) -11 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:26 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15501 = 5*y, 12388 = 4*y + 52*p - 48*p. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 40 = -16*v. Solve 0*c + 4*c - 4*i = 0, v*c + 4*i + 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70127 - 36860. Let n be -1 - (-14 + (1 - 1)). Suppose -n*m = -125762 + z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adjaadpjaanpq. Give prob of sequence ajpd.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q - 168 = 624. Sort q, 0.5, 0.2, -3 in increasing order.\nAnswer: q, -3, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 + 20.9. Let f = y + -17.00028. What is f rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.571 + -0.429. Put -6, h, -0.1 in decreasing order.\nAnswer: -0.1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 158 - 79 - 4*y**3 - 80 + 5*y in the form p*y + v + l*y**2 + r*y**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -272 - -4078\/15. Which is greater: 2\/7 or i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431102149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = 3063 + 7613. Let j = 1255 + i. What are the prime factors of j?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895 (base 10) to base 8.\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 118 = -4*o - o, -4*o - 2*z = 100. Let c be (-1)\/6 - 28\/o. Solve 2*s - c = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/540 - 0\/(-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.03173 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10585391, -10585318, -10585245, -10585172, -10585099, -10585026?\nAnswer: -10584953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + l**2 - 2*l**2 - 14*l**2 + 5*l**2 + 16*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 94*z - 26*z**2 + 191*z - 2*z**4 + 6*z**4 - 99*z as s + n*z + r*z**3 + b*z**2 + h*z**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -45. Let i(n) be the third derivative of g + 0*n**4 - n**2 + 1\/60*n**6 + 0*n**5 + 1\/2*n**3 + 0*n. Differentiate i(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, 40\/91 in descending order.\nAnswer: 40\/91, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79975258 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 15 - (-56)\/(-70)*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4791647 by -12.\nAnswer: -4791647\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8833 + 9072. Solve 0 = 37*s + w - 17 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 34*u - 39. Let d(x) = -x**3 - 6*x**2 + 3*x + 22. Let y be d(-5). Let i be m(y). Which is the third smallest value? (a) i (b) -2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/5 + 11772*l\/5.\nAnswer: -4*l*(l - 2943)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -940 - -1162. Which is the third smallest value? (a) k (b) 1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 21 = -21*h. Solve k - 4*y + 3*y = 5, h*k + 4*y = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 25 - 2*m + 5*m**2 + m + 2*m**2 to h*m**2 + v + p*m and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8465732 + -0.3\nAnswer: 8465731.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143 - 113?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.4. Let t = 17\/55 + 1\/11. Put g, t, 3 in descending order.\nAnswer: 3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 - (-2 + 5) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -0.23 (c) 1\/343 (d) -0.11 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -0.2. Let s = -2 - p. Let z = -1687 + 1682. Put -0.4, s, z in descending order.\nAnswer: s, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d9 (base 15) to base 8.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/403 + 1760\/14911. What is the nearest to s in -0.4, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1142?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = -s - 5*l, -71*l - 355 = s - 67*l. Are s and -370 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-14) - 2) + 12\/42. Suppose h - 6*h + 50 = q. Suppose i - 17 = -4*g, 5*g = i + 26 - 7. Calculate the greatest common divisor of g and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (0 + 2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 5*k - 4*q, 3*k + 3*q = k - 38. Let u = -11 - k. Solve -8 = 4*c + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 5 (b) 0.44 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3106, -2, 0, 1, -5.\nAnswer: -5, -2, 0, 1, 3106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15106)\/(-2158) - (-761)\/(-109).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 9:32 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 1 - 16) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1252900 and 2129930?\nAnswer: 21299300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1263.33.\nAnswer: 3789.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 13.973. Let u = 0.327 + m. Which is the second biggest value? (a) u (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 - 101*g + 6. Let x be m(10). Find the common denominator of -137\/30 and (-87)\/30*x*6\/80.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n**3 - 9*n**2 - 4*n - 2. Let k(r) = r**3 - 2*r**2 - r. Calculate i(a) - 4*k(a).\nAnswer: 4*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -50. Suppose 0 = -g - 0*g. What is the closest to g in 1\/5, b, 2\/21, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 8 + 2*n**4 - n**4 - n**2 - 10 + 4*n**2 to the form s*n**3 + x*n + c*n**4 + f*n**2 + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*o - 88, 2*w = -5*o - 0*w + 110. Let p be ((-166)\/4)\/((-11)\/o). Suppose 4*q - 379 = -p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1722240374 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/35)\/((-2)\/(-50)). Suppose 6*n = n + b. List the prime factors of 1\/((-2)\/((-24)\/n)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*12\/180*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 241461.864ms in days?\nAnswer: 0.0027946975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 113928, 0, 2, -1 in increasing order.\nAnswer: -1, 0, 2, 5, 113928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 43*p + 2. What is the units digit of h(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/74520*-30*-2*(-2)\/(-2).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.481 and -139721.\nAnswer: 67205.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110975*v**4 + 63*v**2 - 8*v - 175.\nAnswer: -2663400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85555 divided by 5.\nAnswer: 17111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 1175*x - 590*x - 585*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d + 3. Suppose -5*j = -2*w + 8, -j - 4 = w - 1. Let s(y) = 3*y + 6. Let n be s(j). Determine m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 52419 in descending order.\nAnswer: 52419, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, 13 in ascending order.\nAnswer: -2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24dc + b8?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.9 + -7.9. What is the closest to y in 0, -2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 3*c - 2. Let o be b(-2). Solve t = -3*t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/(w**5*w)*w))\/w)*(w*w\/(w**6*w))\/w*w)\/(w**(-1\/3))**35)\/((w**(2\/7)*w**2)\/((w\/(w**(-2)\/w*w*w))\/((w\/(w**3\/w))\/w*w))) assuming w is positive.\nAnswer: w**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - 4*a**2)*(a**2 - 3*a**2 + 4*a**2)*(90 + 92 - 44*a - 177).\nAnswer: 88*a**5 - 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47663918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4*s. Suppose 0 = 2*f + 3*b - 10, 3*f = 2*f - 3*b + 11. Let o be -2 + -1 - f\/1. What is the units digit of p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 52. Which is the closest to 2\/21? (a) g (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43 + -49 + 13 + 3\/3. What is the greatest common factor of v and 1668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -10*s + 4, 6 = -2*b - 44*s + 46*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27816 = -267*l - 53922 + 31446 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 + -1 + 4 - 8) + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 512c (base 15) to base 13\nAnswer: 7a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19079 + 60855 = -623*l + 18257 for l.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.02 and 0.038.\nAnswer: 0.49476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 5*x)*(1 - 4 + 1).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12844? (a) 16 (b) -3\/4 (c) 5 (d) 1\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62.3 - 65.2. Let i = -0.4 - -3.4. Let a = i + n. Which is smaller: a or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676393837 to the nearest integer?\nAnswer: 26008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 4 - -23) + 17 - 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/6 - 92*s**4\/3 - 3271*s**3\/2 - 20763*s**2 - 83664*s - 105840 = 0.\nAnswer: -84, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**2 + 4*n**2 - 6*n**2)*(-2 - 2 + 6)*(2*n - n + 0*n) as x + w*n + a*n**2 + v*n**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.2, 205, 1\/2 in increasing order.\nAnswer: -0.2, -0.1, 1\/2, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9)*(-18)\/(-4). Find the third derivative of -2*j**2 - 3*j**h + 6*j**6 + 0*j**2 wrt j.\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(288)\/sqrt(6) - sqrt(48)) + -1)**2 + 5 + (-2 + sqrt(27))*2.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -13. Factor 24*k**2 - 4 + 2*k - 3*k - p*k**3 - 5*k.\nAnswer: -2*(k - 1)**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-16)*(-8)\/(-2). What is the greatest common factor of 250 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10914675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2)\/(-3) + -4. Let h = r - -9. Suppose j**2 + 0*j**2 + j**3 - 3*j**2 - 3*j**h = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*t - 8 = 0. Let j be 2\/(14\/t + 4). Let x(s) = s**2 - 3*s - 6. Let w be x(5). Solve -j*u + n = -10, -w*u = -3*u + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 take away -4.234?\nAnswer: -236.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 232?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*(-4)\/(-112)*(-7)\/(-24) and 95\/258.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61240702 is divided by 30651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1524149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 10)*(-1)\/(-2). Factor -9*v**2 - 11*v**3 + 2*v**3 + 0*v**2 - 3*v - v**k - 2*v**4.\nAnswer: -3*v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 1, u: 1, v: 2, i: 4}. What is prob of sequence iu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -111100010 (base 2) to base 14\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 115 + 473. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = -4*b - 5*m, 3*m = -9. Let h(u) = 3*u**3 + u**2 + 3 - 2*u**3 - 4*u**2 - b*u**2 - 7*u. Give h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38.2964117 and -5608.\nAnswer: -5646.2964117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + (-2 - 6\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 179*g - 175*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 r = 108049 - 70772. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 - (15 - 11)) - 3 - -38?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c + 138. Let y be j(-18). Let k = -479 + y. Calculate the greatest common factor of k and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + -25.89. Let l = t - -25.9999996. What is l rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 18. Let v = 1 + n. Let r = 20 - v. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12752554.\nAnswer: 2, 151, 42227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/378 and 115\/7056?\nAnswer: 21168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -2. Suppose 5*y - 22 = -0*c - l*c, y = 2*c - 46. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) - (sqrt(245) + -5)) + sqrt(245) + -4 + sqrt(245) + (sqrt(550)\/sqrt(1210))\/sqrt(11))**2.\nAnswer: 464*sqrt(5)\/11 + 269241\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 8*k**2 + 11*k + 6. Let m be s(-9). Let w(h) = -3*h - 18. Calculate the lowest common multiple of 6 and w(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228) + -1*sqrt(228)*-6 + sqrt(228) + sqrt(228) + (sqrt(228) - -2*sqrt(228)*-6))\/(sqrt(72)\/(1*sqrt(726))) + -5)**2.\nAnswer: 110*sqrt(19) + 2324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-17)*i*i\/(i\/(i**27\/i)*i*i*i*i))\/((i*i*i**(4\/13))\/i)**(-39\/2))**(1\/51) assuming i is positive.\nAnswer: i**(21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 7*o**2 + 10*o**2 + 31*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, 13, 0.3?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4159, 3757, 3355, 2953, 2551, 2149?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.03669 millilitres?\nAnswer: 0.00803669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + 3 + 2))**2.\nAnswer: 250*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**3*y**3 - 2*o**3 - o*y**3 - 121*o*y wrt y?\nAnswer: -30*o**3*y - 6*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -101*z + 951. Determine q(9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - r**3 + 7*r**3)*(3 + 1 - 2)*(0 + 3 - 1) + 4*r**3 + 0*r**3 + r**3.\nAnswer: 41*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1255 - 782. Let q = s + -66. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193930 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 434744520*n**2*r - 50077514*n + 4*r wrt n.\nAnswer: 869489040*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11176 - 11162. Let j(n) = n**2 + 3*n - 4. Calculate the smallest common multiple of j(-6) and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-14)\/(-8) - 1). Let t = -14 - -5. Let y = 5 + t. Is j not equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**3 + 1471830*c**2 - 8300376 wrt c?\nAnswer: 9*c**2 + 2943660*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 2*o + 4*o)*(3*o + 5*o - 2*o + 8 - 8 + 16*o + (-5 + 5 + 2)*(0 + 0 + 2*o)).\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10604\/23 or 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 99. Calculate the remainder when 91 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12568 - 4575. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihaiaiiaaiaiiia. Give prob of picking 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 + 47 - 9*c - 2 - 21*c - 23*c.\nAnswer: -53*c + 444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -113, -1 in descending order.\nAnswer: -1, -6, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 2. Suppose -2*t + 7*b + 24 = 8*b, 2*b + 18 = 2*t. Let o(r) = -10*r + r + 0*r + t*r. Calculate o(g(x)).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g + 7. Let f(j) = j**2. Let m(z) = -b(z) + 2*f(z). Let t be m(-8). Solve t = -q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3451*s**2 - 53*s**3 + 3451*s**2)*(3*s + 0*s - s).\nAnswer: -106*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-1190)*10\/(-4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*i + 2979 = 0, -3*t = -5*t - 3*i + 1487. Calculate the remainder when t is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.93711 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10182329.\nAnswer: 769, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 3:06 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.6. Let q = -10.6 + -1.4. Let z = q - -13. Which is the nearest to 1? (a) z (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:04 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43793 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 595, 864, 1135?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765345.\nAnswer: 3, 5, 7, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -185*s. Let r(p) = 36*p. Give z(r(a)).\nAnswer: -6660*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306055 is divided by 793?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 956, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-30) - 46\/(-6). Let o(y) = -4*y + 30. Let l be o(k). Solve -3*s + 5*a = 30, l*s = 5*a - 26 + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7)*o*o\/(((o*o**(1\/3))\/o)\/o)*o*o**(2\/23)\/o*o**2)**(-1\/7) assuming o is positive.\nAnswer: o**(-2503\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -0.1 (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -0.1, -107, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + g**3 - 2*g**3 + (0*g**2 - 2*g**2 + 0*g**2)*(g - g - g) - 5*g**3 + 4*g**3 + 2*g**3 - 23*g**3 - 18*g**3 + 43*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 - 1844*g\/5.\nAnswer: -2*g*(g + 922)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:16 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k - 4. Let b(w) = -36*w - 290. Let a = 536 + -544. Let h be b(a). Calculate j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-1) + 212\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-7\/4)*o*o))\/o*o**(4\/3)\/o)**(-5) assuming o is positive.\nAnswer: o**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 12*p**3 + p**3 - p)*(p**2 + 0*p**2 + 0*p**2).\nAnswer: 13*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -71507 (base 13) in base 3?\nAnswer: -101022102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23280739\/18 + 1295429. Let t = 2056 - w. Find the common denominator of 49\/8 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 192 + -191.5. Let o = 6.5 - 2.6. Let b = -0.1 - o. What is the biggest value in -0.1, q, -3, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3e (base 15) to base 7\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 63 = -0*j - 9*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 5*m = -353, 2*v - 698*m - 702*m + 424 = -1394*m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 41*g**6\/30 + g**5\/15 - g**4\/6 - 2*g**2 - 53*g. Find the third derivative of v(f) wrt f.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 times 2222?\nAnswer: 653268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = 7. Let y = 309 - 308.9. What is the closest to 0 in y, w, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7748*j**3*m**3 + 5*j**3*z - j*z + 11275*m**3*z - 16364349*m**2 wrt m?\nAnswer: -46488*j**3 + 67650*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2571619?\nAnswer: 2571619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w. Let n be 5\/(1 + w + 0). Let t(f) = 2*f**2 - 6*f + 5. Is t(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5)*h*(h*h**0*h)\/h)\/(h**(-1)\/h)**(-4\/15))**37 assuming h is positive.\nAnswer: h**(4144\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -16 + 4. Sort -4, 3, y in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*w - 0*w + 8, 0 = -5*l + 5*w + 20. Let v = -6 + l. Does 3 divide (v - 1) + 7 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 34*j**2 - 3. Let s be b(6). Suppose -4*z - 814 = 3*y - 5*y, -5*z = 3*y - s. Suppose 2*f - r = y, 0*f + 1012 = 5*f + 3*r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 8, 25, -73 in increasing order.\nAnswer: -73, -4, 4, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 5*i + 10416, j - 2611 = 3*i. Let u be 23*(1 - -112 - 0). Find the second derivative of -j - 34*k**2 - 8*k + u wrt k.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose 8 = -o*l - 6. Let s = l - -18. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5707 to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 45, 197, 0.12, 0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3))\/(5\/(-45)). What is the greatest common factor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 69, 61, 53, 45?\n\"Answer: -8*d + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/15*(-10)\/(-4). Suppose k*w + 2*w = j - 18, 16 = -4*w. Let p = -283 - -286. Sort 1, 5, p, j in decreasing order.\nAnswer: 5, p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 - 648*z + 6. Let c(b) = -2*b**2 - 216*b + 2. Give -8*c(h) + 3*u(h).\nAnswer: h**2 - 216*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -2. Suppose -y - 2*v = 0, -2*y + 0*v - 3*v = 0. Put -4, y, h in descending order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 20 = 3*a. Let f = 14 + -9. Is f less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*((sqrt(539)*2)**2 - sqrt(539)) - sqrt(539) - sqrt(539)) - (-1 + (-1*sqrt(396))**2 + sqrt(1100) + (sqrt(1100) - -1*sqrt(1100))))*3.\nAnswer: -14127 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 z when four letters picked without replacement from zqkkzmzzmzqqk?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93271 is divided by 4855.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3938297 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*i + 88*i + 12. Which is the third smallest value? (a) -3 (b) -0.12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**13\/n**(2\/13))**(9\/4))**(-1\/8))**(-15\/8) assuming n is positive.\nAnswer: n**(22545\/3328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -1348?\nAnswer: 8\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 51*l**2 + 9028*l + 242. Calculate n(-177).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 7*r**2 - 11*r - 4. Let z be j(-5). Calculate the greatest common divisor of z and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -299*u + 24590. What is d(83)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(115\/40 - 3). Suppose -3*z - r*b + 62 = 0, -z - 5*b = -3 - 25. Suppose 0 = -z*x + 15*x + 42. Calculate the highest common divisor of 35 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -20, 2, -2, -4, -9 in descending order.\nAnswer: 18, 2, -2, -4, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21111001220022 - -20?\nAnswer: 21111001220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d**(2\/7)*d*d)\/d)*d*d\/d**(1\/3)*d*d**3\/(d**(-2\/9)\/d*d))**(7\/12))**(-13) assuming d is positive.\nAnswer: d**(-1352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - p**2 - 2 - p**2)*(-2*p + 0*p + 4*p)*(2*p - 3 + 3).\nAnswer: 4*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7376 - 3*o**2 + 1388*o**4 - 249288*o**3 + 249288*o**3 wrt o?\nAnswer: 5552*o**3 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 371 = -2329. Differentiate 11*t**3 + z + 2*t**2 - 43*t**3 + 9*t**3 + 11*t**3 + 14*t**3 with respect to t.\nAnswer: 6*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 7. Let c(t) = -2*t + 5. Let l = 16 - 23. Let i(p) = l*c(p) + 5*n(p). Let z(h) = -h + 5*h - 3*h. Give z(i(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1866, 15624, 52928, 125550, 245262, 423836?\n\"Answer: 1962*u**3 + u**2 + 21*u - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -149. Calculate the common denominator of 13\/18 and -3 + m + 618\/432.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.62. Let u = -4.5 + s. Let z = -4 - u. What is the nearest to z in 2\/17, -0.5, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 3*d - 3*d)*(2 + 0 + 1)*(-2 + 2 + 2)*(194*d - 284*d + 1233*d) in the form z*d + b + u*d**2 and give u.\nAnswer: 20574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2144127, 2144128, 2144129, 2144130?\nAnswer: 2144131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glglllglll. Give prob of picking 4 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -27. Let i(u) = -u**3 - 9*u**2 - 16*u - 13. Let z be i(-8). Suppose -54*c + 9 = -z*c. Solve 0*r = c*r + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 492*j - 824 - 21808. Solve -8*u - 10 = j for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263 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: Suppose -5*c = -25, 4*s - 92 = 3*s - c. Let q = s + -73. Suppose -q*k + 19*k - 110 = 0. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -2, -9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(39)\/sqrt(3) + 1.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 3*b + 39*r - 29*r - 98, 5*b - r = -85 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 22. Let w(y) = y**3 - 8*y**2 - 8*y - 1. Give w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18283 and 18001?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 129*d**2 - 5*d**3 - 129*d**2 + 0*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. Suppose y = g + 3*g - 16. Solve -2*x + 2 = g*n + 16, 15 = -3*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/((-4)\/6228). Let l = p + -495. Calculate the highest common divisor of 228 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63aa - 0?\nAnswer: -63aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(20*3\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -5\/14 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13960175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2636*w - 26233 = 13307 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -163, -0.5, -8, 0.07, 1\/4 in decreasing order.\nAnswer: 1\/2, 1\/4, 0.07, -0.5, -8, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -1327, -1581, -1745, -1807, -1755, -1577, -1261?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 + 6*j + 2. Let w(n) = 8*n**2 - 5*n - 2. Give -6*w(m) - 5*x(m).\nAnswer: -8*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u)**43*u**(6\/13)\/u*u*u**(2\/3) assuming u is positive.\nAnswer: u**(1721\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.569 + 33.2.\nAnswer: 76.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -18108 to the nearest one hundred.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4 - 24*l**3 - 68*l**2 + 24*l + 70 = 0.\nAnswer: -7, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 21*x - 2. Let g be u(9). Suppose 58*p = 63*p - g. Solve -p*s - 2*q - 15 = 0, 5*s - q - 2 = -17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*o = -20, -2*c - 8*o = -14 + 6. Suppose -4*n = -n + 12. Sort 3, 2, c, n.\nAnswer: n, 2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 236*b - 52165. What is f(221)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66264*t + 149975*t - 83715*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -9. Find the second derivative of -4*o - 3*o**i + 3*o + o**5 + 3*o wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1440\/28)\/(-9) - 4\/14*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h - 5. Let o = -5 - 2. Let i be c(o). Factor 0 + 0*l**2 - 2 + i*l**2.\nAnswer: 2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65352288 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35916543521 + 35916543521 + 6*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4457*h + 1800*h = 29227 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*z - 73*z - 501 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(2\/3))**(2\/83)\/(d\/(d*d\/(d*d\/(d*d\/(d*d\/(d*d*d*d**(-5\/2))))*d)))**(5\/6) assuming d is positive.\nAnswer: d**(-1181\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:09 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*b - 8, 7*g - 10 = 2*g. Let z(o) = -o**3 - o**2 - o. Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-10)*((-1)\/2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*c + 9*n - 4356458, -1452164 = -c + 5*n. Let y = c - 812154. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-326 + 0)*2\/(-24)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/48759 + -1575841\/6826260. What is the common denominator of -59\/6 and s?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83563 + -37275. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*z - 3*z + 1984, 0 = -z - 3*u + 663. Suppose -4*a + z = -a. What is the greatest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*l + 5*l - 140 = 0, 85 = 2*x - 5*l. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1266641, 5066583, 11399821, 20266355, 31666185, 45599311, 62065733?\n\"Answer: 1266648*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51\/2 + 251\/10. Which is the closest to 4? (a) 1 (b) 3 (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from {m: 3, a: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/65)\/(-2*(-2)\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6)*(-369)\/(-6). Suppose 3*g + 4*y - 56 = -0*y, -y = 5*g - o. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -5*(sqrt(156) + 1*sqrt(156) - sqrt(156)) - sqrt(156))\/((sqrt(132) - sqrt(132)*-1)\/sqrt(11) + sqrt(12) + sqrt(12))*-4.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g*v**3 + 34*g*v**2 - 4*g*v + 66*v**4 + v**2 - 1 wrt v.\nAnswer: -90*g + 1584*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10))\/((-1)\/6). Let p(u) = u**2 + 2*u + 1. Let a be p(-1). Suppose v*x + 2*x - 1435 = a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1419, 1418, 1417, 1416?\n\"Answer: -x + 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200 = 355*p - 330*p. What is the remainder when 610 is divided by p?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3944237059 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -315\/4 - -78. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/((sqrt(16)\/sqrt(4) + sqrt(4))*-2)*-4.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/40 - n**5\/20 - n**4\/2 + 2*n**3 + 2*n**2 - 12*n. Let h(t) = 0. Calculate t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130 (base 4) in base 2?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12 - 21\/(-9). Let g(k) = -7*k**v - 346*k + 346*k. Let f(b) = b**2. Determine g(f(u)).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z - 1. Calculate j(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -6. Suppose 6*s - 14*s = 0. Let v(m) = 2*m**3 + 8*m**2 - 2*m - 4. Let l be v(-4). Put z, l, s in descending order.\nAnswer: l, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26906 + -242434\/9. Which is greater: -0.07 or o?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*d + 50*d + 7. Let m be ((-75)\/30)\/(d\/2). Let u(s) = -s**2 + 6*s + 2. Determine u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0, -0.08, 0.4, 1.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 31. Does 7 divide (-728)\/(-24) - (-4)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113583663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3930 = -3*g + y, -15*y - 3930 = -3*g - 11*y. Let k = -608 + g. What is the remainder when k is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 4*j**2 + 3*j - 2. What is l(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32050 divided by -100.\nAnswer: -641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-6)\/(-180)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h + 2*p - 64, 4*h = 4*p + 40. Let q be 8*(-2 - (-10)\/4). Let r be (q\/5)\/(9\/45). Solve -h = -2*k + r*j, -5*k - 8 = -4*j - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16270139 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4 - 2088*r**3 - 269668*r**2 - 2216448*r + 5528336 = 0. What is r?\nAnswer: -311, -202, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9532843 - 175234.\nAnswer: -175233.0467157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 + 2*s**4 + 4*s**3 + (-8*s + 2*s - 5*s)*(5*s**3 - 3*s**3 + 0*s**3) to b*s**2 + j*s**4 + q*s**3 + t*s + x and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybyybyyyyyyyyyyyyyy. Give prob of picking 4 y.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 4*m + 14, 4*x = -4*m. Solve 2*z = 5*z - x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 5*o**2 - 5*o**2 + 2*o**2 + o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**2\/2 + 41. Let u(b) = b**2 - 30*b. What is u(l(m))?\nAnswer: m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -9. What is the second derivative of -j**4 + 3*j**p - 2*j - 4*j**4 wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Let x(o) = 3*o + 18. Let h be x(-6). Let y = n + h. Solve y - 1 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3732 - -3705. Which is the closest to 0.1? (a) 3 (b) -26 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -181, -281, -517, -943, -1613?\n\"Answer: -9*o**3 + 13*o**2 + 6*o - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, -0.2, 0, -0.142037.\nAnswer: -2, -0.2, -0.142037, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.9 (b) -1 (c) -6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3355 + 3?\nAnswer: 3361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 930 (b) 0 (c) -38 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 22*i - 1144. Suppose 18*x - i = -16. Determine a so that 0*a - 2\/7*a**x + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34764653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4\/7)\/w)\/w)\/w*(w**2*w)\/w)\/((w\/w**0*w)\/w)**(1\/5) assuming w is positive.\nAnswer: w**(-62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, z: 1, q: 4, l: 1, d: 1}. Give prob of picking 1 d and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 2. What is the nearest to -0.4 in -5, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111213620 to the power of 1\/2, to the nearest integer?\nAnswer: 10546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02284003284 to four decimal places.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 4*u + 11 - 6 + 7. Let v be r(-12). Calculate the highest common divisor of 264 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrryrr?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 3*h**2 - 19*h - 6. What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867793.9 days to hours.\nAnswer: 20827053.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 930419 and -0.271?\nAnswer: -252143.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-11 - -15) + -15 + 21 - 41)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 19 in descending order.\nAnswer: 19, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gagaa. What is prob of sequence aaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 533856?\nAnswer: -533858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -15. Suppose -11*w + 126 = -c*w. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 3, s: 3, e: 1, v: 3, a: 1}. Give prob of sequence lk.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 5:59 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47867 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*w - 16 + 37*w + 22 + 2*w + 13*w - 18*w.\nAnswer: -89*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3500.11um to centimeters.\nAnswer: 0.350011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 2*r)*(4 - 4 + 2 + (3 - 2 - 2)*(2 - 6 + 2) + 1 + 6 - 5)*(7*r + 1 - 9*r - 5*r).\nAnswer: -84*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40061 and 401968.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(12\/8*(-12)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 741*i**2*o*s - i**2*o + 36121*i**2*s*v**2 - 57*i*o*v + 2122*i*o + i + o*s*v**2 + 4*o*v**2 + 2*s*v wrt i?\nAnswer: 1482*o*s - 2*o + 72242*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003717206 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383708633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493195, 493200, 493209, 493222, 493239, 493260?\nAnswer: 493285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 42. Suppose -4*q = -34 - k. Suppose 2*m - 3*y = q, -4*m + y - 6 = -18. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p + 6820. Let d = 2017 + p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -4, 21, -0.6, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3824423 times -5\nAnswer: -19122115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 93 = 4*q - 127, 36*h - 356 = -q for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:05 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 46321 * -0.3\nAnswer: -13896.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 2*f = -11*c + 10, 18 = 3*c + 4*f. Differentiate 11*x + 40 + 186 - 134*x**c - 11*x - 41 wrt x.\nAnswer: -268*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -18*m + 6*m. Suppose -10*x + m*x = -0*x. Solve -5*h + x*h - 10 = 5*u, -7 = 2*u + 5*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 20735*b - 6765520.\nAnswer: 5*(b - 304)*(b + 4451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 5 - 5 + (-10 - 5*d + 10)*(-2 - 3 + 3) - 9*d - 47 + 47.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m + 39*m = -105. Suppose 0 = -4*k + i + 66, -i + 25 = 3*k - 28. Solve 8 = -m*z - k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = o + 45*z, 4*o + 2324*z - 176 = 2322*z for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l + 55. Let u be z(2). Let b(i) = 8*i**2 + 6*i + 54. What are the prime factors of b(u)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -30, -29, -28, -27, -26?\n\"Answer: w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 3. Suppose 4*v - 6 = 4*k + 2*v, 5*v - 15 = -5*k. Let d be x(k). Solve -2 = d*m - 5*u, 2*u - 8 = 4*m - 2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/11)\/((-24)\/(-132))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1210\/20)\/(2\/8). Suppose 5*c - b + 2 = 0. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -174*d - 151. Calculate the smallest common multiple of 265 and n(-3).\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -35*k**3 + 805935*k**2 + 140706270*k + 40136000 = 0.\nAnswer: -173, -2\/7, 23200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 97854?\nAnswer: 97854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624 divided by 208.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.746741mm in kilometers?\nAnswer: 0.000004746741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 31232191\nAnswer: -31232188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from jmmmmmmmmmmgmmmm.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3878.8 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 6*b - 1 - 6*b + b**2 - 1 + 1 + (b**2 - 2*b**2 + 3*b**2)*(-3 - 4 + 5).\nAnswer: -6*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -578*-0.92248\nAnswer: 533.19344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/((-57)\/76). Suppose -3*l + 6 = 5*j - 0, -2*l = p*j - 4. Suppose 5*n - 8 = n. Solve -18 = 4*f + l*a, 3*f - 2*a - n - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46 and 172844.8860393?\nAnswer: 172890.8860393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 4:02 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc749 + -b3?\nAnswer: -dc81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*f**2 + 322*f?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-21) - 16\/(-3). Suppose -2*z + 5 = -u. Suppose -60 - 5 = -z*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997383881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 48. Let k = h - -20.976. What is k rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 313*g + 5288. What is the thousands digit of s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43383173 to the nearest integer?\nAnswer: 6587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -38. What is the remainder when 198 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 7*p - 7. Let k be i(5). Suppose 3*z = 9 - k. Solve -z*q - 6 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, 15, 99, 199, 321?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -539 + 674 - (8 + 30).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 16 = -i, -394*i + 393*i = -2*w - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6064.14107 rounded to one decimal place?\nAnswer: -6064.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -4.06. Let x be (24\/10)\/((-15)\/(-500)). Let j = -81 + x. What is the nearest to j in -2\/7, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117400 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtgightiath. Give prob of picking 2 i.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**6\/10 - 72*t**5\/5 + 147*t**4\/2 - 148*t**3 + 297*t**2\/2 + 5656*t. Suppose m(c) = 0. Calculate c.\nAnswer: -99, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.2. Suppose 1 = -o - 5. Let y(a) = -a - 7. Let w be y(o). What is the nearest to p in w, 5\/6, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3378 - -3.8378. Which is the second biggest value? (a) 0.4 (b) -1\/310 (c) s (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 8*z. Let h be u(7). Let c(j) = 2*j**2 - 11*j + 9. Does 21 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1085 and 7245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*726*355\/56232\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, -4815 in increasing order.\nAnswer: -4815, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27668093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 44*w**2 + 54*w - 71. What is x(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24997.\nAnswer: 7, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -145450 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/(45 - 39). Suppose 20 = -0*s - 4*s. What is the third biggest value in s, 0.1, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/15 + 972*u**2\/5 - 82088*u + 117449392\/15.\nAnswer: -2*(u - 662)**2*(u - 134)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**2*z**3 + 16*c**2*z + 13*c*z**2 - 86*z**3 wrt z.\nAnswer: 24*c**2 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/137? (a) -0.09 (b) -2\/13 (c) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c - 30*c + 86*c - 39*c - 16.\nAnswer: -11*c - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 68*v - 3. Let b be u(-1). Let f = b - -83. Let w = 17 - f. Solve a - 3 = -w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196189436 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 2.6.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Let d(c) be the second derivative of 4*c**3\/3 + 14*c. Let l(b) = 2*d(b) + 5*u(b). Let q(v) = 10*v. Determine l(q(x)).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s - 7. Calculate p(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21, 67, 9.\nAnswer: 0, 9, 21, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*w*x**2 - h*w*x + h*w + 63*h*x**2 - 2*h*x + 48 wrt x.\nAnswer: 4*h*w*x - h*w + 126*h*x - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(475) + -2 - sqrt(475))*-6 - (1*sqrt(475) + 5 - (1*sqrt(475) + sqrt(475) + 4)**2))*4.\nAnswer: 300*sqrt(19) + 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {n: 2, e: 2, z: 4, j: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6541 = -92*m - 150*m + 719 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*m - 1252 - 1615 = 2043 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/78)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 15*m + 7. What is o(3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**2*f**3 + a**2*f**2 - 6*a*f**3 + 110595*a*f**2 + 861*f**3 wrt f?\nAnswer: -48*a**2 - 36*a + 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxhx when four letters picked without replacement from axsaxsaxxfaaxhqxah?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 16*u + 14. Let n(y) = y - 32. Let m be n(16). Let v be q(m). Suppose -10 = -v*f + 12*f. Solve t = 2*z - 1 + 11, -f = 3*t + z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1870)\/(-121)*2439\/4. Let f = 9419 - g. What is the common denominator of f and 17\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-329)\/1786*-95*(-168)\/60\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250.88 - 240. Let c = w + -10.9694. Let o = c + 59.7894. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -706768 * -194.\nAnswer: 137112992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3050.0351 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -314, 18, 330, 616, 870, 1086, 1258?\n\"Answer: -w**3 - 4*w**2 + 351*w - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92.3 - 92. Let l = 8611\/6692 - 1\/956. Which is the nearest to 1? (a) -4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*x - 100. Let c(w) = w**2 + 2*w - 13. Calculate the remainder when c(9) is divided by (x\/15)\/((-1)\/(-9)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -22 - 7*l - 1 - 3*l + 0*l. Let k be r(-4). Let i be 67 - (0 + 0 - 1). What is the highest common divisor of i and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10939 - 4177. List the prime factors of o.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43941 is divided by 4678?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179591799 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x - 12 = 0. Let p be (20\/4)\/(x\/(-12)). Let y = 16 - p. Let z(m) = -2*m - 4. What is z(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 55 = -3*x + 145, -25 = -3*b + 4*x. Calculate the greatest common divisor of 120 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a factor of 881520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(25612 - 25612 - 187*g)*(-2*g + g + 0*g) to the form w*g**2 + x + z*g and give w.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14248260 is divided by 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -637, -642, -633, -604, -549?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 14*y - 11*y)*(-18 + 18 + 2*y)*(-y - 4*y + y).\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 532*n**2. Let w(k) = -20485*k**2. Give c(w(y)).\nAnswer: 223245939700*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 0*x**2 - 9\/20*x**4 - 15 + 11\/15*x**3 + 2\/25*x**5 - 4\/5*x. Factor p(a).\nAnswer: (a - 2)**2*(a - 1)*(2*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8676\/(45\/5)*(-4 - 132\/(-16)) is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 80. Suppose 29 = 3*o - 1. Let n be 2\/o - 7656\/(-120). Calculate the greatest common divisor of n and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.11 + -19.11. What is the second biggest value in 0.4, -4, 29, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n + 1. Let q be s(4). Suppose -35 - 2 = 17*t - 3. Sort q, -3, t, 0.\nAnswer: -3, t, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let c = -41\/20 - -9\/5. Let w = 0.06 + 0.04. What is the nearest to w in c, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1146 - 813. Let m = w - 333.00000063. What is m rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -122436921 and 23815.\nAnswer: -122413106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*4)\/sqrt(4))\/(-1*sqrt(343)) + (sqrt(9)\/sqrt(3)*4 - 1*sqrt(363))**2*-2.\nAnswer: -294 - 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**2 + 2*w**2)*(5*w + 143*w + 31*w) + 0*w**4 + w**4 - 2*w**4 + (2*w - 4*w + 0*w)*(-2*w**2 + 2*w**2 - w**3) + 5*w**4 - 3*w**4 + 2*w**4.\nAnswer: 363*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -549 * -1.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 1. Let y(w) = -2*w - 8. Give 6*o(k) - y(k).\nAnswer: -4*k + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -86*o + 177*o - 104*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 513 = -527 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*u**2 + 945*u**2 - 3273*u**2.\nAnswer: -4131*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 2*y - 2, 4*y + 9 = -3*g. Let r be g - -1 - (-215 + 1). Find the common denominator of (r\/20)\/((-2)\/(-5)) and -44\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 1157 = 74*z + h, 4*h - 1564 = -4*z. Let y be -1 + 7*-25 + 1. Let r = y + z. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2823239 millennia to years.\nAnswer: 282.3239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 + 10)) + 0 + 2 + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49995893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 47*c - 51*c + 4 = 0, 0 = 2*d - 3*c - 14. What is the nearest to -1 in -2, d, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39775\/4625)\/((-3)\/15)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -5.1. Let f be (16\/20)\/((-6)\/30). Suppose -2*v - 1 = -v. Sort v, 3, f, j in descending order.\nAnswer: j, 3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -769*-1*(-5 + 6 + 0). Is n at least as big as 771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*g - 4*s - 22, -4*s + 35 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840539201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-4 - 3) + 4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*o - 18*o + 10*o + 7)*(-5 + 4*o + 5) as t*o**2 + b*o + y and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d - 235. Determine z(-60).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 6. Let s(j) = 5*j + 5. Suppose -38*a = -3*z - 36*a - 6, -a - 4 = 2*z. Determine z*s(l) + 3*c(l).\nAnswer: 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17190 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24887645*u + 20545918.\nAnswer: -24887645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**6\/60 + 13*l**5\/20 - 3*l**4\/4 - 17*l**3\/6 - 58*l**2. Let w be d(19). Solve -6*y = -w*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3276 + 3279. What is the second biggest value in 110, 5\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*w + 228, w - 7*q - 43 = -5*q. Let j be 17\/2 - (-1)\/2. What is the greatest common divisor of j and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*k - 1\/5*k**4 + 2\/5*k**3 + 0 + 1\/5*k**2 = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2737*v**3 - 1366*v**3 - 1370*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 9*t + 30. Let v(b) = -104*b**2 + 27*b + 6. Let z(i) = 103*i**2 - 26*i - 5. Let n(c) = t*v(c) + 4*z(c). What is the second derivative of n(o) wrt o?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 6\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001111111111101 - 10?\nAnswer: -1111001111111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-93 + 74 + 11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 1, h: 4}. Give prob of sequence hw.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from fjjfffffjffjffjf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5222 - -5305) + (-9 - 1)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2670525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 492855 (base 11) to base 5\nAnswer: 144422123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 9:56 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10811 by 6.\nAnswer: -10811\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/31 or -1?\nAnswer: -14\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3*2\/(-36)*(-24)\/(-16))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*t = 541 - 2386 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3079716 divided by 2?\nAnswer: -1539858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19.99999974. What is w rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 0*t - 9*t = -110 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 4, g: 3, e: 1, f: 1, v: 1}. Give prob of picking 1 g and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46520, 46466, 46354, 46166, 45884, 45490?\n\"Answer: -3*v**3 - 11*v**2 + 46534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/12 - 4*v**3\/3 - 4*v**2 - v. Let f be j(-6). Factor 2*q**2 + f - 12 + 2*q**2 + 4*q.\nAnswer: 4*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438*f**3 + 14*f**2 wrt f.\nAnswer: -2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {e: 4, n: 6, b: 5, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/3 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -11 + (2 - -6) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77188, 75225, 73262, 71299, 69336?\n\"Answer: -1963*g + 79151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200343111 (base 6) to base 8.\nAnswer: 14732023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99378108?\nAnswer: 2, 3, 103, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 4*y - y**2 - 1 - 5*y. Let l be j(-1). Suppose 2*a + 5*t = 8, 5*t = -5*a + l + 34. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:03 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 2510?\nAnswer: 17570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h - 18. Suppose -h*y + 4*y = 12. Let o(z) = -67*z - 7. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(5*(sqrt(12)*-2 + sqrt(12) - sqrt(12))).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3648704 and 497824?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 70 = -490. Calculate the least common multiple of n and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -3*-2*sqrt(13)) - sqrt(26)\/sqrt(2)*6)**2 - (sqrt(26)\/sqrt(18) + (-1*sqrt(91))\/sqrt(7))*6.\nAnswer: 4*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 - 917\/5. Which is the second biggest value? (a) -2 (b) 4 (c) w (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.2 + -11. Let w = -3.56 + -0.14. Let n = w + y. Is 0 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1840.\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*p + 5*h, 87*p - 2*h = 93*p - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197863?\nAnswer: 17, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -41*l**3 - 208*l**2 - 33*l - 85. What is s(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 18*s + 398. Let r(n) = -11*n - 198. Determine -6*f(d) - 10*r(d).\nAnswer: 2*d - 408","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = -4*t, 24 = 5*t - 4*t + 5*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.44884528 + -5.4488449. Let k = -9 - -10. Let d = k - n. Round d to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z - 320*z + 5355 = 0. What is the greatest common divisor of 87 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 465\/330 - -3*4\/132?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3007 + 3007.01719. Round o to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902004688?\nAnswer: 2, 13, 197, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:40 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + 4*i**4)*(-4*i + 3*i + 5*i).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**8\/336 + m**4\/24 + m**2 - 4. Let j(s) be the second derivative of r(s). Find the second derivative of j(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230591 is divided by 180.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 57 - (-70 - -40) - (-1 - -13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17205125*d**2 - 853300*d - 10580 = 0. What is d?\nAnswer: -46\/1855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 223*d**9\/504 - 107*d**5\/60 - d**3\/6 - 1027*d**2. What is the third derivative of v(z) wrt z?\nAnswer: 26760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*2\/(-1380)*(-81)\/((-6642)\/(-328))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1275000*s**3 + s + 2. Let k be v(-2). What is k rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - 7\/(-4)*168\/(-70) and 4\/4 - (-34)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 38 = -6*f. Let i(d) = -9*d**3 - d**3 + 13 + 8*d**2 + f*d + 9*d**3. Let o be i(10). Solve 3*g = v - 9 - 6, -o*g - 27 = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -13 - 2. Suppose -6*x = 9 + q. Calculate the smallest common multiple of 5 and ((-2)\/4)\/(x\/32).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103744263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-8)*1 - (-46)\/(-16). What is the smallest value in -2\/3, 0.3, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 70157908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4625019288 to five dps.\nAnswer: 0.4625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -88 - (-25 + -17 - -58)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -971 + 5797\/6. What is the common denominator of p and 61\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8283900.97 rounded to the nearest ten thousand?\nAnswer: 8280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*d = 697 + 801, 0 = -4*d + 20. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 6573*j - 79462. Determine r(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -40*o**2 + 341*o + 1662. Give f(-5).\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 h, and 1 o when three letters picked without replacement from {o: 3, h: 1, c: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 527, 469, 399, 311, 199, 57, -121, -341?\n\"Answer: -a**3 - 51*a + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 49. Give r(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -73, -58, -43, -28, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14308)\/21 + 1\/3. Let h = u + 1238. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -5, -1.31, 33?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 16*q + 12. Give o(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17196\/223 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3626, -6702, -11832, -19016, -28254, -39546?\nAnswer: -52892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 6 (c) -17 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128 in 76\/9, 3\/2, 4, -24, -1?\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12 - -23) + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*c - 11. Let s(j) = j**3 + 12*j**2 - 12*j + 37. Is 2 a factor of s(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k + 0*k)*(1 - 1 + 2)*(2 - 2 + 1) to r + y*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 + 2*l + 5. Let q = 236 - 236. Let j be t(q). Solve 2*z = g + 5, -5*g + 4*z - 24 = -j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnxntn. Give prob of picking 1 t and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 32. Let k be q(14). Suppose -5*o - 3*t + 227 = -527, 12 = k*t. What is the units digit of 2*o\/(-1)*16\/(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2788*w**3\/3 - 204*w**2 + 3449. What is the second derivative of h(o) wrt o?\nAnswer: -5576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = i - 219, -11*i + 8*i = 5*u - 661. What is the least common multiple of 30 and i?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 60*n = -8. Solve -10 = -5*d + v, -3*v + 10 = 7*d - n*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191656 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28377.03 litres to millilitres.\nAnswer: 28377030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5337)\/(-290))\/(-9) + 6. Let k = w + 155\/29. Let i = 538 + -1568\/3. Find the common denominator of k and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4665074?\nAnswer: 2, 2332537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -3, -5 in descending order.\nAnswer: -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*(15\/5)\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 7 + 13. Which is the third biggest value? (a) g (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(204)*-2)\/(-5*sqrt(12)*-2).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89152*a**4 + 2*a**2 - 2338*a - 9?\nAnswer: -2139648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36 and -10 + ((-556)\/(-74))\/((-712)\/(-979))?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 59*g. Let i be 14\/49 - (0 + (-6)\/(-21)). Let z(b) = -2*b + 5*b - 5*b + i*b. Determine z(l(f)).\nAnswer: -118*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170031018 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/9 and -20\/1467.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6407135?\nAnswer: 5, 7, 61, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2422549 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -866845681*r**2 + 1133644098 wrt r.\nAnswer: -1733691362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 123*o + 613. What is the smallest common multiple of 36 and w(-5)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152249\/208335 - 66\/1615. Let i = s - 1\/43. Which is the closest to 2? (a) -1 (b) i (c) 2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(5\/(-30)). Solve 0 = 4*n - x*n - 3, -4*n = l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -17, -24, -29?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -143\/3. What is the nearest to p in -24, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/22)\/((1 + -2)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62665.06 - 5?\nAnswer: -62670.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37442, -37441, -37440, -37439, -37438?\nAnswer: -37437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (4*-4 - 0). Find the third derivative of -7*b**3 + 10*b**3 + b**2 + 6*b**3 - y*b**2 wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1) - (52 + -69).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) + 4*sqrt(2673))\/(1*sqrt(99) - sqrt(99) - sqrt(99)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3993*c + 7035 wrt c.\nAnswer: -3993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 + 55404*r**4 + 1549990*r**3 + 6808180*r**2 + 10405608*r + 5092016 = 0. What is r?\nAnswer: -27674, -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/14019 or 0?\nAnswer: 13\/14019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-4 - -6) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222978*v**2*y**2 + 5*v**2*y + 2*v**2 + 2*v*y - 5*v + 2*y**2 + 616 wrt v.\nAnswer: 445956*y**2 + 10*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from vezzzeeeezezmzeee.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/36*6\/35)\/(9\/84*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.3. Which is the closest to -1? (a) -2 (b) -2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*h**2 - 1191*h**3 + 17*h - 7*h + 1190*h**3 + 58*h**2 - 10*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + -4*sqrt(1944)*6 + sqrt(1944))\/(sqrt(32)*-5 - sqrt(8) - 3*(sqrt(8) + sqrt(40)\/sqrt(5)))*4)**2.\nAnswer: 1881792\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**0*a))**0*a**(-4)\/(a**0\/a) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-22)*z**(-17))**(2\/9) assuming z is positive.\nAnswer: z**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782*r**3 + 1827*r**3 - 3578*r**3.\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13461 and 36265857.\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -380647*b + 466033?\nAnswer: -380647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16148 + 4192 = 526*d + 491*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(112\/24))\/(7\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.102 in -512, -33, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469*c**4 + 239259*c**3 + 190*c**2 - 3*c + 11359 wrt c.\nAnswer: 11256*c + 1435554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + -1 + (sqrt(700) + (sqrt(700)*1 - sqrt(700)) + 3 + -5)**2)*2*-6 + 4.\nAnswer: -8504 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/5047 - 21594\/8110529. Sort y, 5, 2\/9, -3.\nAnswer: -3, y, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 879553.8m?\nAnswer: 879553800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31542 - -62368. Let s = r - 21165. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((1900266\/(-152))\/(-3))\/(1\/8)?\nAnswer: 2, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12952132+609.786\nAnswer: 12952741.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (51\/27 - 2)*-33*18. Suppose 4*i = -n + 66. Suppose 4*u - 14 = -0*u - 3*t, -u + 11 = -3*t. Sort u, i, -5 in increasing order.\nAnswer: -5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 245 - 979\/4. What is the second biggest value in x, -2\/9, -1\/220?\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/86, 0.03, -3, 0.19 in increasing order.\nAnswer: -4, -3, -1\/86, 0.03, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 1\/4 (c) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3887 = -5*d - 8423. Let y = d + 744. Let w = y - -2931. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 - -642\/7. Which is the second biggest value? (a) 1 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1844 divide 81110184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1647.\nAnswer: 8235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + 1*sqrt(1539) - (-1 + sqrt(1539))*4)**2 - (-3 + -4 + sqrt(304) + 1 + 5)**2.\nAnswer: 8*sqrt(19) + 13551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (840\/(-18))\/((-2)\/(-6)). Find the common denominator of (-133)\/k + 2\/8 and 56\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 350808180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -678*3\/18*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/4) - 1. Suppose -5*v + 19 = -f. Suppose q - 6*q = j, -4*j = -2*q. Solve l + l - v = j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.212, 0.4, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 185*v**2 - 3*v - 205. Let t(m) = -417*m**2 + 6*m + 411. Determine -4*t(h) - 9*w(h).\nAnswer: 3*h**2 + 3*h + 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -29*z**5\/60 - 23*z**4\/24 + 9*z**2. Find the second derivative of u(h) wrt h.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 372.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 - 8*j - 12. Let z be v(-9). Let w = z - -48. Suppose -w = -5*i - 2. Solve t + 18 = -4*f - t, i*t + 25 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/12 + 17016\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 3*t**2 - 9. Let u be j(-4). Find x, given that -3*x**3 - 3*x**2 + 0 + 10*x**4 + 0 - u*x**4 + 3*x**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 + 0?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 9 - 44 + 18 + 4*c + c**2 + 3*c**3 to d*c + l + i*c**3 + w*c**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -796, -722, -590, -394, -128, 214, 638, 1150?\n\"Answer: g**3 + 23*g**2 - 2*g - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9716 + 9822. Sort 2, z, 4.\nAnswer: 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 375\/(-30)*(-4)\/5. Calculate the greatest common factor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11216 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - b + 7, 0*b = -4*c + b + 11. Suppose 4*l - 26 = -o, 3*l = 3*o - 0*o - 3. Let z(f) = o*f - c*f - 5*f. Let p(k) = -3*k**2. Give p(z(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1577?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 31, -201, -667, -1421?\n\"Answer: -9*y**3 - 36*y**2 + 119*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 4*n + 2. Let l = 8 + -11. Let z be y(l). Suppose -4*x = -z + 16. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 12*j + 1. Let y = 223\/6 - 37. Sort j, y, 3, 0 in decreasing order.\nAnswer: 3, j, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59405*t**2 - 200*t**4 + 195*t**4 + 1586*t**3 - 496*t**3.\nAnswer: -5*t**2*(t - 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41700*m**3 + 125059*m**3 - 41689*m**3 - 41693*m**3.\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14\/529 - -6449\/23805. Calculate the common denominator of b and 26\/81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 12) to base 13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7147\/(-28) + 2\/8. What are the prime factors of (1 + 0\/3)\/((-3)\/k)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96070823 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from yugueygeueuguyuee.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*2\/(-4)*(21 + (-667)\/29). What is the second biggest value in -35, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) -6 (c) -0.07523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 16*t**2 + t + 82. Let l be o(6). Suppose 345 = a - 6*a. Let b = l - a. Is 10 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -57.652, -0.09.\nAnswer: -57.652, -13, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**4 - g**4 + 4*g + 4*g**4 + (-4 + 4 + 4*g**2)*(-3*g**2 + g**2 + g**2).\nAnswer: -6*g**4 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) + (-28)\/21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 453*m**2 + 3*m - 451*m**2 - 31 + 14*m + 7*m + 0*m. Determine d(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**4 - 4*p**3 - 1266*p - 1126?\nAnswer: 4*p**3 - 12*p**2 - 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 919*y**2 + 9495*y - 93. Calculate d(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-1 - 5 + 4)*(7 + 2 + 0)*((-2 + 4 - 1)*(-2 + 2 + d) - 9*d + 12*d + 6*d) to y + m*d and give m.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1. Let i(u) = -328*u - 2 + 5 + 327*u - 5. Let k(j) = 3*i(j) + 4*n(j). Let b(a) = a**2 + 2*a - 21. Let m be b(-6). What is k(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2747, 4, 5, 3, -2 in increasing order.\nAnswer: -2, 3, 4, 5, 2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-14)*(-1700)\/340?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*-1.5.\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 28, -16114, 0 in descending order.\nAnswer: 28, 3, 0, -2, -16114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {g: 3, b: 2, w: 13}.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*2\/6*-90*3\/288\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + 6. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30555504, 61111028, 91666552, 122222076, 152777600, 183333124?\nAnswer: 213888648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:22 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21223 is divided by 283?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18772728?\nAnswer: 2, 3, 13, 60169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 740 + 7899?\nAnswer: 8419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283.704115 rounded to the nearest ten?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.3 (c) 2 (d) -547 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koxx when four letters picked without replacement from oexmmmoxkxxmomt?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - -3)\/32)\/((-16)\/(-64)). Which is the nearest to -3? (a) 15 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -7 + -1 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/5 (c) -1527735\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-3*l**3 + 3*l**3 - 2*l**3 + (2 - 2 - l)*(-2*l**2 + 5*l**2 - 2*l**2) + l**3 - 4*l**3 + l**3 + l**2 - l**2 - l**3 - 7*l**3 - 3*l**2 + 3*l**2).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + -52 - (8 - 62).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(((-475)\/190)\/(45\/(-42)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6320640, -6320598, -6320556, -6320514, -6320472?\n\"Answer: 42*i - 6320682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247.1 + -223. Let z = -24 + o. What is the third smallest value in -2\/11, 0.8, z, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, 5*z = -b + 5 - 22. Suppose -25 = -10*x + 5*x. Calculate the common denominator of -89\/18 and b\/6 - (-3)\/(72\/x).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + i + 148*i + 447280 = 454672 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/5 - 1624*g**4 - 7008104*g**3\/5 + 500880576*g**2 - 190250727552*g\/5 = 0.\nAnswer: -2172, 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 3*c + 5. Let x(w) be the first derivative of w**3\/3 + w**2\/2 + w - 9. Let s(h) = -n(h) - 3*x(h). What is the derivative of s(u) wrt u?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 66*w + 8*w**3 - 64*w - 2*w**3 - 5.\nAnswer: 6*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 93774.19us?\nAnswer: 0.09377419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51392240 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 2:01 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73 - 2448*p**2 - 24*p**3 + 512*p**4 - 70 + 143 + 26*p**3 wrt p?\nAnswer: 12288*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -19. Sort b, 4, -4 in increasing order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3 + -4*sqrt(3) - (sqrt(99)\/sqrt(3) - sqrt(33))\/sqrt(11).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**4\/4 + 13*q**3\/3 - q**2\/2 - 7*q - 5. Is y(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.492 - -0.092. Let a be (-18)\/20 - (-7)\/14. What is the closest to a in w, 1\/2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -11*d**2. Suppose 6 = 3*t, 265*t = -5*m + 262*t + 8381. Let v = 6 + -4. Let l(j) = -m*j + v*j**2 + 1675*j. Determine l(p(y)).\nAnswer: 242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1708746268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26525880 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-54) - (-46)\/(-45)) + 158\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 0*i + 2*i - 2 - 2*i. Let f(s) = 2*s + 5. Let m = 119 - 122. What is m*f(v) - 8*n(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of ((-48)\/(-15))\/4*(-810)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481806168 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1611 - 42?\nAnswer: -1653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*u + 6 = -9, 5*p - 30 = 5*u. Let v = -18 - -30. Suppose -v = -p*k + 3. Calculate the greatest common factor of 27 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 0*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15213 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/6 + 470*p**3 + 213057*p**2\/2 - 1295278*p\/3 + 433642 = 0?\nAnswer: -2571, -253, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/21 (b) -1 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25951905 by -7.\nAnswer: -3707415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3. Let u be j(0). Let o = 13 - u. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-71)\/(-2))\/(1\/6). Let s = a + -861\/4. Let g = 2820 - 22519\/8. Find the common denominator of s and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**3 + 20*j**3 + 18*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Suppose 3*b - 159 = -3*l, 240 = 3*l + l - q*b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 174 = 5*g, 3*g + 14*k + 8*k = 23*k + 103 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4484 is divided by 204.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.51711 - -0.494. Round p to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463.999 - 464. Round i to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.21? (a) -2 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14*l**3 + 3*l**2 - 2*l - 1. Let f be t(1). Let b(w) = 5*w - 27. Let a be b(f). Suppose 36 - a = -h. Let n(m) = m**3 - 8*m**2 + 7*m + 3. What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33867 - -33888. Solve -t - 159 = -o - 156, -5*t = o + m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3864195?\nAnswer: 7728390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*19 + ((-2)\/129 - (-59949141)\/3053817)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j. Let o(g) = 2*g**2 - g. Let b = -1 + 11. Suppose -5 = -3*n + b. Suppose 3 = -n*d - 7. Determine d*a(l) + 2*o(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 + 6.3. What is the closest to 4 in 2, 5\/2, o, 3\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -21. Let w be 35\/p + 4\/(-6). Let f be -1 + 2 + w\/2. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -2 + -4 + 174. Let a = 343 - u. Calculate the greatest common factor of 35 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*k**3*v**2 + 7*g**2*k + g*k**3*v**2 - g*k**2 - 11*k*v**2 wrt k?\nAnswer: -12*g**2*v**2 + 6*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 10*n**4 - 9*n**4 - 76*n - 18*n**4 - 4*n**2 + 51*n**4 to c*n**3 + t*n + w*n**4 + f*n**2 + g and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 10, j: 9}. What is prob of sequence ubuj?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**3 + 5*k**2 + 9*k - 5. Let j(f) = 7*f**3 - 4*f**2 - 8*f + 4. Calculate -4*d(h) - 5*j(h).\nAnswer: -3*h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 24 = g + 2*f, -4*f - 20 = 0. Sort 7, -1, g, 4, 5 in ascending order.\nAnswer: -1, 4, 5, 7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4995, -22275, -55255, -107355, -181995, -282595, -412575, -575355?\nAnswer: -774355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171735.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -17. Suppose -4*s + 5*r + 295 = 0, 3*r + 12 = -r. What is the greatest common divisor of s and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y - 8*y + 170*y**3 + 7*y.\nAnswer: 170*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979071 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 2*v**3 - 8106*v**2 + 7955*v**2 + 190*v + 0 wrt v.\nAnswer: -12*v - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 4*n - 285. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 76 + 11660\/(-110).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 137.5. Let u = s - 18.7. Let y = -7 + 6.9. What is the third smallest value in y, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 19. Let r be c(-12). Let g(a) = 7*a - 18. Let z be g(3). Solve 5*h = 4*h - r*u - 20, z*h = 5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1948750421 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -161, -7, -1, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9553?\nAnswer: 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -507, -1116, -1799, -2592, -3531, -4652, -5991, -7584?\n\"Answer: -6*v**3 - v**2 - 564*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*a = -254*a - 257*a + 100966. What is the remainder when a is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003685021567 to six decimal places.\nAnswer: -0.003685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422491404*q**4 + 298647189*q.\nAnswer: -5069896848*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2988013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(30\/90)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(-47) assuming d is positive.\nAnswer: d**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 3 = 0. Let v(p) = 2 - p + 3*p - i. Let r(h) = h**2. Calculate v(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -65170 to the nearest 100.\nAnswer: -65200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5170 - -9222. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259218167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkkk when four letters picked without replacement from rrkrkkkkkkkk.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19439*b**3 - 42*b - 10154946 wrt b?\nAnswer: -58317*b**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.51 or -1568683?\nAnswer: -1568683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyuu. Give prob of picking 2 y and 2 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let y(w) = -19551024*w**2. Determine j(y(x)).\nAnswer: -58653072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Which is the second biggest value? (a) 4 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8 - 4 - d**2 - 6 + 7*d. Let o be f(6). Let s be 1 + (o + -3 + -3 - -16301). What is s rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/101 and -4\/11?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1770725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 3*p**2. Calculate the remainder when (-129 + (-54)\/9)*(-2)\/6 is divided by g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47104\/51520)\/((-8)\/(-10)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 10 - 2. What is the smallest common multiple of t and -2 - -3 - (0 - 10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 5. Let r = 41 - l. Solve -4*t - 22 = 2*f, -2*t - 5*f = -0*t + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -1, -19, -57, -121, -217?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -334193537*u**2 - 31705620 wrt u?\nAnswer: -668387074*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, -77822 in descending order.\nAnswer: 2, 0.2, -77822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 24*r**2 - 4*r + 2. Let q(y) = -49*y**2 + 7*y - 4. Let f(a) = -5*l(a) - 3*q(a). Let j be f(2). Calculate the greatest common divisor of 81 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 21. Let x(a) = 7*a - 42. Let v(z) = -5*o(z) + 2*x(z). Let j = 3 + 9. Calculate the remainder when v(j) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than 63454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -109c05 (base 14) in base 5?\nAnswer: -121034002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1789, -2, -3, -4, 0 in decreasing order.\nAnswer: 1789, 4, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 146*y**2 - 11*y - 1444. Calculate o(-146).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*x - 20 - 18*x**3 - 170*x.\nAnswer: -18*x**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/2 + m. Let d(h) = -h. Suppose 513*y - 900 = 363*y. Determine y*t(p) - 11*d(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/271080 and 29\/10.\nAnswer: 271080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouorerqoo. What is prob of sequence eroq?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 3*o + 647 = 130*j, 4*o - 77*j = -80*j + 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*3\/(105\/(-227353)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + f**2 - 32 - 2 - 12 - 25 as r*f**2 + x + h*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.456 * 0.031.\nAnswer: 1.223136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 49*z**2 + 44*z - 198. Let f be m(-48). Let s(a) = -5*a + 2. Let t(l) = 56*l - 22. Determine f*t(o) - 68*s(o).\nAnswer: 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = -122*a - 2554 - 4081 - 2977 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -52. Suppose -k*j + 5*h + 6 = 0, -3*j - 2*j + 18 = -h. Solve 2*g + 5 = 3*m + 22, 5*g - j*m = 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*z + 159, 0 = 2*z - 2*i - 100 - 2. Let n(j) = -j**2 + 23*j - 65. Calculate the remainder when z is divided by n(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -40 (c) -3 (d) 48 (e) 4 (f) 0.1 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, -42 in increasing order.\nAnswer: -42, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 16 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13642 and 12501098?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.364\nAnswer: -0.1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123099547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/12*(-8)\/2. Let i be ((-1)\/u)\/((-6)\/(-36)). What is the units digit of i\/(-8) + 710\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 3*f + 8, -5*s - 2*f = -11. Suppose 44 = -4*l + 5*a, 5*l = 3*a + s - 43. Let v(y) = 2*y + 6. Give v(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 917*k - 34. Let p be g(3). Suppose q = -5*a + 2713, -5*a + p = 33*q - 34*q. List the prime factors of a.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, -27, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 16 + 28. Let r(x) = -10*x**3 + 11*x + 11. Let k(h) be the first derivative of -1\/2*h**2 + 1\/4*h**4 + 0*h**3 - 1 - h. Give z*k(q) - 2*r(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.3, 3\/7, 0, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19385180, -19385183, -19385186, -19385189, -19385192, -19385195?\n\"Answer: -3*n - 19385177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 smaller than 0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15268 + 27206. What are the prime factors of o?\nAnswer: 2, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312030 (base 5) in base 16?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, 1 o, and 1 g when four letters picked without replacement from {z: 5, l: 3, g: 1, d: 1, o: 1, n: 2}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.892 and 0.4.\nAnswer: 1.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaciacciiaici. Give prob of sequence aca.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r\/(r*r**4))\/r*r)\/r))\/r**(-2\/5))\/(r**(-3)*r\/(r*r\/(r**(-2\/11)\/r*r*r)*r)) assuming r is positive.\nAnswer: r**(582\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1011000100010101110 (base 2) to base 5\nAnswer: 43101140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 12. Let x be p(-3). List the prime factors of ((-82)\/x)\/((-5)\/15).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.097546 rounded to two dps?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*n + 4*m = 238, 1235*m - 20 = -4*n + 1236*m for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353779.\nAnswer: 281, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffifgidddgfpfigcgg. What is prob of sequence gpig?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 64. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7559370 divided by 234\nAnswer: -32305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -18. Factor -32\/9*j**3 + 16\/3*j**g + 0 - 2*j.\nAnswer: -2*j*(4*j - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 minus -52486296654980?\nAnswer: 52486296654980.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 8825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*k - 4 = 121*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:11 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 2\/15 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443489454 a multiple of 657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 13\/1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-7)*s*s\/((s*(s**(-15)\/s*s)\/s)\/s*s*s*s))\/(s*s**(2\/9)*s*s**1\/s) assuming s is positive.\nAnswer: s**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 0.5, -30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let u = -3.5 - -3. Which is the nearest to 0? (a) 0.3 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -779)\/(-3) + -2. Let a = -150 - v. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 231.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (-27 - -3) - (-30 - -23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 20. Solve 4*y + j + 0 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72385486 take away -1243?\nAnswer: -72384243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 x, and 1 p when four letters picked without replacement from {v: 1, o: 1, p: 3, x: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -10. Let j = z - 25.4. Which is the second biggest value? (a) 8 (b) 0.1 (c) j (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 585581*n + 498176.\nAnswer: 585581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 25 = -7*l + 2*l, 3*l - 15 = -5*r. Solve 3*a + 10 + 2 = 0, 4*a = -l*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/12*(-8)\/1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*j + 0*j = -49, 2*j - 54 = -3*c. Suppose 4*w + 2*v - c = 0, -4*w - v = 5 - 29. Solve -w = s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68980?\nAnswer: 2, 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/(((-3458)\/156)\/(-19))*(-1)\/125.\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 243?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 + 1. Let t = -2 - 3. Let f be m(t). Solve 0 = -2*d - 4*r, -5*d + 5*r + f = 2*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 22.97. Let o = -0.03 + h. Which is the second biggest value? (a) o (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -3 - -1 - 0. Suppose i + y*v - 35 = 0, -i = -5*v - 21 - 49. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Suppose 5 = r - b, 0*b - 45 = -l*r + b. Let o(v) = -2*v**2 - 32*v - 110. Calculate the least common multiple of o(-10) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*u + 14*u + 18*u)*(u**2 + 3*u - 3*u)*(-6*u - 5*u + 7*u).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 4744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-3)\/3) + 10. Suppose d + f + 2 = 0. Let m = d - -25. Are 9 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**4 + 4*a**3 + 9. Let w(q) = -5*q**4 - 11*q**3 - 26. Let s(j) = -11*d(j) - 4*w(j). Differentiate s(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, e: 1, b: 1, a: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6443278 (base 10) to base 11\nAnswer: 3700a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -737*c**3\/6 + 304*c**2 - 205*c. Differentiate j(s) wrt s.\nAnswer: -737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 23240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(6 - 3 + 0)*(d + 3*d - 2*d) to i*d + m and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2253857844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3163.3 * -2125.\nAnswer: 6722012.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(-n - n + n) + (-9 - 2 - 2)*(2*n + n - n) to the form s + a*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1381, -1421, -1459, -1495?\n\"Answer: u**2 - 43*u - 1339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40559\/17 - 2385. Calculate the common denominator of c and (-65)\/(-8) + -1 - -1.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141183 is divided by 400?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3727683 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, -2, 0.27.\nAnswer: -2, -1, 1\/7, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6907.\nAnswer: 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2 + 16*d + 3. Let o(n) = 7*n**2 - 11*n - 2. Let j = 4 - -1. Let p(s) = j*v(s) + 8*o(s). Let h = 14126 + -14120. What is p(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*h - 3, -3*h - 3 = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) -2 (c) -1\/2 (d) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from fmqgfgqmgmqqmgqggmg.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 6. Suppose 34 + 61 = h*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45240 or -44952?\nAnswer: -44952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/8 - 5\/5)*(-273552)\/82.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 28 = -3*r, 5*r - 3*o = 435 - 425 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3859823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*a - 188 + 638, 3*a - 98 = -h. Suppose -185 = -5*t + 5*q, 5*q - h = -3*t + 49. Suppose -b + t = b. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -42?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/5 - 6*l**3 - 56*l**2\/5 = 0.\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by 107440.\nAnswer: 3\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d**(-1)\/d)*d)\/d)**(-50)\/(d**2\/d)**(-11))**(-8\/7) assuming d is positive.\nAnswer: d**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 19. Let z = u + -6. What is the tens digit of (5\/z - 2)*-60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 8. What is the remainder when z(-7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/63)\/((-4)\/(-7))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:36 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -13, 1\/10 in descending order.\nAnswer: 1\/10, -1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 692 + -220. Suppose m = r - 461. Calculate the greatest common factor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 - 249. Solve 5*q + i + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 4659754*k - 4659755.\nAnswer: (k - 4659755)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81742 is divided by 152.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 y when three letters picked without replacement from yyryryqyryrrryyyry.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(9\/5)*n))**39)**(-42) assuming n is positive.\nAnswer: n**(22932\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 + 4*v. Let r be p(-3). Let o(z) be the first derivative of z**4\/4 - z**3\/3 - z**2 - 11. Let c be o(0). Solve -d + r - 1 = c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**5 + 3*n**4 + 33*n**3 + 30*n**2 + 3. Let x(f) = f**5 + f**4 + 2*f**3 - 1. Let j be -2*(4 + (-5)\/2). Let c(o) = j*x(o) - u(o). Factor c(z).\nAnswer: 3*z**2*(z - 5)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 46 (c) 2 (d) 3 (e) 90214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 69*z**2 + 1058*z + 40. Give n(-46).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535ba (base 12) to base 13.\nAnswer: -3ac36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -29*h + 16*h. Let m = 100 - h. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*r + 1)*(-2*r**2 - 1 + 1) + 3*r**3 + 0*r**3 - 2*r**3 + 0*r**3 + 4*r**3 - 3*r**3 - 4*r**3 + 0*r**3 + 2*r**3 - 19*r**2 + r**3 + 5*r**2 - 14*r**2.\nAnswer: -3*r**3 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h. Let d = -0.8 + 0.6. Which is the biggest value? (a) h (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8649645 is divided by 16602.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (189\/12)\/(-7)*(-16)\/6. Calculate the common denominator of -43\/4 and (-15035)\/(-186)*x\/(-160).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5577 + 1114315?\nAnswer: 1122114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.1 + 3.1. Let l = 6.068 + h. Let t = -0.0679929 + l. Round t to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 110110?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1587 = 5*f - 1358, 0 = -f + 5*d + 583. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 8. Does 3 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 251 - 152 - (-4 - -6 - (-12 - -4)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**3 + d**2 + d. Suppose -2*s - w = -4, 28 = 3*s - w - 3*w. Suppose -2*v = -4*h + 3*h, 3*h = 2*v - s. Does 4 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-18) + (-2)\/(-6). Let m be u\/(-7)*(-7)\/(-6). What is the second smallest value in -3, m, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - i + l, -2*l = 2*i - 6. Suppose -i*m + 3*b - 182 = 0, 4*b - 190 = 3*m - 72. Let c = -47 - m. Which is smaller: c or -35\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = -4*p. Suppose -4*j + 85 = p*o - j, -175 = -3*o + 5*j. Let r = -103\/2 + o. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200878070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 62. Let n(l) = -l - 1. Let h be n(d). Is (-7 - -8)\/(h\/(-1157)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2786, 0.3?\nAnswer: -2786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 - 8 = 0. Let a be 2\/(-4)*-2 - (-5 + c). Let n = a - -28. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 134 = -4*r - s, r - 4*s - 23 = 0. Let u = 31 - r. Suppose u = 11*h - 9*h - 374. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52 or -364?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/6, -0.5, -86\/3, 2.1, 5\/3, 0.4, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let y = -0.416 + -0.084. Let m = -37\/4 + 9. Which is the closest to 2? (a) m (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*75*4\/24. Suppose 5*h - l = 5*c - 6*c, -2*c = -4*h + 6. Solve -c*y + 0 = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from opoplllpwopoppwprr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 41*f = -94. Let b = f - 44. What is y in b*y**2 + 42*y + 104 + 6 - 7 + 44 = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 2*y - 52, 116 = 4*y + m. What is the remainder when 55 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*w - 252*i - 200*w - 158 wrt w.\nAnswer: 2*i - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c = -70*c + 19600. Is c a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b + 16 = -4*h, 0 = -4*h - 3*b - 20. Let g = -109 - -106. Sort g, 4, h in descending order.\nAnswer: 4, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 28*z - 27*z + 18*z - 1 - 12 + 7*z. Let c = 9 + 1. What is the tens digit of g(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*h - 2*h + 6 = 0, 6 = 3*h. Let c(m) = 4*m + 2*m**2 - 5*m + 4 + 6*m. What is c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 963480 by -465.\nAnswer: -2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a1668 (base 12) to base 6\nAnswer: 32300212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from vmvcmmvmnncvmmc?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*p + 12 = 232, -2*u + 88 = -4*p. What is the remainder when 2241 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 0*p**5 - 2*p**5)*(1 + 1 + 6)*(-3 - 1 + 1).\nAnswer: 48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by 260\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.608077um in centimeters?\nAnswer: 0.0003608077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 6*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577 less than 789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-3) + 2)*-12. Suppose 0*f + 3*i = 2*f - 4, -z = -2*f - 3*i. Suppose 4*h = -h + f. What is the biggest value in h, -1\/5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from {q: 2, z: 5, g: 3, i: 2}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5*z**2 - 158*i**2 + 6*i*z**2 + 4*z**2 wrt i?\nAnswer: 20*i**3*z**2 - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 90*u + 704 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/6 - -11\/6. Let t = -6.4 - -6. Let s = -2318 - -2318.4. What is the closest to o in s, 2, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:13 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)**(3\/2)*v**(11\/3)\/(v\/v**(-13\/3)*v) assuming v is positive.\nAnswer: v**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = -3*g, -h = g + 4*g - 20. Suppose 0 = q + 15 + 40. Let w = q - -60. Sort h, 4, w.\nAnswer: h, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = l + 4 + 21, 0 = 2*l - 3*b + 45. Let w = l - -34. Suppose o - 5*q - 23 = 0, 0 = -0*o + 2*o + q - w. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) -2\/11 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/(2*sqrt(12) - sqrt(12))*2)**2*6 - ((sqrt(11) + -1)*-6 + sqrt(176) + -3 + -2)*3.\nAnswer: 6*sqrt(11) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12)*3)\/((-2785)\/(-20052))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 2*g - 40140 + 40120 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.251 and -0.173104?\nAnswer: -0.043449104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75847.\nAnswer: 73, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693295?\nAnswer: 5, 338659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 72 + 39 + 33. Let o(h) be the third derivative of -h**7\/1260 - h**5\/60 - 2*h**2. Let q(l) be the third derivative of o(l). Calculate q(n(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184276, 0, -2 in increasing order.\nAnswer: -184276, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(1 - 6\/15). Suppose u - i + 2*i - 1062 = 0, -k*i - 5302 = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 63, 98?\n\"Answer: 35*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-96) + -11*2\/(-132).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106907 divided by 93.\nAnswer: 106907\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6297?\nAnswer: 5\/6297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102036 is divided by 5674.\nAnswer: 5578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139.185 - 5.67561.\nAnswer: 133.50939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 5*a**2 - 12*a + 2. Determine i(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -294.1 + -20.9. Let v = f + 403. Is 0.1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1580 - 25*t + 324 - 292 - 1147.\nAnswer: -25*t - 2695","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-10\/9))\/(n**(1\/26)\/n*n*n))**(-7\/4) assuming n is positive.\nAnswer: n**(1883\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 52 + 191)*(-11 + 31 - 42*x - 11 - 8).\nAnswer: -3444*x + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from jsxsjssx.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15715 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (812\/(-56))\/((-84)\/(-9)) and 5\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20\/491 + -611\/2946. Put b, 5, 7, -0.021 in descending order.\nAnswer: 7, 5, -0.021, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chyfffffvcfhc. Give prob of picking 3 f.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Suppose 0*u - 2*a = -u + 383, 3*u - a = 1129. Let w(q) = -64 - u*q + 374*q + 31 - 30. Determine w(d(t)).\nAnswer: t - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(7\/9)*a\/(a*a**0) assuming a is positive.\nAnswer: a**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*d = 6. Let v be ((6\/5)\/3)\/(d\/5). Sort 0.5, 2\/9, v in descending order.\nAnswer: v, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**4 + 2360*w**3 + 305472*w**2 + 1766272*w + 2329600 = 0.\nAnswer: -104, -4, -2, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 80\/(-35). Suppose -4*m + 5*o = -22, -u*o - 23 = -4*m - 7. Solve -5*z - 15 = j, -7*j = -m*j - 4*z - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140546 (base 7) to base 14\nAnswer: -9a26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3614557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/6*(-2854)\/(-3). Suppose -q + 10631 = 5*j, -4*j + 1608 = q - 6896. Let f = j - c. Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 98555081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -18. Is (-4)\/2 - -95 - r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -526*y - 172536. Give n(-328).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116404344.\nAnswer: 2, 3, 7, 167, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8\/5*135\/36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0*f)**(5\/8))**(-35)*(f\/(f*f**2*f*f))\/f*f**(-4)*((f*f**0)\/f)\/(f*f\/((f*f*f\/(f\/(f*(f\/f**(-2\/7))\/f)*f)*f*f)\/f)) assuming f is positive.\nAnswer: f**(-1441\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbbcbcrbbscc. Give prob of sequence sb.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472278291?\nAnswer: 3, 743, 211879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*y + 1893*y = 947*y - 256 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 881 - 246. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**5 - 2022*i**4 - 6*i**3 + 20*i**2 + 10852*i + 9 wrt i?\nAnswer: 660*i**2 - 48528*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6118\/(-12768)*384\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 12 = -2*n + 13*n, 6*j + 40 = 437*n - 436*n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 871.82025 + -872. Let j = -0.18 - l. Round j to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12 + 636*s**2 - 3.\nAnswer: 636*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 802, 1221, 1658, 2119, 2610, 3137, 3706?\nAnswer: 4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from {y: 1, w: 7, q: 1, k: 4, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4.2. Let g = u - -4.2000019. What is g rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 9372, -2, 216?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 345377119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/168 and 13\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 3, h: 13}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(112\/(-4)) + (340835\/(-6930) - -48)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 35*i + 625. Let q be a(-5). Sort -0.03, q, -1 in descending order.\nAnswer: q, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170840*w**6 - 128089*w**2?\nAnswer: 20500800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 35. Let r be i(-39). Is (3 + 30\/r)\/((-1)\/38) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400012?\nAnswer: 2, 100003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203*l**2 - 3?\nAnswer: 406*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/3*q**3 + 3*q - 1 + 5\/2*q**2. Determine b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 4, o: 1, x: 2}. Give prob of picking 1 x and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1473*h**3 - 3*h - 2. Let a be (-825)\/891 - (-2)\/(-27). What is the units digit of o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1830864104 and -19.1.\nAnswer: 1830864084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 14*h**2 + 33*h - 12*h**2 - 41 + 29*h**2.\nAnswer: 3*(h - 1)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -3\/159550 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r + 2*r. Let g be (-114)\/r*4\/(-6). Suppose 4*h - g = -5*o, -3*o = 22 - 7. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (690\/(-161))\/((-54)\/(-45)*10\/140)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34128*i*j**2 + 4*i - 5*j**2 + 25503 with respect to j.\nAnswer: 68256*i*j - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -107201\/28 and -3828 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -g - 8, -262*g + 264*g - 3*s = -17 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -21*t. Let h(k) = k + 37. Determine h(a(y)).\nAnswer: -21*y + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 314128139 and 314128139 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62883 and 3213.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5, -3*y + 787 = -3*n - 770. Let l = n - -525. Calculate the least common multiple of 55 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1347 - -1342. Sort -499, l, 5 in increasing order.\nAnswer: -499, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3*y**2 - 5*y + 7. Let u be r(4). Suppose u*h - 13 = -2*f - 2*h, 0 = 3*f + 3*h - 15. Solve 12 = -5*m - o, -m + 5*m + f*o = -16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770808 = -1326*l + 1352*l. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28b9 + -5?\nAnswer: 28b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/35)\/(-2 - (-76)\/40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4187 = -5*z - 18041, 4*a + 5*z = 88862. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188981319 to the power of 1\/3, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 1 + 1)*(c**2 + 4*c**2 - 3*c**2) + c**4 + 6*c**3 - 2*c**4 + 0*c**3.\nAnswer: -3*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 7:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(45) - sqrt(180))*-4.\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5, 0 = 4*s + z + 4*z - 41. Suppose -17 = 3*w - s*w. What is the second derivative of w*k - 9*k**4 - 45*k + 16*k + 22*k**4 wrt k?\nAnswer: 156*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -15*m**4 - 69*m**3 - 30*m**2 + 24*m = 0.\nAnswer: -4, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + 37*z + 31. Let o be i(13). Solve o*d + 9 = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267685 and 5797.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-30)\/(-14))\/(11121\/847 + -13). Factor -16\/5 + 2*f**3 - o*f**2 + 56\/5*f.\nAnswer: 2*(f - 2)**2*(5*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1752338 - 225?\nAnswer: 1752113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 + (((-6888)\/9)\/(22\/(-33)) - 8) and 21?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5413+-10279041729\nAnswer: -10279036316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*m - 195, m - 24 = -4*s + 15. Let b = 246 - 236. What is the remainder when m is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435411441 + 3?\nAnswer: -435411434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 1. Let p(a) be the third derivative of -a**6\/40 + a**3\/2 - 6*a**2. Let y(v) = -6*c(v) + 3*p(v). What is the derivative of y(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + 1\/4. Suppose u = 3*g + s - 45, 5*g - 50 = 3*s + 11. Let v(m) = -11 + 3*m + 0*m + m**2 + 24 - g. Determine v(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218 divided by -6?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w - 52. What is x(5)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, d: 1, t: 2, b: 2, i: 1}. Give prob of picking 1 g and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1021 - 5?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/2)*r**(4\/11)*(r*((r*r**(-3))\/r)\/r)**(-13) assuming r is positive.\nAnswer: r**(877\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1567226 and 61\/3.\nAnswer: 4701678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-72))\/(100\/(-60)*(-5)\/(-25)*1).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28674*m - 19664?\nAnswer: 28674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -3*c**5\/8 + c**4\/4 + 23*c**3\/6 - 14*c**2. Let f(t) be the first derivative of a(t). What is the hundreds digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 1 + 0)*(-5 + 3 - 2*y - 2)*(-4*y**2 + y**2 + 4*y**2).\nAnswer: 42*y**3 + 84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/133 in -0.5, -0.04, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: cc0c (base 14) to base 5\nAnswer: 2112132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n + 801187200 = -35*n. Round n to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.78265t to milligrams.\nAnswer: 25782650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + (sqrt(5) + -3 - sqrt(5)) - (sqrt(45) + 2))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1676 + 32?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l + 0 + 2\/9*l**3 - 50\/9*l**2.\nAnswer: 2*l*(l - 18)*(l - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.19 - -20. Let r = -69.49 + 70. Let l = r - y. Round l to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 1:12 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872)*2)**2*3.\nAnswer: 22464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084520 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2976 in 7, 5, 2, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = r, -12 = -3*r - 4*z + z. Find the second derivative of -3*d**r + 8*d**5 - 14*d**5 - 31*d**5 + 19*d wrt d.\nAnswer: -800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from eeeeededed?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**4 + 4*x**3 + 5*x**2 + x + 7. Let t(r) = -3*r**4 + 6*r**3 + 8*r**2 + 2*r + 11. Let i be (-10)\/(-6)*9\/3. Let j(m) = i*t(m) - 8*s(m). Factor j(l).\nAnswer: (l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, -1, -3, 5 in decreasing order.\nAnswer: 5, 10\/13, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063 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: Calculate -258 divided by 43.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus 7414146?\nAnswer: -7414140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a**4 - a**2 - 2*a**4 + a**2 + (2*a**2 - 4*a**2 + a**2)*(-4 + a**2 + 4) + 0 + 0 - 2*a**4)*(a + 0*a + a) + 0*a**5 + 0*a**5 + a**5.\nAnswer: -13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/8*24\/(-66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837165 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 38. Let h be t\/(-4) - 3\/2. Let -3*i**5 + 3*i**2 - 2*i**5 + h*i**5 + 9*i**4 - 9*i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**6\/45 + 7*r**5\/30 + 2*r**4\/9 - 28*r**3\/9 + 53*r. Let q(c) = 0. Calculate c.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885270093.\nAnswer: 3, 809, 364759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239897 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19080 by -6.\nAnswer: -3180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14 and -16.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 not equal to 527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*n = -30, 0 = i - 2*n - 45 + 30. Let h(b) = -i*b - 6 + 3*b**2 + 3*b + 2*b - 4*b**2. What is h(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -41, -50?\n\"Answer: -9*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1173.34 + 1023.8. Let i = p - -150. Round i to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (477\/36 - 12)*8\/25\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*i - 65*i = 4750 - 304 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 64 = 4*d. Let t(s) = 119*s**2 + 5*s + 5. Calculate the remainder when t(-1) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1143112 - 120400?\nAnswer: -1314012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and 89\/5236.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 235 = -5*f, 2*v + 2*f = -70 - 36. Let t = -96 - v. Do t and -44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 0, 2\/47, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14916 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + x**4)*(-19 + 3*x + 18 - 13).\nAnswer: 3*x**5 - 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t**4 - 4*t**3 - 22*t**2 - 7482?\nAnswer: 20*t**3 - 12*t**2 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/(-56) + 39\/26. Find b such that 0*b + 0 + 3\/8*b**5 + 3\/8*b**4 - h*b**3 - 3\/8*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 26492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 18*u - 58. What is s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 107, 191, 263, 317, 347?\n\"Answer: -u**3 + 91*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90, 188, 284, 378?\n\"Answer: -s**2 + 101*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(30\/4735) - -3. Suppose 7*t - f = -201. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 38 = 3*c, 6*l - 2*c = 7*l + 8. Solve l*q - 5*m = -6, -5*q = m + 9 + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 99*b**2 + 206*b + 629. Let y be i(-101). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46035, -46001, -45945, -45867, -45767, -45645?\n\"Answer: 11*u**2 + u - 46047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 29, 26, 23, 20, 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h - 4*f, -2*h - 5*f = -0 - 16. Let j be 8 - 9 - (13 + h). Let y = 141.6 - 142. What is the third smallest value in j, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916 - 302 = 31*g - 71, -3*g - 119 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from wwgwpwgpadgdgpdp?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 267428304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6 + 45\/(-130) + (-13110)\/(-31395).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/65)\/(1\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 0*f**2 + 3 + 189101*f**3.\nAnswer: 189101*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*g - 8003 - 7399 = 58*g. What is the remainder when 621 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 483, -0.054, 3?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnzjjjjujaznijjjjj. What is prob of sequence anu?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcsc. What is prob of picking 1 c and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 + 2*h**3)*(1 - 2 + 0) + 8134*h**2 - 4066*h**2 + 14*h**3 - 1531*h - 4068*h**2.\nAnswer: 13*h**3 - 1531*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*d - 160. Is d smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031390 divided by 5529?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Suppose d*f - 28 = 4*g, 2*f - 3*g = -4*g + 8. Suppose -16 = -2*w + u, f*w + 3*u = -2*u + 10. Solve -w = -5*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:39 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 490799 divided by 2111?\nAnswer: 490799\/2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/10)\/(8\/(-20)). Let f(r) = -r**2 - 9*r**2 - 7*r**c + 18*r**2. Let g(n) = 5*n**2. Calculate f(g(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-36)\/(-16). Suppose 0 = -p - 5*z + u, 26 = 5*p + 5*z + 76. Let m = -8 - p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + 10 + -1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(320))**2 - (3 + (1 + sqrt(320))**2 - sqrt(320))) + -5.\nAnswer: -14729 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -1) + 77 + -158 + 64?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -636, -1234, -1818, -2382, -2920, -3426, -3894, -4318?\nAnswer: -4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -526431843 + -33.\nAnswer: -526431876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/10)\/2*30. Let l be (-4)\/(3\/(n\/(-4))). Which is the third biggest value? (a) 2\/5 (b) 2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = -2*b + 4*s, -6 = -10*s + 12*s. Let l = b + 190. Let d(t) = 8*t + 7. Let c(u) = -7*u - 6. Calculate l*c(q) - 4*d(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 2, p: 6, i: 2, f: 3, s: 3}. Give prob of picking 2 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/4 - 8*t**3\/3 + 4*t**2 + 4*t - 3. Is i(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.8. Let w = -3.2 - -3. Let d = 7.5 + -8. Which is the nearest to n? (a) w (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*g + 32. Suppose -b - 238 = -g*o + 2*o, 2*o - 4*b - 226 = 0. Calculate the remainder when o is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18129 or -235688\/13?\nAnswer: -235688\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - -0.01. Which is the third smallest value? (a) l (b) 0.8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 5:30 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 - 10 = -24*k. Solve 0 = 4*l + 4*z + 8, -l = -0*l - k*z + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21311 - 20050.3. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 95*s + 261. Let x(k) = -191*k - 519. Let o(r) = -13*p(r) - 6*x(r). List the prime factors of o(-16).\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, 2, -4 in descending order.\nAnswer: 251, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 411023 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -13. Let u = 10 + x. Let r = -20 - u. Which is the third smallest value? (a) r (b) -3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 12 - 18 + p**2.\nAnswer: p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -796.076 rounded to the nearest 10?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, -2 in decreasing order.\nAnswer: 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/44 and -23\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.22 - -51. Let a = 0.42 + f. What is the second biggest value in -0.4, 2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 12*a = 4*f - 13, f + 2*a = 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3139d - 15d4?\nAnswer: -32982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4960741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1100*d + 40. Let b(y) = 14*y - 1. What is 80*b(q) + i(q)?\nAnswer: 20*q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -797 - 13*s + 430 - 3*s + 268 to b + j*s and give b.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 9. Let v be a(7). Let x(z) = 149*z**2 - 72*z**2 - 74*z**v. Let d(y) = 20*y**2. Determine d(x(m)).\nAnswer: 180*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 12, i: 1}. What is prob of picking 1 k and 1 l?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(5\/3)*i**(-6)\/i)\/(i**2)**(3\/11))**(1\/18))**33 assuming i is positive.\nAnswer: i**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3 + 8 + 2*h - 3 + 0*h**2. Let v(g) = 2*g**2 + 5*g + 5. Let u be ((-5)\/(-2))\/((-4)\/8). Let z = 1 - -1. Give u*x(t) + z*v(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3617428177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7222.8 - 7222. Let p = 51 - 149\/3. Which is the closest to p? (a) u (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(63)\/sqrt(7)) + sqrt(3564)*1)**2*5.\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Suppose 59*t + 58 = -1. Sort o, t, -2 in decreasing order.\nAnswer: t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 21. Let q be d(-10). Which is bigger: 2\/79 or q?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 88, 101, 96, 67, 8, -87, -224?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 78. Let b(j) be the second derivative of j**4\/12 - 8*j**3\/3 - 15*j**2\/2 - j. Let w be b(a). Sort w, 14, 1.\nAnswer: 1, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z**2 + 1957*z + 8006. Calculate v(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3606*b**2. Let s(i) = 2*i**2. Calculate w(s(o)).\nAnswer: 14424*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t + 2. Suppose 4*h - 10 = 2*f - 5*f, 2*f = -5*h + 9. What is the remainder when p(f) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5467 = 59*k - 57*k + n, -5*k + n = -13685. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 144*t + 309 = -17*h - 70*t, -10*h = -2*t + 182 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/9 and 59\/194?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t + 1\/2*t**3 - 4 - t**2. Factor q(o).\nAnswer: (o - 2)*(3*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/8 + 742\/28. Suppose 0 = -q*k - 1187 + 3875. What is the remainder when k is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbrrbbbbbbbbbbbbb. Give prob of picking 2 b.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 2. Let v(j) = 6*j + 1. Let g(s) = 7*s. Let p(i) = 2*g(i) - 3*v(i). Calculate -2*p(z) - 3*t(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 16 = 4*g, -12*g + 10*g + 14 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from yawwwawawaawwawyywyw.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6 - 4*y**2 - y**2 + 131*y - 125*y - y**3. Suppose 2*m + 4*a = -2*m + 24, 3*m - 10 = -a. Suppose -m*h - 3 = -4*w + w, -4*w - 12 = 0. Give i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64 - 3*y + 2*y**2 + 0*y**2 - 407 + 10*y + 5*y wrt y?\nAnswer: 4*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s + 9 + 13*s + 7*s. Let f be j(5). Suppose f*a - 12*a = -4. Let w(g) = -g**3 - 2*g**2 + 2*g + 2. Determine w(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1929*g**2. Let x(b) = -5*b. Give x(p(j)).\nAnswer: 9645*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, k: 4, x: 5}. What is prob of sequence kxk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 302652.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f - 33 = -5*l, 5*l - 2*f - 32 = 0. Let o = 19 - l. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108722700 to the nearest 1000000.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (30722886\/1810350 - 17) + 4\/100 and -34\/63.\nAnswer: 28161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/13 + 56\/13*t + 2\/13*t**3 - 20\/13*t**2 = 0. What is t?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 = -l - 10, 12 = -3*l. Suppose -3*b = 5*i - 19, 0 = b - 2*i + 4 - a. Differentiate -4 - p**2 + 3*p**b + p**2 + 8 with respect to p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16034*s**3 + 15854*s**3 - 32012*s**3.\nAnswer: -124*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*n = 0, 3*y - 5*y + n = 0. Suppose 3*j + l = 3*l + 117, y = -l - 3. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by 7?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84.4 + -92. Let f = 7.81 + 0.19. Let n = f + l. What is the smallest value in -2\/13, 0.3, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.37.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrcaraccaaccc. Give prob of sequence ccr.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:18 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-84)\/32)*21\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264065 is divided by 2539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*h + 4*n, -h - 2*n - 5 = 0. Solve -u - u - 31 = 5*c, 0 = -2*c + 5*u + h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 285, 82 in descending order.\nAnswer: 285, 82, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 0 + 1 - 3*t**2 + 65*t**3 + 4*t**2. Let r be q(1). Suppose 2*d - r = d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/22)\/(i**(22\/3)\/i*i))**32 assuming i is positive.\nAnswer: i**(-7600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -5*d - 17, -2*d + 6*i = 8*i - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:57 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 36, 1\/7, 0, 0.5, 2\/45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 3979?\nAnswer: 3979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = i - 1, -52 = 17*z - 16*z - 861*i + 851*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 8 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29\/2*4*1 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - 4*k - 1. Let u be w(-1). Let n be 3 + 1 - (u - 11). Suppose n*d - 95 = 2*q + 209, -4*q + 228 = 3*d. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.176 times 164\nAnswer: -28.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 1.8. Let i = 2.2 - b. Let u(g) = -g**2 + 11*g - 12. Let j be u(10). Put j, i, 3 in decreasing order.\nAnswer: 3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2*p - 1728. Let k be g(-42). What is the greatest common factor of 4110 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*r + 5*s, -2*r + 190 = -s + 155. Suppose -j = -0 - 33. Calculate the smallest common multiple of j and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 3*a - 4*a + (-1 + 1 + 3)*(0 + 2*a + 0) + (-1 + 1 - 2*a)*(1 + 3 - 5))*(-1872*a - 1894*a + 3777*a + 25)*(-5*a + 3*a + 0*a).\nAnswer: -220*a**3 - 500*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89541.\nAnswer: 3, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*g + 103*g - 2*o - 2075687, 2*g = 3*o + 4151365. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 1, 57\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -967548 - -967532.000004. Let l = 16 + p. Round l to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:47 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + -1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -187910 divided by 10?\nAnswer: -18791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 22 = -26. Is 10 a factor of 5133\/(-58)*(p + 1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 9*f**2\/2 + 16. Let m(u) = -2 + 2 - 2*u + 4*u. Determine m(l(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.21 - -0.21. Let x = 5 + w. Which is greater: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (0 - -23)) + -13 - 31?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 74768 + 239560. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*r = -8*r, 2*k - r - 9 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -530b72?\nAnswer: 530b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let t = 69 - 66. Let l = 3\/86 + -211\/1118. What is the closest to l in 1\/6, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-4)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*p**2 + 212*p + p**2 - 108*p - 103*p + 186*p**3 to m*p**2 + y*p + i + v*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -297, -431, -565?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + k. Let x(g) = -8*g**2 - 3*g. Let y(i) = 15*u(i) + 3*x(i). Let t(l) = 10*l**2 - 7*l - 1. Let s(z) = -4*t(z) - 5*y(z). Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.401917 to zero decimal places.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (3 - 2) + -3. Let b be (-3 - (-1 - x))*-1. Solve -b*a + 8 = 0, -5*a + 26 = 4*c - 0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/17 + -56\/85. Sort -1, 1\/11, -5, q in ascending order.\nAnswer: -5, -1, q, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -239 - 333*i**3 + 384*i**3 - 1031*i**3 - 174 + 30 wrt i?\nAnswer: -2940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3*(m*m\/(m\/(m*m*m**4*m)))\/m*(m\/m**0)**(1\/44))**(-16) assuming m is positive.\nAnswer: m**(-1940\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - j = -975002, 0 = -9*j + 12*j - 6. What is x rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(11\/3)\/g**(2\/45)*(g**(1\/3))**(-4\/17) assuming g is positive.\nAnswer: g**(2711\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (0 + 148\/(-28)). Solve 4 + 21 = -w*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.2 - -2.8. Is -22 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 take away -6842.6?\nAnswer: 6693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 763 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.0706, -0.08, 0.3, 0?\nAnswer: 0.0706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 3. Let y(l) = 2*l**2 + l - 6. Let s(k) = 7*x(k) - 3*y(k). What is the remainder when 25 is divided by s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (-218 - 3)) + 0. Let b be c\/(-60) + 1\/(-5). Sort b, 0, 3 in ascending order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 plus -30?\nAnswer: -30.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65705414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/95)\/((-2)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 - 8*m**3 + 10*m**3 - 51*m + 19*m**2 - 5*m**2 + 2 to the form s + n*m**3 + w*m**2 + x*m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/157920 and -101\/110544.\nAnswer: 1105440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 64 = 397. Is g at least -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3 + 10069387*m**2 + 575*m - 7783 wrt m?\nAnswer: 6*m + 20138774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5522708.\nAnswer: 2, 1380677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001010110 (base 2) to base 9.\nAnswer: -1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 26 + 1 = 0. Let s(y) = -y - 3. Let h be s(d). Is -1 + (h - -18*5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 158*v**2 - 2*v - 4. Suppose 9 - 12 = y. What are the prime factors of i(y)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:05 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -418359*b**3 - b**2 - 86231*b + 3 wrt b?\nAnswer: -2510154*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:55 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/12 - -1)*30\/105. Let x = 49 + -23. Let j = -37 + x. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -262*i - 4454. Determine g(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*h + 4. Let d be ((58*-6)\/3)\/(h - -8). Suppose 6*w = d + 160. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47323*z = 9*c + 47318*z + 68, 13 = -2*c - z for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 28*s + 7. Let d(a) = -a**2 + 7*a + 2. Let v(h) = -9*d(h) + 2*z(h). What is the lowest common multiple of 7 and v(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47661?\nAnswer: 3, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -150, -152, -164, -192, -242, -320?\n\"Answer: -y**3 + y**2 + 2*y - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -564?\nAnswer: -56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/5 (b) 53 (c) -0.1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2421981 decades in millennia?\nAnswer: 0.002421981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbybbjjjpyppnffnpf. What is prob of sequence jf?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.167 - 0.321. Let c = 0.085 + k. Let u = 0.0690058 + c. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41151183499 - 416.\nAnswer: 41151183083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -128 + 488. What is the closest to -1 in 0.2, 2, 1\/6, w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-22472)\/(-159). Are -134 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(2\/1))\/(-3 - -6). Solve 0*a + 2\/9*a**4 + h*a**2 - 4\/9*a**3 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242187 is divided by 30272?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -3*sqrt(85))*3 - sqrt(85))\/(sqrt(15)\/(sqrt(3) + sqrt(15)\/sqrt(5)) - sqrt(5)).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1791, -3576, -5361, -7146?\n\"Answer: -1785*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 824*b - 28 - 274*b - 275*b - 270*b. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, -146, -972, -2662, -5504, -9786, -15796?\n\"Answer: -48*a**3 + 86*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let s = -34 + 33.9. Which is the nearest to s? (a) -2\/5 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927852946 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102545 (base 6) in base 10?\nAnswer: -101729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*u + 4*r + 19, -4*r = 2*u - 24. Solve -2*b - u = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962747 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 130 + 131 - 63 - 35*k. Let d be f(5). Solve 4*h - 31 = -d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11045871 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:56 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 10*d + 4. Calculate v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107b9 + 2?\nAnswer: -107b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/481474 and 67\/564995.\nAnswer: 55369510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 1211112000?\nAnswer: 1211111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1288 (base 14) to base 6.\nAnswer: 23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + (2 + 1*sqrt(98) + 1)*3))**2 + 1.\nAnswer: 2352*sqrt(2) + 4313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5*r - 175, 0*y - 5*r = -3*y + 525. Suppose 5*b + 0*c = 2*c + 190, -4*b - 3*c + y = 0. Calculate the greatest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 74 + 3*p - 74.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.545763 less than -12.51806?\nAnswer: -13.063823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:26 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:14 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53117 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 111\/(-18))*-1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let o(a) = 4*a + 1. Let s(j) = 6*i(j) + o(j). Let g(n) = -n + 6. Suppose 0 = 2*q - 2*f - 14, 2*q - 3*f - 13 = q. Give q*s(u) - 5*g(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1576 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 12) to base 14.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 8*u - 6. What is g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46874 + 46869. Let q = -3.1 - -0.1. Which is the second biggest value? (a) p (b) q (c) -2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*v - a, 18 = 5*v + 4*a + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g - 1155. Determine n(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6127782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -8. Let w = -2 + g. Suppose -14*o = -13*o - w. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 11*d**2 - 9*d - 13. Let q be i(-6). Solve 3*p - 12 = 2*k + p, -q*k + 2*p - 18 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*t + t. Suppose t*p - 84 = -0*p. Let f = p + -30. Solve 0 = f*i - 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 + 2 - -2) + 7 - 1) + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-380)\/2508 + (-1)\/(-2 - 1). Which is the closest to 1? (a) -0.04 (b) -3\/4 (c) 0.06 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0719? (a) -784 (b) 5 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 1329340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c - 8. Let h be i(2). Let x(z) = h*z**2 - 2*z**2 + 48*z - 48*z. Let r(t) = 3*t. Let y(o) = o. Let w(j) = r(j) + 2*y(j). Determine w(x(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 35 + 15 = 0. Solve a*z = 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9066748?\nAnswer: 2, 1163, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -0.5, -0.2, 0.3.\nAnswer: -0.5, -0.2, 0.3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2364\/(-4)*(-2)\/3. Let p = -5908\/15 + z. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:14 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 839486195 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5970.226ml to litres.\nAnswer: 5.970226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3187, -3190, -3195, -3202, -3211, -3222, -3235?\nAnswer: -3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkk when three letters picked without replacement from {b: 2, k: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/2)*o**(1\/18)\/o*o*o**11*o*o**(4\/11) assuming o is positive.\nAnswer: o**(883\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 g, and 1 a when four letters picked without replacement from babbbbbabbbagbggab?\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 10. Suppose -i*y + 7 = -1, -24 = -w + 3*y. Calculate the highest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(4 + -2) + 4. Solve -20*y = -u*y - 75 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -6, 4, 2 in descending order.\nAnswer: 7, 4, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -5613.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -27. Suppose 0 = -g*d - 3*p + 210 + 99, 132 = 2*d - 3*p. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, -2 in descending order.\nAnswer: 6, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*v + 5*v - 14*v to z + o*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 - (-13278)\/(-70). Let u = s - -190. Suppose 222*l + 2525 = -283*l. Which is the closest to 0.1? (a) 0.2 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/21)\/(11\/(462\/228)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 19, 42, 85, 154, 255, 394, 577?\n\"Answer: h**3 + h**2 - h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from {y: 7, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 5*a**3*q*s**2 - 32*a**3*q*s + 3*a**2*q*s + a**2 - a*q - a + s**2 wrt a.\nAnswer: 60*a**2 - 30*q*s**2 - 192*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 222, -37, -374, -777, -1234, -1733, -2262?\nAnswer: -2809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - p + 1919 + 1928 = 0, -1277 = -s + 5*p. Let y = s + -129. What is y rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -247?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*g - 3, -4*i - 4*g = -24. Let r = 11 + -29. Let n = 18 + r. Which is the nearest to i? (a) n (b) -1\/7 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24514, -4, -5, 5.\nAnswer: -24514, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.5 + -14. Let g = r + -0.5. What is the second biggest value in 5, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4 + j**3 - 25*j**2\/2 + 6*j + 27. Factor a(x).\nAnswer: (x - 2)*(x + 3)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cciiciiiiiii. What is prob of sequence ci?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322 - -488. What are the prime factors of j?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:01 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -87560 divided by -10945?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44970*k + k**3 + 44786*k - 179320*k + 44784*k + 44780*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -93, -104, -119?\n\"Answer: -2*f**2 - f - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21*d + 515. Give n(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -22, -5\/4, 2\/11, -0.2, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 - 5*j**2 - 21*j + 24. Let b be y(-4). Solve 0*w = -b*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbt when four letters picked without replacement from {k: 4, b: 9, t: 1, n: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1536\/16 + -82 - 65.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10101000101 (base 2) to base 13\nAnswer: 7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -32 + (3 - (0 - -1)). Let z(y) = 25*y + 21. Let m(q) = q**2 - 2. Let a be m(0). Let w be z(a). Which is smaller: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5058288ms to seconds.\nAnswer: 0.0005058288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2592)*-4 + sqrt(18) + sqrt(18)))\/(sqrt(45)\/(5*sqrt(80))))**2.\nAnswer: 15235200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 11*j**2 + 22*j - 31. Let c be p(9). Sort -4, 8, c, -3 in decreasing order.\nAnswer: 8, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 1 - (1 - 3). Let i be -1 + 8 + 1 + o. Suppose 4*a - 11 = u, -3*u = -a + i*a - 15. Solve a*c - 3*t - 15 = -0*t, 0 = 2*t + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 - 5*j - 2. Let p(q) = -4*q**2 - 5*q - 2. Let x(w) = -3*a(w) + 4*p(w). Let k be x(-3). Solve -k*g + g = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19607632 and 132484?\nAnswer: 19607632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away 850.5792?\nAnswer: -867.5792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/7 + 4586*k\/7 + 55320\/7 = 0?\nAnswer: -12, 2305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28446?\nAnswer: 2, 3, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 187*s + 8596. Calculate p(106).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -4 (c) 14299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10514\/35 - 12\/(-20). Let d(x) = x**3 - 3*x**2 - 3*x - 2. Let s be d(4). Suppose c = 3*l + t, -5*c - 7*l + 1545 = -s*l. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3614 and 182?\nAnswer: 25298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22257.63 minus 0.0222406?\nAnswer: -22257.6522406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8 - 9 + 3*m + 14. Let k be w(2). Find the second derivative of 0*g**3 - k*g + 3*g**3 + 0*g**3 wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 1.5. Put 0.04, -0.1, -3, v in ascending order.\nAnswer: -3, -0.1, 0.04, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1826677230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b - b**2)*(4*b - 4*b - b**2)*(-25 + 30 - 19).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 143 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 427849?\nAnswer: 5\/427849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2. Let p be (9\/30)\/(43\/215). Let z(o) be the first derivative of -4 + p*o**2 + 0*o. Give q(z(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 12*l + 19789. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19884 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 586639867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 968292103 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 11*u + 37. Let n be w(-6). Suppose -8*p = -4*p + 20. Let a = n + p. Solve 2*r - 4*k = -26, -3*k = a*r + r + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/3 - 1292*m + 625974 = 0. What is m?\nAnswer: 969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p**2 + 2*p + 2. Let m(d) = 89*d - 1871. Let w be m(21). Give r(w).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1909*x + 1966*x = -285. Let d(c) = -1. Let r(k) = -26*k - 4. Calculate x*d(h) + r(h).\nAnswer: -26*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 + 1353963*a - 17602026 = 0.\nAnswer: -451334, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253386 and 45598.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3465 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -317*l**4 + 86961*l**3 + l**2 - 210575448*l.\nAnswer: -3804*l**2 + 521766*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzuzz. What is prob of sequence uzuz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 830 times -1024?\nAnswer: -849920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9450*q**2 - 132*q - 283. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380.64 + 384.5406. Let j = -3.9 + w. Round j to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 5*v + 25. Let r(k) = -k**2 - 6*k + 3. Let l be r(-6). Suppose -5 = -l*z + 58. What is the highest common divisor of z and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 11*h = 0. Suppose h = 4*x + 20, -k = 3*k + 4*x - 76. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 8377, 28217, 66799, 130357, 225125, 357337?\nAnswer: 533227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -854057, -854008, -853947, -853868, -853765?\n\"Answer: o**3 + 42*o - 854100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/l*l*l**(-22) assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 148020643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*84\/(-18)*(-3)\/231.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119459, 238963, 358515, 478121, 597787, 717519?\nAnswer: 837323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 d, and 1 r when four letters picked without replacement from {r: 1, d: 1, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8420 + 16848 - 8428 - 3686*a in the form t*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 72*i**2 + 66*i - 351. Let r be x(-71). Let l be (-3)\/6*20*-1. Suppose -5*g + 5 = -l. Sort g, r, -5 in descending order.\nAnswer: r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -ab2?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272543719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(21)\/sqrt(3))*-5.\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.3 (c) -87 (d) -3 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/3 - 6*q**4 - 62*q**3\/3 - 34*q**2 - 80*q\/3 - 8 = 0 for q.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + z**4\/24 - z**3\/6 - 722*z**2. Let v be (-6 + 2)\/(-4)*3. Let l(y) = -3*y**2 + 3*y - 3. What is v*s(g) - l(g)?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18aa + 13?\nAnswer: 18bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -827*t + 1. Let x(h) = -2496*h + 3. What is -7*n(g) + 2*x(g)?\nAnswer: 797*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*s + 0 + 0 + 133*s in the form r*s + j and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1276601 and -70\/2637.\nAnswer: 11489409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -164249 and 136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8003954, -16007891, -24011828?\nAnswer: -32015765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 - 28*z + 111)*(2 + 1 - 4)*(12*z**2 + z**2 + z + 0*z) as s*z**3 + r*z + i + v*z**2 and give s.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30098, 29185, 27664, 25535, 22798, 19453?\n\"Answer: -304*x**2 - x + 30403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*q - 2760 = -3540 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2157866710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*h - 195*h + d - 11, -4*h - d + 44 = -6*d for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 48. Calculate the least common multiple of h and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-127440)*(-44)\/66*(-12)\/(-3).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -323*h + 303*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220459321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 53*t**6\/120 - t**5\/15 + 4*t**2. Find the third derivative of g(q) wrt q.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 323622, 323618, 323614, 323610, 323606, 323602?\n\"Answer: -4*j + 323626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctpgtgtttugtugut. Give prob of picking 1 u and 1 c.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 577655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 425 + -426. Which is bigger: l or -503?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 25.\nAnswer: -1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = 34*j + 21*j - 11664. What is the greatest common divisor of 1422 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 15. Let n be l(-12). Suppose -n*f = -10 - 2. Suppose f*z - 3*z - 26 = 0. What is the greatest common divisor of z and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2467*b. Let l(m) be the second derivative of -m**4\/6 + 981*m. Give t(l(a)).\nAnswer: -4934*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 64232, 122125, 180018?\n\"Answer: 57893*t + 6339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + 2*i + 1. Suppose 28 = 2*q - 2*r - 3*r, -2*r = q - 23. Let v = q + -16. Suppose 8 - v = -5*m. Calculate f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878115131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-42)\/(u\/(u*u**(2\/101)*u)) assuming u is positive.\nAnswer: u**(-4139\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5397904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.239 times 1.5?\nAnswer: 0.3585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 21, 31, 51, 87, 145, 231?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2 = k, 5*j - 74*k + 72*k = -14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 4. Let u be (9 - 5) + 0 + 0. Sort u, -3, i in descending order.\nAnswer: u, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2. Let l(b) = -b**3 + 3*b - 2. Let g be l(2). Let s be 1\/(3\/g + 1). Let n be c(s). Are n and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 - 184. Is 2 a factor of m\/(18\/(-3))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*j + 3*j - 6648, 5*j = -b + 3317. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -452.87 + 429. What is w rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 0*c**2)*(3 - 3 + 3)*(-c - 2*c + 4*c)*(4*c - 4 + 4).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.75, -2\/9, -0.2, 0.6, -51?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 46, 174, 356, 580?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17466640 - 27086326. Let o = 9619559.0000091 + d. Let w = 127 + o. Round w to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11516, 11605, 11762, 11993, 12304?\n\"Answer: r**3 + 28*r**2 - 2*r + 11489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 18*w = -205. Let v = -17225\/187 + 872\/17. Let m = v + w. What is the smallest value in -3, m, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-2))\/((-11)\/((-176)\/24)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -153912800 and -153912803 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -5502, -19184, -45950, -90162, -156182?\nAnswer: -248372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v = 109 + 45 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -2.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -4*s, 16*r = 4*s + 21*r - 26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 11.4, -1\/3, 3\/5, -41.57?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104*-185275\nAnswer: -19268600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 339, 348, 359, 372, 387, 404?\n\"Answer: p**2 + 6*p + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29053 and 17207921?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1153709*i. Let m(w) = -w. Give c(m(t)).\nAnswer: 1153709*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-63)\/(-588)*40\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -808, 2 in descending order.\nAnswer: 2, 0, -2, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138483 and 16056?\nAnswer: 1107864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-20)\/m*m*m\/(m\/m**(-45)) assuming m is positive.\nAnswer: m**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-3 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -25, -28, -31, -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:48 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 4, -2, -4, 2, 0, 784.\nAnswer: -20, -4, -2, 0, 2, 4, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 100\/11, 1\/7, -19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593546 is divided by 129674?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805319948.\nAnswer: 2, 3, 29, 1021, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 2464.\nAnswer: -4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-1)\/(3\/54). What is the common denominator of p\/99 - (-135)\/77 and -64\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 20. Let r(v) = 8*v - 40. Let y(h) = 7*d(h) - 3*r(h). Let p be y(12). Let m be 7\/p*(2 - 10). Solve 3*b + 4*g = -m, 0 = 5*g - 2*g - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 1 (b) -1.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23751*g + 24*g**2 + 23751*g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2 + 2*d - 8*d**3 - 1 - 6 to the form j + c*d**2 + p*d**3 + i*d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(88)*5*-4)\/(4*(sqrt(392) + sqrt(392)*-1) - sqrt(392)).\nAnswer: -1 + 60*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -142, -298, -470, -658, -862, -1082?\n\"Answer: -8*y**2 - 132*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 13889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, d: 1}. What is prob of picking 2 l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:31 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -39, -59?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 9*z**4 + 84*z**3 + 228*z**2 + 96*z - 192 = 0.\nAnswer: -4, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9882 divided by -3?\nAnswer: -3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 62303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = 2*v, -2*w + 4*v = v + 6. Suppose -4*a = -3*a - 206. Let x = a - 189. Calculate the remainder when x is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 3*p - 1. Let g = 10 + -11. Let w be b(g). Solve 2*l - 2 = -w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 19. Let a be k(14). Let m be 1\/a + 2\/(-10). Let s = -1 - -2. What is the closest to 1 in 0.3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1294)\/(-688408))\/((-2)\/7)\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1537*b**5 + 2*b**4 - 1148*b**2 + 2*b - 1.\nAnswer: 92220*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 429935 divided by -447\nAnswer: -429935\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6468834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b - 48*b = -7. Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 57. Let q be -95001 + s + (-5 + 5)\/(-8). What is q rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(11\/(88\/(-12))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 14242*d\/5 - 622776\/5.\nAnswer: -2*(d + 44)*(d + 7077)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34572112 divided by 944?\nAnswer: 36623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*((-6)\/5)\/3. Suppose 5 = -j + q*j + 5*k, 2*k = 5*j - 79. List the prime factors of 228\/15 + (-3)\/j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:57 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v + 241 - 411 = -1370 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-18)\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78623 is divided by 9776?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-2))\/27*(-1161)\/1548)\/((-30)\/(-16)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993180.\nAnswer: 2, 3, 5, 16553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -31721.27206 to 0 dps.\nAnswer: -31721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trq when three letters picked without replacement from rqwebwet?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 2*i**2 - 2*i - 3. Let v be x(-2). What is the nearest to 1\/2 in -5, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 60\/5683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 31*d + 4. Let z(r) = r**2 - 16*r + 2. Calculate 3*s(x) - 7*z(x).\nAnswer: 5*x**2 + 19*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 11. Let n(r) = 3*r - 79. Let c be n(27). Let o be (-5 + 7\/c)\/(6\/32). What is d(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -191, -379, -565, -749, -931, -1111, -1289?\n\"Answer: k**2 - 191*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(11\/440*4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 26 - 12)*(-c + 3 - 3) + (-c - 1 + 1)*(3 - 4 - 1) - c - c + 4*c + (0 - 2*c + 0)*(5 + 4 - 6).\nAnswer: -47*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.4 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u - 42 = -74*u. Sort u, 3, 0.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a27345 (base 11) to base 8\nAnswer: -6225561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78471, 78458, 78449, 78444, 78443, 78446, 78453?\nAnswer: 78464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 485 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/90518220?\nAnswer: -7\/90518220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - 2\/(-6). Let j be 0\/((-1 - t)*-1). Suppose j*l + l - 1 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:29 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ppzpzdzdzppdzppdz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10901 = -9500*q + 9313*q + 2750 for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 3 (b) 2\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 7052022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5034255 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + 10\/3. Suppose 5*f = 9*f - 60. Solve 0*i = b*n - 4*i - 12, 5*i = -n - f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52399 > 971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 33 = -z, 5*j - 35 = -z + 6*z. Suppose j*s = -3*s. Solve 2*q + s*q = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4033, 6.\nAnswer: -13, 6, 4033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 0.072468, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - 200.99996. Round c to 6 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.28 in 1\/18, -5, 0.01, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2. Let p(a) be the second derivative of 191*a**3\/2 - 685*a. Calculate p(y(v)).\nAnswer: 1146*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 + 12 = 0. Let x be -4 + 4 + h\/(-1). Solve x*i + 18 = -3*a, 2*a - 2*i + 0*i + 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*2*2)**2 + 1 - -5*(sqrt(1053) - (sqrt(1053) + -1 + (sqrt(1053) - 1*sqrt(1053))))) + -2.\nAnswer: 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27161185 and 1555.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -1 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 1, -9454, 0.\nAnswer: -9454, -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 10:55 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.4579 micrometers to millimeters.\nAnswer: 0.8574579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 16. Let m be f(-5). Suppose m = 8*h - 5. Solve -b - u - h = 0, 4*b + 4*u = -u - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x**2 - 6*x - 9. Let k(h) = 27*h**2 - 12*h - 19. Give 7*f(g) - 3*k(g).\nAnswer: 3*g**2 - 6*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/1*5\/(-10). Is 2\/(-8) - 453\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 27\/8*k**2 + 1\/4*k**3 - 33\/2*k - 27. Factor p(j).\nAnswer: 3*(j - 2)*(j + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/28259704 and -20\/213.\nAnswer: 84779112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2 + 648*v - 8288 = 0.\nAnswer: 14, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(65)\/(sqrt(10)\/sqrt(2)*4) - (4*(sqrt(1053) + 0 + sqrt(1053)) - (-4 + sqrt(1053) + 0))) + -2.\nAnswer: -251*sqrt(13)\/4 - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 737200 divided by 38800.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -97. Suppose 11*a = d*a - 380. Let y = a - -556. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {r: 1, z: 1, j: 1, b: 3, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67898 + 475336\/7. Factor 52\/7 - l*p - 2\/7*p**2.\nAnswer: -2*(p - 1)*(p + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.664, -4570, -6\/5?\nAnswer: -0.664","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -1456 + 1459, -2*v + 3*f = 31 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64338 (base 9) in base 6?\nAnswer: -525012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828 a factor of 418353013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 x when three letters picked without replacement from {d: 1, x: 7, l: 2, u: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r**3 - 4*r**2 - 5*r + 21. Let q be b(-5). Suppose 7*l = 14*l - q. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13441.6 times 2\nAnswer: 26883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v - 6*v + 3*v + 3*v - v + 0*v + (0 + 1 + 1)*(-3*v + 0*v + v) + 102*v - 134*v + 82*v in the form k + q*v and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4*u - 1. Let g be x(-5). Let p be (-38)\/g + (-7)\/21. Solve -4*b = -p*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203231302 (base 4) in base 10?\nAnswer: -146290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z - 42. Let i be k(12). Is i at least -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 6*c - 10 - 19*c + 0 to the form k + j*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let a be (4 + 28\/(-8))*-2. Is w at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 35064.\nAnswer: 105192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (36\/315)\/(16\/60*12\/(-120)*15)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.691 + -0.7694. Round a to 3 decimal places.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032347 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -3*t + 990. Suppose -2*q = -6*q - 308. Let k = q + t. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 14 - 18 = 7*a, 2 = -x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 25*p + 10. Let q(f) = f**3 - 10*f**2 + 6*f - 10. List the prime factors of q(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-125)\/5*16\/(-10). Suppose 0 = y + 4 - g. Suppose 9 + y = 3*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4802 and 4434206.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272518771*j**3 - 175670*j + 57.\nAnswer: -1635112626*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191\/4, 1\/6, -2, 41, 0.5, 2\/19.\nAnswer: -191\/4, -2, 2\/19, 1\/6, 0.5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1848*q + 1854*q = 72. Let l(f) = -6*f - 70. Let n(h) = 7*h + 69. Let s(j) = 3*l(j) + 4*n(j). What is the tens digit of s(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-35)\/(-28)). Let t = -1157\/28 - -284\/7. Which is the smallest value? (a) 6 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.2. Let t = 0 + o. Let d = 14719 - 14721. Which is the nearest to t? (a) 2 (b) d (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(114) - (sqrt(114) - sqrt(114)*-2*6))\/(sqrt(294) - sqrt(294)*2).\nAnswer: -2 + 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357\/64 - 11\/64. Calculate the common denominator of 145\/36 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 52 - 50 + 11*k**2)*(3*k - 3*k + k**2).\nAnswer: 14*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 4\/3*r**3 + 0*r + 0*r**4 + 0 + 0*r**5 + 1\/21*r**7 - 13*r**2 + 0*r**6. Find the first derivative of d(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12006.6 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q**4 - 424*q**3 + 1068*q**2 - 720*q + 112 = 0 for q.\nAnswer: -14, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 49*r + 243. Determine b(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.91564 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*g**(2\/109))*g)\/(g\/(g\/((g**(-2\/3)\/g)\/g))))\/((g*g*g\/g**9)\/g)**27 assuming g is positive.\nAnswer: g**(62342\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.847 - -0.847. Which is the third smallest value? (a) 4\/3 (b) m (c) 12 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598179 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 373.81*0.2\nAnswer: 74.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-1)*(3 - -1). Let u be 9\/(-15) - (-379932)\/k. Suppose -4 = 4*l, -5*l = x - l - u. Round x to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04222771 and -2246018.\nAnswer: -2246018.04222771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(136) - -2*sqrt(136)*-2) + sqrt(136)))\/(6*sqrt(800)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 6*n - 5*n**2 + (-4 + 2*n + 4)*(49*n - 39*n + 143*n) to d*n + s*n**2 + x and give s.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/21*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53803 = 2336*v - 2411 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + n**3 + 2*n + 4*n - 2*n - 4 + 5*n**2. Let t be u(-4). Solve 2*b + 2*k - 4 = t, 3*k + 4 = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 22*z - 20. Let n be c(-23). Suppose -6*p = -2*p - 2*o - 12, -2*o = p - 8. Put n, p, 5 in increasing order.\nAnswer: n, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.371 (b) -0.09 (c) 0.2 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - -4) - -2 - (-9 - -30).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -27*b - 106. Let i(f) = 13*f + 53. Let t(x) = 13*i(x) + 6*u(x). Let j be t(-7). Are j and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 21*u - 27*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.35 + 29.7. Let z = 2.65 + h. Let r(t) = -t**2 + 5*t + 3. Let v be r(7). Which is the closest to v? (a) 0.5 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -15. Let d be 14\/w + (-26)\/(-6). Suppose -2*b = p - 5*b - 76, -p = -d*b - 70. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.2. Let h = -211.9 - -201. Let c = -11 - h. What is the third smallest value in c, n, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2707128 and 454176?\nAnswer: 205741728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 693.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/5 - 286*z**4\/5 - 434*z**3\/5 + 12662*z**2 - 178464*z\/5 = 0. Calculate z.\nAnswer: -16, 0, 3, 13, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = c - 0*c. Let l = -8 - c. Let u = 13 + -5. Solve -4*y + u = -l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26f03 - -4?\nAnswer: 26f07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*p = 11, 2*a + a - 6 = 3*p. Solve -4*d - a = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/122 - -1\/61. Suppose -4*f + 3*d - 9 = 0, f + 4*d = 2 - 9. Let r = -3.8 - 0.2. Which is the third smallest value? (a) r (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -978, -981, -984, -987, -990, -993?\n\"Answer: -3*m - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26320953 <= -26320947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41414933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2990435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 13*o - 17. Suppose -5*a - 43 = 3*i, i - a = -i - 20. Let d be k(i). Suppose -d*b + 69 = -296. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1037\/136 + (483\/(-56) - -3 - -6). Solve -8 = 2*k - 2*d, 13*k = z*k + 3*d - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 6 - 23*n**2 - 2 - 3 - n.\nAnswer: -23*n**2 - n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**3 - h**3 - 12*h**3 + 20 + 18*h**2 - 2. Let s(v) = 6*v**3 - 5*v**2 - 5. Determine 5*i(x) + 18*s(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k - 66. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:05 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/48)\/((-14)\/246). Let o = -1\/28 + w. Which is the nearest to -0.1? (a) o (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/113 in -61, -1\/12, -2, 2\/17, -15?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9204*k + 9234*k - 2280 = 0. Solve 0 = -86*o + 48*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4219, 4018, 3827, 3652, 3499, 3374, 3283?\nAnswer: 3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -192, 4, 15, 0, 0.4, 5 in increasing order.\nAnswer: -192, -3, 0, 0.4, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2. Let q = -1 + 0. Suppose 4*j = 3 + 5. Let w(c) = -2*c + 2. Let p(i) = 1. Let n(h) = j*p(h) + q*w(h). Determine n(u(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7938, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 194658.02 to the nearest one thousand.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 1184.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/98771 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/21 and -23\/99966?\nAnswer: 699762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 11*k**2 + 8*k + 41. Let r be n(-10). Suppose 0 = 15*o - r*o + 11224. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.377, -0.027, -6 in decreasing order.\nAnswer: -0.027, -0.377, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*((1 + sqrt(4500) - (4 + sqrt(45) + -1)) + -5*(sqrt(3645) + 0))**2*5.\nAnswer: -291615 - 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-962)\/(-104). Which is bigger: t or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (1 + 7 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2. Let j(z) = -9*z + 5. Let x(q) = 2 + 28*q - 4 - 14. Let n(l) = -16*j(l) - 5*x(l). Give c(n(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 15 = 2*b - 3*z, 5*b + 210 = 4*z. Is -45 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 25\/15 - 1\/((-7)\/7)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5072*l - 283926. Calculate m(-56).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 7*x - 8. What is j(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -6)*(0 - 0). Let i be (-2)\/(d - 3\/6). What is the tens digit of (-4)\/16 + 49\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39571 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000111 + -10?\nAnswer: 100010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*n**2 + 5309*n**3 + 5083*n**3 + 1538*n - 15363*n**3 + 5276*n**3 wrt n?\nAnswer: 1830*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - 26. Suppose 3*d - 44 = 4*o, -o - 4*o - i = 4*d. Let q(u) = -7*u - 7. Is 18 a factor of q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22*127\/5588*4\/34\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 7\/8779 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 85 = 59*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49894766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 16 - 22*h - 28.\nAnswer: -22*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -441 + 739. Suppose 1173 = 5*g + c. Find the common denominator of -113\/6 and (14\/(-35))\/((-8)\/g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 17 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcjjccncjjcenccnjk. What is prob of picking 1 k and 1 n?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35438696?\nAnswer: 2, 29, 152753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**3*f**(1\/8)*(f\/f**0)**(-15))\/(f\/f**5*f*f**(1\/2))**36 assuming f is positive.\nAnswer: f**(585\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, r: 2, e: 1, y: 3, i: 1, s: 3}. What is prob of picking 1 h, 1 s, and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = d - 5*d, -5*n + 4*d - 12 = 0. Suppose -4*s = -3 + 11. Let p be 0\/(4 + n\/s). What is the nearest to p in -5, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb5a + -10?\nAnswer: 1bb4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194493385 or 194493384?\nAnswer: 194493385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:44 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 45, 82, 135, 210, 313, 450, 627?\n\"Answer: d**3 - d**2 + 23*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.97? (a) -0.2 (b) 64 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 115 = -0*k + 3*k, -4*k + 153 = 5*q. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -444 + 444. Solve 3*j + 4*b - 12 = -z*b, 3*j = -2*b + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 19*a + 17. Calculate j(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.2314m in centimeters?\nAnswer: 69223.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*h - 11*h + 126067 = 0, 4*w = h + 504394. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14070961609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -675 or -677?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 59*v = 64*v - 35, 0 = 4*v - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 15*g**2 + 14*g + 24. What is the tens digit of p(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 219459128 to the nearest 100000.\nAnswer: 219500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**2 + w**3 + 18*w**2)*(3*w - 2*w + 0*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/2*-3. Let s be (0\/(-2))\/(o + 1). Let j = s - -3. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2339, 371 in increasing order.\nAnswer: 2, 371, 2339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:07 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 7:06 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (6 - (12 - (14 - -1))) + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5 + 14516*i**4 + 26469602*i**3 + 472931280*i**2 + 2122912800*i = 0.\nAnswer: -3620, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + 24. Let h(f) = 12*f**2 - 99*f + 43. Calculate the remainder when u is divided by h(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 5. Suppose -3*r = -3*d - 3, 2*d + 2*r = -0*r - 18. Let x be d + 6 + (-4)\/2. Let j(a) = a. Let y(m) = x*o(m) - 3*j(m). What is y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) 1\/2 (b) 3\/8 (c) -0.02 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-4)\/50*(0 + 10). Let t(u) = -u**3 + u**2 - 1. Let m(n) = -21*n**3 + 2*n**2 - n - 9. Let j(y) = m(y) - 4*t(y). Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 193*j. Let a(w) = 8*w - 21. Let p(y) = -5*y + 12. Let c(l) = 4*a(l) + 7*p(l). Determine n(c(d)).\nAnswer: -579*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 6352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4a27a (base 14) to base 8\nAnswer: -542544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:50 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + 0*s)*(-6 + 1 + 3) - s + 2 - 2 - 1119*s - 936*s + 2206*s + (1 - 1 + s)*(0 - 2 + 0).\nAnswer: 152*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lflkfg. Give prob of picking 2 f and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(88))\/sqrt(8).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 24. Suppose -39835 = -c*u - 3*b, -3*u + 0*b = 5*b - 59753. Is u\/169 + 2\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let n be a(0). Solve 2*i - 10 = 5*i - 5*d, -5*i - 3*d + 6 = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39244 is divided by 4902?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-22)\/5 - 7\/(-5). Solve o - n - 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(170)*2 - sqrt(170))\/sqrt(10) - sqrt(17))**2 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2\/2 + 6*v - 5. Let t(s) = -s - 2. Let g(i) = -7*t(i) - 2*u(i). Let f(a) = -2*a + 0 + 1 - 6. What is -2*f(d) - 5*g(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131213000 (base 4) to base 12.\nAnswer: 379368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20104 - -35368. Is t a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94233516 - -3?\nAnswer: 94233519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + l = 3341 - 544, 2*i = -4*l + 1848. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16110*g - 10. Let r be ((-3)\/(-6))\/((-2)\/(-28)). Suppose -r*f + 3*f = 36. Let q be c(f). Round q to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 33, 62, 93, 120, 137?\n\"Answer: -d**3 + 10*d**2 - 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:04 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*t**6 + 48675*t**3 + t**2 - 210552.\nAnswer: 1560*t**3 + 292050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 14 - 7 + 6*c**3 + 2*c - 9*c**3 as t*c + h*c**2 + v + s*c**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1124 and 891332.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**2*t))**(-18)\/(t**2*t\/((t\/(t\/(t**15\/t)*t))\/t)))**(14\/3) assuming t is positive.\nAnswer: t**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/4110 and 5\/2877.\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2. Let g(v) = v + 10. Let h(l) = 20*l - 58. Let y(a) = 6*g(a) + h(a). Give y(n(f)).\nAnswer: 182*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (5*sqrt(112))\/(sqrt(64)*2).\nAnswer: -2 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**2 + 8*a + 64. Let r = 380 - 385. Does 13 divide p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + (-1580)\/(-18). Suppose 4*x - o + 2 = 2*c, -x - 4*c + 8 = 0. What is the remainder when 56 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + 1111111?\nAnswer: 10011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 45*r**2 - 1970*r + 4080.\nAnswer: 5*(r - 24)*(r - 2)*(r + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7519.389 months to years.\nAnswer: 626.61575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 85 = 21*q. Suppose 5*t = -q*f + 2*f + 1592, 5*t - 2*f - 1572 = 0. Suppose 0 = r + 3*r + t. Is -79 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18.2. What is the third biggest value in 3, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 623?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-3)\/(-12). Suppose v = 2*d - 0*d - 10. Suppose k - 4*z - d = 4, -z = 5*k - 3. Solve -c + 6 = k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11130450 divided by -6.\nAnswer: 1855075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.66602 - -22.67. What is k rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37577 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmpppmpmppp.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 5*c + 9 + 12 + 4*c to k*c + r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**3 + 33*g**2 + 47*g + 22. Calculate j(-10).\nAnswer: -2148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.99947 - -22. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24590 is divided by 328.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254 - 253. Let k be (-2 - (-20 + 3)) + -3. Let t = -13 + 8. Put c, k, t in descending order.\nAnswer: k, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.9999993975 - -21. What is s rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 39 + 3. What is the least common multiple of z and 12\/15*165\/6?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.6, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017383 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 7*a**2 + 8*a)*(-3*a**2 + a**2 + a**2) - a**4 - a**4 + 4*a**4.\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5957238 and 406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557410?\nAnswer: 2, 5, 7, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 + 30*i**2 + 58*i - 29. Give j(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 2, i: 2}. What is prob of picking 2 n, 1 a, and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117*f - 152 wrt f?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1310600*z + 3931799. Determine d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (882372\/38364)\/(1\/(-2)*1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 708\/590*15\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n**2 - 37*n**2 + 20*n**2 - n. Determine a(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435809 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2954\/532 - 4)*4 - 6\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 3207951*u**2 - 12831840*u + 12831852.\nAnswer: 3*(u - 2)**2*(u + 1069321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let h(m) = 1. Let z(b) = -2*c(b) + 3*h(b). Let y be z(-4). Let d(u) = u + 2. Give d(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + (1 - (1 - 0)). Suppose -5*d = -2*d + v. Let u be 6\/(1*-3)*d. What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*y + 3 = 25, g = -5*y + 29. Suppose -g*x + 12 = -8. Let v(p) = -2*p + 2. Let w be v(4). Sort x, w, 1 in decreasing order.\nAnswer: x, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 1884 + 1859 = s, -s - 13 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -15. Let p = -13 + n. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 108?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4\/63, -1, 1, -3, -450?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 7*o + 14\/3*o**3 + 32*o**2 + 0 - 1\/6*o**4. What is the derivative of c(a) wrt a?\nAnswer: -4*a + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.42 in -4, -3\/2, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 9*n - 10. What is h(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(432) + 2*sqrt(432) - sqrt(432)) - (-4 + sqrt(3) + sqrt(75) + sqrt(75) + 2*sqrt(75)))**2 + 5.\nAnswer: 48*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 158548773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.527 + 8.533. Let z = f - 9.06. Which is bigger: 58\/3 or z?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-91)*(-3)\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -8 (c) -27 (d) 3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 3, f: 2, u: 1, p: 9, o: 2}. Give prob of sequence ppy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + (-5)\/2. Suppose 5*j - 23 = 77. Suppose -5*i + j = 0, 0*g = -3*g + 2*i - 17. Is g < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*x**4 + 9*b*x**3 - 5*b*x**2 + 3*b + 192*x**4 + 536*x**3 - 9879*x**2 - 22*x - 1 wrt x.\nAnswer: -24*b*x + 54*b + 4608*x + 3216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16838123 and -45\/15523.\nAnswer: 724039289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(-20) + (1 - 4). What is the nearest to o in 3\/2, -2\/9, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17471 or 17473?\nAnswer: 17471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*s + 0*s**2 - 40*s - 3*s**2.\nAnswer: -3*s**2 + 124*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 2*v + 4*k, -4*v + 19 = 5*k. Suppose -3 + v = j. Let r = 53\/38 - -2\/19. Which is the closest to r? (a) 0 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 2 = -11*j. Suppose -3*s = -4*c + 58, -s = -j*c + 21 + 9. Solve r + 3 = -4*m + c, r = -5*m + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = -816\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615 a factor of 39050046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-104))\/(-7 + (-15103)\/(-2189)). Let j = s - 3\/80. Which is the second smallest value? (a) 14 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1345 divide 58931410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(((-14)\/20)\/(54\/108)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*(128\/21 - 6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(6*h + 19*h + 25 + 26583*h**2 - 26572*h**2) to the form b*h + x*h**2 + w and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 1. Let i(k) = 5*k - 2. Let l(u) = -3*i(u) - 7*p(u). Let g(z) = -2*z**2 - 4*z - 4. Calculate g(s) - 4*l(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11143\/43 - -16582633\/63984. What is the common denominator of d and -19\/1736?\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/29)\/s**(2\/3)*s**(3\/5)*s*s\/s**(-5))**9 assuming s is positive.\nAnswer: s**(8958\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Is (-37)\/((-20)\/8 + r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -20117*v - 15. Calculate f(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 894869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 3 + 2 - 8*k**3 + 3*k**4 - k**4 to i*k**3 + n + x*k**2 + u*k + h*k**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -68645 < -68605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r. Solve r = -2*g - g + 2*w + 11, 0 = 3*g - 4*w - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 13*i**2 - 8*i + 4. Let h(p) = -4*p**3 + 14*p**2 + 8*p - 4. Let v(c) = -4*h(c) - 5*r(c). Is 8 a factor of v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2683*z - 42. List the prime factors of m(1).\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -16*s. Let z(r) = -2*r**3 + 17*r**2 - 6*r - 6. Let o be z(8). Let p(b) = 10 - o - 5*b**2. Calculate m(p(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -92. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + (-9060)\/(-36). Suppose 3*x = -x + u. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -75. Calculate the remainder when -6*(-4 + 3)*3\/l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4121 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Solve -o + v*a - 4 = 0, -4*a = -5*o - 6*a + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1567515290 to the nearest 100000.\nAnswer: -1567500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31918 is divided by 10616?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1951.784ug?\nAnswer: 1.951784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 17. Let n(t) = 2*t + 6. Let r = -105 - -97. Calculate r*n(u) + 3*v(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6\/7, -0.65, 20?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-1)\/4). Let x(m) = 3 - 6*m - m**p - 5*m**2 + 2*m**2. Let n(u) = u + 0 - 1 + 13*u**2 - 12*u**2. Give -5*n(d) - x(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 3*p - 1. Let z be (-1 - (-3 + 5))\/(-1). Let g = 9 - z. Let h = g + -2. Let l(o) = 3*o**2 - 4*o + 1. Calculate h*w(a) + 3*l(a).\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 5. Let s be z(5). Let i = -21 - -23. Let b(h) = 6 + 3*h**i - 2*h**2 - 6*h - 2 + 1. Give b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c + 10*c - 6*c - 57*c.\nAnswer: -83*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 360*w - 6804.\nAnswer: -4*(w + 27)*(w + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 228*p**2 - 32*p. Determine r(-1).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 809 + 3424 = 0. Let q(v) = v**3 + 7*v**2 + 12. Let n be q(-7). Suppose 41 = n*f - l. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582762 is divided by 44826?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 34775, 3.38, -1, 6?\nAnswer: 34775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -874066652*h + 18963162 wrt h.\nAnswer: -874066652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + 16*g - 6. Suppose 4*r - 4*f = -0*r - 36, 2*r - f + 15 = 0. Let h be s(r). Suppose 0 = h*j - 2*j - 256. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 4, 16, 50, 112, 208?\n\"Answer: p**3 + 2*p**2 - 17*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -26. Let j = -4 - l. Let r(n) = -6*n + 1. Let x be r(-1). Calculate the highest common divisor of j and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*z + 2 - 25, -2*s + 4*z = -24. Suppose u = a + s, a = -0*a. Solve 0*h = -h + u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)*(h\/(h*h**(1\/2)))\/h)**(19\/5)*(h\/(h**(1\/4)\/h)*h*h**(-1\/5)\/h)\/((h*(h**(1\/10)*h)\/h)\/(h\/(h*h**1*h))) assuming h is positive.\nAnswer: h**(-283\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012801554 to the power of 1\/2, to the nearest integer?\nAnswer: 31825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o + 2. Let l(b) = -b - 1. Let y(j) = 0 - 4 - 2*j + 3. Let w(v) = l(v) - y(v). Let s(f) = 6*w(f) - x(f). What is the derivative of s(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 19 = -11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-65))\/(-15 - -5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.1 + 14.4. Let z = 0.2 + u. What is the third smallest value in -2\/17, z, -8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9841245 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11710*o = 10261*o - 26082 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.39 - -7.39. Let i = -1.5 + 1. Which is the smallest value? (a) i (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let b = 4265 + -4263. Is (r - b)\/((-2760)\/2764 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/((15\/(-5))\/(-3)) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.746 and -27.15?\nAnswer: 22.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 0.3, 3, -2\/23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353.131 minus -36?\nAnswer: -1317.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 16. Let l(t) = -2. Let n(h) = g(h) - 2*l(h). What is n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408366 and 1211427.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-125059\nAnswer: -625295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3605*b - 43. Is 26 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 12. Suppose -w - 5 = 8. Let m be h(w). Suppose 4*a + 45 = a + 5*r, r = 4*a + 60. Put m, a, 3 in decreasing order.\nAnswer: 3, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 998 + -971.68. What is t rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3496, 6385, 9268, 12145?\nAnswer: 15016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((-54)\/30). Let y = 65 - 64.9. Which is the closest to 0.2? (a) w (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8*6\/30)\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -0.06, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -3)*(-24)\/(-15). Let d = 5231\/3 - 1753. Do c and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 + -4)\/3)\/((-2)\/8). Suppose m - 4 = -5*s + 27, -a = -2*s. Suppose -m - 15 = -3*l. Calculate the greatest common factor of l and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336731?\nAnswer: 83, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/27145, -0.5, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -1, 8 in ascending order.\nAnswer: -3, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*o - 65*o**3 - 23*o**3 + 158*o**3 - 660*o - 63*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 851 - 442. List the prime factors of z.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43025099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112766 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(4\/5)\/g))\/(g*g**(-12)))\/(((g**10*g)\/g)\/g**(-1\/5)) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76.4 - -76. Sort 4, 0, a in descending order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285073 is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2. Let j = 20 - 11. Suppose 4*m - j + 21 = 0. Let f(q) = -4*q - 3. Let k(n) = 5*n + 4. Let y(i) = m*k(i) - 4*f(i). Calculate u(y(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1908700 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80588734.\nAnswer: 2, 23, 1751929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2435, -125, 26 in decreasing order.\nAnswer: 2435, 26, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408824 is divided by 314?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 23 = 13. Suppose -j + 3 = 0, 4*m = -0*j + 5*j + 73. Let a = m + v. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 411 by -137.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (122 + -102 - (1 - 7))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - z - 13 = -6, 2*g - 2*z + 2 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.2 (b) -115 (c) -2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 + -293. Suppose 465 = 5*v + 3*b, 8*v - i*v - 485 = b. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27022 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = 32*j - 83*j + 136257. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*l**2)*(-1 - l + 1) - 48*l**3 - 19*l**3 + 24*l**3)*(-1 + 1 - l).\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1954, -3928, -5900, -7870, -9838, -11804, -13768?\n\"Answer: p**2 - 1977*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203115516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 10947, 0.21.\nAnswer: -1\/3, 0.21, 10947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 347 + 13?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 12 - 17)*(2*n - n + 0*n).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v + 50*v = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14271241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:19 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - h - 8. Let m be k(4). Solve 3*n - 17 = 3*g - 2, 0 = g + m*n - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p - 4*p + 19*p as v + g*p and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6*v**(-4\/3)\/v*v**(2\/3)*v*(v\/(v\/(v\/(v**(-2)\/v))))\/v*((v**4\/v)**(-2\/45))**(24\/11) assuming v is positive.\nAnswer: v**(1327\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 124*u**5 + 9936*u**4 - 29592*u**3 - 8528896*u**2 + 131729052*u - 535903056 = 0.\nAnswer: -57, 244\/31, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16407, 1, 5, -3, -4, -19 in descending order.\nAnswer: 16407, 5, 1, -2, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (56\/(-12))\/(16\/(-12)). Let k = -0.5 + 0. Suppose -8 = -3*t - t + 4*w, 3*t - 6 = 5*w. Put t, k, b in ascending order.\nAnswer: k, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j + 141*j - 24*j)*(-2*j**3 - 6*j**2 + 2*j - 3*j + 11*j**2).\nAnswer: -172*j**4 + 430*j**3 - 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074 minus -2969?\nAnswer: 2968.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1309 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + -0.3. Let s = 20 + -18. Which is the biggest value? (a) 0 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + -0.4. Let k = 30.6 + -34. Let w = l - k. What is the smallest value in 2\/7, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19830 by -1.\nAnswer: 19830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -32. Suppose 0 = -s - r + 11. Suppose -27 = -5*g + s. Solve -6 = -g*h + 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 - 108*d**3 + 20*d**2 + 22*d**3 + 84*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2 = o - 16, 2*n + 6 = 4*o. Suppose p + o*p - 132 = -2*v, -162 = -5*p - v. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -546029 and 76?\nAnswer: -41498204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (6 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = 15. Let n be (-4)\/(-3)*(-465)\/(-10). Suppose q*y = n + 97. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/11 + 1316*x\/11 - 3966\/11 = 0.\nAnswer: -661, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -462, -460, -468, -492, -538, -612?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1807.373 decades to years.\nAnswer: 18073.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 4:09 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t - 1. Let y(n) = 2*n**2 + 4*n - 4. Let i(v) = v**3 + 4*v**2 - 3*v + 6. Let u be i(-5). What is the smallest common multiple of y(u) and p(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puqw when four letters picked without replacement from xpoqwuw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 9*i + 10. Let g be 7 - 0\/(1 + 0). Let p = g - i. Solve -p*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(84)\/(1*sqrt(6)) + sqrt(14)))\/sqrt(2)*6.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 7.1, 2, -8\/15?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8346 - -0.1654. Which is the biggest value? (a) -2 (b) g (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**3 + 125*b**3 + 24*b**3.\nAnswer: 172*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24174 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:07 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -22. Suppose -5*b + v*b + 13 = 2*f, -5*f = -3*b + 14. Solve -n = y - b, -5*y = n - y - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*o + l**3 - 2*l**2*o - 18234*l**2 + 11*l*o - 11*o + 38 wrt l.\nAnswer: -6*l*o + 6*l - 4*o - 36468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -480*w**2 - 2*w. Let j be g(4). Let o = j - -138331\/18. Find the common denominator of 0 + (-126)\/88*-2 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (410*n**2 - 48*n**2 - 107*n**2 + 282*n**2)*(40 + 10 - 7) in the form w*n**2 + x + m*n and give w.\nAnswer: 23091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 0 + 0 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6648 + -0.3352. Which is the closest to 1\/4? (a) -0.4 (b) -0.8 (c) s (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22336\/(-1024) + -23 - -45\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870.500183 rounded to 1 dp?\nAnswer: 1870.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.70251804 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.7 (c) 0.5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, r: 8, s: 1, o: 1, t: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/553 or 0?\nAnswer: -16\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 8. Suppose 4*f + 5*t - 6 - 8 = 0, 4*f = t + v. Let l be f\/(-2) + 2\/4. Solve l*d = -2*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 7*i**2 + 8*i - 6. Suppose 5*s + 17 - 47 = 0. Let r be n(s). Let j be r\/(3\/1 + -1). Solve j*y + 2*t - t + 9 = 0, -5*y - 4*t = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*f + 18 = 0, 4*v - 6*f + 4*f + 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v**2 + v + 5. Suppose 0 = -10*o + 13*o - 93. Let g be (-31 + o)*(-1 - -2). What is l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*k - 49*k + 18*k - 2)*(-5*k + 0*k + 0*k).\nAnswer: 600*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-5))*z**2)\/(z**0)**(-6\/7) assuming z is positive.\nAnswer: z**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Is (1 - -1) + 62\/(z\/(-1)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112200 + -2120022?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 103*n + 1. Let m be r(-1). Let b = -76 - m. What is the greatest common factor of b and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15)*(-6)\/4. Let r = -0.13 + -4.87. What is the smallest value in o, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15790*l - p - 5 = -15791*l, 6*l - 4*p - 26 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(504) - (sqrt(504)*2 + sqrt(504) - sqrt(504))) + sqrt(504))*1)\/sqrt(12)*4)\/((sqrt(8640)*-1 + sqrt(60))\/((-1*sqrt(90))\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(288)) + (sqrt(288) - -5*sqrt(288)*2) - (sqrt(288) + -2 + 0 + -1))*-3)**2.\nAnswer: 2592*sqrt(2) + 373257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1357 divided by -7.\nAnswer: -1357\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 161. Solve h*r = 28*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/18)\/1 + -2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 325.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 563 - -6a9?\nAnswer: c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 851\/5. Suppose 2*j - 4 - 2 = 0. Let n be (j\/(-6))\/(1\/(-3)). What is the third smallest value in p, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2533248 and -5.\nAnswer: 12666240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/15)\/((-4)\/10). Let v(q) = 2*q**2. Let k be v(b). Solve -2*d + k = 4*z, 2*d - z + 2 = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 72 + 21. Let k = 86 + -131. Let f = v - k. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, -0.4, -1.15, -17, 1\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-73 - -23 - -45).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose 109 = 4*z - d. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*r**2 - 2*r**3 - 439*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -18, -5, -3\/7?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3202 and 1475520024?\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193627696 to the nearest integer?\nAnswer: 13915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265\/8*b**2 - 109\/8*b + 25\/8*b**3 - 11\/8 = 0.\nAnswer: -1\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -887 - (3 - 0). Let j = 894 - u. Solve 0*d + j*d = -55 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 2*f - 38, 9 = -c - 3*f. Let s = c + 47. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/7 + -5\/14. Is -2\/3 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505\/9107*(-14)\/(-130)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 + 119*o**2 - 1172*o + 53. What is b(18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 - 17*t - 9. Let o = -4242 + 4252. Determine x(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*y - 172, 2*y - 44 = 3*z + 90. Let s be z\/(-10) - 2\/(-10). Suppose 5*k = s*p - 405, p + 5*k - 455 = -4*p. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 9, u: 3, l: 2}. What is prob of sequence ln?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290.8 - 196.8. Sort 3\/2, a, -1.5 in ascending order.\nAnswer: -1.5, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 - 2\/(-2). Let i = -30 - -30. Let b = i + q. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 21*g**2 - 26*g - 11. Let b be n(19). Let q = -174 + b. What is the remainder when 72 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.416179 rounded to two dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 410. Let d(p) = 986*p**2. Give d(o(x)).\nAnswer: 986*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2212, 9027, 20384, 36283, 56724?\n\"Answer: 2271*o**2 + 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515009*n + 13 - 13.\nAnswer: -515009*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248205 is divided by 527.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose -l - 4 + 16 = 5*m, 3*m - l - 12 = 0. Let a(f) = 2*f - 6*f**d + 10*f**2 - m*f**2 - 1 + 16*f**2. Determine a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let m be 1350\/(-210) + 1 + 20\/4. Which is the nearest to y? (a) -0.1 (b) 1\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9))**(-16\/7) assuming n is positive.\nAnswer: n**(-16\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60962 and -5?\nAnswer: -304810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/210*(-14)\/(-16)*-2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7110479 to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3504)\/5840*1*(-120)\/(-234)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(-1989)\/(-459)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k - 14*k + 4*k - 3*k to the form m*k + v and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52.2, -3, 0.0299 in ascending order.\nAnswer: -52.2, -3, 0.0299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 31*d**3 - 3*d**2 - d + 1. Let x be q(1). Let t = -21 + x. Suppose 7 + t = 7*r. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132 or -133?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1216)\/240 - (-4)\/(-5)*57\/(-114).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-33\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*h + 15547256, -5*h + 5*p + 1955134 - 21389204 = 0. Let a = -7896814 - h. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 27. Let t be 70\/y + 4\/6. What are the prime factors of (11\/t)\/((-4)\/(-12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + sqrt(448) + (sqrt(448)*-1 - sqrt(448)))\/(-2*sqrt(256)) + -2)*4 + 2.\nAnswer: -6 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(44)\/sqrt(4)) - sqrt(90)*3)\/(-3*2*sqrt(512)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(5 - 2)\/((-9)\/261). Let a = -87 - c. Suppose 0 + 2\/7*k**2 + 2\/7*k**3 + a*k = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*l - 4*u, -3*l + u + 2*u + 180 = 0. Let m = l + -35. Solve -5*v + m = -2*n - 7, -5*v = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 6*l + 6. Let h be m(-4). Suppose 2*k + 24 = 3*q, -4*q - 2*k + 4*k + h = 0. What is the highest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 4*w**2. Let y be i(6). Suppose h = 5*h - y. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g - 228 = -24*g - 4*w, -23*g + 4*w = 458 - 154 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126116 rounded to 5 decimal places?\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyyyukkyyaa. Give prob of sequence ku.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7.4*-0.1\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606, -608, -610, -612, -614?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 2)*(0 - 1 - 6)*(6 - 5 - 33) - 3*p + 4*p - 3*p + (5 - 1 - 2)*(0 - 2*p + 0).\nAnswer: 442*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17406, 17024, 16656, 16308, 15986, 15696, 15444, 15236?\nAnswer: 15078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {l: 9, q: 4, m: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5962a4 - -3?\nAnswer: 5962a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p = -20. Calculate the lowest common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18290477*2\nAnswer: 36580954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -48)*(-10)\/(-20). Suppose -s = -17*l + 12*l. Calculate the remainder when l is divided by 2\/(2\/3) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 14}. Give prob of sequence cnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-25)*(-61)\/(-1891)*93\/(-6)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 - 1. Let m be w(2). Suppose 2*f - 8 = 0, -o - 4*f = -37 - 19. Let g = 54 - o. What is the greatest common factor of g and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*w - 2 + 6, -2*j = 3*w. Solve 9 = j*d - 3*a, -5*d + 6*a = 3*a - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6213 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*r + 20424*r**2 - 624*r + 311*r.\nAnswer: 20424*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - 3*d + 1. Let s be u(-3). Let y be (-2 + s)*1\/31. Let g = y + 73\/341. Which is the third biggest value? (a) g (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 760242166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 686 = -8*n. Let r = n - 108. Let b(l) = l**3 + 2*l**2 + 2*l - 1. Determine b(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15474836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/3 - 2*t**4 + 2*t**3\/3 + 2*t**2 = 0 for t.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 7. Let v be u(-9). Suppose -v*b = -21 + 5. Suppose 9 = b*o + 1. Which is smaller: o or 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00458 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89820\/341 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006049 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 2}. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -37 (b) 5 (c) -0.06 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(13\/(-78))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1084 + 1085. Solve -12*m + 15*m = -3*i, r = i + 2*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 1, n: 4, o: 1}. Give prob of sequence knno.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -0.0260942.\nAnswer: -0.4260942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239 - -236. Let c(j) = 31*j**2 - 2*j - 6. Let a be c(b). What is the highest common factor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 4 in decreasing order.\nAnswer: 9, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14670 - 10346. Which is bigger: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3\/5 + 2*c**2\/5 - 242*c\/5 - 242\/5 = 0.\nAnswer: -11, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 + 2*t + 1. Let d be c(4). Let m = d - -9. Solve -3*o - 5*r - 9 + m = 0, o + 7 = -4*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64574.56 litres to millilitres.\nAnswer: 64574560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3152 and 1379.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 1, u: 2, v: 1, b: 3}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 385.9652 nanoseconds?\nAnswer: 0.0000003859652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by 231\nAnswer: -257\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 40. Let u(i) = i + 1. Let l(d) = -2*d - 9. Let m(p) = -l(p) - 6*u(p). Give m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 - k. Let g be j(2). Let i(p) = p + 1. Does 2 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4. Suppose 0 = -4*k + 3*f - f - 8, 12 = 2*k + 3*f. Let d be j(k). Let w be 4\/6*d\/(-8). Which is the smallest value? (a) w (b) -2\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.64 + -8. Let r = n - 0.04. Suppose -m - 3 = 1. Which is the closest to 0.1? (a) r (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Suppose -6*j - 1 = -19. Let g(l) be the third derivative of -1\/24*l**4 - 3*l**2 + 0 + 0*l**j + 0*l. Give d(g(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 6 - 3*f**2)*(-719 + 78 - 985 + 323).\nAnswer: 3909*f**2 + 1303","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 20944.\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/2 + 0). Let y = 35224 + -35223.8. What is the closest to n in 0.06, -3, y?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiiriiididjdidjr. Give prob of picking 2 d and 1 j.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g + 67. Let s be u(-19). Let j(d) = -2*d**2 - 23*d - 22. Calculate the remainder when j(s) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = j + 18, 0*f = -2*f - 3*j + 1. Let w = f + 0. Suppose w*r - 16 = r. Solve -5*l = -28 + 8, -2*l = r*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.163392303 minus 2.27756?\nAnswer: -2.114167697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1290 and 19?\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3742\/13 - 288. Let q be ((420\/50)\/14)\/(18\/40). What is the nearest to -1 in q, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/10)\/((-3)\/(-30)). Let x be (2\/v)\/((-4)\/8). Let j(m) = 23*m + 851. Let d be j(-37). Which is the nearest to d? (a) 4 (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -2 + 3 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13))**(6\/13) assuming j is positive.\nAnswer: j**(12\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 + 390*m**3 - 2716*m**2 + 2522293*m wrt m?\nAnswer: -12*m**2 + 2340*m - 5432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6249788 is divided by 2064.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-37 - -13) + 13 - (-7 - -25)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 22*n - 6. Let y be m(-11). Let s(f) = -7*f**2 + 9*f + 3. Let i(z) = 6*z**2 - 8*z - 3. Let w(p) = y*i(p) - 5*s(p). Give w(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 16*a - 8. Let q be ((-400)\/175)\/(4\/(-28)). Let u be h(q). Let j(b) = b**3 + 8*b**2 - b - 6. Give j(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 79*y - 23*y - 18*y - 20*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 307 - 107. Let d = 56 - n. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v. Let t(n) = 9*n. Let s(g) = -6*q(g) + 11*t(g). Let x(r) = -3*r - 4*r + 8*r - 2*r. What is x(s(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n, 4*o = -4*n + 123 + 2401. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2548*c + 1621. Let n(o) = 9. Let g(i) = -6*n(i) - s(i). What is the derivative of g(b) wrt b?\nAnswer: 2548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:34 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*j = 1, -21 - 28 = 5*z + 2*j. Calculate the common denominator of -79\/8 and ((-37)\/z)\/((-5)\/30).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5557 - 88957\/16. Find the common denominator of a and (-4)\/18 + 932\/144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5714 less than -9?\nAnswer: 5705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((0 - 1) + 6) - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 318.05 to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t - 15373 = -672*t - 1482*t + 13775 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i + 56 = 0. Let v be (3\/i)\/(42\/880). Let r = v - -2063\/490. Calculate the common denominator of -3\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70590.4 rounded to the nearest one hundred?\nAnswer: 70600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -3*t. Solve m - t*m = -9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1361177 and 3.\nAnswer: 2.8638823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 368*o**2 + 6864*o.\nAnswer: 4*o*(o + 26)*(o + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*6\/(-408)*4\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 7}. What is prob of picking 1 t and 2 j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, w: 1, b: 5, v: 1, q: 4}. What is prob of sequence vwk?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/9 (b) 0 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from ukuuuuuuukuu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 14595*x + 368000.\nAnswer: -5*(x - 2944)*(x + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32782398 divided by 10927466\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3193 or 175691\/55?\nAnswer: 175691\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6135761, 6135781, 6135825, 6135905, 6136033?\n\"Answer: 2*w**3 + 6*w + 6135753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoaznaoznzhannon. Give prob of sequence az.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2 - 10*a - 429.\nAnswer: -6*a - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 20. Find the second derivative of -4*c**5 + 4*c**3 - 4*c**3 + d*c wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 + 3*g**2 - 4. What is u(2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - (sqrt(19) + sqrt(1900) + 2)).\nAnswer: -10*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532804 divided by -10.\nAnswer: -266402\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -121 * 43202.3\nAnswer: -5227478.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12*z - 2. Suppose -3*a + 3 = -3*q, -3*a + 0 = 3*q - 9. What is the least common multiple of ((-9)\/a)\/(3\/(-12)) and n(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 100699. Let p(s) = 3*s**2. What is z(p(y))?\nAnswer: -3*y**2 - 100699","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 1652*i - 23714. Give u(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - b + 1. Let w(u) = 5356*u**2 + 1648*u - 1648. Calculate 1648*i(y) + w(y).\nAnswer: -1236*y**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*h - h, -4*s = -5*h. Suppose -5*w = 4*b - 7*b - 17969, h = b - w + 5993. Let l be b\/(-3) + 14\/21. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 432\/(16\/(-4)) - 3. Let a = i - -156. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2349*i**2*v**2 - 98*i**2*v + i**2 - 2 wrt v?\nAnswer: 4698*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3773?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 - 2*h**3\/3 + 13*h**2\/2 - 2*h + 72. Let v be j(-5). Calculate the greatest common factor of v and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + q + 0*q + (-2 + 4 - 3)*(0*q + 5*q - 3*q) - 3*q + 2*q - q)*(-41 - 253 + 87) to the form n + d*q and give d.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(6\/(-4) + 1). Suppose -5*y = -c - 22, c = -n*y - 0*c + 10. Let 3*m**y + 6*m**3 - 2*m**2 + 0*m**2 + 5*m**2 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffbjjjfjgp. What is prob of picking 1 g, 1 j, and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 29. Let y(r) = 61*r - 95. Let a(u) = -11*u + 19. Let t(q) = 11*a(q) + 2*y(q). Determine -5*l(k) + 8*t(k).\nAnswer: -2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -8259 less than or equal to -9490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, 0.02, -0.1, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k**2 - 4 - k**2 + k**3 + 3*k**2. Let s be i(12). Let f(l) = 3*l**2 - 2*l - 5. Calculate the remainder when f(s) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 2:44 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12\/11 (b) -2\/9 (c) -11 (d) -2\/7 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -0*a + 4*a - 3*w, 0 = -a + 2*w + 57. Let c = 94 - a. Suppose -c - 133 = -5*z + 4*m, -3*m - 12 = 0. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -82477220, -164954442, -247431664, -329908886, -412386108, -494863330?\n\"Answer: -82477222*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 - -140. Solve -5*n + 10 = 0, -3*n + 2 = -5*x - g*n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2111, 8.5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-4)\/2)\/(-6). Solve v*m = m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 12*g - 2. Let b(m) = 10*m**2 + 406 - 13*m - 4*m**2 - 404. Let a(n) = -6*b(n) - 7*r(n). Determine a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, r: 1, u: 1, y: 5}. What is prob of sequence yyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 18 - 13 = -2*b, 4*z - 2*b = 18. Let x be z\/5 + 18\/30. Find the second derivative of x*d - d**2 + d + 2*d**2 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -29. Let l(r) = r**3 + 13*r**2 + 11*r + 4. What is the units digit of l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 169 + 37 + 43 + 47 + 49.\nAnswer: -3*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4770*m + 19051. Calculate t(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3717120 rounded to the nearest ten thousand?\nAnswer: -3720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 + 23605*t\/7 - 70752.\nAnswer: -(t - 23584)*(t - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 - -1231\/11. Suppose 8*n - 2*n = 0. Are a and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020 + -10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10469761 - 10469761 + 1409*q.\nAnswer: 1409*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*w + 4*a, -2*w - 4 = 3*a - 6*a. Let m = 0 - w. Is (m - -83)\/(-1)*-11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3, -4, -5 in ascending order.\nAnswer: -18, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.5, -4, 4\/215, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:25 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 4*v**2 - 5*v**2 - 2*v**2. Let c(a) = 7*a**2. What is 5*c(g) + 6*k(g)?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 3. Let j(z) = -z + 1. Let o(a) = -3*j(a) + s(a). Let p = 34 - 24. Suppose y - p = -y. Give o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/7 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x + 86 = -70*x. Let t(g) = -16*g + x + 17*g - 41. Give t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4952*y**3 - 5311*y + 567785390 wrt y.\nAnswer: 14856*y**2 - 5311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90539 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*(k\/k**(-6))\/k)**18 assuming k is positive.\nAnswer: k**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 9 = 0. Suppose -14*f + 7*f = -63. Suppose 0 = -f*p - 40 - 5. Sort 0, p, w in ascending order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12) + 3569\/172.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d*f*g*i**3 + 2*d*f*g*i**2 + 2*d*g*i**3 - 3*d*g*i + 14*d*i - 2*f*g*i**3 + f*g*i - f*i**2 wrt i.\nAnswer: -114*d*f*g + 12*d*g - 12*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 196464 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1371, -1395, -1419, -1443, -1467?\n\"Answer: -24*b - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 995355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*b = -0*b + 120, d = b + 30. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*t + 28, -4*m + 6*m + 2*t = 8. Let u(l) = -l**3 + 7*l**2 - 5*l + 3. Let c be u(6). What is the highest common divisor of m and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - (sqrt(84)*-1)\/sqrt(12)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-55) + ((-223662)\/22)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/15 - 1528*l**4\/15 + 202462*l**3\/15 + 203992*l**2\/15 = 0.\nAnswer: -1, 0, 172, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194\/1 + (-6 - 21\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, q: 1, e: 1, x: 1, y: 2}. What is prob of sequence qey?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/30 - 8*l**3\/5 + 5*l**2 - 88*l + 9. Let m(g) be the first derivative of c(g). Factor m(s).\nAnswer: -2*(s - 1)*(s + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-20) + (-1064)\/(-10). What is the common denominator of ((-206)\/(-25))\/(4\/(-5)) and h\/33 + 6\/(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*d - 229*d = -87216. What are the prime factors of d?\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -24.7. Let x = -0.9 + f. What is the third biggest value in 3, 5\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 5. Suppose 2*k - 3*q = -25, -3*k + 0*q = 2*q + 5. Let a be s(k). Suppose 0 = 46*x - 41*x - a. Solve 4*b - b = x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/46 - 3\/23. Let r = 8 - 7. Put x, r, 2\/5 in decreasing order.\nAnswer: r, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -142*j - 1656. Let s be b(-12). Solve p = 3*x - 1, x - s = -5*p - 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3) - (-1*(sqrt(12)\/sqrt(4) + sqrt(3)) - sqrt(3)) - sqrt(3)))**2 + -2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -1373, -1475, -1577, -1679, -1781?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-124) + -1*(-1 - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 17381*m**3 + 5814*m**2 - 115892*m + 69528 = 0. Calculate m.\nAnswer: -3, 2\/3, 2, 5794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 302 or 300?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.52 - -0.02. Let k = 0.6 + -0.1. What is the biggest value in -4, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.7 - -14. Let b = t - -3.7. Sort 2, -5, b in descending order.\nAnswer: b, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnskkbnb. Give prob of picking 1 b and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:33 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -23796.\nAnswer: 1\/23796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycccuguuvyuo. Give prob of sequence og.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 3*t)*(-1 - 2 + 2) + 36*t + 48 - 48.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**3 + 6*z. Let l(k) = -6*k**3 - k**2 - 5*k + 1. Let i(v) = 6*l(v) + 5*p(v). Let f be i(-6). What are the prime factors of ((-9)\/f)\/(6\/(-56))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 6*h**2 - 3*h - 4. What is the remainder when (-3162)\/119*(-7)\/2 is divided by x(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 1, d: 9, p: 1, b: 7}. What is prob of sequence bbpd?\nAnswer: 21\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 5*i - i**3 + (3*i + 0*i - i + i**2)*(5*i - 6*i + 8*i).\nAnswer: 6*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725063598?\nAnswer: 2, 3, 7, 19, 41, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 0.3 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 4 (b) 17 (c) -1\/2 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-276)\/(-345) - 36132\/(-10).\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/6)\/(1\/13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2528365, 2528449, 2528597, 2528815, 2529109, 2529485, 2529949?\n\"Answer: a**3 + 26*a**2 - a + 2528339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*f**2*w**3 - f**2*w**2 - 8*f**2*w + 3*f**2 - 1 wrt w.\nAnswer: -126*f**2*w - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*s**5\/3 - 2006*s**4\/3 + 50590*s**3\/3 - 220090*s**2\/3 + 201068*s\/3 - 29584\/3 = 0. Calculate s.\nAnswer: 2\/11, 1, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u - 5*c + 24, -u - 6 = -2*c. Let q be 3 + u + 4 - -3. Suppose 0 = -q*y + 28. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(2) - sqrt(32) - sqrt(2))*1) + (1 + -3 + sqrt(12) + -1)**2.\nAnswer: -25*sqrt(3)\/2 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10211210021?\nAnswer: -10211210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-24 - -12) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*f - 7*d + 48, 3*f + 3*d - 63 = 0. What is the remainder when f is divided by (-1)\/(((-14)\/(-70))\/(-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 161*y + 2460 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 23. Let m = 17 + a. Let c(v) = -v**2 + 9*v - 8. What is the units digit of c(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 43. Let x be z(17). Is -27 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 226*m - 6. What is t(1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-15))\/((-15262)\/(-39) + -1 + 1). Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.84 + 0.16. Let h = -3 + a. Is h not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0)*842\/6. Suppose 0*v = v + i. Let j = v + 656. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44442222220 - -4?\nAnswer: 44442222224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2)\/(15\/((-225)\/48)). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93*i - 165*i**3 - 93*i)*(0*i + 7*i + i) to s*i**2 + p*i**4 + m*i + w + h*i**3 and give p.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 40 + 4 = 0. Let o(y) = -55*y - 4 + 77*y + t. Let a(d) = -8*d. Let z(r) = 4*r. Let p(j) = 2*a(j) + 5*z(j). What is p(o(w))?\nAnswer: 88*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -19*i + 9*i + 8*i. Let o(y) = 19*y**2. Calculate x(o(l)).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 120 = -2*j, -321*x - 41 = -320*x + 6*j for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 400548?\nAnswer: 7610412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 7, 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3211 and 187720?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n - 113. Determine x(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 2. Let d(o) = -o. Let s be d(1). Let x(g) = 4*g + 5. Let f(c) = -c. Let u(k) = s*x(k) + 2*f(k). Determine -7*j(i) + 3*u(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4092*x**2 + 2144*x**2 + 2029*x**2.\nAnswer: 81*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**2 - 15*q + 14. What is the lowest common multiple of 18 and k(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8046800 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 29 = 5*d, -22 = d + 6*t - 11*t for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 8:54 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79339 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 3:04 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(3328) - (sqrt(3328) - 2*sqrt(3328))) + (sqrt(104)*2)\/sqrt(2))\/((sqrt(176) + 2*sqrt(176))\/sqrt(11) + sqrt(16)))**2 + 5).\nAnswer: -1133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/((-27)\/(-21)*154\/264)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1794 - 1696. What is the remainder when l is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 180*k**3 + 415*k**2 - 1350*k + 760.\nAnswer: -5*(k - 38)*(k - 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.0895 + 15.1. Round l to four dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b**2 + 180*b - 49. Calculate the least common multiple of m(10) and 27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81797074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*((-2*c**3 + 1 - 1 + 2*c**2)*(61*c - 50*c - 40*c) + (3*c**3 - 2*c**3 + c**3)*(-5 - 2*c + 5)).\nAnswer: -54*c**5 + 58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*r - 5 = 0, 3*r - 25 = 8*o - 3*o. Suppose -j = -3*j + m + 30, -5*j + 74 = -2*m. Let p = j + o. Calculate the remainder when 35 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 7*c - 3. Let b be u(7). Let t be (2\/(-6))\/(b\/9). Suppose -t + 9 = x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 100\/3 - 46\/3*v - 2\/3*v**2 = 0.\nAnswer: -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7717544 and -0.2.\nAnswer: -1543508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 49383624 divided by 28187\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 122301 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 62202502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m - 145. Let u be c(15). Suppose -15 + 3 = -2*q + 5*h, -u*q - 3*h = 1. Let a = 0.04 + -0.11. What is the closest to 0.1 in 2\/9, q, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 5*l - 4. Let r be u(-6). Suppose -r*s + 13 = -s. Suppose -9*t + s*t = 32. Solve -3*h - t = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 8 - 3*p**2 - 1\/2*p**3 - 9\/2*p. Factor c(y).\nAnswer: -3*(y + 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 + q + 18. Let w be t(0). Let j = w + -41. Which is smaller: j or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3632 + 65413\/18. What is the common denominator of j and 25\/143?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y - 14*y + 5*y to the form h + a*y and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1961*k + 109811. Let t be o(56). Let i = -330 - -5604\/17. What is the third smallest value in -4, i, t, 2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -45*b**2 - 74*b - 32. Let f be v(-10). Let p = -2182 - f. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/7 - 6372*u**3\/7 - 6376*u**2\/7.\nAnswer: 4*u**2*(u - 1594)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -111*b**3 - 3*b - 10. Let k(a) = a**3 + a**2 + a + 1. Let z = 251 + -248. Let n(v) = z*k(v) + g(v). What is the third derivative of n(l) wrt l?\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 5*l)*(3 + 1 - 3 + (3 + 2 - 3)*(-2 + 4 - 1) + 5 - 3 - 1 + 0 + 3 - 2) + (-1 + 0 + 3)*(l - 2*l + 2*l) - 6*l - 2*l - 2*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14355225 divided by 33777?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -x - 11471, 1018 + 10423 = o + 5*x. Does 49 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 29. Let h be 840\/32 - ((-30)\/8 + 3). What is the second derivative of 5*x**5 + u*x - 27 + h wrt x?\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27819629 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-72)\/(-63))*(-924)\/147.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 74 + 15200 = 20*l. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6)*6 + 0 + (sqrt(33)\/(sqrt(147)*-5))**2)*6.\nAnswer: 66\/1225 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 53, 124, 213, 314, 421, 528, 629?\n\"Answer: -w**3 + 18*w**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 54 = -4*h + 16 + 9, -753*j = 5*h - 754*j - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p + 34*p - 6*p)*(p**2 + 2*p**2 - 5*p**2).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 147*o**2\/5 + 434*o\/5 + 288\/5.\nAnswer: (o + 1)*(o + 2)*(o + 144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -878185889, -878185891, -878185893, -878185895, -878185897?\n\"Answer: -2*x - 878185887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 72. Are m and -67 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 92.\nAnswer: -5, -3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 19 = -5*c, 0 = -2*r + 1 - 3. Let p(m) = 4*m - 4. Let j(v) = 3*v - 3. Let h(l) = -6*j(l) + 5*p(l). Is 2 a factor of h(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 750*c**3 + 87035*c**2 - 449580*c - 4514400 = 0 for c.\nAnswer: -228, -5, 11, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177735*i*r**2*y - 89*i*r*y - 52*r**2*y + 2*r**2 - 75047*r + 17*y with respect to i.\nAnswer: 177735*r**2*y - 89*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.92314 to 1 dp.\nAnswer: -76.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5105 + -5102. Solve 3 - 4 = n + 2*d, n - c = -4*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/(1\/10). Let d = 14 + -9. Let b = i + d. Solve r = -b*a + 4*a + 7, 5*r - 13 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -5. Let s be 32\/6*(0 + 3). Calculate the remainder when s\/20*105\/2 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 4*x = 24*m + 324, 2*m + m - 2*x = -0*x - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492813579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14818 - 52964 = 3147*i + 39818 + 56044 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:03 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4024*s + 581*s + 1442*s + 49*s.\nAnswer: -1952*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 - 1111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 105*k**2 + 116*k**2 + 2 + 0.\nAnswer: 221*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 837 = 21*r - 711. Solve 0 = 3*n - 2*b - 7, -r = -10*n + 6*n - 4*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695941698 is divided by 4327?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 19*r - 5 + 11.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -37, 2 in descending order.\nAnswer: 5, 2, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -119*t + 3864. What is o(12)?\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.7599, 5\/3 in increasing order.\nAnswer: 1\/3, 0.7599, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 6*y**3 + 2*y**3 - 2*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 100746*z**2 + 2215080*z + 4027200.\nAnswer: 3*(z + 2)*(z + 20)*(z + 33560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22679083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13825?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 707, 750, 793?\n\"Answer: 43*p + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqq when three letters picked without replacement from qqbsns.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 13. What are the prime factors of g(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918442 divided by -454?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*h**2 + 3)*(6 - 2*h - 6) - 6*h**3 + 3*h**2 - 3*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102879 * -212.\nAnswer: 21810348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2. Let j(k) = 10*k**3 + 13*k**2 + k + 1. Let u(d) = -12*d**3 - 14*d**2 - d - 1. Let c(z) = 7*j(z) + 6*u(z). What is 2*c(o) - 7*t(o)?\nAnswer: 3*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2665*p**3 - p - 854?\nAnswer: 7995*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/41))**(-43)*((m*m\/((m*m\/m**10)\/m))\/m)\/(m\/(m\/((m*m**(-7))\/m))) assuming m is positive.\nAnswer: m**(783\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241888 or -241883?\nAnswer: -241883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiidiiiiiiiiiid. What is prob of sequence iidd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 3561b?\nAnswer: 35621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4461 or 4462?\nAnswer: 4461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 19. Solve u + 3 = p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701598 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 3*r**5 + 4*r**5 + 0*r**5 + 0*r**5 + r**5 + (6*r + r - 5*r)*(-6*r**4 - 51 + 51) + 2 - 2 - 3*r**5.\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n - 26. Suppose 18 = 2*k + 2*s, -5*k - 4*s - 6 = -46. Let r be z(k). Put -1, r, -2 in increasing order.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w = -70*w. Sort 3, 5, w, -43.\nAnswer: -43, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Let k(d) = -d**2 + d + 30. Let t be k(0). Let w(p) = -p**3 + 4*p**2 + 5*p + 3. Let h be w(5). Solve -h*s + 3*u + t = b, 30 = 6*s - s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40, -47, -56, -61, -56, -35, 8?\n\"Answer: y**3 - 7*y**2 + 7*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38854219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b + 2. Calculate the least common multiple of 151 and l(5).\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -1\/4 (c) 1 (d) 0.3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.31 equal to 170503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2822, -22617, -76390, -181145, -353886, -611617, -971342?\nAnswer: -1450065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 + 7*d - 2. Let q be y(-5). Suppose 0*g + 4*t = g - 37, -4*t = 8. Let s = g - q. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6 + 4*j**2 - 7 - j**3 - 3 + 2*j + 14. Let z be d(4). Suppose -2*n + z = -0*n. Solve -2*b = -n*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byhyhhybgyyygbhbyg. What is prob of sequence bg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -21.7. Which is the biggest value? (a) w (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**3 + 3*p**2 + 8*p + 12. Let x(j) = 8*j**3 + 2*j**2 + 9*j + 13. Let b(h) = -6*w(h) + 5*x(h). Is b(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*i + 560 + 35, 5*i - 605 = -3*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-6)\/9988*112\/(-84)). Let y = -1250 - g. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 times -150?\nAnswer: -23850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 15. Let x be r(-6). Solve -5*g + 2*p + 0 = -x, -5*g + 4*p = -29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*i**2 + 117*i**3 - 235*i**2.\nAnswer: 117*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p - 12 = 0. Let q = p - -10. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874093526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922 = -4*z + j - 3079, j = -5*z - 2703. What is the common denominator of -31\/8 and (-2)\/9 + (-5898)\/z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(88)*-1)\/(((sqrt(44) - 2*sqrt(44))*-1)\/sqrt(4)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 5. Let a(x) = -8*x - 11. Let g be a(y). Suppose -1 = 4*p - g. What is the greatest common factor of 143 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16791, 16802, 16813, 16824, 16835, 16846?\n\"Answer: 11*g + 16780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-5)*k*k**(-7)*k*k)\/(((k**(-13)\/k*k)\/k)\/k*k\/(k*k**(1\/4))) assuming k is positive.\nAnswer: k**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/5 - 164*y**2\/5 - 15108*y\/5 - 35244 = 0. Calculate y.\nAnswer: -33, -15, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 9*z**2 + 3*z. Let v(d) = d**2 + d. What is r(o) - 3*v(o)?\nAnswer: -o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.28 (b) -0.5 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose 0 = -2*p + d*i - 2 - 6, -18 = -5*p + 3*i. Suppose -3*y + 0 + p = 0. Solve 10 = -5*o, 5*f - y*f - 3*o = 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 230?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3) - (-28)\/(-30) - 55\/((-2200)\/(-2416)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + 0.32. Let y = 3 - 3. Let w = -9 - -8.8. What is the closest to y in t, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 3520.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*j + 74 + 308, 2*l - j = 153. Find n, given that -22*n**5 - l*n**5 + 4*n**2 - 270*n**4 + 53*n**3 + 78*n**4 - 143*n**3 = 0.\nAnswer: -1, 0, 2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 185 = -145. Let i(f) be the first derivative of -p + 4\/11*f - 2\/33*f**3 + 1\/11*f**2. Factor i(b).\nAnswer: -2*(b - 2)*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10720247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*o + 75, 2*o = -5*f - 2*o + 125. Let s(z) = 2*z**2 - 7*z + 5. Calculate the remainder when f is divided by s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/6 + 4)\/(-1)*40\/(-100).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*x + 11 - 11 in the form a + i*x and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + 88. Let c = v - 186. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, 4, 0.2, 107?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 145*k**3 + 7*k**2 - 10*k - 12. Let y be v(6). Round y to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2. Suppose -27 = -4*q - 15. Suppose -4 = 2*g, -199 = q*f - 6*f + 5*g. Let v(x) = 1 + f*x**2 - 1 - 51*x**2. Calculate v(s(n)).\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 12*a**2 - 12*a + 2. Let d be g(11). Let r(c) = -7*c - 21. Let y be r(d). Suppose 5*u = -y + 117. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*m = -75*m + 21798625. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006348821301 to 6 decimal places.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuouuuoouuuuou?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2 = -2*p, 3*p - 4*t - t - 11 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(-2965)\/15 + 4. Suppose 2*i + 16*o - 12*o - p = 0, -4796 = -4*i + 3*o. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -58, 3, 5 in ascending order.\nAnswer: -58, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3)*0\/(-6))\/1. Solve 3*o = q - 12, 4*q - 3 = -j*o + 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 196548 + -196525.00016. Let k = r + -23. Round k to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428263181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24598*x**3 + 97953*x + 2 wrt x?\nAnswer: 147588*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 20\nAnswer: -27\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 609 - 845 = 0. Let l = p - 295. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3036 and 197432?\nAnswer: 6515256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3236827 is divided by 151?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934 = 52*u - 4058 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**3\/3 - 5*h**2 + 9*h + 6. Let f be g(9). Factor 2\/5*w**2 + 0*w - 2\/5*w**3 + f.\nAnswer: -2*w**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - s**3 + 0*s**3 + (-s**2 + 4*s - 4*s)*(1 + 2*s - 1) + 3*s**3 - 4*s**3 + 2*s**3 + (4*s - 6*s + s)*(s**2 + 2*s**2 - 1 + 0).\nAnswer: -6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9558096*z - 9558095*z + 19116195*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 1, 13, 25, 37?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236217 is divided by 16862.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740 = 440*w - 345 + 245 + 680 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 625001\/((45\/(-100))\/(-9)). Suppose 0 = 5*c + 5*q + v, 4*q - 95641 - 7404343 = 3*c. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 52, 76, 100?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 92 = 4512. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*x - 19 = 11, -4*x + 78 = 5*f. Solve -2*a = -4*h - f, 15 = -235*h + 230*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 12*r**2 - 37*r - 12. Determine p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3784*h + 3785*h + 8, -4*h - 2*b - 14 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnneeennhaennnznv. What is prob of sequence eh?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 12*b**2 - 38*b - 550. List the prime factors of x(-13).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(-4 + 5 + 0)*(3*f + 2*f**2 - 3*f)*(-3 + 6 + 0*f + f + 0 + 0 - f + (f - 3*f + 0*f)*(1 + 1 - 1) - 5*f + 0*f + f).\nAnswer: 108*f**3 - 54*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 57\/9*36\/24.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1830 + -1825. What is the third smallest value in 1\/7, -4, 0.07, 18, v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173154 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11074 + -1053. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:09 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2356801485.\nAnswer: 3, 5, 317, 495647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 2057?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.013 - -0.487. Which is the nearest to 1? (a) -0.1 (b) -0.04 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365 and 36168.\nAnswer: 13201320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 138*o + 1802. Let n be j(-13). Let h(g) = -22*g + 185. Calculate h(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242014*f + 892 = 242055*f - 1445 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 14*z**2 - 12*z. Let k be y(13). What is the second derivative of -158 + 158 - 23*s**5 - k*s wrt s?\nAnswer: -460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let l be y(7). Let u be 4\/l*(7 - -1). Suppose -34 + u = -3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 23*l + 58 = -20*l, 2*l - 62 = 2*s. Is 55 a factor of (-332 + (0 - -1))*(-36 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 57 = 9. Let x = h - -27. What is the least common multiple of ((-3)\/9 - 0)\/(x\/(-72)) and 38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}